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2 years ago

Please help me asapscale factor: 0.75 A:(4,8) b:(12,16) c:(16,8)

Mathematics

1 answer:

mojhsa [17]2 years ago

5 0

The new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

<h3>How to make use of scale factor?</h3>

When we are talking about scale factor and as a result, we know that the image could either be reduced or enlarged.

Now, we want to reduce the given triangle by a scale factor of 0.75. Now, the coordinates of the given triangle are; A:(4, 8) B:(12, 16) C:(16, 8)

Thus, we will ,multiply each of the coordinates by a scale factor of 0.75 to get;

A(4, 8) * 0.75 = A'(3, 6)

B(12, 16) * 0.75 = B'(9, 12)

C(16, 8) * 0.75 = C'(12, 6)

Thus, we can conclude that the new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

Read more about Scale Factor at; brainly.com/question/10253650

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A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,

katovenus [111]

Answer:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation

$X_{1}=45$ represent the number of correct answers for university degree holders

$X_{2}=57$ represent the number of correct answers for university non-degree holders

$n_{1}=373$ sample 1 selected

$n_{2}=639$ sample 2 selected

$p_{1}=\frac{45}{373}=0.121$ represent the proportion of correct answers for university degree holders

$p_{2}=\frac{57}{639}=0.0892$ represent the proportion of correct answers for university non-degree holders

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =2*P(Z>1.620)=0.105$

7 0

3 years ago

Please help, ty if you do :D

Dennis_Churaev [7]

Answer:

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3 0

3 years ago

How do I do this please help me?

TEA [102]

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3 years ago

Whats 46\100 simplified

yarga [219]

The answer to the selceted problem 23/50

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4 years ago

Read 2 more answers

Tony is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.60. How much will it cost

Natasha_Volkova [10]

Answer:

The answer is $33.6

Step-by-step explanation:

Each small package costs him $2.80

3 small packages will cost him 3 x $2.80 = $8.4

Each large package costs him $3.60

7 large packages will cost 7 x $3.60 = $25.2

Cost to send 3 small packages and 7 large packages = $8.4 + $25.2

= $33.6

6 0

3 years ago

Please help me asapscale factor: 0.75 A:(4,8) b:(12,16) c:(16,8)​

Please help me asapscale factor: 0.75 A:(4,8) b:(12,16) c:(16,8)