MATHEMATICS COLLEGE

Which one is it ???

A
B
C
D

Answers

Answer 1

Answer:

Answer:

C is correct

Step-by-step explanation:

Answer 2

Answer:

Answer:

Step-by-step explanation:

Angle L is an obtuse angle, as all angles in an equilateral pentagon are obtuse.

Also, all other statements are false:

A) The two lines are not parallel, as they would eventually intersect

B) This angle is not acute, as it is more than 90 degrees

D) These lines are not perp., as they do not form right angles at their intersection

So your answer is C! Hope it helps!

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WUse the distributive property to create true equations.
4(2 + 6) = blank
+ blank
35 - 21 =blank
(
5-3)
Due soon help!!!

Answers

1. 8+24
2. can’t quite understand the format ?

According to the graph, what is the value of the constant in the equationbelow?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75

Answers

The value of the constant in the equation below is 100. So, the correct option is (C).

What is Height?

Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.

Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.

Height equation: H= C/W

where, H is the height, C is the constant and W is the width.

We choose a point given in the graphic, I will choose (4,25), which means that when W=4 and H=25 . We use this to find the constant. So

25=C/3

C= 100

Thus, the value of the constant in the equation below is 100. So, the correct option is (C).

Learn more about Constant, here:

brainly.com/question/9994821

#SPJ5

Answer:The Answer is C

Step-by-step explanation:

You spend $28$28 on ingredients to make cookies. You charge $4$4 per container of cookies. How many containers do you need to sell to earn $20 in profit?

Answers

Let, the number of Containers = x

Then, Equation would be: 4x - 28 = 20

4x = 20 + 28

x = 48/4

x = 12

In short, Your Answer would be: 20 Containers

Hope this helps!

4x7=28 you need 7 just to break even then
4x5=20 you need 5 to make $20
7+5=12 You need 12 to make $20

The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?

Answers

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

$\mu$ = 79

Standard deviation,

$\sigma$ = 3.5

Now,

⇒ $\sigma\bar x = (\sigma)/(\sqrt n)$

$= (3.5)/(\sqrt 16)$

$=0.875$

⇒ $P(\bar x > 81) = 1 - P(\bar x < 81)$

So,

= $1 - P{((\bar x - \mu \bar x ))/( \sigma \bar x) < ((81 - 79) )/(0.875) ]$

= $1 - P(z < 2.2857)$

= $0.0111$

A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If three marblesare drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be red?

Answers

Answer: 0.036

Work Shown:

6 red, 6+3+7 = 16 total

A = 6/16 = probability of getting red the first time

after you pick 1 red, there's 6-1 = 5 left out of 16-1 = 15 total

B = 5/15 = probability of getting red the second time

then you repeat: 5-1 = 4 red left out of 15-1 = 14 total

C = 4/14 = probability of getting red the third time

B and C are dependent on A, C is dependent on B. This is assuming we do not put any marbles back.

Multiply out the fractions found

A*B*C = (6/16)*(5/15)*(4/14) = 0.0357 which rounds to 0.036 when rounding to the nearest thousandth.

"The municipal transportation authority determined that 58% of all drivers were speeding along a busy street. In an attempt to reduce this percentage, the city put up electronic speed monitors so that drivers would be warned if they were driving over the speed limit. A follow-up study is now planned to see if the speed monitors were effective. The null and alternative hypotheses of the test are H0 : π = 0.58 versus Ha : π < 0.58. It is planned to use a sample of 150 drivers taken at random times of the week and the test will be conducted at the 5% significance level. (a) What is the most number of drivers in the sample that can be speeding and still have them conclude that the alternative hypothesis is true? (b) Suppose the true value of π is 0.52. What is the power of the test? (c) How could the researchers modify the test in order to increase its power without increasing the probability of a Type I Error?"

Answers

Answer:

a) X=77 drivers

b) Power of the test = 0.404

c) Increasing the sample size.

Step-by-step explanation:

This is a hypothesis test of proportions. As the claim is that the speed monitors were effective in reducing the speeding, this is a left-tail test.

For a left-tail test at a 5% significance level, we have a critical value of z that is zc=-1.645. This value is the limit of the rejection region. That means that if the test statistic z is smaller than zc=-1.645, the null hypothesis is rejected.

The proportion that would have a test statistic equal to this critical value can be expressed as:

$p_c=\pi+z_c\cdot\sigma_p$

The standard error of the proportion is:

$\sigma_p=\sqrt{(\pi(1-\pi))/(n)}=\sqrt{(0.58*0.42)/(150)}\n\n\n \sigma_p=√(0.001624)=0.04$

Then, the proportion is:

$p_c=\pi+z_c\cdot\sigma_p=0.58-1.645*0.04=0.58-0.0658=0.5142$

This proportion, with a sample size of n=150, correspond to

$x=n\cdot p=150\cdot0.5142=77.13\approx 77$

The power of the test is the probability of correctly rejecting the null hypothesis.

The true proportion is 0.52, but we don't know at the time of the test, so the critical value to make a decision about rejecting the null hypothesis is still zc=-1.645 corresponding to a critical proportion of 0.51.

Then, we can say that the probability of rejecting the null hypothesis is still the probability of getting a sample of size n=150 with a proportion of 0.51 or smaller, but within a population with a proportion of 0.52.

The standard error has to be re-calculated for the new true proportion:

$\sigma_p=\sqrt{(\pi(1-\pi))/(n)}=\sqrt{(0.52*0.48)/(150)}\n\n\n \sigma_p=√(0.001664)=0.041$

Then, we calculate the z-value for this proportion with the true proportion:

$z=(p-\pi')/(\sigma_p)=(0.51-0.52)/(0.041)=(-0.01)/(0.041)=-0.244$

The probability of getting a sample of size n=150 with a proportion of 0.51 or lower is:

$P(p<0.51)=P(z<-0.244)=0.404$

Then, the power of the test is β=0.404.

The only variable left to change in the test in order to increase the power of the test is the sample size, as the significance level can not be changed (it is related to the probability of a Type I error).

It the sample size is increased, the standard error of the proprotion decreases. As the standard error tends to zero, the critical proportion tend to 0.58, as we can see in its equation:

$\lim_(\sigma_p \to 0) p_c=\pi+ \lim_(\sigma_p \to 0)(z_c\cdot\sigma_p)=\pi=0.58$