A package of 4 pairs of insulated socks costs $26.36. What is the unit price of the pairs of socks?
The unit price is $
per pair of socks

Answer:

The probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Step-by-step explanation:

Let X denote of age of JSOM students.

The information provided is:

[tex]\mu=24\\\sigma=9\\n=36[/tex]

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.

Compute the probability that the sample mean will be between 25.5 and 27 years as follows:

[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]

Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Answer:

18

Step-by-step explanation:

If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.

Answer:

It's 18

Step-by-step explanation:

25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D

Answer:

A = 145cm

Step-by-step explanation:

A+B+C = 445cm  

b = 1/2c

a = b+45  =  1/2c + 45

445 = c + (0.5c) + (0.5c + 45)

445 = 2c + 45

445 - 45 = 2c

400/2 = c

c = 200cm

a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm

Answer:

B. 0.75x + 1.25y [tex]\leq[/tex] 15

Answer:

x^2 - 6x + 9

Step-by-step explanation:

x(x - 1) = 9

x^2 - x - 9 = 0

x = 3.54 or x = -2.54 (using quadratic formula)

x^2 - 6x + 9 = 0

(x-3)^2 = 0

x = 3

x^2 = 9

x = ±√3 (any positive number square rooted always have 2 answers)

Answer:

13

Step-by-step explanation:

x = 3 & y = 5

2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²

                          = 2*5 + 3*(-2) + 3²

                         = 10 - 6 + 9

                        = 4 + 9

                        = 13

Answer:

Yes it's B or C

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

to find percentage you divide the no of people who were satisfied by the car by the no of people who bought the car then multiply by a hundred

thus 1925÷3500×100

Answer:

7

Step-by-step explanation:

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.

The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.

Examples

In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.

-3 + 3 = 0

3 - 3 = 0

The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.

Answer:

7

Step-by-step explanation:

The additive inverse of a number is is the number that, when added to it, yields zero.

Answer: linear

Step-by-step explanation:

Answer:

LINEAR...................

Step-by-step explanation:

y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)

Answer:

x=5

Step-by-step explanation:

I was working on this problem also.

Maybe my version will help, too.

You need to sketch f given the information you have.

f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)

f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.

f then slopes down to to x=5 where is has a minimum and then slopes up.

if im not wrong

Answer:

s>22

Step-by-step explanation:

2s>49−5

2s>44

s>44/2

s>22

Answer:

True ; it is true

Step-by-step explanation:

The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.

Variation describes a simple relationship between two variables.

Therefore, y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1 / w²

Therefore,

y = kxz / w²

where

k = constant of proportionality

Hence,

y = 3

x = 3

z = 10

w = 2

yw² / xz = k

k = 3 × 2² / 3 × 10

k = 12 / 30

k = 6 / 15 = 2 / 5

Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.

k = 4 × 4²  / 4 × 20

k = 64 / 80

k = 16 / 20 = 4 / 5

learn more on variation here: https://brainly.com/question/17068737

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Answer:

-0.24 ; 0.71

Step-by-step explanation:

Given that :

Mean number of siblings (m) = 3.76

Standard deviation (s) = 3.18

Z score associated with 3 siblings

x = 3

Using the relation :

Zscore = (x - m) / s

Zscore = (3 - 3.76) / 3.18

Zscore = - 0.76 / 3.18

Zscore = −0.238993

Zscore = - 0.24

2.) proportion of respondents with more than 2 siblings

Using the z probability calculator :

X > 2

Obtain the standardized score :

Zscore = (x - m) / s

Zscore = (2 - 3.76) / 3.18

Zscore = - 1.76 / 3.18

Zscore = −0.5534591

Zscore = - 0.55

Using the z table :

P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912

1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71

Answer:

(ab)² = 36

Step-by-step explanation:

Plug in 2 for a and 3 for b:

(2·3)²

Multiply 2 and 3:

6²

Square the number:

36

Answer:

c = 2b

Step-by-step explanation:

First, find the cost of one water bottle by dividing the total cost by the number of water bottles:

12/6

= 2

Then, set up an equation.

2b, where b is the number of bottles, represents the cost of the package of water bottles.

Set this equal to c, the cost, to create the equation.

c = 2b is the equation relating the cost to the number of bottles

Answer:

A C E

Step-by-step explanation:

I'm a little late but I hope this still helps!

Answer:

yeah what he said. A C E

Step-by-step explanation:

I just did the assignment and its right

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-4w-4=-24

-4w=-24+4

-4w=-20 to find w divide both side by -4

-4w/-4 =-20/-4

w=5

Answer:

if x: 10 y: 202 then...

x: 30 y: 374.858 burned calories.

therefore, 375 calories.

About 375 calories burned for an individual who spent 30 minutes weight lifting

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

ý= 8.6067x +116.6567  the average number of calories burned by

a 160 lb individual.

In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.

We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting

To find this we just need to put x value as 30

ý= 8.6067(30)+116.6567

y=258.201+116.6567

y=374.85

y=375

Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting

To learn more on slope intercept form click:

https://brainly.com/question/9682526

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Answer:

19

Step-by-step explanation:

yerreeer cause u add duh

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

[tex]m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3[/tex]

The rate of change of the line or slope of the line is -3

Equation of the line is given by

[tex](y-0)=-3(x-0)\\\Rightarrow y=-3x[/tex]

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

Answer:

Using the slope-intercept form, the slope is 2 2 .

Step-by-step explanation:

The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.

Answer: y+1 = 5(x-1)

Step-by-step explanation:

Answer:use a calculator if you want  since all you do is put in the calculator

Step-by-step explanation:

3/7 is 0.428571428

meanwhile 1/4 is 0.25...

which one do you think is bigger

3/7

so it is greater

Answer:

The probability that the person answered "yes" or was male is 0.537

Step-by-step explanation:

The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.

Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:

P(A∪B)= P(A) + P(B) - P(A∩B)

In this case:

So, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:

P(A)=[tex]\frac{64}{134}[/tex]=0.478

On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:

P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045

Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:

P(B)=[tex]\frac{14}{134}[/tex] = 0.104

Then:

P(A∪B)= P(A) + P(B) - P(A∩B)

P(A∪B)= 0.478 + 0.104 - 0.045

Solving:

P(A∪B)= 0.537

The probability that the person answered "yes" or was male is 0.537

Answer:

146.5619<x<153.4381

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI =  xbar±(z*s/√n)

xbar is the mean = 150

s is the standard deviation = 15.50

n is the sample size = 55

z is the z score at 90% CI = 1.645

Substitute and get CI

CI = 150±(1.645*15.50/√55)

CI = 150±(1.645*15.50/7.4162)

CI = 150±(1.645*2.09)

CI = 150±(3.4381)

CI = (150-3.4381, 150+3.4381)

CI = (146.5619, 153.4381)

CI = 146.5619<x<153.4381

Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381

The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153