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elena-s [515]
3 years ago
12

Which geometric figures have a measurable quantity?

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0
The geometric figures without measurable quantity:
- A line is infinite and have no measurable length.
- A point is a zero dimensional.
- A ray is semi-infinite. It has a beginning but no end.
An angle and a line segment are measurable.
Answer:
B. Angle
D. Line segment.
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1.) y=3x+1

2.) y=-x+5

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2 years ago
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A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 400 c
Soloha48 [4]

Answer:

We conclude that the vaccine appears to be​ effective.

Step-by-step explanation:

We are given that a doctor released the results of clinical trials for a vaccine to prevent a particular disease.

The subjects in group 1​ (the experimental​ group) were given the​ vaccine, while the subjects in group 2​ (the control​ group) were given a placebo. Of the 200 comma 000 children in the experimental​ group, 38 developed the disease. Of the 200 comma 000 children in the control​ group, 81 developed the disease.

Let<em> </em>p_1<em> = proportion of subjects in the experimental​ group who developed the disease.</em>

<em />p_2<em> = proportion of subjects in the control​ group who developed the disease.</em>

So, Null Hypothesis, H_0 : p_1\geq p_2       {means that the vaccine does not appears to be​ effective}

Alternate Hypothesis, H_A : p_1       {means that the vaccine appears to be​ effective}

The test statistics that would be used here <u>Two-sample z proportion</u> <u>statistics</u>;

                       T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2}  } }  ~ N(0,1)

where, \hat p_1 = sample proportion of children in the experimental​ group who developed the disease = \frac{38}{200,000} =  0.00019

\hat p_2 = sample proportion of children in the control​ group who developed the disease = \frac{81}{200,000} =  0.00041

n_1 = sample of children in the experimental​ group = 200,000

n_2 = sample of children in the control​ group = 200,000

So, <u><em>test statistics</em></u>  =  \frac{(0.00019-0.00041)-(0)}{\sqrt{\frac{0.00019(1-0.00019)}{200,000}+\frac{0.00041(1-0.00041)}{200,000}  } }

                              =  -4.02

The value of z test statistics is -4.02.

Now, at 0.01 significance level the z table gives critical values of -2.33 for left-tailed test.

Since our test statistics is less than the critical value of z as -4.02 < -2.33, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the vaccine appears to be​ effective.

3 0
2 years ago
A marketing research company records the consumer habits of a sample of 42 families from a certain community. The table below su
postnew [5]

Answer:

The mean is 28.3 or 28

I added it all and then divided it by how many different numbers there were.

3 0
2 years ago
Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A
12345 [234]

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} where (x_{1},y_{1}) and (x_{2}, y_{2}) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

x_{1}=-4

y_{1}=-13

x_{2}=-4

y_{2}=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

\sqrt{(-4--4)^2+(3--13)^2}

simplify

\sqrt{(-4+4)^2+(3+13)^2}

now add the values inside the parenthesis that are under the radical

\sqrt{(0)^2+(16)^2}

raise everything under the radical to the second power

\sqrt{0+256}

add under the radical

\sqrt{256}

now take the square root of 256

\sqrt{256}=16

so the distance between point A and point B is <u>16</u>

Hope this helps! :)

8 0
3 years ago
Write an equation that is proportional.
maksim [4K]

Answer:Learn how to write a proportional equation y=kx where k is the so-called "constant of proportionality".

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships#:~:text=Learn%20how%20to%20write%20a,called%20%22constant%20of%20proportionality%22.

5 0
3 years ago
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