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sergey [27]
3 years ago
13

Write the point slope equation of the line through (7,-2) with slope of 1/2.

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

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A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to tes
8090 [49]

Answer:

The claim is false.

Step-by-step explanation:

Given the data :

13 24 21 37 15 25 18 22 40 32

The sample mean and standard deviation can ben calculated for the given sample.

Using calculator :

Sample mean, xbar = 24.7

Sample standard deviation, s = 9.04

Sample size, n = 10

The hypothesis :

H0 : μ = 17

H1 : μ ≠ 17

The test statistic :

(xbar - μ) ÷ (s/√(n))

(24.7 - 17) ÷ (9.04/√(10))

7.7 / 2.8586990

Test statistic = 2.694

We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9

Pvalue = 0.0246

Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure

5 0
3 years ago
Can anyone help me with my homework
aleksley [76]

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

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17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

7 0
2 years ago
The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based o
Ivahew [28]

Answer: choice B

Step-by-step explanation:

6 0
2 years ago
Why is a the y-intercept of the graph of the function y=ab^x
8090 [49]
The y-intercept occurs on a graph when x = 0. Therefore on a graph of y= ab^x when x = 0, y = ab^0 = 1. Therefore the y-intercept is at the point (0,1).
Hope this helps! 
3 0
3 years ago
18 is 75 percent of what number
dimulka [17.4K]
18 is 75% of x.

75\%= \frac{75}{100}=\frac{3 \times 25}{4 \times 25}=\frac{3}{4} \\ \\&#10;\frac{3}{4}x=18 \\&#10;x=18 \times \frac{4}{3} \\&#10;x=6 \times 4\\&#10;x=24&#10;

18 is 75% of 24.
8 0
3 years ago
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