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3 years ago

9

Think of two different prime numbers, and write them on your paper. Then write the greatest common factor (GCF) of the two prime

numbers.

1 answer:

Firlakuza [10]3 years ago

8 0

Answer:

3, 11

The only common factor of Prime Numbers is 1

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PLSSS GET THIS RIGHT

Anuta_ua [19.1K]

6 más 8 son 14 es muy fácil suerte

8 0

3 years ago

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are

STALIN [3.7K]

Answer:

We conclude that the proportion of dropouts has changed from the historical value of 0.081.

Step-by-step explanation:

We are given that in 2009, the high school dropout rate was 8.1%. A polling company recently took a survey of 1000 people between the ages of 16 and 24 and found 6.5% of them are high school dropouts.

The polling company would like to determine whether the proportion of dropouts has changed from the historical value of 0.081.

<em>Let p = proportion of school dropouts rate</em>

SO, <u>Null Hypothesis,</u> $H_0$ : p = 0.081 {means that the proportion of dropouts has not changed from the historical value of 0.081}

<u>Alternate Hypothesis</u>, $H_A$ : p $\neq$ 0.081 {means that the proportion of dropouts has changed from the historical value of 0.081}

The test statistics that will be used here is <u>One-sample z proportion statistics</u>;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of high school dropout rate = 6.5%

n = sample of people = 1000

So, <u><em>test statistics</em></u> = $\frac{0.065-0.081}{{\sqrt{\frac{0.065(1-0.065)}{1000} } } } }$

= -2.05

<u>Also, P-value is given by the following formula;</u>

P-value = P(Z < -2.05) = 1 - P(Z $\leq$ 2.05)

= 1 - 0.97982 = <u>0.0202</u> or 2.02%

<em>Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of dropouts has changed from the historical value of 0.081.

7 0

4 years ago

You are borrowing $4,285 to purchase a computer using a 36 month installment plan. Determine the annual percentage rate (APR) an

Setler79 [48]

The price of the computer is 4 285 dollars which you borrowed for an installment plan.
Let's solve for the APR and the monthly payment.
The interest charge is 513.26 dollars for 36 months
=> 36 months = 3 years
=> 513.26 / 3 years = 171.1 dollars per year is the interest.

=> 4 285 + 513.26 = 4 798.26 dollars
=> <span> 4 798.26 dollars /3 years = 1599.42 dollars per year
</span>=><span>599.42 dollars / 12 months 133.29 dollars per month</span>

8 0

3 years ago

A 45-45-90 triangle has a hypotenuse of length 9. What is the length of one of its legs? If necessary, round your answer to two

olga55 [171]

HL(c) = a² + b² = c²
c = 9
c² = 18
√18= 4.24264068712

So! since this triangle is a "45° 45° 90°"
The two short legs are equivalent

meaning each side equals; <span>4.24264068712</span>

7 0

3 years ago

Wanda started walking along a path 2 minutes (120 seconds) before Dave. Wanda walked at a constant rate of 5 feet per second. Da

sleet_krkn [62]

<span>Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked along the same path at a constant rate of 4.5 feet per second. How long after Dave starts walking will he catch up with Wanda ?
***
let x=travel time of Dave
x+27=travel time of Wanda
speed*travel time=distance (same for both Wanda and dave)

..
4.5x=3(x+27)
4.5x=3x+81
1.5x=81
x=54
How long after Dave starts walking will he catch up with Wanda ? 54 sec</span>

7 0

4 years ago