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2 years ago

What is the lenth of MN

Mathematics

2 answers:

mote1985 [20]2 years ago

8 0

The answer to your question is A

alexgriva [62]2 years ago

4 0

MLN is an isosceles triangle

ML = MN

3x = x + 8

Subtract x from both sides

2x = 8

Divide both sides by 2

x = 4

MN = 4 + 8 = 12

Answer

A. 12

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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

3 years ago

The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip wil

iVinArrow [24]

Answer:

$10:02:24\ \text{pm}$

Step-by-step explanation:

d = Distance to travel = 880 miles

s = Average speed of the car = 65 mph

Time taken to cover the distance is

$t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}$

Time the car stopped

$3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}$

Total time of the journey

$13.54+1.5=15.04\ \text{hours}$

Converting $0.04\ \text{hours}$ to minutes

$0.04\times 60=2.4$

So, the total time taken for the journey is $15\ \text{hours and }2\ \text{minutes and }24\text{seconds}$

Time when they reach their destination

$7:30+15:2.4\approx 10:02:24\ \text{pm}$

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