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3 years ago

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Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents th

e relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

72=2h

Step-by-step explanation:

6x12=72

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A college entrance exam company determined that a score of 2323 on the mathematics portion of the exam suggests that a student i

aleksandrvk [35]

Answer:

a) The null and alternative hypothesis are:

$H_0: \mu=23\\\\H_a:\mu> 23$

c) Test statistic t=1.53

P-value=0.064

d) The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that students who complete the core curriculum are ready for college-level mathematics. That is that the true score for the group is not significantly higher than 23.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>a) State the appropriate null and alternative hypotheses.</em>

<em>c) Use the P-value approach at the 0.05 level of significance to test the hypotheses in part (a). ldentify the test statistic. (Round to two decimal places as needed.) Identfy the P-value. P-value (Round to three decimal places as needed.) </em>

<em>d) Write a conclusion based on the results. Choose the correct answer below. ? the null hypothesis and claim that there ? sufficient evidence to conclude that the population mean is ? than 20.</em>

This is a hypothesis test for the population mean.

The claim is that students who complete the core curriculum are ready for college-level mathematics.

Then, the null and alternative hypothesis are:

$H_0: \mu=23\\\\H_a:\mu> 23$

The significance level is assumed to be 0.05.

The sample has a size n=150.

The sample mean is M=23.4.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3.2}{\sqrt{150}}=0.261$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{23.4-23}{0.261}=\dfrac{0.4}{0.261}=1.531$

The degrees of freedom for this sample size are:

$df=n-1=150-1=149$

This test is a right-tailed test, with 149 degrees of freedom and t=1.531, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>1.531)=0.064$

As the P-value (0.064) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that students who complete the core curriculum are ready for college-level mathematics.

6 0

3 years ago

The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and

WITCHER [35]

9514 1404 393

Answer:

(a) 2 or 3

(b) -13

Step-by-step explanation:

(a) A, B, and C are collinear if there is some constant 'c' such that ...

B - A = c(C - A)

This will give rise to two equations in 'c' and 'k'.

(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))

(k +1, k -5) = c(2k, k -6)

And the two equations are ...

k +1 = 2ck

k -5 = c(k -6)

From the first, we find ...

c = (k +1)/(2k)

From the second, we find ...

c = (k -5)/(k -6)

Equating these expressions for c gives ...

(k +1)/(2k) = (k -5)/(k -6)

(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)

k^2 -5k -6 = 2k^2 -10k

0 = k^2 -5k +6 = (k -3)(k -2)

Solutions that make the factors zero are ...

k = 3 or k = 2

There are two values of k that make the points collinear: 2 and 3.

__

(b) AB is parallel to CD when the slopes of the lines between them are the same

slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)

slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2

Equating these slopes and solving for k, we get ...

(k -5)/(k +1) = 3/2

2(k -5) = 3(k +1)

2k -10 = 3k +3

-13 = k

AB is parallel to CD when k = -13.

_____

The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).

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3 years ago

How much would a Jacket cost if they were originally marked for $275 but on sale for 10% off. (No tax) Write your answer and exp

anastassius [24]

Answer:

I hope this will help you

MP = $275

Discount = 10%

SP= MP - DISCOUNT % OF MP

= $275 - (10÷100)× 275

= $275 - $ 27.5

= $257.5

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3 years ago

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Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of

QveST [7]

Answer:

80ft

Step-by-step explanation:

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3 years ago

If 2g - 4 = 6, then g =

Scrat [10]

Answer:

Then g = 5.

Step-by-step explanation:

The only number that fits in g is 5.

2*5 - 4 = 6

So 2 x 5 = 10.

Which the equation is now 10 - 4 = 6.

So the answer is 5.

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