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3 years ago

Read the following statements:

Mathematics

2 answers:

slavikrds [6]3 years ago

5 0

III only is the correct answer

larisa [96]3 years ago

4 0

the answer is all trapezoids have one pair of parallel sides.

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What is the mean of 110,108,98,60,and 139

ArbitrLikvidat [17]

✡ Answer: 103 ✡

- - Solve to find the mean:
Add all the number up:
110+108+98+60+139
=515
Divide by 5 since there are 5 numbers.
515/5=103


✡Hope this helps✡

6 0

3 years ago

Read 2 more answers

Write two word sentences for the equation of r/0.2=40.

VikaD [51]

Answer:

1) The quotient of r and 0.2 is equal to 40.

2) r divided by 0.2 is equal to 40.

6 0

4 years ago

A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen

Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that 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.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

$p = 0.7*0.2 + 0.9*0.8 = 0.86$

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that $n = 6$

What is the probability that the system will function tomorrow

This is

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608$

$P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952$

$P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046$

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606$

0.9606 = 96.06% probability that the system will function tomorrow

6 0

3 years ago

Area of circle with a diameter of 8ft?

Feliz [49]

Answer:

it is 50.27

Step-by-step explanation:

the formula for finding the area it

A= pi r^2

pi=3.14

so that being said you want to:

you want to divide the diameter by 2 to get 4,then you want to do 4^2 to get 16. then multiply 16 by 3.14 to get 50.265 then you want to round up to 50.27

8 0

3 years ago

What is the value of y in the solution to the system of equations?

zmey [24]

Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

6 0

3 years ago