MATHEMATICS COLLEGE

-4= -(x-8)
negative four equals negative (parentheses x minus 8 parentheses)

Answers

Answer 1
Answer: -4=-x-8
+4. +4
—————
0=-x-4
x=-4

Related Questions

In a recent survey it was found that Americans drink an average of 23.2 gallons of bottled water in a year. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the probability that a randomly selected American drinks more than 25 gallons of bottled water in a year. What is the probability that the selected person drinks between 22 and 30 gallons
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Ms Adams shares out 36 pencils between Niamh and jack in the ratio 4:8 How many pencils does each get?

Answers

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

Answer:Adam gets 12 and nidam gets 24..

Step-by-step explanation:feel pleasure to help u..

In a survey of 1016 ?adults, a polling agency? asked, "When you? retire, do you think you will have enough money to live comfortably or not. Of the 1016 ?surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99?% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.A. There is a 99?% probability that the true proportion of worried adults is between ___ and ___.

B. 99?% of the population lies in the interval between ___ and ___.

C. There is 99?% confidence that the proportion of worried adults is between ___ and ___.

Answers

Answer:

C. There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

Step-by-step explanation:

1) Data given and notation  

n=1016 represent the random sample taken    

X=535 represent the people stated that they were worried about having enough money to live comfortably in retirement

\hat p=(535)/(1016)=0.527 estimated proportion of people stated that they were worried about having enough money to live comfortably in retirement

\alpha=0.01 represent the significance level

Confidence =0.99 or 99%

z would represent the statistic

p= population proportion of people stated that they were worried about having enough money to live comfortably in retirement

2) Confidence interval

The confidence interval would be given by this formula

\hat p \pm z_(\alpha/2) \sqrt{(\hat p(1-\hat p))/(n)}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_(\alpha/2)=2.58

And replacing into the confidence interval formula we got:

0.527 - 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.487

0.527 + 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.567

And the 99% confidence interval would be given (0.487;0.567).

There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

Final answer:

To build a 99% confidence interval, we first calculate our sample proportion by dividing the number of such instances by the total sample size. Next, we determine the standard error of the proportion, then our margin of error by multiplying the standard error by the Z value of the selected confidence level. Lastly, we determine the confidence interval by adding and subtracting the margin of error from the sample proportion.

Explanation:

To construct a 99% confidence interval for the proportion of adults worried about having enough money to live comfortably in retirement, we will utilize statistical methods and proportions. First, we must calculate the sample proportion. The sample proportion (p) is equal to 535 (the number who are worried) divided by 1016 (the total number of adults surveyed).

Then, we find the standard error of the proportion which we get by multiplying the square root of ((p*(1-p))/n) where n is the number of adults sampled. The margin of error is found using the Z value corresponding to the desired confidence level, in this case, 99%. Multiply the standard error by this Z value. Lastly, we construct the confidence interval by taking the sample proportion (p) ± the margin of error.

The result will give you the 99% confidence interval - meaning we are 99% confident that the true proportion of adults who are worried about having enough money to live comfortably in retirement lies within this interval.

Learn more about Confidence Interval here:

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Which of The following best describes The english expression two more than the quantity of a number minus seven? A. (X-7)+2 B. (X+2)-7 C. X/7+2 D. (2+x)-7

Answers

( x - 7 ) + 2........................
X is the unknown quantity and 2=X is the first line of the question. minus seven is just -7. Therefore the answer is D

Four friends are sharing 7 pizzas equally.

How much pizza will each person get?

Answers

Answer:

1.75 or 1 3/4 pieces of pizza per person

Step-by-step explanation:

Hi,

Divide 4 by 7 and you get...

1 3/4 or 1.75

I hope this helps :)
If it is 8 slices per pie.


8*7= 56

56 total slices.
———————- = 14 slices per friend
4

Answer: 14 slices each.

There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign

Answers

Answer:

5

Step-by-step explanation:

Given that each zodiac sign occupies 1/12 of a year.

Then the minimum number of persons for Y[all different signs] < 0.5,

The probability of at least two having the same sign is 1 minus the probability of all having different signs.

This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5

Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38

This implies that the lowest number will be found to be 5

Hence, the correct answer is 5.

Final answer:

To have at least a 50% chance that two or more people share the same Zodiac sign, there must be 13 people. This is based on the Pigeonhole Principle in probability theory.

Explanation:

This question is related to the field of probability theory. It can be solved using the principle of the Pigeonhole Principle, which states that if there are more items than containers, at least one container must hold more than one item.

Let's visualize each Zodiac sign as a container. If we have 12 people (items), each one can occupy a different Zodiac sign (container), without any sign repeating. Therefore, the probability of two people sharing a zodiac sign would be less than 50% at this point.

However, once we introduce the 13th person, regardless of their Zodiac sign, they would have to 'share' a container (be born under a sign that at least one other person was born under) since there are only 12 Zodiac signs. Therefore, for there to be a 50% chance that two or more people share a Zodiac sign, there would need to be 13 people.

Learn more about Pigeonhole Principle here:

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Basic Geometric Shapes Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 3 points) 1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: a. Hint: Think about it from the cars perspective. The angle youre finding is the inside angle of the cars turn. (a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer. (b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Answers

Answer:

(a)105° (b)105° (c)105°

Step-by-step explanation:

The Question Image is attached and a labeled one for explanation.

(a)If the Car is travelling east from the direction point A and heads North East on Kings Avenue in the direction of E, the angle which the car makes is Angle AFE

Angle AFE=180-75=105°

(b)If a car is traveling southwest on King Avenue and is to turn left onto 3rd Street. His probable starting point is North of 3rd street, say F. The angle created is Angle FGC.

Angle AFE =Angle FGC (Corresponding Angles)

Angle FGC =105°

(c)Suppose a car is traveling northeast on King Avenue is to turn right onto 3rd Street. His starting point will be South of 3rd Street.

Angle HGD will be the angle with which it turns.

Angle HGD= Angle CGE(Vertically Opposite Angles)

Angle HGD=105°

What is the measure of the angle created by the car's turning? Explain your answer.
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