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Vanyuwa [196]
3 years ago
13

Consider the probability that no fewer than 74 out of 112 houses will lose power once a year. Assume the probability that a give

n house will lose power once a year is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer: the normal curve can be used as an  approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112

Step-by-step explanation:

for a binomial experiment to be approximated to normal distribution, the following conditions must be present:

i.  sample size must be large, in this case sample size is 112

ii.  the mean must be equal to np,where n is sample size and p is probability  of success

iii.  the standard deviation must be equal to npq,where q is the probability of failure

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Rewrite the expression 14m-(5+8m) without parentheses
JulijaS [17]

Answer:

14m-5-8m

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Use a graphing calculator to solve the equation -2sin(theta)= 1.2 in the interval from 0 to 2pi.
elena-s [515]

Answer:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64  

Step-by-step explanation:

As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

\theta=3.7\\\\and\\\\\theta=5.7

So, it's useful to solve the equation too, in order to verify the result:

-2sin(\theta)=1.2\\\\sin(\theta)=-\frac{3}{5}

Taking the inverse sine of both sides:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

\theta\approx 3.785\\\\\theta \approx 5.64

8 0
3 years ago
What is 294 miles every 14 gallons
azamat
294 miles per 14 gallons = 21 miles per 1 gallon
3 0
3 years ago
HELP PLEASE.<br> Both questions.
egoroff_w [7]

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle




So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.


Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

  

I hope that helps!


I am with you if you faced any difficulties!




5 0
3 years ago
Item 5 There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow. Which ratio represents the n
OlgaM077 [116]

Answer:

3:5 <em>the colon is needed to represent the ratio</em>

Step-by-step explanation:

r = 10

g = 4

y = 30 - 14 = 6

y = 6

so ratio of total balls is 10:4:6

and ratio of y:r is

6:10

simply by dividing by 2

3:5

4 0
2 years ago
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