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4 years ago

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Mathematics

1 answer:

Nadya [2.5K]4 years ago

6 0

Answer:

257 acres

Step-by-step explanation:

Area of whole pasture = πr²

=(22/7)(4/5)²

= 2.01 square miles

5 *( area of each sector) = Area of whole pasture

Area of pasture = 2.01/5

= 0.402 square miles

= 0.402 × 640 acres

= 257.28 acres

≈ 257 acres

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Which is bigger, 70% of 200 or 3/4 of 160

Alla [95]

140>120
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3 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

The population of Ketchum high school has been decreasing by 5% per year. If it's population is currently 2,600 students, which

Olin [163]

I think its 206 because you'll have to change 5% into a decimal and you'll
get 0.05 because you move the decimal place to the left 2 times. Then multiply
2,600 to 0.05 to get what the population decreasing for a year, (130) then multiply is by 2 (for 2 years) and you'll get
260 students.
-Have fun in math :/

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4 years ago

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Tpy6a [65]

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Natali5045456 [20]

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3 years ago

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