Mr. Cooper ask his students whether they prefer to go to the aquarium or the planetarium for a field trip. The table shows the result

table says:
response | percent
---------------------------------
aquarium | 50
---------------------------------
planetarium | 25

suppose the rest of the class had no preference what is the ratio of students who have no preference to the students who prefer to go to the aquarium

1:5 1:4 1:3 1:2

Answer:

  -5

Step-by-step explanation:

If the second equation is multiplied by 4, the coefficient of the x-variable will be 5·4 = 20. To eliminate the x-variable by addition, the first equation needs to be multiplied by a value that will result in an x-coefficient of -20. If that value is k, then we have ...

  4k = -20

  k = -20/4 = -5

The first equation should be multiplied by -5 to eliminate the x-variable by addition.

_____

Comment on general case

In general, if you have ...

  ax +by = c

  dx +ey = f

to eliminate the x-variable by addition, you can multiply the second equation by "a" and the first equation by "-d". In the problem above, those numbers are 4 and -5.

Answer:

-5

Step-by-step explanation:

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

If this answer is correct, please make me Brainliest!

Answer:

  The graph of the function is negative on (3, ∞)

Step-by-step explanation:

The function starts negative at the left side of the graph, crosses the x-axis at x = -5, touches the x-axis at x = 1, again crosses into negative values at x = 3.

The function is positive on the open intervals (-5, 1) and (1, 3). It is negative on the open intervals (-∞, -5) and (3, ∞). The latter description matches the last answer choice:

  the graph of the function is negative on (3, ∞).

Answer:

13 books.

Step-by-step explanation:

If 100-8 equals 92 divided by 7 equals 13 rounded. That is the # of books.

PLZ MARK BRAINLIEST!!!

Answer:

13 books

Step-by-step explanation:

7b+8 < 100

Subtract 8 from each side

7b+8-8 < 100-8

7b< 92

Divide each side by 7

7b/7 < 92/7

b< 13 1/7

Since we cannot buy part of a book, Brian can buy 13 books without overspending

Answer:

(B) [tex]f(x)=-3(x+1)(x-5)[/tex]

x=5

Step-by-step explanation:

Given the three equivalent forms of f(x):

[tex]f(x)=-3(x-2)^2+27\\f(x)=-3(x+1)(x-5)\\f(x)=-3x^2+12x+15[/tex]

The form which most quickly reveals the zeros (or "roots") of f(x) is

(B) [tex]f(x)=-3(x+1)(x-5)[/tex]

This is as a result of the fact that on equating to zero, the roots becomes immediately  evident.

[tex]f(x)=-3(x+1)(x-5)=0\\-3\neq 0\\Therefore:\\x+1=0$ or x-5=0\\The zeros are x=-1 or x=5[/tex]

Therefore, one of the zeros, x=5

Answer:

i dont think the one above is correct. here is the correct answer

Step-by-step explanation:

Answer:

juice wrld

Step-by-step explanation:

fast

Answer:

yuh

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

they are on the bed

The total legs on the floor excluding chicken is 50 legs

From the given question, the following animals have 4 legs

dogs, cats, girraffe and cows

Duck and chickens both have 2 legs

The total number of legs on the floor = 4(2) + 4(4) + 1(4) + 5(4) + 1(2)

Total number. = 8 + 20 + 22
Total number = 50legs

Hence the total legs on the floor excluding chicken is 50 legs

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Answer:Oop

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Not sure if it is right, don't at me :)

Answer:

B

Step-by-step explanation:

The total surface area of a cubical lunch box having each edge as 10 cm is 600 square centimeter. Therefore, option A is the correct answer.

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, the cubical lunch box having each edge as 10 cm.

Here, surface area = 6×10²

= 600 square centimeter

Therefore, option A is the correct answer.

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Answer:

121 km

Step-by-step explanation:

i added all the number together

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Answer:

 |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

 Null  hypothesis is rejected

We rejected the researcher's claim

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

Step-by-step explanation:

Explanation:-

Given data A researcher claims that 96% of college graduates say their college degree has  been a good investment.

Population proportion 'P' = 0.96

                                       Q = 1-P = 1- 0.96 = 0.04

In a random sample of 2000 graduates, 1500 say their college degree has

been a good investment.

Sample proportion

                       [tex]p^{-} = \frac{x}{n} = \frac{1500}{2000} = 0.75[/tex]

Level of significance  ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

Test statistic

                        [tex]Z = \frac{p^{-} - P }{\sqrt{\frac{PQ}{n} } }[/tex]

                        [tex]Z = \frac{0.75 - 0.96 }{\sqrt{\frac{0.96 X 0.04}{2000} } }[/tex]

                        [tex]Z = \frac{-0.21}{0.00435} = -52.5[/tex]

    |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

  Null  hypothesis is rejected

  We rejected the researcher's claim

Conclusion:-

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

Answer:

DUEDY A. 32 degrees

Step-by-step explanation:

PATROLLING WEE WOOO

Xd

Answer:

55  125

Step-by-step explanation:

Let the smaller angle = x

Let the larger angle = x + 70

They are supplementary so the total of the two angles, by definition must be 180 degrees. Note that you should understand that any number of angles can but supplementary as long as they all add up to 180 degrees.

x + x + 70 = 180

2x + 70 = 180

2x + 70 - 70 = 180 - 70

2x = 110

2x/2 = 110/2

x = 55

the smaller angle = 55 degrees

The larger angle = 55 + 70 = 125

Answer:

198

Step-by-step explanation:

If you add 11,18, 19, 81, 88, 89, 91, 98, 99 then the sum would be 594 then dividing by 3 would be 198.

PLZ MARK BRAINLIEST!!!

Answer:

the 2nd one

i am pretty sure

Step-by-step explanation:

Answer:

C. 1:27

Step-by-step explanation:

a²/b²=1/9 => a=1 and b=3

a³/b³=1³/3³=1/27

C. 1:27

I agree with the other answer. Here's another way to see why the answer is 1:27

The surface areas are in ratio 1:9. This means we could have one square that has area 1 and the larger square is area 9.

The smaller square has sides of 1 and the larger square has sides of 3 (square root both area values).

Now if we had a cube that has dimensions of 1 unit, then the volume is 1*1*1 = 1 cubic unit. If we had a larger cube with dimensions of 3 units, then the volume is 3^3 = 3*3*3 = 27 cubic units. We can fit 27 smaller 1x1x1 cubes into the larger 3x3x3 cube.

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]

Recall that given events E,F the conditional probability of E given F is defined as

[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that

[tex]P(E\cap F) = P(E|F)P(F)[/tex].

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]

We are told to calculate P(A|D), then using the formulas we have

[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

Answer:

  5 units up

Step-by-step explanation:

Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.

f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.

Answer:

The answer is "0.2"

Step-by-step explanation:

Given value:

factor = 10

The amount of two divided by the number of options. When both fours and eight gaps are available, that probability can be defined as follows:

[tex]\Rightarrow \frac{2}{10}\\\\\Rightarrow \frac{1}{5}\\\\\Rightarrow 0.2\\[/tex]

Answer:

D

Step-by-step explanation:

First found amount yielded

A = P(1+r)^nt

P is amount deposited 50,200

r is interest rate 13% = 13/100 = 0.13

t = 3

A = 50,200(1+0.13)^3

A = 50,200(1,13)^3

A = 72,433.42939999998

A is approximately 72,433.43

interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS

Answer:

The null and alternative hypothesis for this study are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]P-value=P(z<-2.624)=0.004[/tex]

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Answer:nth term=a1 - 27n + 27

Step-by-step explanation:

first term =a1

common difference=d=-1-21

d=-27

Using the formula

Tn=a1 + d x (n-1)

nth term=a1 + (-27)(n-1)

nth term=a1 - 27n + 27

Answer:

129.3

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.

Answer:

b, d

Step-by-step explanation:

finished the exam review and was correct (sorry for the late response)

The gap would be filled in the prism shown below as 12 blocks each measuring One-fourth times 1 x 1. 6 blocks each measuring One-half times 1 x 1.

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:

[tex]V = B \times h[/tex]

where h is the height of that prism and B is the area of the base of that prism.

The block has a volume of 2 x 5/2.

The remaining part of the block is filled by

12 blocks each measuring One-fourth times 1 x 1.

6 blocks each measuring One-half times 1 x 1.

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Answer:

V =108 ft^3

Step-by-step explanation:

The volume is found by

V = Bh  where B is the area of the base

B = the area of the trapezoid

B = 1/2 (b1+b2)*h of the trapezoid

B = 1/2(4+6)*4 = 1/2(10)*4 = 20

Now we can find the volume

V = 20* 9

V =108 ft^3

Answer:

a) The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b) The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Step-by-step explanation:

68-95-99.7 rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Z-score:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu = 572[/tex], standard deviation [tex]\sigma = 51[/tex]

a. Use the 68-95-99.7 rule to estimate the range of scores that includes the middle 95% of these test scores.

By the 68-95-99.7 rule, within 2 standard deviations of the mean.

572 - 2*51 = 470

572 + 2*51 = 674

The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b. Use technology to estimate the range of scores that includes the middle 90% of these test scores.

Using the z-score formula.

Between these following percentiles:

50 - (90/2) = 5th percentile

50 + (90/2) = 95th percentile.

5th percentile.

X when Z has a pvalue of 0.05. So when X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = -1.645*51[/tex]

[tex]X = 488.1[/tex]

95th percentile.

X when Z has a pvalue of 0.95. So when X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = 1.645*51[/tex]

[tex]X = 655.9[/tex]

The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23