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Inga [223]
3 years ago
14

Question 2

Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

M = (9,3)

Step-by-step explanation:

Given

(x_1,y_1) = (4,8)

(x_2,y_2) = (14,-2)

Required

Find the midpoint (M)

The midpoint is calculated as follows:

M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))

Substitute values for x's and y's

M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))

M = (\frac{1}{2}(18),\frac{1}{2}(6))

M = (\frac{1}{2}*18,\frac{1}{2}*6)

M = (9,3)

<em>Hence, the midpoint is (9,3)</em>

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-2(p - 1) = 15 anserwwwww plssssss
adelina 88 [10]

Answer:

-6.5

Step-by-step explanation:

-2(p - 1) = 15

-2p + 2 = 15

-2p = 13

p = -6.5

6 0
3 years ago
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Marianna [84]

Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}

then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

7 0
1 year ago
Solve the world problem. the formula d = rt gives the distance traveled in time t at rate r. if a bicyclist rides for 2.3 hours
Marta_Voda [28]
Hello!

The answer to your question is D. 17.83 because 41 divided by 2.3 is equal to the answer and you are trying to solve for r.
4 0
3 years ago
It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi
Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \mu = 35000, \sigma = 7000

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 35000}{7000}

X - 35000 = -1.88*7000

X = 21840

The designed life should be of 21,840 vehicle miles.

3 0
3 years ago
Marvin Martian, Aly Alien, and Hank Human are all looking for a hidden spaceship. Their probabilities of
never [62]

Answer: Aly , Marvin, Hank

Step-by-step explanation:

Aly has the lowest with 20, Marvin has 30, and hank has 50. it says least to mostly likely to win

7 0
3 years ago
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