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Marrrta [24]
3 years ago
8

The ratio of students to teachers is 2:3 respectively.If there are 21 teachers, how many students are there?

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:14


Step-by-step explanation:

2:3

14:21

in 14 their is 2 7's

in 21 their is 4 7's


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Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
2 years ago
H+6.9+11.4 <br> a<br> 4.0<br> b<br> 4.5<br> c<br> 5.0<br> d<br> 5.5
antiseptic1488 [7]

Could you please express this question better, I don't seem to understand the objective.

4 0
2 years ago
-1/2y=1/2x+5 and y=2x+2
Anettt [7]

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y.  Please tell me if it's really -1/(2y).

(-1/2)y=(1/2)x+5

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check:  (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

6 0
3 years ago
Find the surface area of the square pyramid. A) 104 cm2 B) 160 cm2 C) 224 cm2 D) 448 cm2
jeyben [28]
Answer:
B
Step-by-step explanation:

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1 year ago
Find the area of the following figure:
Alinara [238K]

Answer:

9 square inches is your answer. √9=3

6 0
2 years ago
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