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2 years ago

Find the number that makes the ration equivalent to 77:99

Mathematics

1 answer:

Leno4ka [110]2 years ago

7 0

Each are divisible by 11 so the ratio equivalent would be 7:9

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10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best re

strojnjashka [21]

Answer:

An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents

this relationship?

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3 years ago

Use the distributive property to remove the parentheses. -6(5y-2u-3)

olga55 [171]

<h2>Answer: -30y + 12u + 18 </h2>

<h3>Step-by-step explanation:</h3>

<em> by multiplying each term in the parentheses by the term outside</em>

-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)

= -30y + 12u + 18

7 0

2 years ago

The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m

Sever21 [200]

Answer:

0.2

Step-by-step explanation:

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bonufazy [111]

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Step-by-step explanation:

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3 years ago