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iren [92.7K]
3 years ago
6

PLEASE HELP ME!!!!!!!!

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Linear Pair = Supplementary angles = angles equal 180

180=(3n+15)+(2n+40)

Condense

180= 5n+55

Subtract

125=5n

Divide

n=25

Plug back in

3(25)+15 =90

2(25)+40=90

Both answers are 90 degrees.

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Hayden wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores. S
Ber [7]

Answer:

No.  The data in this study were not based on a random method.  This is a key requirement for an inference to be made from the two-sample t-test.

Step-by-step explanation:

1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance.  There are three conditions to be met when using the two-sample t-test.

2. The first condition is that the sampling method must be random.  This requirement was not met in this study.  Each customer from each store should have an equal chance of being selected for the study.  This was not achieved.

3. The distributions of the sample data are approximately normal.  This is achieved with a large sample size of 30 customers selected for each study.

4. The last but not the least condition is the independence of the sample data.  Sample data here is independent for both samples.

5 0
3 years ago
Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?
Lelu [443]

Answer:

6 days

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
WILL MARK BRAINIEST, QUESTION IS HARD, Ann works for a city’s parks and recreation department. She is looking for some commercia
MrRa [10]

Answer:

x =320

Step-by-step explanation:

Given

x^2 + 200x = 166400

Required

Find x

We have:

x^2 + 200x = 166400

Rewrite as:

x^2 + 200x - 166400 = 0

Expand

x^2 + 520x - 320x - 166400 = 0

Factorize

x(x + 520) - 320(x + 520)= 0

Factor out x + 520

(x - 320) (x + 520)= 0

Split

x - 320 = 0\ or\ x + 520= 0

Solve

x = 320\ or\ x =- 520

Side length must be positive;

So:

x = 320

4 0
3 years ago
Kind of confused on this question, please help
Wittaler [7]

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{3}{5} x - 6 ← is in slope- intercept form

with slope m = \frac{3}{5}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{5} } = - \frac{5}{3}

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - \frac{5}{3} and (a, b ) = (- 2, 5 ) , then

y - 5 = - \frac{5}{3} (x - (- 2) ) , that is

y - 5 = - \frac{5}{3} (x + 2)

8 0
2 years ago
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