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umka21 [38]
3 years ago
13

What is the GCF of 33 and 99?

Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

Answer

33

Step-by-step explanation:

33 goes into 33 1 time and into 99 3 times, thus it is the answer.

Solnce55 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

GCF of 33 and 99 is 33

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Volgvan

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For question 3, the slope would be -5

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8 0
2 years ago
The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent
Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation,

E = Margin of error .

z* = Critical value

2. n=p(1-p)(\dfrac{z^*}{E})^2 , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

n=0.25(\dfrac{z^*}{E})^2

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2

n=0.21(0.79)(65.3333)^2

n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709 [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0
4 years ago
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