Which expression is equivalent to 5(2+7)?

Answer:

6 units

Step-by-step explanation:

Using readings taken from the coordinate upon which the triangle is drawn :

The area of triangle is given as :

Area of triangle = 0.5 * base * height

The base of the triangle = 4 units

The height of the triangle = 3 units

The Area of the triangle is thus :

0.5 * 4 * 3

0.5 * 12

= 6 units

Answer:

The area of the given triangle is 6 units²

Answer:

17

Step-by-step explanation:

IQR = Q3 - Q1

1st Quartile: 13

3rd Quartile: 30

IQR = 30 - 13 = 17

The value of A when we rewrite 3^x as A^5x is 3^⅕

We have given that,

The value of A when we rewrite 3^x as A^5x.

The power (or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number.

3^x

(3^⅕)^(5x)

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Answer:

3^1/5

Step-by-step explanation:

The question asks us to find P(AB) given that A and B are collectively exhaustive events with P(A) = P(B) and P(AUB) = 0.60.

This means that A and B are mutually exclusive, and they together represent the entire sample space. Therefore, we can write the following equations: P(A) + P(B) = 1 (Collectively exhaustive events)

P(A) = P(B) (Given)P(AUB) = P(A) + P(B) - P(AB) (Addition rule of probability)

We know that P(AUB) = 0.60 and P(A) = P(B).

Substituting these values in the above equations, we get:

0.60 = 2P(A) - P(AB) ...(1)P(A) + P(B) = 1P(A) + P(A) = 1 (P(A) = P(B))2P(A) = 1P(A) = 1/2

Substituting P(A) in equation (1), we get:0.60 = 2(1/2) - P(AB)P(AB) = 1 - 0.60P(AB) = 0.40

Therefore, P(AB) = 0.40.

Hence, this is the required answer.

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Answer: 7/4

Step-by-step explanation: To find the slope of a line, pick any two integer points, in this scenario the only two are (3,4) and (-1,-3). The slope is the rise over run, so think about it. To get from (-1,-3) to )3,4) you need to rise 7 units (difference in y coordinates) and from there you need to run 4 units, so it is 7/4. Keep in mind that rising up is positive for y and running to the right is positive for x.

Answer:

[tex]\frac{7}{4}x[/tex]

Step-by-step explanation:

How do you find slope on a graph? The slope is "rise/run" where "rise" is how much y spaces are moved to the next point and "run" is the how much spaces are moved to the next x point.

Step One: In this case, the point moves up 7 spaces to the next point, so that's the "rise" and then it moves 4 spaces to the right to the next point, so that's the "run"

Step Two: When we put it together, it is 7/4x. The x is just an indication that this is slope, and you don't have to worry about it until you learn how to plug it in.

Answer:

30%

Step-by-step explanation:

Answer:

1. The 20 students in a seventh grade math class.

4. The 10 seventh graders on the school soccer team.

Step-by-step explanation:

I just submitted the form and these are the right answers :)

It might be not on time but still lol.

I AM SURE THOSE ARE RIGHT ANSWERS !!! :)))

The 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The samples that are a part of the population of interest, which is seventh grade students at your school, are:

The 20 students in a seventh grade math class.

The seventh grade students participating in a science fair put on by the four middle schools in a school district (if the students are from your school).

The 10 seventh graders on the school soccer team (if they are from your school).

The samples that are not a part of the population of interest are:

The first 20 students to arrive at school on a particular day (as this may include students from different grades or schools).

The students on the school debate team (as this may include students from different grades or schools).

Hence,  the 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples

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Answer: hello your question has some missing information attached below is the missing information

Step-by-step explanation:

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

where : μ1 = mean number of errors made in pretest

            μ2 = mean number of errors made in post test

n = 9

attached below is the detailed solution

False. "If the conclusion of a valid argument is false, then all of the premises must be false" is incorrect.

The statement "If the conclusion of a valid argument is false, then all of the premises must be false" is incorrect. In a valid argument, the truth of the premises guarantees the truth of the conclusion, but it does not guarantee the truth of the conclusion in reverse. This means that even if the conclusion of a valid argument is false, it does not necessarily imply that all of the premises must be false.

A valid argument is one in which the conclusion logically follows from the premises. It is possible for the premises to be true and still lead to a false conclusion due to errors in reasoning or incorrect logical connections. In such cases, the argument is considered valid but unsound.

To illustrate this, consider the following example:

Premise 1: All birds have feathers.

Premise 2: Penguins are birds.

Conclusion: Therefore, penguins can fly.

This argument is logically valid because the conclusion follows logically from the premises. However, the conclusion is false because penguins cannot fly. In this case, the premises are true, but the conclusion is false.

Therefore, the statement that all of the premises must be false if the conclusion of a valid argument is false is incorrect.

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Answer:

First row: 2,1

Second row: 3,4

The formula for calculating an unbiased estimate

of the covariance coefficient of variables x and y of a large (but finite) population, based on a random sample of n items is:

(1/n-1) * ∑(Xi - X bar) * (Yi - Y bar)`,

where Xi and Yi are the values of the it h observation of x and y, X bar and Y bar are the means of x and y, respectively, and n is the sample size.

If we have to get an unbiased estimate of the covariance coefficient of variables x and y of a large (but finite) population, based on a random sample of n items, then we can use the formula:

(1/n-1) * ∑(Xi - X bar) * (Yi - Y bar)

where, the unbiased estimate of the covariance coefficient of x and y

Xi = the value of the it h observation of x

Yi = the value of the it h observation of y

X bar = the mean of x

Y bar = the mean of y

n = the sample size of the population

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Answer:

76

Step-by-step explanation:

I made a chart to simplify it

1 | -8

2| -2

3| 4

4| 10

5| 16

6| 22

7| 28

8| 34

9| 40

10| 46

11| 52

12| 58

13| 64

14| 70

15| 76

Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

Learn

The  probability that no letter is repeated in the password is approximately 0.0000194293, or about 0.0019%.

To calculate the probability that no letter is repeated in a password created using 8 letters from the alphabet (repetition allowed), we need to consider the total number of possible passwords and the number of passwords without repeated letters.

The number of possible passwords can be calculated by considering that each letter in the password can be chosen independently from the 26 letters in the alphabet. Therefore, there are 26 choices for each of the 8 positions, resulting in a total of 26^8 possible passwords.

To calculate the number of passwords without repeated letters, we can consider the choices for each position. For the first position, we have 26 options. For the second position, we have 25 options (since we cannot repeat the letter chosen for the first position). Similarly, for the third position, we have 24 options, and so on.

Using the multiplication principle, the number of passwords without repeated letters is given by 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19.

Therefore, the probability that no letter is repeated in the password can be calculated as:

Probability = (Number of passwords without repeated letters) / (Total number of possible passwords)
= (26 * 25 * 24 * 23 * 22 * 21 * 20 * 19) / (26^8)

Calculating this probability:

Probability ≈ 0.0000194293

So, the probability that no letter is repeated in the password is approximately 0.0000194293, or  about 0.0019%.

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Answer:

5 yd

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

                      = 3² + 4²

                       = 9 + 16

                       = 25

Hypotenuse = √25 = √5*5 = 5 yd

Answer:

253 mmHg

Step-by-step explanation:

Since the atmospheric pressure, [tex]P(a) = 760e^{-0.13a}[/tex]

when a = height (in km) = 8.47 km, then the atmospheric pressure P(a) is

[tex]P(a) = 760e^{-0.13a}\\P(8.47) = 760e^{-0.13X8.47}\\P(8.47) = 760e^{-1.1011} \\P(8.47 )= 760 X 0.33251 \\P(8.47)= 252.7 mmHg\\[/tex]

P(8.47) ≅ 253 mmHg

Answer:

I guess the ans d is correct because using pythagoras theorem we get 91.26 ft .

The Honda Accord Hybrid would recoup the price difference with its lower fuel costs in approximately 6.8 years when driving 800 miles per month.

The Honda Accord Hybrid, priced at $31,665, has a fuel efficiency of 48 mpg, while the gas-powered Honda Accord, priced at $26,100, has a fuel efficiency of 31 mpg. To determine the distance that needs to be driven to recoup the cost difference, we can use the formula: $Saved = $Gas x (distance driven) x (GM now / GM improved). Considering the average gas price of $4.35, we can substitute the values into the formula and solve for the distance driven.

Using algebraic calculations, we find that the distance needed to recoup the price difference is approximately 50,472 miles. With a monthly mileage of 800 miles, it would take approximately 63 months or 6.8 years to recover the cost difference between the two vehicles.

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d. "Start with a normal approximation as most variables are normal" is least likely to be primary means of investigating normality in a distribution X.

a.  Graphically plot the data in a histogram and use the eyeball test to check for asymmetry or skew. This method involves visually examining the shape of the distribution by creating a histogram. Any noticeable asymmetry or skewness can indicate non-normality.

b. Observe a computerized output for the Q-Q plot of the distribution. A Q-Q plot compares the quantiles of the observed data with the quantiles of a theoretical distribution, such as the normal distribution. If the points on the Q-Q plot closely follow a straight line, it suggests the data is normally distributed.

c. Calculate the observed and expected z-score values and determine any major deviations. By transforming the data into z-scores and comparing them to the expected values under a normal distribution, deviations from normality can be identified. Significant deviations indicate departures from normality.

d. Start with a normal approximation as most variables are normal. This option suggests assuming normality without conducting specific tests or employing appropriate techniques to assess normality. While this approach may be reasonable in certain cases based on prior knowledge or theoretical considerations, it lacks a direct means of investigating normality.

d. "Start with a normal approximation as most variables are normal" is least likely to be primary means of investigating normality in a distribution X.

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The function f(x) = x - 2 has a domain of all real numbers and a range of all real numbers. Its inverse function, f^(-1)(x), also has a domain and range of all real numbers.

The domain of a function represents the set of all possible input values for the function. In the case of f(x) = x - 2, since there are no restrictions or limitations on the input variable x, the domain is all real numbers.

To find the range of the function, we consider the possible output values. The function f(x) = x - 2 is a linear function with a slope of 1. It means that for any input value of x, the output value will be that input value minus 2. Therefore, the range is also all real numbers.

To find the inverse function, we swap the roles of the input and output variables and solve for the new output variable. For the given function, we have f(x) = x - 2. Replacing f(x) with y, we get the equation y = x - 2. To find the inverse, we isolate x:

x = y + 2

Now, we replace x with the inverse function notation f^(-1)(x) and y with x:

f^(-1)(x) = x + 2

The inverse function has the same domain and range as the original function, which is all real numbers.

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The probability of being given a queen-size or a twin bed when registering is approximately 0.453 or 45.3%.

To calculate the probability of being given a queen-size or a twin bed, we need to determine the total number of queen-size and twin beds available, as well as the total number of beds overall.

Total number of queen-size beds = 24

Total number of twin beds = 24

Total number of beds = 33 (king-size) + 24 (queen-size) + 25 (double) + 24 (twin) = 106

To calculate the probability, we divide the number of favorable outcomes (queen-size or twin bed) by the number of possible outcomes (total number of beds).

Number of favorable outcomes = Number of queen-size beds + Number of twin beds = 24 + 24 = 48

Probability = Number of favorable outcomes / Total number of beds

Probability = 48 / 106 ≈ 0.453

Therefore, the probability of being given a queen-size or a twin bed when registering is approximately 0.453 or 45.3%.

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Intuitively, a larger sample should lead to a smaller confidence interval (fixing the level of confidence). The following most accurately gives a reason for this in the mathematics we use to make the confidence interval:

The standard error goes down because of the greater sample size in the denominator. (And other aspects remain the same.) And the t'-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. This is true.

The standard error goes down because of the greater sample size in the denominator. This is because the formula for the standard error involves taking the square root of the sample size in the denominator. Therefore, as the sample size increases, the denominator of the standard error formula increases, causing the standard error to decrease. And the t'-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. This is because the t-distribution is symmetrical and bell-shaped, with fatter tails than the normal distribution. As the sample size n increases, the t-distribution approaches the normal distribution, with thinner tails, which means that the t-values become smaller as n increases.

Hence, the correct option is (O) The standard error goes down because the standard deviation of the sample will go down. (And other aspects remain the same.) The mean will be more accurate with a larger sample size. The standard error goes down because of the greater sample size in the denominator. And the t-value associated with the t-distribution goes down because t_n has "smaller tails" as n gets large.

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Answer:

$6,100

Step-by-step explanation:

So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.

Answer:

$6200

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

3x-21=x+7

2x-21=7

2x=28

x=14

substitute x for 14

14+7=21

2X14-21+21

The Laplace transform of f(t) = (sin(-4t))^2 is not among the given options.

The Laplace transform of f(t) = (sin(-4t))^2 is none of the given options. Let's find the correct Laplace transform for the given function.

The Laplace transform of a function f(t) is denoted as L{f(t)} and is defined as:

L{f(t)} = ∫[0 to ∞] f(t) * e^(-st) dt,

where s is the complex variable.

In this case, f(t) = (sin(-4t))^2. To find its Laplace transform, we need to apply the definition of the Laplace transform and evaluate the integral:

L{f(t)} = ∫[0 to ∞] (sin(-4t))^2 * e^(-st) dt.

However, before proceeding with the integration, we can simplify the function using trigonometric identities:

(sin(-4t))^2 = (-sin(4t))^2 = sin^2(4t).

Now, we can rewrite the Laplace transform as:

L{f(t)} = ∫[0 to ∞] sin^2(4t) * e^(-st) dt.

At this point, we can utilize a well-known trigonometric identity that relates the square of the sine function to a combination of 1 and cosine functions:

sin^2(θ) = (1 - cos(2θ))/2.

Applying this identity to our expression:

L{f(t)} = ∫[0 to ∞] (1 - cos(8t))/2 * e^(-st) dt.

Now, we can split this integral into two parts and simplify further:

L{f(t)} = (1/2) ∫[0 to ∞] e^(-st) dt - (1/2) ∫[0 to ∞] cos(8t) * e^(-st) dt.

The first integral represents the Laplace transform of 1, which is 1/s:

L{f(t)} = (1/2) * (1/s) - (1/2) ∫[0 to ∞] cos(8t) * e^(-st) dt.

The second integral can be evaluated using standard Laplace transform formulas. However, without additional information or constraints on the Laplace transform variable 's', we cannot simplify it further.

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The solution to the given problem is as follows:N in this study = 1017P in this study = 143/1017 = 0.1407 (rounded to 4 decimal places)

Given, the sample size n = 1017, and the sample proportion of people who would avoid seeking treatment due to high healthcare costs = 143/1017 = 0.1407

Since we need to calculate the 95% confidence interval for the proportion of the American adult population who would avoid seeking treatment for COVID-19 due to the high costs of healthcare, we need to calculate the standard error of the proportion.

The formula to calculate the standard error of the proportion is:

Standard error of the proportion = sqrt [ p * (1 - p) / n ]

Substituting the values, we get:

Standard error of the proportion = sqrt [ 0.1407 * (1 - 0.1407) / 1017 ]= 0.0141 (rounded to 4 decimal places)

To calculate the 95% confidence interval, we use the following formula:

95% confidence interval = sample proportion ± margin of error

Margin of error = Z * (standard error of the proportion)

where Z is the Z-score corresponding to the confidence level.

For 95% confidence level, Z = 1.96.

Substituting the values, we get:

Margin of error = 1.96 * 0.0141= 0.0276 (rounded to 4 decimal places)

Therefore, the 95% confidence interval for the proportion of the American adult population who would avoid seeking treatment for COVID-19 due to the high costs of healthcare is given by:

0.1407 ± 0.0276= (0.1131, 0.1683) (rounded to 4 decimal places)

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Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

[tex]\frac{30}{70}[/tex] × 100 = 42.86%

[tex]\frac{12}{30}[/tex] × 100 = 40%

[tex]\frac{9}{21}[/tex] × 100 = 42.86%

[tex]\frac{6}{14}[/tex] x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

Answer: 6 × 1

To write a number in expanded form, add the places by it's number.

Ex: 231 → 200 + 30 + 1 = 231

In the problem, 6 is what we're expanding.

Since 6 is only just 1 digit, it is possible to expand a 1 digit number. All you'll need to do it multiply the digit by 1.

6 → 6 × 1 = 6

Therefore, 6 × 1 is the expanded form of 6.