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Finger [1]
2 years ago
12

4 Eric sketches a rectangle with a perimeter of

Mathematics
1 answer:
natka813 [3]2 years ago
7 0

Answer:

<em>2(x) + 2(x + 3) = 90 </em>

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 w^{} + 2 l^{}

P = <em>2(x) + 2(x + 3) = 90</em>

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in the 1980s, an average mortgage range was around 18.75%. how much less per month would a $125,000 30 year mortgage be today if
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  $1289.48

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3 years ago
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mars1129 [50]

Answer:

x = 8

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8 0
2 years ago
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

P-value=0

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 sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505

The degrees of freedom for this sample size are:

df=n-1=39-1=38

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.

5 0
3 years ago
Write an exponential function to describe the given sequence of numbers.
andriy [413]

Answer:

  a(n) = 9·6^(n-1)

Step-by-step explanation:

The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...

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Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

  a(n) = 9·6^(n-1)

5 0
3 years ago
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