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3 years ago

Which geometric figures have a measurable quantity?

1 answer:

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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enot [183]

1.) y=3x+1

2.) y=-x+5

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2 years ago

Read 2 more answers

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 $p_1$ = proportion of subjects in the experimental group who developed the disease.

$p_2$ = proportion of subjects in the control group who developed the disease.

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 Two-sample z proportion statistics;

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, test statistics = $\frac{(0.00019-0.00041)-(0)}{\sqrt{\frac{0.00019(1-0.00019)}{200,000}+\frac{0.00041(1-0.00041)}{200,000} } }$

= -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 we reject our null hypothesis.

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 16

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