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3 years ago

14

What is 13.62 divided by -3.14?

1 answer:

Alex Ar [27]3 years ago

4 0

Answer:

-4.3375796178343949044585987261146‬

Step-by-step explanation:

you can probably round it off but that is what my calculator gave me.

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What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?

uranmaximum [27]

The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you

7 0

3 years ago

Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the length of the sides

<u><em>Find the distance AB</em></u>

substitute the values

$d=\sqrt{(-2+7)^{2}+(4-4)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$AB=5\ units$

<u><em>Find the distance BC</em></u>

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

<u><em>Find the distance CD</em></u>

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$CD=5\ units$

<u><em>Find the distance AD</em></u>

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

<u><em>Find the distance AC</em></u>

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

<u><em>Find the distance BD</em></u>

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0

3 years ago

Read 2 more answers

Write the fraction in simplest form 5/5

KATRIN_1 [288]

1 . that’s it. That’s the simplest form I’m guessing.

4 0

3 years ago

Read 2 more answers

For a certain population of sea urchins, 16% are longer than 8 inches. A random sample of 75 sea urchins will be selected. What

Alona [7]

Answer:

0.042

Step-by-step explanation:

Given :

p = 16% = 0.16

q = 1 - p = 1 - 0.16 = 0.84

Sample size, n = 75

The standard deviation of sampling distribution :

√(pq)/n

√(0.16 * 0.84) / 75

√0.1344 / 75

√0.001792

Standard deviation of sampling distribution = 0.0423320

4 0

2 years ago

An aquarium holds 4 gallons of water. Every fish needs 1 1/3 gallons of water. How many fish can be placed in the aquarium?

Taya2010 [7]

Answer:

3 fish

Step-by-step explanation:

4g / 4/3 fish

4/1 ÷ 4/3 = 4/1 · 3/4 = 3

8 0

2 years ago