1. The amount of time Mr. Smith spends exercising each day is
approximately normally distributed with a mean of 30 minutes and a
standard deviation of 10 minutes. On approximately what percent of the
days in a year does Mr. Smith exercise for between 10 minutes and 40
minutes?

Answers

Answer 1

Answer:boy

Step-by-step explanation:boy

Answer 2

Mr. Smith exercises for between 10 and 40 minutes on 77.45 percent of the days in a year.

Given that his exercising time follows a normal distribution with a mean of 30 minutes and a standard deviation of 10 minutes.

Here we have to find the percentage of days in a year that Mr. Smith exercises for between 10 and 40 minutes,

First, we need to standardize the values of 10 and 40 minutes using the formula,

⇒ z = (x - μ) / σ

where x is the value we want to standardize,

μ is the mean,

And σ is the standard deviation.

For x = 10:

⇒ z = (10 - 30) / 10

       = -2

For x = 40:

⇒ z = (40 - 30) / 10

      = 1

Now, we need to find the probability of Mr. Smith exercising between -2 and 1 standard deviations from the mean.

We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table,

we can find the probability of z being between -2 and 1 is about 0.7745. This means that on approximately 77.45% of the days in a year, Mr. Smith exercises for between 10 and 40 minutes.

Therefore,

Mr. Smith exercises for between 10 and 40 minutes on approximately 77.45% of the days in a year.

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Related Questions

Evaluate:
2451(4n + 9) = [ ? ]
Please help

Answers

Answer:

4545

Step-by-step explanation:

I used a spreadsheet to calculate the value....

n                               Sum

1        4n+9     13        13

2       4n+9     17        30

3       4n+9     21        51

.                                   .

.                                   .

.                                   .

44    4n+9     185        4356

45    4n+9     189        4545

Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ ° A right triangle is shown. The hypotenuse has a length of x. The other 2 sides have lengths of 24 inches and 7 inches. The angle opposite to the side with length 7 inches is y, and the angle opposite to the side with length 24 inches is z.

Answers

9514 1404 393

Answer:

x = 25y = 16.3°z = 73.7°

Step-by-step explanation:

The length of the hypotenuse can be found using the Pythagorean theorem:

  x² = 7² +24² = 49 +576 = 625

  x = √625 = 25

__

The angles can be found from the sine relation.

  Sin = Opposite/Hypotenuse

  sin(y) = 7/25

  y = arcsin(7/25) ≈ 16.3°

The acute angles in a right triangle are complementary, so ...

  z = 90° -16.3° = 73.7°

Answer:

x = 25 in.

y ≈ 16.3 degrees

z ≈ 73.7 degrees

Step-by-step explanation:

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

Answers

Complete question :

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?

Answer:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic = - 1.563

Critical value = ±2.023

Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs

Step-by-step explanation:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic, Z :

(Xbar - μ) / (s/√n)

(6.4 - 7) / (2.4276/√40)

-0.6 / 0.3838372

T= -1.563

α = 0.05 ; df = n - 1 = 40 - 1 = 39

Critical value(0.05, 39) = ±2.023

|T| > +Tcritical ; Reject the Null

Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.

Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.

Answers

B. F(x) is positive for all x-values less than 1

NEED HELP WITH THIS please

Answers

Answer:

Step-by-step explanation:

this is A
……………………………..

What are the other side lengths of the triangle?

Answers

9514 1404 393

Answer:

  24, 26

Step-by-step explanation:

The shortest side of the given triangle is 10 units, so the similar triangle is larger by a factor of 20/10 = 2. The other two sides of the similar triangle are both 2 times the other two sides of the given triangle:

  2×12 = 24

  2×13 = 26

The other side lengths are 24 and 26 units.

According to the graph, the __________________ is 57-43.

Answers

Answer:

Range

Step-by-step explanation:

The range is the max value minus the min value


What is 3/4-5/8?
? Give your answer in its simplest form.

Answers

Answer:

1 over 8

1

8

=0.125

Step-by-step explanation:

Select the correct answer.
Wayne is holding a can of juice that has a diameter of 4 inches. There is a price tag stuck to the side of the can. Wayne places the can on its with
side with the sticker on the bottom and rolls it across a table top at a constant speed. The can reaches Wayne's friend at the other end of the
table in 5 seconds and completes 4 full rotations,
Which function could represent the price tag's height relative to the table top, h(t), after it has been rolling for e seconds?
OA n(t) = 2008(832) +2
O B. h(t) =-2005(522) +2
OC h(t) = –2sin(572) +2
OD. h(t) = 4sin (22) +4

Answers

Answer:

A.

Step-by-step explanation:

Trial and error on the Desmos graphing calculator

Answer:

The correct answer is B. h(t)=-2cos(5pi/2t)+2

Step-by-step explanation:

Took the test

any help please .. using the last of my points for this :/

Answers

1. Exponential would be the best option to model the data because of the large increase. It would be more difficult to model it linear because the linear values would jump from 10 to 34 to 91 etc. there is a no correlation between them.
2. We can tell which function is the best based on the y values and x values. Especially with key words like double or triple we know that’s it going to be exponential. Linear would be like if we were presenting a graph for tickets and prices which is a straight line with increasing x and y values and the rate of change is constant.
Exponential usually have a consistent multiplier so it won’t be the same but there will be a pattern.
3. 4 data points would be 1,2,3,4 for x values and for y (2,4,6,8). I set up the data to be constant the x values are adding by 1 and the y values are added by 2. If we were graphing this it would obviously be a straight line.

Expand (x-2)^2 in polynomial form

Answers

Answer:

x^2 -4x +4

Step-by-step explanation:

(x-2)(x-2)

x^2 -2x -2x +4

x^2 -4x +4

Please help answer this question

Answers

X= 4 this solution is valid

X= 20 this solution is valid

X=4
X=20
Hope this works for you

Which statement about 12 multiplied by 5/4 must be true?
•The product is greater than 12.

•The product is less than 5/4.

•The product is equal to 12 multiplied by the reciprocal of 5/4.
•The product is less than 12.

Answers

Answer:

The answer is A. The product is greater than 12

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

a^2 + b^2 = c^2
21^2 + b^2 = 29^2
b^2 = 29^2 - 21^2
b^2 = 400
b = 20 yds

3^4 + 3 • 5 =
(Input only whole numbers.)
Numerical Answers Expected!

Answers

Answer:

To write 3/4 as a fraction with a common denominator, multiply by 5/5

.

3/4⋅5/5+3/5

To write 3/5

as a fraction with a common denominator, multiply by 4/4

.

3/4⋅5/5+3/5⋅4/4

Write each expression with a common denominator of 20

, by multiplying each by an appropriate factor of 1

.

Tap for more steps...

3⋅52/0+3⋅42/0

Combine the numerators over the common denominator.

3⋅5+3⋅420

Simplify the numerator.

Step-by-step explanation:

Find the area in square inches. <3

Answers

To find the area of a triangle you are supposed to use the formula:

1/2 x b x h

So we know the height and base is 9 and 12:

1/2 x 9 x 12

Multiply the newly made equation and you get:

54


Have an awesome day <3

Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.

Answers

Answer:

5,000+6,000+7,000+,9,000+6,000+5,000= 38,000

Step-by-step explanation:

The minimum cost of meeting the demands of the next six months is $7475.00.

Here, we have,

To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.

Let's break down the problem into several steps:

Step 1: Calculate the regular production capacity and overtime capacity:

Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.

Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.

Given:

Regular working hours per month: 150 hours

Overtime hours per month: 40 hours

Time to produce a pair of shoes: 20 minutes (1/3 of an hour)

Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month

Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month

Step 2: Create a monthly production plan:

We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.

Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.

Month 1:

Demand: 5000 pairs

Additional production needed: 5000 - 500 = 4500 pairs

Month 2:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500) = 1000 pairs

Month 3:

Demand: 7000 pairs

Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs

Month 4:

Demand: 9000 pairs

Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs

Month 5:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Month 6:

Demand: 5000 pairs

Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Step 3: Determine the hiring and firing decisions:

To minimize costs, we need to hire or fire workers based on the additional production needed for each month.

Based on the calculations from Step 2, we can identify the following hiring and firing decisions:

Month 1:

Additional production needed: 4500 pairs

Hire 5 workers (cost: 5 * $1000 = $5000)

Month 2:

Additional production needed: 1000 pairs

No hiring or firing needed (as the existing workforce can handle it)

Month 3:

Additional production needed: 1000 pairs

No hiring or firing needed

Month 4:

Additional production needed: 2000 pairs

No hiring or firing needed

Month 5:

Additional production needed: 0 pairs

No hiring or firing needed

Month 6:

Additional production needed: 0 pairs

No hiring or firing needed

Step 4: Calculate the costs:

Now, we can calculate the costs associated with hiring, firing, and production.

Hiring cost: $5000 (Month 1)

Firing cost: $0 (No firing needed)

Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.

Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)

Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50

Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50

Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00

Total cost:

Total cost = Hiring cost + Firing cost + Holding cost

= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)

= $7475.00

Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.

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If two angles are supplementary and one angle is xº what is the measure of the other angle?

Answers

Answer:

Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x

Step-by-step explanation:

Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression

Answers

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

What is the coefficient of the leading term in that binomial?

Answers

15 is the coefficient
It would be 3. This is because just by looking at the first term of the quadratic we need to make 3x^2 with our two factors. The leading coefficient is 3 in the quadratic, thus we must consider its factors in the two binomials making the factors of the quadratic. 3’s factors are just 1 and 3. Since, one is already taken by the binomial given(the imaginary one in front of the x) we can safely assume the second factor to have a leading coefficient of 3.

Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)

Answers

Answer:

A. (-6,-5)

Step-by-step explanation:

A: Correct because -6+-5=-11------True

    and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +

    so our new equation is -12+15=3-----True

  -Your welcome and I hope this helps you, please rate 5 stars =D

I neeed help on thesse last two my test ends in 3 min help

Answers

Answer:

cjones8806

Virtuoso

38 answers

183 people helped  

i need points sorry I cant help

Step-by-step explanation:

green box?

(srry if it isn't correct, but that's what I got!!)

rlly sorry

I need help wants 13x+2y-10-7y (you have to simplify it)

Answers

Answer:

13x-5y-10

Step-by-step explanation:

HELP FILE IS BELOW MATH QUESTION ABOUT ANGLES

Answers

Answer:

A

Step-by-step explanation:

In image

l

v

A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white or red?

Answers

The probability of not selecting white or red is 6/18 = 1/3

Used car auctions give car dealers an opportunity to increase their used car inventory by purchasing cars used as rental cars, assigned to company executives, and other similar activities. Suppose population 1 is all black cars sold at used car auctions, and population 2 is all white cars sold at used car auctions. Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions. Based on this, using both the appropriate symbol and in words, state the one parameter of interest.

a. The parameter of interest is μ the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
b. The parameter of interest is μ1, the mean sale price of all black cars sold at used car auctions.
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
d. The parameter of interest is μ2, the mean sale price of all white cars sold at used car auctions.

Answers

Answer:

c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions

Step-by-step explanation:

Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.

The parameter of interest is the difference. Suppose we have that [tex]\mu_1[/tex] is the mean sale price of all black cars sold at used car auctions, while [tex]\mu_2[/tex] is the the mean sale price of all white cars sold at used car auctions. Since the parameter of interest is the difference, it is [tex]\mu_1 - \mu_2[/tex], and the correct answer is given by option c.

which data set could not be represent by the box plot shown

Answers

Answer:

Mean, and the Mode

Step-by-step explanation:

the things it can represent are

Minimum: 4

Maximum: 14

First Quartile: 7

Second Quartile: 9

Third Quartile: 12

Median: 7.5

i give points for answer that sounds like a good reward

Answers

Answer:

6(x+3)=24

x represents the price of one ticket

x = 1

You can figure out the last part

Step-by-step explanation:

The x represents the price of one ticket because you are paying for 6 tickets and 6 - $3 snacks

6(x+3) = 24

x+3 = 4

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

NEED HELP ASAP! WILL GIVE BRAINLY :)

Answers

Answer:

y = x - 3

Step-by-step explanation:

Slope = Rise / run

Slope = 4/4 = 1

y-intercept = -3

y = x - 3

44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.

16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list

Answers

Answer:

I believe the answer is 64 x 12x

Step-by-step explanation:

16(12x)4 =

16 x 4(12x)

64 x 12x

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