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3 years ago

How do you solve probability

Mathematics

1 answer:

mina [271]3 years ago

5 0

Answer:

Step-by-step explanation:

probability=number of times of outcome/total number of possible outcomes

for example;

in a class of 12 boys, and 18 girls ,the probability that a student selected from the class is a boy is

p(B)=12/30=2/5, since the number of boys in the class is 12 and the total number of students in the class is 30 also the probability that a girl is picked

=18/30=3/5.

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 11.97

$z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5$

For x = 12.04

$z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2$

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

$P(511.97$

Hence, the probability that the shipment is found satisfactory=0.9104

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3 years ago

Could the value of x in the triangle below be 4, 6, 9, or 10?<br>brainliest

Eva8 [605]

Answer:

Step-by-step explanation:

I am not completely sure.

if x=4 then it would be 12

if x=6 then it would be 18

if x=9 then it would be 27

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the side is shorter than 19 but definitely longer than 6. To me, it looks like a little more than double, more of triple and 6 times 3 is 18.

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Answer:

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