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3 years ago

26 centimeters per second is equal to how many meters per minute

1 answer:

4 0

60 seconds are in a minute so multiply 60 by 26,(60x26) and you will get the answer which is:1,560 cm (centimeters) per minute.

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Which of the following sets of numbers could represent the three sides of a triangle?

san4es73 [151]

Answer:

To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle.

⚪ The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees

<em><u>The answer is none</u></em>

8 0

2 years ago

9. A large electronic office product contains 2000 electronic components. Assume that the probability that each component operat

Marysya12 [62]

Answer:

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 2000, p = 1-0.995 = 0.005$

Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.

We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So

$P(X < 5) + P(X \geq 5) = 1$

We want $P(X \geq 5)$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2000,0}.(0.005)^{0}.(0.995)^{2000} = 0.000044$

$P(X = 1) = C_{2000,1}.(0.005)^{1}.(0.995)^{1999} = 0.000445$

$P(X = 2) = C_{2000,2}.(0.005)^{2}.(0.995)^{1998} = 0.002235$

$P(X = 3) = C_{2000,3}.(0.005)^{3}.(0.995)^{1997} = 0.007480$

$P(X = 4) = C_{2000,4}.(0.005)^{4}.(0.995)^{1996} = 0.018765$

$P(X < 5) = P(X = 0) + `P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000044 + 0.000445 + 0.002235 + 0.007480 + 0.018765 = 0.0290$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.0290 = 0.9710$

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

4 0

3 years ago

Solve. -3/5x + 1/5 > 7/20

nignag [31]

-3/5x + 1/5 > 7/20

-3x + 1/5 > 7/20 join the denominators

-3x + 1 > 7/20 * 5 multiply both sides by 5

-3x + 1 > 35/20

-3x + 1 > 7/4

-3x > 7/4 - 1

-3x > 3/4

x < -3/4 ÷ 3

x < -1/4

hope that helps, God bless!

5 0

3 years ago

How to solve this problem

erma4kov [3.2K]

You're going to use cross multiplication.
1 gal x 21 miles = 25miles x x
21 miles = 25x
Divide each side by 25 to get x alone
21/25 = 0.84, which is your x value.

8 0

3 years ago

An old home has a very steep roof. For every four feet of run, it has three feet of rise. What is the pitch or slope of the roof

RUDIKE [14]

Hey there!

$\large\boxed{\frac{3}{4} \:\:or\:\: 0.75}$

The formula for slope is rise over run.

If the rise is 3 feet and the run is 4 feet, then the slope, or the pitch, is 3/4.

This can be written in decimal form as 0.75.

Hope this helps!

5 0

3 years ago