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ratelena [41]
2 years ago
15

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?

8 0
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:

8 0
3 years ago
4150 people show up to watch the tiger eat on most days. Today there were 15% few people. How many people were there today?
bonufazy [111]

Answer:                                                                                                                                     622

Step-by-step explanation:

8 0
3 years ago
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