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creativ13 [48]
3 years ago
10

A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will

last less than 10 years? (2 points)
0.621%
6.21%
93.79%
99.379%
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: \frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%
So the answer is the first option <span>0.621%</span>
Alecsey [184]3 years ago
3 0

Standard Deviation = A = 0.8

Mean = 12 years

We will use normal distribution to calculate probability.

Let a Random variable  Z , has A = 0.8, and M= 12 years.

Probability that a car will be able to last < 10 years= P(Z<10)

= P[\frac{Z-M}{A}

Pr (Z < -5/2) = 0.00621[ By using standard table]

= 0.00621 ×100

=0.621%→ Option A .

 

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________________________________________________________
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3 0
2 years ago
Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
g100num [7]

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

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3 years ago
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