MATHEMATICS COLLEGE

Find the value of X.

Answers

Answer 1

Answer:

Answer:

x = 6

Step-by-step explanation:

Answer 2

Answer:

Answer:

x=6

Step-by-step explanation:

32+4 is 36

90-36 is 54

9 times 6 is 54

54+4 is 58

58+32 is 90

pls mark me brainliest :)

Related Questions

One of the factors of quadratic is (x+5) the only other piece of information is that the middle term is zero what must the other factor be
Melinda goes bowling on saturday afternoons.She bowls three games and pays for shoe rental.Define a variable and write an expression to represent the total cost Melinda pays.Then find the total cost if one Game cost
To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. How do their two mixtures compare in taste?
Which of the following inequalities matches the graph? 100 point
Sin2x/1+cos2x=tanx How do I prove this with the double angle law

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial.(a) What is the probability that all four computers fail on one day?(b) What is the probability that at least one computer fails on a day?(c) What is the mean number of days until a specific computer fails?

Answers

Answer:

A) 0 , B) 0.0199 , C) 200

Step-by-step explanation:

Let X denotes no. of computers fail on day

X ~ Bin (n = 4 , p = 0.05)

A] P (X = x) = (n c x) p^x q^n-x

P (X = 4) = (4 c 4) (0.005)^4 (0.995)^0

(0.05)^4 ~ 0

B] P (X > 1) = 1 - P (X < 1) = 1 - P (X = 0)

1 - { ( 4 c 0) (0.005)^0 (0.995)^ 4 }

1 - (0.995)^ 4 ~ 0.0199

C] Let Y depict mean number of days until a specific computer fails

Y ~ Geom (p = 0.005)

Mean = E (Y) = 1/p = 1/0.05 = 200

In the diagram, how many pairs of vertical angles are shown?

Answers

Answer:

4 Pairs.

Explanation:

A vertical angle is a set of two opposite angles, they show up when two lines intersect. Their sum is also 180°.

Answer:

4 Pairs

Step-by-step explanation:

Solve for x 4 - (x + 2) < -3(x + 4)

Answers

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x +3x

2 + 2x < -12

-2 -2

2x < -14

/2 /2

x<-7

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.

A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that

Answers

160 animals are sick

"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:

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

Then, if the critical proportion increases, the z-score increases, and also the probability of rejecting the null hypothesis.

Savanna is playing a game with her friends. She tells them to each pick a number, and then she directs them to: 1. Multiply their number by 4 2. Subtract 6 from that number 3. Divide that number by 2. Once they do that, they each tell Savanna their number a. Arturo says his "new" number is -15. What number did Arturo start with?

Answers

Answer:

x = - 6

Step-by-step explanation:

Let x b number, according to instructions´ we must

1.-Multiply by 4

2.-Subtract 6

3.-Divide by 2

4.-Arturo says his new number - 15

4,.Which one was the original number ??

The maths expression for that is :

(4*x - 6 ) / 2 = - 15

we solve for x

4x - 6 = - 30

4x = - 24

x = - 6

Final answer:

To find Arturo's starting number, reverse the given steps: divide by 2, add 6, then multiply by 4.

Explanation:

To find Arturo's starting number, we need to reverse the steps Savanna provided. Let's go through the steps backwards:

Arturo's number after dividing by 2 is -15 * 2 = -30.
Arturo's number after adding 6 is -30 + 6 = -24.
Arturo's number after multiplying by 4 is -24 / 4 = -6.

Therefore, Arturo started with the number -6.

Learn more about Finding the starting number here:

brainly.com/question/26523581

#SPJ3