One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?

Answers

Answer 1

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  [tex]\frac{sum of scores}{number of samples}[/tex]

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]

                                                    = 242


Related Questions

what the facters of 18​

Answers

☽------------❀-------------☾

Hi there!

~

[tex]1, 2, 3, 6, 9, 18[/tex]

The factor pairs of 18 are:

[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

1*18=18

2*9=18

3*6=18

There are no other factors, Hope this helps!!

10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of

3:5. How much does Monika get?

(a) £120

(b) £200

(c) £60

(d) £90

Answers

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie

Answers

Answer:

2240

Step-by-step explanation:

280*8= 2240

Simplify 6(1/4+5/2)-2

Answers

6(0.25+2.5)-2
6(2.75)-2
16.5-2
=14.5

Answer:

14 1/2 or 29/2

Gabby bought 5.15 kg of apples and 1.6 kg of oranges how much fruit did she buy in all

Answers

Answer:

6.75kg of fruit

Step-by-step explanation:

5 + 1 = 6

.15 + .6 = .75

6 + .75 = 6.75

Answer:

6.75

Step-by-step explanation:

Add 5.15 and 1.60

5.15

1.60

6.75

The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F

Answers

Answer:

The answer is -7 degrees. :)

Step-by-step explanation:

-5+9-11=7

Answer:

I would say -7 degrees

Step-by-step explanation:

What is the density of Iron Ore (Hematite)? Mass = 30g: Volume = 3.02
cubic cm. Round to TWO decimal places.

Answers

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

The local reader's club has a set of 64 hardback books and a set of 24 paperbacks. Each set can be divided equally among the club members. What is the
greatest possible number of club members?
A. 6
B.192
C. 12
D. 8

Answers

24/8 = 3, 64/8 = 8
Therefore the answer is D. 8

Answer:

D

Step-by-step explanation:

Yw UVU

The sum of 2 times a number and 4 is equal to 8

Answers

The answer is 2x+4=8

Answer:

2x + 4 = 8

Step-by-step explanation:

This is the answer because:

1) 2 times a number is representing 2 multiplied with an unknown number, so we can use a variable (x) to represent the number

2) "and" is representing adding. Therefore, 2x + 4 is what is representing the sentence "The sum of 2 times a number and 4"

3) Finally, "equal to 8" is representing how the expression: 2x + 4 is eual to 8

Therefore, the correct equation is 2x + 4 = 8

Hope this helps!

Lila works 40 hours a week and earns $9 an hour . Her baby stays with a sitter during the hours Lila works . Lila pays the sitter $5 an hour . After paying the sitter , how much of her paycheck does Lila have left

Answers

Answer: $160

Step-by-step explanation: If she works 40 hours a week, than that is $360 a week, if she pays the sitter $5 a week, then that means she pays the sitter $200 a week.  Subtract and you get $160.  

Write the standard form of the line that passes through (-1,-3) and (2,1).

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

It is 2.1 km from Mary's house to the nearest mailbox. How far is it in meters?

Answers

answer: 2.1km in meters is 2100m
Given:

It is 2.1 km from Mary's house to the nearest mailbox.

To Find:

How far is it in metres.

Conversion:

1 km = 1,000 m

2 km = 2 × 1,000 = 2,000 m

Solution:

2.1 km = ( 2,000 + 100 ) m = 2,100 m

Answer:

2,100 m

Therefore, It is 2,100 metre far away from Mary's house.

Convert 4 meters to inches

Answers

Answer:

157.48

Step-by-step explanation:

1 metre = 39.37 inches(Approx.)

=> So, 4 metres= 4 * 39.37 = 157.48

Answer:

158in

Step-by-step explanation:

1m = 39.37

So,

4m = 4*39.37

     = 157.48 = 157.5 = 158in

can you help me please!!!!
please!!!! :)​

Answers

Answer:

Qn.1

{4,5,6,7,8,9,12,15,16}is ans of 1

{8,9}is ans of 2

{4,5,6,7,8,9,18,20}is ans of 3

{}Is the ans of 4

{8,9,12,15,16,18,20}is ans of 5

{}is ans of 6

{4,5,6,7,8,9,12,15,16,18,20} is ans of 7

{8,9,12,15,16} is ans of 8

Qn.2

{0,12}is ans of 9

{0,2,10,12}is ans of 10

{0,4,6,8,12}is ans of 11

{2,4,6,8,10}Is ans of 12

{}is ans of 13

{0,12}is ans 14

{0,12} is ans 15

{0,2,10,12} is ans of 16

{0,12} is ans of 17

{0,12} is ans of 18

{2,10} is ans of 19

{4,6,8} is ans of 20

I haven't made the symbol of union and intersection because i don't how to make.

it may help you at your work

This is due tonight and I am struggling with a couple of questions. This is one. Please help

Answers

Answer:

x = 4.2

Step-by-step explanation:

72 + 10x = 114

10x = 114 - 72

10x = 42

x = 42/10

x = 4.2

Answer:

x = 4.2

Step-by-step explanation:

x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.

Find distance AB.
A(3, 2) and B(9,7)

Answers

Answer:

I hope you understood it.

A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)

Answers

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?

Answers

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them. How will the price of the jeans be affected? Give reasons to your answer

Answers

If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.

For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.

the price of the jeans is likely to be affected by the low demand resulting from the high cost.

Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:

1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.

2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.

3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.

In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.

Learn more about price here

https://brainly.com/question/32388846

#SPJ2

Round to the nearest cent.
$24.373

Answers

Answer:

$24.400

Step-by-step explanation:

it means you should round to hundredth place

$24.37

357,335 rounded to the nearest ten

Answers

Answer:

357,340

35 is the tens place, and if it is 5 or larger we round up to in this case, 40

Answer:

357340

Step-by-step explanation:

Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78

Answers

Answer:

Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Step-by-step explanation:

Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Answer:

Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Add parentheses to the equation below so that x = 90. 3 + 2^2 /4 - 10 = x

Answers

Answer:

(3+2)²*4-10=x

Step-by-step explanation:

If it was a typo and is actually times 4, not divided by 4, then here is the answer:

(3+2)²*4-10=x

5²*4-10=x

25*4-10=x

100-10=x

90=x

If it actually was divided by 4, I don’t see any way it can be done.

Answer:

B

Step-by-step explanation:

(3+2)²*4-10=x

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: u =5 H_1: U =/ 5 . I can not make the equal wiht aline through it
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation

Answers

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

Combine like terms
3x + 2x + 11y - 7y
Help

Answers

Answer:

5x + 4y

Step-by-step explanation:

3x + 2x = 5x

11y - 7y = 4y

The like terms just means whatever numbers have the same “letters.” So everything with an X you combine and everything with a Y you combine

3x + 2x + 11y - 7y
You could look at it like
(3x + 2x) + (11y - 7y)
5x + 4y

Please help me ASAP!!!

Answers

Solution:

[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]

Answer:

[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]

Step-by-step explanation:

[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]

[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

10x + 36 = 8x -36
What is x?

Answers

Answer:

x= -36

Step-by-step explanation:

Hope this helps.

Answer:

[tex]x = -36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]10x + 36 = 8x - 36[/tex]

-Subtract [tex]8x[/tex] from [tex]10x[/tex] :

[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]

[tex]2x + 36 = -36[/tex]

-Subtract both sides of the equation by [tex]36[/tex] :

[tex]2x + 36 - 36 = -36 -36[/tex]

[tex]2x = -72[/tex]

-Take [tex]2x[/tex] divide it on both sides:

[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]

[tex]x = -36[/tex]

So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].

What is This Math Problem Equal To? 2×10+80÷2?

Answers

it is equal to 60 using pemdas

Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate

Answers

Answer:

He can run more 4.5 miles [total 13.5 miles in one hour]

Step-by-step explanation:

check the attachment for explanation

Hey can some please help it's due today thanks!!!

Darnell thinks that -4 is less than -6 because 4 is smaller than 6, and -4 is closer to 0 than -6 is. Explain why Darnell is incorrect.

Answers

Answer:

Darnell is incorrect because negative numbers are different than positive numbers. -4 is greater than -6 because it is closer to 0. Which means that it is closer to the positives. :) The biggest negative number is always going to be less than the smaller negative number. :)

Step-by-step explanation:

Answer:

Darnell is incorrect because she is thinking about positive numbers instead of negative numbers.

Step-by-step:

-6  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

 
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