1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
10

Last friday Adam had 22.33. Over the weekend he recieved some money for cleaning the attic. He now has 32. How much money did he

recieve
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0
Let x = the money Adam earned for cleaning the attic
before Adam cleaned the attic, he had $22.33
after Adam cleaned the attic, he had $32
which means that the money Adam had before he cleaned the attic plus the money he earned while cleaning the attic equals the $32 he had after he cleaned the attic. you can set that up in an equation, like this:

x+22.33=32 OR the money Adam had before he cleaned the attic plus the money he earned while cleaning the attic equals the money he had after cleaning the attic.
So let's look at the equation again:

x+22.33=32
all we have to do is subtract the money he had before cleaning the attic from both sides of the equation(or just subtract 22.33) and we get:
x=32-22.33
and we simplify that to:
x=9.67
so Adam earned exactly $9.67 while cleaning the attic.
You might be interested in
The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

Z = \frac{X - \mu}{s}

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
In a week, 13 hens laid 65 eggs. What is the independent variable
scZoUnD [109]

Answer:

The hens are the independent variable

Step-by-step explanation:

An independent variable is something that isn't dependent on anything else. Whose laying the eggs? The hens right? So the number of eggs laid is dependent on the number of hens laying them. Basically the hens are the independent variable because the number of eggs is relying on the number of hens laying them.

5 0
3 years ago
Read 2 more answers
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
2 years ago
Helppppppp:))) Pls :)))))))
Umnica [9.8K]

Answer:

the handle will end up on the left side

Step-by-step explanation:

The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).

The result is that the handle will end up on the left side. The cup will still be right side up.

8 0
3 years ago
Read 2 more answers
Find the percent of change on an item that was $44 and now costs $66.
iVinArrow [24]

Answer:

33.3%

Step-by-step explanation:

the increase in price was $22.  Find the ratio

$22

-------

$66

which comes out to 0.33333, or 33.3%.

The percent change in the price of the item is 33.3%.

4 0
3 years ago
Other questions:
  • Triangle A B C is congruent to triangle E F G.
    12·2 answers
  • What is the check digit, d, for the UPC bar
    14·1 answer
  • (D2+6d+9)+(d3-6d+9)
    15·2 answers
  • Interpreting Polynomial and Rational Expressions
    9·1 answer
  • What the sender is it 8i
    14·1 answer
  • How do you do 4,686 divided by 2 using long division
    8·2 answers
  • Sandy works at a clothing store. She makes $7 per hour plus earns 10% commission on her sales. She worked 80 hours over the last
    8·1 answer
  • PLEASE HELP I genuinely want to understand so please explain
    7·1 answer
  • Find the area of the rhombus shown.
    7·1 answer
  • 3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!