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3 years ago

Please help me!!!!lol

Mathematics

1 answer:

joja [24]3 years ago

3 0

Answer:

a = 0, b = 7

a = 1, b = 6

a = 2, b = 5

a = 3, b = 4

a = 4, b = 3

a = 5, b = 2

a = 6, b = 1

a = 7, b = 0

Step-by-step explanation:

the sum of a and b must equal 7 because 4 x 7 = 28

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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

3 years ago

Find the perimeter if a = 1 b = 4 c = 6 d = 5

g100num [7]

Answer:16

Step-by-step explanation:

Add each side togeather

4 0

3 years ago

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What is 87/297 in simplest form??

castortr0y [4]

Answer:

Reduce 87/297 to lowest terms

The simplest form of 87297 is 2999.

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2 years ago

What is the approximate value of q in the equation below?

gayaneshka [121]

Given:

The given equation is $q+\log _{2}(6)=2 q+2$

We need to determine the approximate value of q.

Value of q:

To determine the value of q, let us solve the equation for q.

Hence, Subtracting $\log _{2}(6)$ on both sides of the equation, we get;

$q=2 q+2-\log _{2}(6)$

Subtracting both sides of the equation by 2q, we have;

$-q=2-\log _{2}(6)$

Dividing both sides of the equation by -1, we have;

$q=\log _{2}(6)-2$

Now, substituting the value of $log_2(6)=2.585$ , we have;

$q=2.585-2$

Subtracting the values, we get;

$q=0.585$

Thus, the approximate value of q is 0.585

Hence, Option C is the correct answer.

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4 years ago

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An artist needs to purchase jars of paint. The table shows Which quantity container is the better buy?

frutty [35]

Answer:8-oz jar

First, we have to find out what is the unit rate of the 2-oz jar. $1.50÷2 is $.75.

Second, we have to find the unit rate of the 4-oz jar. $2.92÷4=$73.

Third, we have to find the unit rate of the 8-oz jar. $5.68=$.71.

Fourth, we have to find the unit rate of the 16-oz jar. The division for this one may be tricky. From dividing $11.62 by 16, is stopped at the 3rd number I got from dividing. I got $.726. This is not a value of cents and the value can't go in the thousandths place. So, I rounded .726. I got $.73. So $11.62÷16=$.73.

Lastly, you have to compare the amounts.

The lowest amount or better buy, is $.71 or 8-oz jar.

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3 years ago

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