A spotify premium membership is $10 per month proportional or non proportional

Marissa created a graph to show her hair growth since her last haircut.

k0ka [10]

Answer:

A 2-column table with 3 rows titled Marissa's Hair Growth. Column 1 is labeled Months with entries 4, 6, 8. Column 2 is labeled Growth (inches) with entries 3, 4.5, 6.

Step-by-step explanation:

One of the given points on the graph is (4, 3), which corresponds to a table entry of Months = 4, Growth = 3.

Two tables have entries like that.

__

The points on the graph have a difference of 2 months, and a corresponding difference in growth of 1.5 inches. Only one of the two tables has entries like that. See below.

6 0

3 years ago

Read 3 more answers

the profit p in dollars from selling x calculators is p=25x-(10x+250) how many calculators are sold when the profit is $425

podryga [215]

425=25x-10x-250
675=15x
x=45
45 calculators were sold.

4 0

3 years ago

A dairy company can make 1200 units of product each week. To meet the needs of its regular customers,

eimsori [14]

Answer:

300 cheese and 900 yogurt

Explanation:

1. Name the variables:

C = number of units of cheese
Y = number of units of yogurt

2. State the constraints (inequalities)

a) Company can make 1,200 units of product each week:

C + Y ≤ 1,200

b) Company must produce at least 300 units of cheese,

C ≥ 300

c) Company must produce at least 450 units of yogurt.

Y ≥ 450

3. Build the graph

a) C + Y ≤ 1,200

i) Draw the line C + Y = 1,200

Use the y-intercept (0, 1200) and the x-intercept (1200,0)
Use a solid line because thepoints on the line are part of the solution

ii) Shade the region below the line (again the line is inclueded)

b) C ≥ 300

i) Draw a solid vertical line that passes through (300,0)

ii) Shade the region to the right of the line (the line is included)

c) Y ≥ 450

i) Draw a solid horizontal line that passes through (450, 0)

ii) Shade the region above the line (the line is included)

The solution region is delimited by those three lines and it is shown on the graph attached.

4. Determine the vertices of the triangle that forms the solution region

a) Intersection of the lines C + Y = 1,200 and C = 300

Y = 1,200 - 300 = 900
Point (300, 900)

b) Intersection of the lines C + Y = 1200 and Y = 450

C = 1,200 - 450 = 750
Point (750, 450)

c) Intersection fo the lines C = 300 and Y = 450

Point (350, 450)

5. Determine the profits with the three vertices

The profit equation is P = $60C + $90Y

a) Point (300, 900)

P = $60(300) + $90(900) = $99,000

b) Point (750, 450)

P = $60(750) + $90(450) = $85,500

c) Point (300, 450)

P = $60(300) + $90(450) = $58,500

<h2>Conclusion: </h2>

The maximum profit is when the company produces 300 units of cheese and 900 units of yogurt.

3 0

3 years ago

Whose class would you rather be in, if each teacher has different grading schemes?

Darina [25.2K]

Answer:

Mr. Winking 87.9%

Ms. Sand 88.55%

Ms. Sand's class is better

Step-by-step explanation:

Step 1: Average in Mr. Winking's Class 87.9%

Convert each weight factor to a decimal.

Homework 10% = 0.1

Quiz 25% = 0.25

Test 45% = 0.45

Exam 20% = 0.2

Multiply your grades by the weight factors:

Homework 0.1 X 95% = 9.5%

Quiz 0.25 X 85% = 21.25%

Test 0.45 X 87% = 39.15%

Exam 0.2 X 90% = 18%

Add all of these values:

9.5% + 21.25% + 39.15% + 18%

= 87.9%

Step 2: Average in Ms. Sand’s Class 88.55%

Convert each weight factor to a decimal.

Homework 15% = 0.15

Quiz 20% = 0.2

Test 40% = 0.4

Exam 25% = 0.25

Multiply the weight factors by your grades:

Homework 0.15 X 95% = 14.25

Quiz 0.2 X 85% = 17

Test 0.4 X 87% = 34.8

Exam 0.25 X 90% = 22.5

All all these values:

14.25 + 17 + 34.8 + 22.5

= 88.55%

Step 3:

I would rather be in Ms. Sand's class. My average in her class would be 88.55%, whereas in Mr.Winking's Class, my average would be 87.9%. 88.55% is a higher mark than 87.9% and I want higher marks. Therefore, I would get higher marks in Ms. Sand's class.

6 0

4 years ago

A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent

siniylev [52]

Answer:

(a) P (p' > 0.25) = 0.

(b) P (0.15 < p' < 0.20) = 0.7784.

(c) P (133 < X < 171) = 0.2205

Step-by-step explanation:

Let p = proportion of business trip that were for internal company visit.

It is provided that 19% responded that it was for an internal company visit, i.e.

p = 0.19.

A sample of n = 950 business travelers are randomly selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Thus, the distribution of $\hat p$ is N (μ = 0.19, σ = 0.013).

(a)

Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (p' > 0.25) = P (Z > 4.62) = 0

*Use a z-table for the probability.

Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.

(b)

Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)

= P (Z < 0.77) - P (Z < -3.08)

= 0.7794 - 0.0010

= 0.7784

*Use a z-table for the probability.

Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.

(c)

Compute the proportion of X = 133 and X = 171 as follows:

p' = 133/950 = 0.14

p' = 171/950 = 0.18

Compute the value of P (0.14 < p' < 0.20) as follows:

P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)

= P (Z < -0.77) - P (Z < -3.85)

= 0.2206- 0.0001

= 0.2205

*Use a z-table for the probability.

Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.

7 0

3 years ago