All categories

3 years ago

What is the range of the function? (5,9) (1,0) (4,-7) (6,-1)

1 answer:

5 0

The range of the function is {-7, -1, 0, 9}.

These are all of the y values in the ordered pairs, which is the definition of what range is.

You might be interested in

Celine's book club read 42 books over 14 months. How many total months will it take them to read 57 books? Solve using unit rate

miskamm [114]

Answer:

Step-by-step explanation:

42/14 = 57/x

42x = 57*14

42x = 798

x = 19 months

4 0

3 years ago

The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The mon

kkurt [141]

The monthly cost will be $17.14

Step-by-step explanation:

Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;

Time in minutes (x) Cost in dollars (y)

50 $12.55

102 $ 17.23

Take the values as ordered pairs to represent coordinates for points that satisfy the linear function

(50,12.55) and (102,17.23)

Finding the slope of the graph using these points

slope,m=Δy/Δx

m=Δy=17.23-12.55 =4.68

Δx=102-50=52

m=4.68/52 =0.09

Finding the equation of the linear function using m=0.09, and point (50,12.55)

m=Δy/Δx

0.09=y-12.55/x-50

0.09(x-50)=y-12.55

0.09x-4.5=y-12.55

0.09x-4.5+12.55=y

y=0.09x+8.05

So for 101 minutes , the cost will be;

y=0.09*101 +8.05

y=9.09+8.05 = $17.14

Learn More

Linear functions : brainly.com/question/11052356

Keyword : linear function

#LearnwithBrainly

5 0

3 years ago

Corey, Laura, Paige and Jacob, all turkeys, are wandering through the beautiful forest. They spot seven bees and five cockroache

loris [4]

Answer:

I think it would be A

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago

Find the quotient of 68.0052 and 12. Round your answer to the nearest hundredth

Vlad1618 [11]

68.01
A quotient is the answer to two numbers being divided.
Meaning 68.0052÷12 is 68.01

8 0

3 years ago