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Yuliya22 [10]
3 years ago
10

Write an equation in slope intercept form of the line containing the points (-2,5) and (9,-6)

Mathematics
1 answer:
otez555 [7]3 years ago
4 0
(-2,5)(9,-6)
slope(m) = (-6-5) / (9 - (-2) = -11/11 = -1

y = mx + b
slope(m) = -1
(-2,5)...x = -2 and y = 5
now we sub and solve for b, the y int
5 = -1(-2) + b
5 = 2 + b
5 - 2 = b
3 = b

so ur equation in slope intercept form is : y = -x + 3
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Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
2 years ago
Evaluate the expression when e=1/3 and f=1/6. 4(1/9+e^2)+3f
Valentin [98]

Answer:

the answer of the question is 4e^2 + 17/18

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2 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
2 years ago
Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term
Kaylis [27]

Answer:

  • 8

Step-by-step explanation:

<h3>Given GP</h3>
  • a₂ = 4,
  • a₆ = 16
<h3>To find</h3>
  • a₄ = ?
<h3>Solution</h3>
  • a₂ = ar = 4
  • a₆= ar⁵ = 16

<u>Substitute ar in the second equation</u>

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

<u>Then finding a₄</u>

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8
7 0
2 years ago
The United States Census collects data on many variables about individuals and households.
Mrrafil [7]

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

6 0
3 years ago
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