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3 years ago

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12

Mathematics

1 answer:

Dima020 [189]3 years ago

4 0

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

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A college entrance exam company determined that a score of 2222 on the mathematics portion of the exam suggests that a student i

kolbaska11 [484]

Answer:

Yes, Students are scoring above 2222 on the math portion of the exam.

Step-by-step explanation:

We are given that a college entrance exam company determined that a score of 2222 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics i.e., population mean is 22.

Null Hypothesis, $H_0$ : $\mu$ = 22 {Students are scoring equal to 2222 on the math portion of the exam}

Alternate Hypothesis, $H_0$ : $\mu$ > 22 {Students are scoring above 2222 on the math portion of the exam}

Also, a random sample of 150 students who completed this core set of courses results in a mean math score of 22.7 on the college entrance exam with a standard deviation of 3.93 i.e.;

Sample mean, $Xbar$ = 22.7 and Sample standard deviation, s = 3.93

The Test statistics is given by;

Z = $\frac{Xbar -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

Test Statistics = $\frac{22.7 -22}{\frac{3.93}{\sqrt{150} } }$ ~ $t_1_4_9$

= 2.1815

Since, we are not given with the significance level, so we assume it to be 5%. At 5% significance level t table gives critical value of 1.6578 at 149 degree of freedom. Since our test statistics is more than the critical value so we reject null hypothesis as our test statistics fall in the rejection region.

Therefore, we conclude that Students are scoring above 2222 on the math portion of the exam.

7 0

4 years ago

A survey question that requires a yes or no answer is called aA) qualifierB) multiple-choice questionC) 50-50 questionD) dichoto

scZoUnD [109]

Answer:

Dichotomous question

Step-by-step explanation:

Dichotomous question is a type of question that required answer in yes or no, sometimes in true or false and may be right or wrong.

They generally used for clear clarification of the questions asked. they have been asked to get the clear percentage of the qualities.

let take an example of Dichotomous question.

1) have you ever been into particular restaurant.

2) height of this boy is more than 5 feet or not

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3 years ago

Osiah downloads 44 songs, including 16 songs by his favorite band.

drek231 [11]

Answer:

0.36

Step-by-step explanation:

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4 years ago

Which expression is equal to 9 x 657

valina [46]

Answer:

vamo a hablar ingles dhdhhdhdhdbeixhddh

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3 years ago

The distance between two towns is 75 km. The distance between the two towns on a map is 1.5 cm. What is the scale on the map?

pychu [463]

Divide actual distance by the distance on the map:

75 km / 1.5 cm = 50

The scale would be 1 cm = 50 km

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4 years ago