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3 years ago

Write an equation of a line that passes through the point (-2, 4) and has a slope of 5.

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

y = 5x + 14

Step-by-step explanation:

An equation consists of y = mx + b. The m is the slope, which we already know is 5.

To find the y-intercept, plug the coordinates into the equation so far, which is y = 5x + b.

y = 5x + b

4 = 5(-2) + b

4 = -10 + b

14 = b

So the equations is y = 5x + 14.

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In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 29 people and she concluded 5 people had blue

devlian [24]

Answer:

Step-by-step explanation:

In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 29 people and she concluded 5 people had blue eyes. Calculate the z-score

Given that :

Sample size (n) = 29

Number of people with blue eyes (x) = 5

Proportion (p) = 10% = 0.1

Using the relation :

Z = (p" - p) / sqrt(pq/n)

Recall : q = 1 - p = 1 - 0.1 = 0.9

p" = x / n = 5 / 29 = 0.1724137

pq = 0.1 * 0.9 = 0.09

Hence,

Z = (0.1724137 - 0.1) / sqrt(0.09/29)

Z = 0.0724137 / 0.0557086

Z = 1.2998657

6 0

3 years ago

What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14

zhenek [66]

1. x-2(2x-3.5)=-14
x-4x+7=-14
-3x=-21
x=7
2. y=2(7)-3.5
y=14-3.5
y=10.5
hope this helps!

4 0

3 years ago

21x+7y=42 and -5x+5y=10 Find the solution to the system of equations

stiv31 [10]

Answer:

Step-by-step explanation:

x=1 y=3

5 0

3 years ago

How many pounds of sugar are in a 15 kg bag of sugar?

lutik1710 [3]

Answer:

30 lb/pounds

Step-by-step explanation:

used an online conversion

5 0

2 years ago

Read 2 more answers

María is making fruto punch for her family reunión. She uses 6 quarts of ginger ale, 8 quarts of lemonade, and 10 quarts of rasp

expeople1 [14]

Answer:

6 gallons of punch makes her recipe.

Step-by-step explanation:

Given:

Quarts of ginger ale (g) = 6

Quarts of lemonade (l) = 8

Quarts of raspberry (r) = 10

Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.

So, Total volume = $g+l+r$

Total volume = 6 + 8 + 10 = 24 quarts

Now, we know that,

1 quart = 0.25 gallons

Therefore, from unitary method,

24 quarts = 24 × 0.25 = 6 gallons of punch

Therefore, 6 gallons of punch makes her recipe.

3 0

3 years ago

Read 2 more answers