All categories

3 years ago

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>

You might be interested in

-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

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B80%7D%20" id="TexFormula1" title=" \sqrt[3]{80} " alt=" \sqrt[3]{80} " ali

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.

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

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