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fgiga [73]
3 years ago
12

In the coordinate plane line p had slope 8 and y intercept (0,5). Line r is the result of dilating line p by a factor of 3 with

(0,3) what is the slope and y intercept of line r?
Mathematics
1 answer:
denis23 [38]3 years ago
5 0
Given that line p has a slope of 8 and y-intercept at (0,5)
Given this follows a straight line equation of the form y=ax+b where a is the slope and b is the y-intercept then the equation for p is:
y=8x+5
After dilating p with scale factor 3, then the new line will be:
P=24x+15
thus the slope=24 and y-intercept is (0,15)

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Can I get some help plz?
Anika [276]

Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

6 0
2 years ago
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Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

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

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

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
−10=2y<br><br> Hello<br><br> Help <br><br> Me
marin [14]
The answer is -5

Explanation: Divide 2 to get rid of the top number. It looks like this

-10. 2y
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2. 2


What this does is remove the two from the Y and sets it by itself. Then you divide the -10, and the answer is -5

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A preschool uses sixty four ounces in one day.
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Y+6=7/1(x-6)
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