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il63 [147K]
3 years ago
7

The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and le

t b represent the second number. What are the two numbers? Use the table to answer the question.
Mathematics
2 answers:
inn [45]3 years ago
8 0

Write 2 equations:

a +b = 39

and b = 1/2a + 6

Now replace b in the first equation with the second one:

a + 1/2a + 6 = 39

Combine like terms:

1 1/2a + 6 = 39

Subtract 6 from each side:

1 1/2a = 33

Divide both sides by 1 1/2:

a = 33 / 1 1/2 = 33 / 1.5

a = 22

Now replace a with 22 in the first equation and solve for b:

22 + b = 39

b = 39 -22

b = 17

The two numbers are 17 and 22.

ohaa [14]3 years ago
8 0

Answer:22 and 17

Step-by-step explanation:

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In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height
tatyana61 [14]

Answer:

Test statistic t=6.505

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Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

H_0: \mu=0\\\\H_a:\mu> 0

The significance level is assumed to be 0.05.

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

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The degrees of freedom for this sample size are:

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This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>6.505)=0

As the P-value (0) 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 parents tend to underestimate their youngest child's size.

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Step-by-step explanation:

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2 years ago
Thank you all for helping so far, mind if I ask again, haha​
wariber [46]

Answer:

10 < 18 + 7

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True yyes

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Step-by-step explanation:

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goblinko [34]

Answer:

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Step-by-step explanation:

We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

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We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for <em>x</em>.

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Cross multiply:

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Lewis wants to play several games of paintball with his friends. At the park, it costs $16.97 for admission and paintballs, and
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