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3 years ago

Find the midpoint of diagonal AC of ABCD

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

Answer:

M= (1, 3)

Step-by-step explanation:

we have from the picture:

A = (-3,5)

C = (5, 1)

M = Midpoint

M =((x1+x2)/2), ((y1+y2)/2)

so we have:

x1= -3 y1 = 5

x2= 5 y2= 1

M= ((-3+5)/2) , ((5+1)/2)

M = ((2/2) , (6/2))

M= (1, 3)

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the

Anni [7]

Answer:

$8.68,13.16$

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

$\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92$

Standard deviation of the sample is,

$\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6$

The confidence interval will be,

$=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}$

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

$=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}$

$=10.92 \pm 2.24$

$=8.68,13.16$

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0

3 years ago

Find the difference 9x2-24x2

vovikov84 [41]

So, I'm assuming that the x represents multiplication...
Because multiplication has a higher precedence over addition, we'll multiply the numbers first:
18 + 48
Then we simply add:
66

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3 years ago

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Solve the equation. Check your solution.<br> 3x+4x-8=6<br> x= <br> (Simplify your answer.)

KengaRu [80]

Answer:

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

+8 +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

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3 years ago

How do you find the length of each leg of an isosceles right triangle whose hypotenuse is 4 cm?

allsm [11]

The length of hypotenuse of an isosceles right triangle with two equal legs each 4 cm is given by Pythagorean theorem as follows.

√42+42.

=√32.

=4√2.

4√2 cm.

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3 years ago

What is the distance between (12, -7) and (-3, -7)?

gladu [14]

Answer:15 units

Step-by-step explanation:

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3 years ago

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