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Nina [5.8K]
2 years ago
9

A line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?​

Mathematics
1 answer:
Travka [436]2 years ago
7 0

Answer:

Step-by-step explanation:

Equation for line of slope -6 that passes through (0,-2):

y+2 = -6(x-0)

y = -6x - 2

Plug in (g,-8) and solve for g:

-8 = -6g - 2

g = 1

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nata0808 [166]
I’m guessing 2 cups or something idk
7 0
3 years ago
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig
Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
2 years ago
Please help I'll give brainliest
Hoochie [10]
You have to multiply by how many months or boxes and your gonna have 360 and your friend 288
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The function h ( x ) = 1 x − 1 h ( x ) = 1 x - 1 can be expressed in the form f ( g ( x ) ) f ( g ( x ) ) , where g ( x ) = ( x
Radda [10]

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

4 0
3 years ago
Triangle ABC has vertices at A(-2,-3), B(6,-3), C (-1,5). Answer the following and round your answers to
nirvana33 [79]

Answer:

b.) area of triangle= 1/2 base x height

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area of the triangle= 32

I think this is correct aha

7 0
3 years ago
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