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never [62]
2 years ago
11

Suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students

from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.
Let ^p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.

What are the mean and standard deviation of the sampling distribution of ^p?
Mathematics
1 answer:
Viktor [21]2 years ago
4 0

Answer:

m^p = 0.35

o^p = \sqrt\frac{0.35(1-0.35}{30}

Step-by-step explanation:

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If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Sergio [31]

Answer:

\overline {R'S'}  = 3 {\overline {RS} }

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, {\overline {S'Q'} } = 3 × The length of the segment, {\overline {SQ} }

Similarly;

The length of the segment, {\overline {R'Q'} } = 3 × The length of the segment, {\overline {RQ} }

By Pythagoras theorem, we have;

{\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2

Therefore;

{\overline {R'S'} }^2  = {\overline {R'Q'} }^2  - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2  - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} }  ^2  -  {\overline {SQ} } ^2 \right) = 9 \times  {\overline {RS} }^2

\therefore \sqrt{  {\overline {R'S'} }^2} =  \sqrt{ 9 \times  {\overline {RS} }^2}= 3 \times  {\overline {RS} }

\overline {R'S'}  = 3 \times  {\overline {RS} }.

6 0
3 years ago
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1 4 14 that height. Which of these statements
MAXImum [283]
Hi there!
The correct answer (the statement that is not true): The volume of the smaller cone cannot be determined because it’s height is unknown.
Hope this helps and have a good day :) !
~Angel
4 0
3 years ago
Consider the following pair of equations:
Mariana [72]
Hellooo..
my answer is (-4,2)

8 0
3 years ago
A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de
tiny-mole [99]

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, \hat{p}= 0.6

Therefore \hat{q}  = 1 - \hat{p} = 1 - 0.6  = 0.4

The sample size  = 12

Therefore the standard deviation of the sample,

s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} }  = \sqrt{\frac{0.6 \times 0.4}{12} }  = 0.1414

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

The answer is c.) 0.6 and 0.14

6 0
3 years ago
What’s the expression of this in simplest form
Ad libitum [116K]

Answer:

3/17

Step-by-step explanation:

3/4 divided by 4  1/4 is = to 3/4 divided by 17/4= 3/4 times 4/17 = 3/17

4 0
3 years ago
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