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Mathematics

1 answer:

zepelin [54]3 years ago

7 0

31 trust In me I learned this last week

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An article in a magazine discussed the length of time till failure of a particular product. At the end of theâ product's lifetim

diamong [38]

Answer:

Step-by-step explanation:

From the missing information;

Lets assume that;

$\text{the exponential distribution mean = 500 thousand naira}$

$\text{Range 100 thousand}$ → $\text{1 million naira}$

∴

$X \sim exp (\dfrac{1}{500}) \\ \\ P( X \le x) = 1 - e^{\dfrac{-x}{500}} \\ \\ P(X < 700) = 1 - e^{\frac{-7}{5}} \\ \\ \mathbf{P(X< 700) = 0.75340}$

$Y \sim \cup (100,1000) \implies P(Y \le y ) = \dfrac{y - 100}{1000-100} \\ \\ P(Y < 700) = \dfrac{600}{900} = 0.67$

$P(X < 830)= 1 - e^{\frac{-830}{500}} \\ \\ P(X < 830)= 1 - 0.1901 \\ \\ P(X < 830)=0.8099 \\ \\ P(Y < 830) = \dfrac{730}{900} = 0.8111 \\ \\ Thus;\mathbf{ P(X < 0.8099) = P(Y< 0.8111)}$

4 0

3 years ago

Use a net to find the surface area of the right triangular prism shown below:

stiv31 [10]

Answer:

216

Step-by-step explanation:

8 0

3 years ago

A secretary answered 88 phone calls in a day. Of these phone calls 18 we're from Plano Texas. What is the ratio of the number of

Masja [62]

Answer:

9 to 44 is the ratio of the number of phone calls that we're from Plano to the total number of phone calls that day

Step-by-step explanation:

Given:

The total number of phone calls that was answered by secretary in a day = 88

The number of calls that were from Plano Texas = 18

To Find :

The of the number of phone calls that we're from Plano to the total number of phone calls that day

Solution:

The ratio of phone calls that we're from Plano to the total number of phone calls that day = $\frac{\text{calls from Plano texas }}{\text{Total number of calls}}$