The time a student sleeps per night has a distribution with mean 6.06 hours and a standard deviation of 0.55 hours. Find the probability that average sleeping time for a randomly selected sample of 35 students is more than 6.15 hours per night.

Answers

Answer 1

Answer:

The probability is 0.16602

Step-by-step explanation:

We start by calculating the z-score

We have this mathematically as;

z-score = (x-mean)/SD/√n

From the question,

we have x = 6.15

mean = 6.06 hours

standard deviation = 0.55 hours

n = 35

Substituting these values, we have

z-score = (6.15-6.06)/0.55/√35

z-score = 0.09/0.55/5.92

z-score = 0.97

So the probability we want to calculate is:

P ( z > 0.97)

we make use of the standard normal distribution table here

The value is; 0.16602


Related Questions

A herd of buffalo began with a population of 100,000. The average birth rate has been 25% per year, but the death rate has been 48% per year. What is the difference between the birth rate and death rate?

Answers

Answer:

23

Step-by-step explanation:

cuz i know stuff (its simple subtraction)

Evaluate the following expression for m=9

Answers

Answer:

That is 4

Step-by-step explanation: First you need to substitute 9 in for m. Then multiply 4 x 9 to get 36. Then the square root of 36 is 6. Lastly 6-2 equals 4.

Which of the following correctly uses the additive inverse property

Answers

What are the choices can’t help if there’s so choices to choose from

Step-by-step explanation:

-6÷-30=1/6÷1/30

1/6×30/1

=5

Randy purchases a cap for $12. The store charges him 7% sales tax on the purchase. How much sales tax will the store charge on the purchase?

Answers

$ 12.84 because first you want to convert the 7% into a decimal which is 0.07 and then multiply 12 x 0.07 = 0.84 then add 0.84 + 12 = 12.84

Answer:The answer is (D)

Step-by-step explanation:Just took he quiz

Which of the following is equal to 3 quarts?

a 8pints

b 12cups

c 64fl oz

d .34 gallon ​

Answers

Answer:

b

Step-by-step explanation:

there are 16 cups in a gallon and there are 4 quarts in a gallon. 3 quarts is 3/4 of a gallon and so is 12 cups.

Answer:

B

Step-by-step explanation:

1 quart=4 cups

So 4x3=12

A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.

Required:
a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.
b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?

Answers

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

4j = 0.7 Solve for j

Answers

Answer:

0.175

Step-by-step explanation:

[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]

j=0.175

Divide 4j and 0.7 by 4

You should get 0.175

Ben wants to buy a baseball cap that cost $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax ​

Answers

Answer:

the answer shouuld be $1.96

Step-by-step explanation:

24.50x.08= 1.96

Answer:

1.96 in sales tax

Step-by-step explanation:

to get percent of a number just multiply the percent in decimal form by the number for example 8% --> .08

use substitution X+y=11 -x=-y-9​

Answers

Answer:

-(_y)-11=-y-9

Y-11=-y-9

2y=2

Y=1

A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters should the carpenter cut each piece.

Answers

Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

Carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

Let the length of each piece = x meters

Since, the number of pieces (of equal length) of the wooden board = 6

Therefore, total length of wooden board = 6x

It's given in the question that the length of the wooden board is [tex]\frac{1}{4}[/tex] meter.

Therefore, 6x = [tex]\frac{1}{4}[/tex]

[tex]\frac{6x}{6}=\frac{1}{4\times 6}[/tex]

[tex]x=\frac{1}{24}[/tex] meter

    Hence, carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

Learn more,

https://brainly.com/question/15055965

Kendall is making and selling necklaces. It costs Kendall $2.00 to make each necklace. If she sells 40 necklaces for $5.00 each, how much profit did she make?

Answers

Answer:

Kendall makes 120$ profit by selling necklaces.

Step-by-step explanation:

To show how much it costs to make all the necklaces in total multiply 2 x 40 to get 80$. To show much much money she gets for the necklaces multiply 5 x 40 to get 200$.  To show how much profit she makes subtract 80$ from 200$ to get 120$.

I believe she would be making a 30$ profit bc 5x40= 90$ but 2x40 = 60$ if it costs her 60$ to make 40 bracelets we would subtract 90 from 60 which equals 30

ClassLink - My Apps
Sora
Question 3
8 pts
4 In.
5 In.
5 in.
3. A restaurant cuts and stores cheese in wedges like the one
shown in the diagram to the right. If workers wrap each
cheese wedge in foil, what is the minimum amount of foil
they need to wrap one wedge?
A 48 in.
B 60 in.
C 72 in.
D 88 in.
4 In.
6 In.

Answers

Answer:

what is this???? i dont get it

Step-by-step explanation:

PLS HELP ME NOW THERE DIFFERENT QUESTIONS

Answers

I think the answer is d

The guidance office at a high school surveyed their 12th grade students to know in which of four states they would prefer to live in after highschool. The results are summarized in the tso way frequency table below.

Which two-way table accurately represents the relative frequency for the whole table in this situation?

Answers

Hence, the two way frequency table is:

                  Action                 Drama                Comedy         total

Highschool  26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College      20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                   0.36                        0.33                     0.31                   1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data  as:

                         Action              Drama                     Comedy     Total

Highschool        26                     14                            22                 62

College              20                     28                            18                 68

------------------------------------------------------------------------------------------------------------

Total                            46                      42                           40               128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

                               Action                 Drama                Comedy         total

High school      26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College           20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                      0.36                        0.33                     0.31                   1

Answer:

It would be the first table (taking the test right now) p.s sorry if im late

Step-by-step explanation:

CA TX NY FL Total

Boys 0.21 0.095 0.16 0.11 0.575

Girls 0.125 0.11 0.065 0.125 0.425

Total 0.335 0.205 0.225 0.235 1

PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x

a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)

Answers

Answer:

(0,1)

Step-by-step explanation:

i recommend if you ever need a faster answer use desmos!

A school administrator is curious what proportion of the 2,400 students at the school regularly eat breakfast. They take an SRS of 150 of these students, and 104 of them report that they regularly eat breakfast. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.

Which conditions for constructing this confidence interval did their sample meet? Choose all answers that apply:

a. The data is a random sample from the population of interest.
b. The observed counts of successes and failures are both sufficiently large.
c. Individual observations can be considered independent.

Answers

Answer: A, B, & C

Step-by-step explanation:

Select all

The conditions for constructing confidence interval are:

The data is a random sample... The observed counts... Individual observations...

What is confidence interval?

A confidence interval serve as the tool that can predict how a value can fall between a pair of values in a distribution mean.

From the case above, as regards the confidence interval with the sample , we can see that the data is a random sample, and there is independent observation.

Learn more about confidence interval at;

https://brainly.com/question/17097944

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I need help ASAP please giving brainliest!

Answers

Answer:

20.00

Step-by-step explanation:

Answer:

$20.00

Step-by-step explanation:

How long will it take to run up to ∞ kilometers per hour?

Answers

Answer:

About 30 min

Step-by-step explanation:

Only people who like gon and wants him can come here

Answers

Answer:

I like Gon and Ging and Killua.

Hunter x Hunter is the best

Step-by-step explanation:

maybe gon can beat me..

BUT CAN HE BEAT MR.SHARK

..I don't think so..

SMACK SMACK SMACK

solve for sin3theta​

Answers

Answer:

 sin 3 θ  = 3 sin θ  - 4 sin³θ

Step-by-step explanation:

Step(i):-

Given    sin 3 θ  

            =  sin ( 2θ + θ )

apply trigonometric formula

         sin ( A + B) = sin A cos B + cos A sin B

        sin 2 A = 2 sin A cos B

        Cos 2 A = 1 - 2 sin² A

        cos ² A - sin ² A = 1

Step(ii):-

    sin 3 θ  =     sin ( 2θ + θ )

               =  sin 2θ cosθ +  cos2θ sin θ

              = 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ

              = 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ

              = 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ

              = 2 sin θ - 2sin³θ +  sin θ- 2 sin³ θ

              = 3 sin θ  - 4 sin³θ

Final answer :-

 sin 3 θ  = 3 sin θ  - 4 sin³θ

                             

Two more than 5 times a number,n, is greater than 3.

Answers

Answer:

5n + 2 > 3 (If you're writing the equation)

n > 1/5 (If you're solving for n.

Step-by-step explanation:

Answer: n > 1/5

Step-by-step explanation:

2 + 5n > 3

5n > 1

n > 1/5

A multiple of a number is the power of a number

Answers

Step-by-step explanation:

very unique nice speech for a number lol

In the following equation f(n) = 2n + 3, what value represents the growth?

Answers

Answer:

3 represent growth it is the ans of this qn

Step-by-step explanation:

bcz 3 is increasing eqn by 3

Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

Answers

Answer:

[tex]P(L\ or\ C) = 0.13[/tex]

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

[tex]P(L) = 6.5\%[/tex]

[tex]P(C) = 9.5\%[/tex]

[tex]P(L\ and\ C) = 3\%[/tex]

Required

Calculate P(L or C)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]

Substitute values for P(L), P(C) and P(L and C)

[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]

[tex]P(L\ or\ C) = 13\%[/tex]

Convert to decimal

[tex]P(L\ or\ C) = 0.13[/tex]

Hence:

The required probability is 0.13

i realy need help with this: 2 2/3 divided by 9

Answers

Answer:

8/27

Step-by-step explanation:

2 2/3 = 8/3

8/3 divided by 9 =

8/3 x 1/9 =

8/27

Choose the answer to complete each statement

Answers

Answer:

Slope: -7/-3=7/3x

Y-int: -3

Function: y=7/3x-3

realiza las siguientes adiciones y halla abc
2+22+222+2222+...+22 222 222=abc

Answers

Answer:

sssssssssiiiiiiiiiiiiii

Answer:

6

Step-by-step explanation:

A scale model of an object is 6 inches tall. The actual object is 324 feet tall. What is the scale factor of the model

Answers

Answer:  try downloading an app for math

Step-by-step explanation:

It helps me

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U .

Answers

Answer:

h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)

Step-by-step explanation: plato/edmentum

The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞) .

What is domain?

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

According to the question

f(x) = [tex]x^{2}[/tex] − 8x + 15

g(x) = x − 3

h(x) = f(x) ÷ g(x)

i.e,

h(x) = [tex]\frac{ x^{2} -8x + 15}{x-3}[/tex]

now,

x ≠ 3

[tex]h(x) = \frac{(x-5)(x-3)}{(x-3)}[/tex]

so,

Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)

Hence, The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞)

To know more about domain here:

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Please help I’m so close to passing math

Answers

Answer:

225 miles per hour

Step-by-step explanation:

The first trip was 150 miles per hour and the second trip was 300 miles in only one hour. I added both of them and then divided by 2 to get the average.

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