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2 years ago

If a car travels three miles in four minutes, find its speed in miles per hour

Mathematics

1 answer:

Butoxors [25]2 years ago

4 0

1st divide 4 by 60 to get 15 then 15 x 3 = 45

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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

7 0

3 years ago

Three consecutive even numbers add up to a number between 100 and 120 what might the number be?

Rzqust [24]

The number can be 102, 108, or 114. They can all be formed that way.

32 + 34 + 36 = 102
34 + 36 + 38 = 108
36 + 38 + 40 = 114

The next one is 120 . . . . . 38 + 40 + 42

7 0

2 years ago

What is the solution to the inequality 2x<20

Keith_Richards [23]

The given expression is

$2x$

We just have to divide by 2

$\begin{gathered} \frac{2x}{2}$ <h2>Hence, the solution is all real numbers less than 10.</h2>

8 0

10 months ago

Which expressions are equivalent to 7 (negative three-fourths x minus 3)? Select two options.

polet [3.4K]

The equivalent expressions are:

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Solution:

Given expression is:

$7(-\frac{3}{4}x - 3)$

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Thus equivalent expressions are found

7 0

3 years ago

Read 2 more answers

Which algebraic expression could NOT represent the phrase below?

skad [1K]

Answer:

Step-by-step explanation:

because 4 and 3 are grouped together you would add them first. this would change the outcome of the problem.

6 0

3 years ago

Read 2 more answers