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3 years ago

9

Please help soon!!!!!

1 answer:

kvv77 [185]3 years ago

3 0

Hope this would help you

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If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3

lyudmila [28]

Answer:

$x$ would be $(1/3)$ when $y = 3$ .

Step-by-step explanation:

The question states that $x$ varies "inversely" as $y^2$ . In other words, there is a non-zero number $a$ (a constant) such that:

$\displaystyle x = \frac{a}{y^2}$ .

The challenging part is to find the value of $a$ in this equation.

Given that $x = 3$ when $y = -1$ , replace the $x$ in this equation with $3$ and $y$ with $(-1)$ . This equation should still be valid:

$\displaystyle 3 = \frac{a}{(-1)^{2}}$ .

Solve for $a$ :

$a = 3 \times (-1)^2 = 3$ .

Hence, the relation between $x$ and $y$ becomes:

$\displaystyle x = \frac{3}{y^2}$ .

Find the value of $x$ when $y = 3$ by replacing the $y$ in this equation with $3$ .

$\displaystyle x = \frac{3}{3^2} = \frac{1}{3}$ .

In other words, the value of $x$ would be $\displaystyle \frac{1}{3}$ when $y = 3$ .

7 0

3 years ago

According to data from the 2010 United States Census, 43.1% of Americans over the age of 65 were male.

MrMuchimi

Answer: $\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$

, where p= population proportion.

n= sample size.

Let p represent the sample proportion of Americans over the age of 65 that were male.

Given : The proportion of Americans over the age of 65 were male.

p= 43.1%=0.431

sample size : n= 60

Then, the mean and standard deviation of the sampling distribution of p will be :-

$\mu_{\hat{p}}=p =0.431\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.431(1-0.431)}{60}}\\\\=\sqrt{0.0041}\approx0.064$

Hence, the mean and standard deviation of the sampling distribution of p :

$\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

4 0

3 years ago

The Jones family budget $5000 a month. THey budget $750 a month for food. What

sladkih [1.3K]

Answer:

15%

Step-by-step explanation:

Divide 750 by 5000 to get 0.15, which is 15%

3 0

4 years ago

On the Red Trail, the distance between point A and point B is 7.3 kilometers. You walked this distance back and forth. What is t

Allisa [31]

Answer:

$d = 14,600\,km$

Step-by-step explanation:

The distanced travelled is equal to twice the distance between points A and B. The distance that was walked in meters is:

$d = 2\cdot (7.3\,km)\cdot \left(\frac{1000\,m}{1\,km} \right)$

$d = 14,600\,km$

8 0

3 years ago

Can anyone help meee?

NeTakaya

The answer is d. 140

8 0

3 years ago

Read 2 more answers