please help me with this asap
53 POINTS!!!!!!!!!!!!!
The sum of a number and twice its reciprocal is
9/2. If the number is an integer, find the number.
Answer:
x + 2/x = 9/2
multiply through by x
x2 + 2 = (9/2)x
multiply through by 2
2x2 + 4 = 9x
2x2 - 9x + 4 = 0
We can factor by grouping. 2(4) = 8 ...
taken from coefficient of square term and the constant ...
Factors of 8 that add to -9 are (-8)(-1):
Replace -9x with -8x - x
2x2 - 8x - x + 4 = 0
(2x2 - 8x) - (x - 4) = 0
2x(x - 4) - (x-4) = 0
(2x-1)(x-4) = 0
2x-1 = 0 and x = 1/2
OR
x-4 = 0 and x = 4
Your two answers are {1/2, 4}
Please mark brainliest for further answer :)Tom grew eight tomato plants with four seeds packets. How many seed packets does Tom need to have a total of 16 tomato plants?
Answer:
8 seed packets
Step-by-step explanation:
you just need to have half the amount of seed packets of the number of tomato plants grown
A survey of 64 informed voters in Kenya revealed the following information:
45 believe that Voting is a waste of time
49 believe that they have been abducted by space aliens
42 believe both of these things
REQUIRED
i). How many believe neither of these things?
ii). How many believe Voting is a waste of time but don't believe that they have been
abducted by space aliens?
Answer:
i) 12 believe neither of these things.
ii) 3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.
Step-by-step explanation:
I'm going to solve these question treating these events as Venn sets.
I am going to say that:
Event A: Voting is a waste of time.
Event B: They have been abducated by space aliens.
45 believe that Voting is a waste of time
This means that [tex]A = 45[/tex]
49 believe that they have been abducted by space aliens
This means that [tex]B = 49[/tex]
42 believe both of these things
This means that [tex]A \cap B = 42[/tex]
i). How many believe neither of these things?
Total of 64.
At least one is:
[tex]A \cup B = A + B - A \cap B[/tex]
With the values we have
[tex]A \cup B = 45 + 49 - 42 = 52[/tex]
None:
[tex]64 - 52 = 12[/tex]
12 believe neither of these things.
ii). How many believe Voting is a waste of time but don't believe that they have been abducted by space aliens?
This is:
[tex]A - B = A - (A \cap B) = 45 - 42 = 3[/tex]
3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.
1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31
36
O 42
O 48
what is 49, 423 rounded to the nearest ten thousand?
Answer:
50,000
Step-by-step explanation:
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me. answer with full explanation. No links please
Answer:
There is a 54% chance that the Jets will win the Stanley Cup.
Step-by-step explanation:
Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:
(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X
2.70 / 5 = X
0.54 = X
Thus, there is a 54% chance that the Jets will win the Stanley Cup.
A farmer packed 37 pumpkins . Each pumpkin had a weight of about 48 ounces .He put them into three baskets. : The weight of the pumpkins in baskets A was 3 Time that of the pumpkins in baskets. : The weight of the pumpkins in basket B was twice that of the pumpkins in Basket C. : The weight of the empty basket C was 140 ounces. :What was the total weight of basket C and the pumpkins in it.
Answer:
436 ounces
Step-by-step explanation:
You start of by finding the total weight of the pumpkins
37 × 48 = 1776 ounces
We know that basket A+B+C has to equal the total weight of the pumpkins
Since basket C is by itself it's weight alone equals p (pumpkins)
A=3p
B=2p
C=p
Now we put the equation together
[tex]total weight of pumpkins= A+B+C[/tex]
1776=3p+2p+p
1776= 6p
Divide the the 6 over to get p by itself
[tex]\frac{1776}{6} =p[/tex]
p=296 ounces
Then you have to add the weight of the empty basket
296+140= 436 ounces
I have to show work of how i get the values of x, y and z
x= -3
y=4
z=5
Answer:
use symbolab, it helps explain your math problems step by step.
Step-by-step explanation:
What is an equivalent ratio to 3:4?
Answer:
12:16
Step-by-step explanation:
3 x 4 = 12
4 x 4 = 16
Answer:
6:8, 9:12, or 12: 16
Step-by-step explanation:
don't know how many you need but hope this helps! :))
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
Evaluate the expression : (4 x 5)2 – 6 + 3 II
help I'm doing a test online
Answer:
8x5−3
Step-by-step explanation:
Expand 4(8y-12)......
Answer:
(4 * 8y) - (4 * 12)
Step-by-step explanation:
We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"
Therefore :
(4 * 8y)(4 * -12)
Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :
(4 * 8y) - (4 * 12)
Evaluate the expression when c=6 and d=4. d+7c
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{d + 7c}\\\large\textsf{= 4 + 7(6)}\\\large\textsf{= 4 + 7 + 7 + 7 + 7 + 7 + 7}\\\large\textsf{= 4 + 14 + 14 + 14}\\\large\textsf{= 4 + 28 + 14}\\\large\textsf{= 4 + 42}\\\large\textsf{= 46}\\\\\large\textsf{Therefore, your answer should be: 46 }\large\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{\star \ Amphitrite1040:) \ \heartsuit}[/tex]
Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
Answer:
22 minus 4 = 18
18 divided by 3 is equal to 6
then following from the question now that we got the answer
so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22
your welcome
Answer:
6
Step-by-step explanation:
let x be the number of cards
3x + 4 = 22
3x = 18
x = 6
Landon is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Landon need to invest, to the nearest dollar, for the value of the account to reach $3,250 in 18 years?
Answer:
$990.95
Step-by-step explanation:
The computation of the present value or the invested amount is given below:
Given that
NPER = 18 × 365 days
RATE = 6.6% ÷ 365
FV = $3,250
PMT = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
AFter applying the above formula, the present value is $990.95
Answer:
the answer is 991 when rounded to the nearest dollar
Step-by-step explanation:
Round your answer to the nearest tenth of a cubic centimeter.
Answer:
22.1
Step-by-step explanation:
Because of it being a pyramid we must use the equation Bh1/2
B = L + W we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height
9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5
44.16/2 = 22.08 then finally rounding to the nearest tenth
making 22.1 cubic inches
In the figure, Line a is parallel to line b. If angle 1 = 105º what is the measurement of angle 6?
Answer:
75
Step-by-step explanation:
angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal
Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. C[0, 1], the set of all continuous functions defined on the interval [0, 1], with the standard operations
Answer:
It is a vector space
Step-by-step explanation:
The set of all continuous functions C[0,1 ] defined on the interval [0,1] is a vector space
as proven below ( attached below is a required proof that it is a vector space )
The set checks out for additivity, scalar multiplication and associativity hence it is a vector space
Please help asap Find the area of this circle. Use
3.14 for it.
108 in.
The area of the circle is about in.2.
(Round to the nearest hundredth as needed.)
Answer:
I know what the answer is if you be more clear. Is 108 the diameter?
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly. Store's Card Major Credit Card Sample size 64 49 Sample mean $140 $125 Population standard deviation $10 $8 Refer to Exhibit 10-6. At 95% confidence, the margin of error is
Answer:
The margin of error is of $3.3124.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Store's Card:
Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]
Major Credit Card:
Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]
Subtraction:
Mean: 140 - 125 = 15
Standard deviation:
[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
Then
[tex]M = 1.96*1.69 = 3.3124[/tex]
The margin of error is of $3.3124.
A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?
A. 96 in³
B. 192 in³
C. 48 in³
D. 22 in³
Answer:
192 in cubed
Step-by-step explanation:
Multiply 12*2= 24*8
Answer:
192 should be yyour answer
Step-by-step explanation:
Use the graph of the function f to determine the given limit. f(x) x→ -3
Answer:
explanation is in a files
Help ASAP I’ll mark branlyest
Answer:
A) 45cm²
Step-by-step explanation:
area of triangle = 1/2×base ×height
therefore, 1/2×10×9
=45cm²
the answer is c, i assume
Step-by-step explanation:
I am not certain about this answer, but give it a go.
Is {(-3,0), (13,4), (6,3), (13,-4), (22,5)} a function? Please explain if possible
Given: f(x) = x2 and g(x) = x +1, find g[f(-2)].
1
5
-3
Step-by-step explanation:
what number does the unknown stands for
Answer:
is 1
Step-by-step explanation:
(-2+1)^2 is 1
44% of all statistics classes require a statistical calculator and 27% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 15% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) a. P(Statistical Calculator) = Correct b. P(Statistical Software) = Correct c. P(Require a Statistical Calculator and Statistical Software) = d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =
Answer:
I'm not exactly sure what this is asking, so i'm going to answer each part
A. 44%
B. 27%
C. 11.88% (assuming independence)
D. 61.36%
Step-by-step explanation:
Honestly I'm not really sure what he's asking but for A and B the answer is in the question. For C i assumed independence and multiplied the respective probabilities. For D I divided .27/.66 since it is a dependency probability
The probabilities of the events are
a. 0.44
b. 0.27
c. 0.1188
d. 0.2444.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Statistics classes require a statistical calculator = 44% = 0.44
Statistics classes require a computer that has statistical software = 27% = 0.27
Of the classes that require a statistical calculator, classes also require the use of a computer = 15% = 0.15
a. P(Statistical Calculator) = 0.44
b. P(Statistical Software) = 0.27
c. P(Require a Statistical Calculator and Statistical Software) = [tex](0.44)(0.27)[/tex]
⇒ [tex]0.1188[/tex]
d. P(Require a Statistical Calculator GIVEN Require Statistical Software)
⇒ [tex]\frac{0.066}{0.27}[/tex]
⇒ [tex]0.244[/tex]
Hence we can conclude that the probabilities of the events are
a. 0.44
b. 0.27
c. 0.1188
d. 0.2444.
Learn more about probability here
https://brainly.com/question/19130157
#SPJ2
find the area of the kite
Answer:
396
Step-by-step explanation:
blank minus 1/2 equals to 1/5
Answer:
____ or x = 7/10
Step-by-step explanation:
Lets rewrite it
____ - 1/2 = 1/5
Lets say ____ = x
x - 1/2 = 1/5
x = 1/2 + 1/5
x = 5/10 + 2/10
x = 7/10
CHECK
7/10 - 1/2 =
7/10 - 5/10 = 2/10 = 1/5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K