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nata0808 [166]
3 years ago
11

What is the constant of proportionality for y=-5x ?

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=-5


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In 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alc
Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol​ has changed.

Step-by-step explanation:

We are given that in 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alcoholic​ beverages?"

Of the 1100 adults​ surveyed, 429 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 352 in

<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>

where, p = \frac{429}{1100} = 0.39

So, Null Hypothesis, H_0 : p = 39%      {means that the proportion of adults who totally abstain from alcohol​ has not changed}

Alternate Hypothesis, H_A : p \neq 39%      {means that the proportion of adults who totally abstain from alcohol​ has changed}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                    T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of adults who totally abstain from alcohol = \frac{352}{1100} = 0.32

           n = sample of adults surveyed = 1100

So, <u><em>test statistics</em></u>  =  \frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }  

                              =  -4.976

The value of z test statistics is -4.976.

<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>

<em>Since our test statistics doesn't lie within the range of  critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the proportion of adults who totally abstain from alcohol​ has changed.

4 0
3 years ago
I have no idea how to do this question
Korvikt [17]
I know this doesn't really help but... Good luck on the test!! And also I'm pretty sure they have youtube vids on how to do this stuff. Well, anyway bye!!! Good luck!!!
4 0
3 years ago
A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determi
Aleks04 [339]

Answer:

y = 0.20m + 10, 100 minutes

Step-by-step explanation:

Equation: y = mx + b

Fill it in.

m = slope = 0.20

b = y-intercept = 10

y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)

y = 0.20m + 10

Fill in.

30 = 0.20m + 10

Solve.

20 = 0.20m

100 = m

She was on the phone for 100 minutes.

3 0
2 years ago
If cos theta = -3/5 in quadrant 2, what is sin theta?
mote1985 [20]

Answer:

hello : sin(θ) = 4/25

Step-by-step explanation:

you know : cos²(θ) + sin²(θ) =1   and : cos(θ) = - 3/5

(-3/5)² + sin²(θ) =1

9/25 + sin²(θ) =1

sin²(θ) =1 -9/25

sin²(θ) = 16/25

sin(θ) = 4/25 or sin(θ) = - 4/25

in quadrant 2 :  sin(θ) > 0

so : sin(θ) = 4/25

3 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 45 centimeters. find the lengths of its sides if the longest side is 7 centimeters longer than th
dangina [55]
X = length of shortest side
Therefore the remaining sides will be x +2 and x + 7

x + x + 2 + x +7 = 45
3x + 9 = 45
3x = 36
x = 12
x + 2 = 14
x + 7 = 19

The sides are 12, 14, and 19 cm. long. Hope this helped!
3 0
2 years ago
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