an aquarium measures 16 in. × 8 in. × 10 in. how many liters of water does it hold? how many gallons?

Answers

Answer 1

The aquarium with dimensions 16 in. × 8 in. × 10 in. can hold approximately 30.6 liters of water and approximately 8.09 gallons.

To calculate the volume of the aquarium, we multiply its length, width, and height. Since the dimensions are given in inches, we need to convert the volume to liters and gallons.

First, let's calculate the volume in cubic inches:

Volume = Length × Width × Height = 16 in. × 8 in. × 10 in. = 1280 cubic inches.

To convert cubic inches to liters, we divide the volume by 61.024:

Volume in liters = 1280 in³ / 61.024 = 20.96 liters (rounded to two decimal places).

To convert liters to gallons, we divide the volume by 3.78541:

Volume in gallons = 20.96 liters / 3.78541 = 5.53 gallons (rounded to two decimal places).

Therefore, the aquarium can hold approximately 30.6 liters of water and approximately 8.09 gallons.

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Related Questions

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

1=10. x6=60

Factor the expression: 2x^2 +21x+49

Answers

Answer:

(2x+7)(x+7)

Step-by-step explanation:

HELP

Is x+7 a factor of p(x)

Answers

Answer:

No

Step-by-step explanation:

Because the remainder is not zero

The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

What is the range of the set of data?

Answers

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI

Answers

Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:

Berverly has 2 pens she buys 1 more pen enter the numerical expressions in the box that models this situation

Answers

Answer:

2 + 1 = 3

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Berverly already has = 2 pens

Berverly bought = 1 pen

Then to show this situation in numerical expression, we have to add both values, then

= 2 + 1 = 3

Hence, this shows that the total number of pens Berverly has after buying is 3.

Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?

Answers

Answer:

I would expect Emmy to get 8 hits in her next 16 tosses.

Emmy is to get 8 hits in her next 16 tosses.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data.

The probability is,

P = 9 / 18

P = 0.5

The expected number of the hits on the target in 16 tosses will be;-

Number = 16 x 0.5

Number = 8

Therefore, Emmy is to get 8 hits in her next 16 tosses.

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CAN SOMEONE PLEASE HELP!!! I DONT UNDERSTAND. I WILL GIVE BRAINLIEST!!!

Answers

Answer:

586.76

Step-by-step explanation:

Take the area of the rectangular prism = 348

Find the area of the cylinder = 477.52

Divide the cylinder by 2 = 238.76

Add both together = 586.76

The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square of the third. Find the integers. Please show work.

Answers

Answer:

6, 8 and 10  and  -2, 0, 2

There are two roots x = -2 and 6,    

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is  -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z    even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z²                                   substitiute x terms  in for y and z

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²           solve for x by graphing on DEMOS

                                                                 x = -2, 6  solved algebraically below

x = -2   y=0   z=2

x = 6    y=8   z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8                  when x = -2

   0   =  0

and

6(8)(10)  =  6³ + 8² +2(10)²      when x = 6

   480   =  216+64+200

             =  480

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²                           solved algebraically

(x²+2x)(x+4)   = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

      3x² - 12x - 36 = 0         factor out the 3

      3[x² - 4x - 12] = 0

       3(x+2)(x-6) = 0     x = -2 and -12

Jimrgrant or Someone Answer this PLZ

Answers

Answer:

C and A

Step-by-step explanation:

For the triangle to be isosceles then the legs are congruent, that is

XZ = XY , substitute values

5x - 1 = 3x + 5 ( subtract 3x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3 → C

(10)

The diagonals of a square bisect each other

Calculate PR using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)

PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]

     = [tex]\sqrt{6^2+(-8)^2}[/tex]

     = [tex]\sqrt{36+64}[/tex]

     = [tex]\sqrt{100}[/tex]

     = 10

Then

PT = 0.5 × 10 = 5 → A

Michael wants to know if support for a local referendum on gay rights is related to political party affiliation. He conducts a survey of 200 local residents and asks them their political party affiliation and whether they intend to vote for or against the referendum. He learns that 16 people who say they are republican are for the referendum and 54 are against. Of those who say they are democrat, 72 people are for the referendum and 28 are against it. Some people identified as "other" and among that group, 3 were against the referendum and 27 were in favor of it. How would you represent the data in a table? Identify the null and alternative hypothesis. Conduct the appropriate analysis with a=.05. What should Michael conclude?

Answers

The answer is the test statistic (13.765) is greater than the critical value (5.991), we reject the null hypothesis. Therefore, we can conclude that there is a significant relationship between political party affiliation and support for the referendum on gay rights.

To represent the data in a table, we can create a contingency table:

                             For      Against

Republican            16        54

Democrat              72        28

Other                     27         3

Null hypothesis (H₀): There is no relationship between political party affiliation and support for the referendum on gay rights.

Alternative hypothesis (H₁): There is a relationship between political party affiliation and support for the referendum on gay rights.

To analyze the data, we can perform a chi-square test of independence. This test will determine if there is a significant association between political party affiliation and support for the referendum.

Applying the chi-square test at a significance level (α) of 0.05, we can calculate the test statistic and compare it to the critical value from the chi-square distribution with (rows - 1) × (columns - 1) degrees of freedom.

Let's calculate the expected frequencies for each cell assuming the null hypothesis is true:

                          For      Against    Total

Republican          27        43            70

Democrat            48        52           100

Other                   12        18             30

Total                    87       113            200

Now, we can calculate the chi-square statistic:

χ² = Σ[(O - E)² / E]

where O is the observed frequency and E is the expected frequency.

Performing the calculations, we find:

χ² ≈ 13.765

To determine the critical value, we need to find the degrees of freedom, which is equal to (rows - 1) × (columns - 1) = (3 - 1) × (2 - 1) = 2.

Using a chi-square distribution table or a statistical software, we find that the critical value for a significance level of 0.05 and 2 degrees of freedom is approximately 5.991.

Since the test statistic (13.765) is greater than the critical value (5.991), we reject the null hypothesis. Therefore, we can conclude that there is a significant relationship between political party affiliation and support for the referendum on gay rights.

In Michael's survey data, political party affiliation is related to the support for the referendum. Further analysis and interpretation of the results are needed to understand the nature and strength of this relationship.

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Draw a graph which has the following adjacency matrix: [2 1 1 0] 1 0 0 1 1 0 0 1 0 1 1 0 (b) Label the vertices of your graph A,B,C,D (in any order). (c) How many different paths of length 10 are there from the vertex you labelled A to the vertex you labeled D in the graph you draw in part (a)? Show your working.

Answers

In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

Given that,

a. We have to draw a graph which has the following adjacency matrix

[tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex]

Taking the matrix rows and column as A,B,C,D.

Therefore, In the drawing the graph is with matrix.

(b) We have to label the vertices of your graph A,B,C,D.

The drawing can be seen with the label of vertices A,B,C,D.

(c) We have to find how many different paths of length are there from the vertex you labelled A to D

A →A →B →A→A→B→A→C→D

A→A→A→A→A→C→D

A→A→A→A→A→B→D

Therefore, In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

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6th grade math plz help

Answers

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive

Answers

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use if she makes 32 bowls of potato salad ?

Answers

Answer:

8 cups of potatoes are needed

Step-by-step explanation:

One way of doing this work is to write out

1/4 cup                                             1 cup

------------- , which is equivalent to  ------------ (a unit rate)

 1 bowl                                              4 bowl

and then multiply this unit rate by 32 bowls:

(1/4)(32 bowls) = 8 cups of potatoes are needed

HELP
I WILL GIVE YOU BRAINLIEST

Give the solution to this quadratic.
y = 3(x-1)^2

Answers

Answer:

y=3x^2-6x+3

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer

Answers

Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

Help ASAP 15 Points

The hot water heater in the Alvarez's home holds 70 gallons of water. Each shower taken uses 5.4 gallons
of water. How much water is left after 3 showers. (Hint: Write an equation relating the number of showers and
the number of gallons left in the tank)

Answers

Answer:

53.8 gallons

Step-by-step explanation:

5.4*3=16.2

5.4 (gallons used per shower) * 3 (number of showers) = 16.2 (gallons used in 3 showers)

70-16.2=53.8

70 (Water in tank) - 16.2 (gallons used in 3 showers) = 53.8 (gallons of water left)

Hope this helps! Please brainliest!!!

Answer:

A(3) = 53.8 gallons left after 3 showers

Step-by-step explanation:

A(x) = volume of water left in tank = 70 gallons - (5.4 gallons)x, where x is the number of showers already taken.  

After  3 showers, the volume of water left is A(3) = 70 gal - (5.4 gallons)(3), or

A(3) = 53.8 gallons left after 3 showers

Help please the question is in the photo

Answers

First one (ignore22222323333333)

Can we just get rid of math forever?

Answers

Answer:

I don't think so .... :(((

Can anyone solve these please, cos I'm nucklehead and my brain won't work


×-10=13

t+20=44

y
_ =7
5​

Answers

Answer:

Hello There!!

Step-by-step explanation:

1.×-10=13. 13+10=23

2.t+20=44. 44-20=24

3.y/5=7. 5×7=35

You do the inverse operations to find the unknown number.For example if it is minus you do plus. e.g x-7=19 . 19+7=26

hope this helps,have a great

give the slope of the line with equation 17x = -34; then graph the line

Answers

Answer:

Slope: Undefined

Step-by-step explanation:

Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form

Answers

I hope this helps you

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(1.5, -4)

Step-by-step explanation:

( -1, -5) and (4, -3)

[tex](\frac{-1+4}{2} ,\frac{-5-3}{2} )\\\\(\frac{3}{2} ,\frac{-8}{2} )\\\\(1.5,-4)[/tex]

approximate the sum of the series correct to four decimal places. [infinity] (−1)n − 1n2 8n n = 1

Answers

To approximate the sum of the series [infinity] (−1)n−1n^2/(8n), we can use a numerical method such as the partial sum method.

Let's calculate the partial sums of the series and add up terms until the sum converges to a desired level of accuracy. We will stop adding terms once the absolute difference between two consecutive partial sums is less than the desired accuracy.

Let's start by calculating the partial sums:

S_1 = (-1)^1-1(1^2)/(81) = 1/8

S_2 = (-1)^2-1(1^2)/(82) + (-1)^1-1(2^2)/(82) = 1/8 - 1/16 = 1/16

S_3 = (-1)^3-1(1^2)/(83) + (-1)^2-1(2^2)/(83) + (-1)^1-1(3^2)/(83) = 1/8 - 1/16 - 1/24 = -1/24

We can observe that the partial sums alternate between positive and negative values. This indicates that the series does not converge to a specific value but oscillates between two values.

To approximate the sum, we will calculate partial sums until the difference between two consecutive partial sums is less than the desired accuracy. Let's say we want the accuracy to be 0.0001.

Let's continue calculating partial sums:

S_4 = (-1)^4-1(1^2)/(84) + (-1)^3-1(2^2)/(84) + (-1)^2-1(3^2)/(84) + (-1)^1-1(4^2)/(84) = 1/8 - 1/16 - 1/24 + 1/32 = -1/48

S_5 = (-1)^5-1(1^2)/(85) + (-1)^4-1(2^2)/(85) + (-1)^3-1(3^2)/(85) + (-1)^2-1(4^2)/(85) + (-1)^1-1(5^2)/(8*5) = 1/8 - 1/16 - 1/24 + 1/32 + 1/40 = 1/120

The difference between S_4 and S_5 is 1/120 - (-1/48) = 1/120 + 1/48 = 1/80, which is greater than 0.0001.

Therefore, we can approximate the sum of the series as -1/48, correct to four decimal places.

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A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results means of two populations are shown below. Assume that two dependent samples have been randomly selected from normally distributed populations. Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnast scores?

before 9.5, 9.4, 9.6, 9.5, 9.5, 9.6, 9.7

after 9.6, 9.6, 9.6, 9.4, 9.6, 9.9, 9.5

Answers

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnasts scores.

In hypothesis testing, we often use significance levels such as 0.01 to determine whether or not there is enough evidence to support the hypothesis.

Here is the solution to the given problem.

The null hypothesis is that the training technique is not effective in raising the gymnasts' scores.

It is expressed as

H0: µd = 0.

The alternative hypothesis is that the technique is effective in raising the gymnasts' scores.

It is expressed as

Ha: µd > 0.

The significance level α = 0.01 is given.

Therefore, the given problem can be tested using a one-tailed t-test.

This is because the alternative hypothesis states that the mean difference between the two populations is greater than zero.

A t-test is appropriate because the sample sizes are less than 30.

The difference between the before and after competition scores of each gymnast should be calculated.

This gives us the difference scores, which are as follows:

0.1, 0.2, -0.02, -0.1, 0.1, 0.3, -0.2.

Next, we compute the mean and standard deviation of the differences. We have:

n = 7d

= 0.0714Sd

= 0.1466

Then we compute the t-statistic:

t = (d - µd) / (Sd / √n)

t = (0.0714 - 0) / (0.1466 / √7)

t = 1.5184

The degrees of freedom for this test are (n - 1) = 6.

Using a t-distribution table with 6 degrees of freedom and a significance level of 0.01 for a one-tailed test, we find that the critical t-value is 2.998.

For the given problem, the test statistic t = 1.5184 is less than the critical value of 2.998.

Therefore, we do not reject the null hypothesis.

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnast scores.

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What is the area of the triangle?
5
4
3
units2

Answers

Answer:

area of triangle =1/2 p×b=1/2×4×3=6unit²


What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.

Answers

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.

Answers

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

What is Volume?

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

How To Calculate the Volume?

Here are the steps to calculate volume of any solid shape:

Identify all the given parameters that are useful and are required to substitute in the respective volume formula. Such as the radius to be 'r' and height to be 'h', the slant height, diameter, etc.Make sure all the parameters are of the same units.Substitute the values in the volume formula of the respective shapes.Write the units as cubic units.

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

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find the nth maclaurin polynomial for the function. f(x) = sin(x), n = 3
P3(x) = ___

Answers

The third-degree Maclaurin polynomial for f(x) = sin(x) is P3(x) = x - (x^3) / 6.

To find the nth Maclaurin polynomial for the function f(x) = sin(x) when n = 3, we need to compute the polynomial up to the third-degree term.

The Maclaurin polynomial for a function f(x) centered at x = 0 is given by the formula:

Pn(x) = f(0) + f'(0)x + (f''(0)x^2) / 2! + (f'''(0)x^3) / 3! + ...

Let's calculate the nth Maclaurin polynomial for f(x) = sin(x) when n = 3:

First, we find the values of the function and its derivatives at x = 0:

f(0) = sin(0) = 0

f'(x) = cos(x), so f'(0) = cos(0) = 1

f''(x) = -sin(x), so f''(0) = -sin(0) = 0

f'''(x) = -cos(x), so f'''(0) = -cos(0) = -1

Using these values, we can write the Maclaurin polynomial:

P3(x) = 0 + 1x + (0x^2) / 2! + (-1x^3) / 3!

Simplifying further, we have:

P3(x) = x - (x^3) / 6.

Therefore, the third-degree Maclaurin polynomial for f(x) = sin(x) is:

P3(x) = x - (x^3) / 6.

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Other Questions
Which of the following is true about the auditors' observation of the client's physical inventory?A. The auditors should plan the physical inventory.B. The auditors should segregate damaged and obsolete goods.C. The auditors should evaluate the adequacy of the client's counting procedures.D. The auditors should supervise the client's personnel. although the eoc plays a critical role in coordination to support the on-scene response, tactical decisions about the incident are the responsibility of the: 31. Which of the following is least likely an example of a discrete random variable?A. The number of stocks a person ownsB. The time spent by a portfolio manager with a clientC. The number of days it rains in a month in Iowa City32. For a continuous random variable X, the probability of any single value of X is:A. one.B. zero.C. determined by the CDF33. Which of the following is least likely a condition of a binomial experiment?A. There are only two trialsB. The trials are independentC. If p is the probability of success, and q is the probability of failure, then p + q = 134. For the standard normal distribution, the z-value gives the distance between the mean and a point in terms of the:A. varianceB. standard deviationC. center of the curve35. For a standard normal distribution, F (0) is:A. 0.0B. 0.1C. 0.536. For the standard normal distribution, P (0 Z 1.96) is:A. 0.4713B. 0.4745C. 0.475037. A study of hedge fund investors found that their annual household incomes are normally distributed with a mean of $175,000 and a standard deviation of $25,000.The percent of hedge fund investors that have incomes less than $100,000 is closest to:A. 0.05%B. 0.10%C. 0.13%38. The probability that a normally distributed random variable will be more than two standard deviations above its mean is:A. 0.0228B. 0.4772C. 0.977239. Which of the following statements about hypothesis testing is most accurate?A. A Type II error is rejecting the null when it is actually trueB. The significance level equals one minus the probability of a Type I errorC. A two-tailed test with a significance level of 5% has z-critical values of 1.9640. Austin Roberts believes that the mean price of houses in the area is greater than $145,000. A random sample of 36 houses in the area has a mean price of $149,750. The population standard deviation is $24,000, and Roberts wants to conduct a hypothesis test at a 1% level of significance.The appropriate alternative hypothesis is:A. Ha: < $145,000B. Ha: $145,000C. Ha: > $145,000 fish are 2n=80. what is the chance that a single ganete produced bya 3b fish will be normal and thus fertile? show work please A mover in a moving truck is using a rope to pull a 424 lb box up a ramp that has an incline of 22. What is the force needed to hold the box in a stationary position to prevent the box from sliding down the ramp? lifestyle choices are usually an important factor in the development of heart disease. please select the best answer from the choices provided. TRUE/FALSE The gravitational force between two objects is 1600 N. What will be the gravitational force between the objects if the distance between them doubles?a.400 Nb.800 Nc.3200 Nd.6400 N "Why do companies analyze their logistics systems from theperspective of nodes and links? Suppose the government runs a redistributive tax scheme. That is, the government redistributes income across the two groups by setting tl = 1/2 y and tb = 1/2 y in the current period and t'b = 1/2 y and t'l = 1/2 y in the future period. Use a graphical analysis to analyse the effects of the introduction of the new tax scheme on the consumer choice of group b Complete the function definition to return the hours given minutes. Output for sample program when the user inputs 210.0:3.5#include using namespace std;double GetMinutesAsHours(double origMinutes) {// INPUT ANSWER HERE}int main() {double minutes;cin >> minutes;// Will be run with 210.0, 3600.0, and 0.0.cout Give at least two examples of contract clauses that seem to contain "punitive damages" clauses and whether you feel such clauses should or should bot be enforced. (An example if the "returned check fees" that banks charged) Which organization has the primary responsibility for settingGenerally Accepted Accounting Principles (GAAP) in Canada?Multiple ChoiceCPA CanadaIFRSthe Canadian ParliamentASPE true/false. scientists mapping the size of the algal blooms and dead zone have noticed a correlation Question 1 2 pts A merchant sells an item for $400 and offers credit terms of 1/10, n/30. If the customer decides to pay the invoice within the discount period how much cash will the merchant receive? a wire 35.0 cm long, carrying a current of 3.50 a is placed at an angle of 40 degrees in a uniform magnetic field of 0.002 t. find the force on teh wire According to "William Bosman Slave Trader" the Dutch West India Company declared war on African kingdoms None of the above the Dutch West India Company sold the most expensive slave the Dutch West India Company provided the healthest conditions of all slave trading companies the Dutch West India Company provided the worst conditions of all slave trading companies A child sitting 1.70 m from the center of a merry-go-round moves with a speed of 1.05 m/s.Calculate the centripetal acceleration of the child.Express your answer using three significant figures.Calculate the net horizontal force exerted on the child. (mass = 33.5 kg )Express your answer using three significant figures. FILL THE BLANK. "Suppose the MARR is 12%. Use the following table to answer thequestion--The IRR on the FMS Investment is ____.CMSFMSInitial Investment$20,000$29,000Annual Revenue6,6889,102Useful L" Today the federal reserve system attempts to stabilize the economy of the United States by1) requiring federal budgets be prepared and presented to congress2) levying and collecting income taxes 3) regulating interest rates and the money supply 4) backing all currency with silver and gold Anta networks want to modernize their networking system. Proposals have been received from two major software companies. The first proposal cost OMR9million but will raise the firm's annual cash flows by OMR5million. The second proposal cost OMR8million and provides cash flow of OMR5.5million a year. Both projects have a life span of 4 years. Assuming that the cost of capital is 9%, which proposal may be recommended on the basis of Net Present Value criteria.