Solve for y and z using the image attached below.

What are two ratios that are equivalent to 27:9

skad [1K]

For this case we have the following relationship:
27:9
To find two equivalent relationships, what we must do is divide both numbers by a number that is multiple of both.
We then have to divide by three:
9:3
Then, dividing again between three we have:
3:1
Answer:
two ratios that are equivalent to 27:9 are:
Ratio 1:
9:3
Ratio 2:
3:1

3 0

3 years ago

Read 2 more answers

Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random varia

coldgirl [10]

Answer:

The answer to each point is below

Step-by-step explanation:

We will solve point by point:

a) We have to:

Random variable X = number of heads

Let, H => heads, T => tails

b) We have that the combinations are

TTT, TTH, THT, THH, HTT, HTH, HHT, HHH

Number of Heads (X) 0 1 2 3

Probability (P) 1/8 3/8 3/8 1/8

c) attached the histogram.

d) We have the following:

Mean = E (X) = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3 * 1/8

m = 1.5

The mean is 1.5

e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3

Variance = E (X ^ 2) - (E (X)) ^ 2

Var = 3 - (1.5) ^ 2

Var = 0.75

The variance is 0.75

f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866

sd = 0.866

the standard deviation is 0.866

g) P (2 or more heads) = 3/8 + 1/8 = 0.5

The probability is 50%

h) P (two heads) = 3/8 = 0.375

It is likely that out of 8 times of 3 flips, 3 times we can observe two heads out of 3, therefore it is not unusual.

6 0

3 years ago

When x is divided by 3 the quotient is more than 7

Yuri [45]

X/3 > 7 <== ur equation
multiply both sides by 3
x > 7 * 3
x > 21 <== ur solution

5 0

4 years ago

What is the approximate distance around the half circle with radius 12 centimeters?

Katarina [22]

You can find the perimeter of a circle by using the radius.
circumference = 2 $\pi r$
Circumference = 2 $\pi x 12$
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2

24pi / 2 = 12 pi

12 pi = 37.68

The answer is B. 37.7

4 0

4 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$