PLEASE HELP! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies.

Answers

Answer 1

Answer:

A random movie is between 1.8 and 2.0 hours.

z=1.8-1.9/0.3= -0.33= 0.3707

z=2.0-1.9/0.3= 0.33= 0.6293

0.6293-0.3707= 0.2586

Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.

A movie is longer than 2.3 hours.

z=2.3-1.9/0.3 =1.33 =0.9082

1-0.9082= 0.0918

Therefore, the chance a movie is longer than 2.3 hours is 0.9082.

The length of movie that is shorter than 94% of the movies

z=x-1.9/0.3= 0.94

z=x-1.9/0.3= 1-0.94= 0.06

=x-1.9/0.3= 0.06= -1.56

x= 1.432

Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.  

Step-by-step explanation:


Related Questions

Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.

Answers

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches.  The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.

Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.​

Answers

Answer:

A,C,&D

Step-by-step explanation:any funny bur cute romance anime recommendations?

In converting 750 ounces to pounds, what unit (omit the number) would you

place in the denominator of your ratio? Use the plural form in your answer.

Remember that there are 16 ounces in 1 pound.

Answers

Answer:

I would use the pounds.

Step-by-step explanation:

The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.

750 ounces          16 ounces

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

  x pounds              1 pound

Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!

What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction

Answers

Answer:

15/163

Step-by-step explanation: I dont have one

Answer:

i think its D

Step-by-step explanation:

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.

Answers

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

[tex]\overline {AB} \ \| \ \overline {OC}[/tex]

Also;

[tex]\angle ABO = \angle BOC = 33^0[/tex]

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

Answer: 10,779 feet

Step-by-step explanation: I just took the test and got it right

i have 2 questions in a section 1. Translate the following phrase into an algebraic expression. Use the variable c to represent the unknown quantity. the total of the number of cars in the garage and the 6 cars outside 2.Translate the following phrase into an algebraic expression. Use the variable d to represent the unknown quantity. the number of dollars Paul owes minus 32

Answers

Answer:

[tex]c+6[/tex]

[tex]d-32[/tex]

Step-by-step explanation:

We need to translate the given phrases into an algebraic expression.

1.

Let variable c represents the unknown quantity.

The total of the number of cars in the garage and the 6 cars outside.

Required expression : Cars in garage + Outside cars  

[tex]c+6[/tex]

Therefore, the required expression is [tex]c+6[/tex].

2.

Let variable d represents the unknown quantity.

The number of dollars Paul owes minus 32.

Required expression : Number of dollars Paul owes - 32

[tex]d-32[/tex]

Therefore, the required expression is [tex]d-32[/tex].

In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°

Answers

Answer:

The correct option is C

C) 76°

Step-by-step explanation:

The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.

We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.

<2 = <4

126 = 7x

x = 18

Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.

<7 = <5

<7 = 4x+4

Substitute x=18

<7 = 4(18) + 4

<7 = 76°

Answer:

option c

Step-by-step explanation:

hope this helps :)

Heellllpppp! Please!

Answers

Answer:

6x+25

Step-by-step explanation:

six times a number

6x

The sum of this and 25

6x+25

Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C &= \left( \frac{1}{8^{1/5}} \right)^2\\ D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}} \end{align*}Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$, then enter "D,A,E,C,B", without the quotation marks.

Answers

Answer:

The order is "D, B, A, E, C".

Step-by-step explanation:

The numbers are as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]

Simplify the value of A, B, C, D and E as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]

Arrange the following numbers in increasing order as follows:

D > B > A > E > C

Thus, the order is "D, B, A, E, C".

Answer:

C, E, A, B, D

Step-by-step explanation:

I had this question and this was the correct answer

At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children

Answers

there are 53 children in the family gathering

Answer:

C = 53

Step-by-step explanation:

WHAT WE KNOW

m + w + c =100

2w - 2 = m

6 + w + m = c

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

FIND C

Find the domain for the rational function:

Answers

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.


2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?

Answers

Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

Which side lengths form a right triangle?

Answers

Answer:

B. 5, 12, 13

Step-by-step explanation:

√5²+12²=13 - yes

√4²+7²= 8.06- no

√20²+22²=29.73 - no

Can someone help me find what the highlighted part came from?

Answers

Answer:

[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]

[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]

[tex]\cos(2\pi) = 1[/tex]

The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.

Demario says that the point (1, 5) on the graph below means that one hat costs $5.00. Is Demario correct? yes or no

Answers

Answer:

I think that Demario is correct.

I think he is correct because the point is (1,5) and it says 5 in dollars.

Answer: Yes he is
Explanation: Because according to the graph (1,5) meet each other there so it’s correct

Find the product or type
"impossible"
4
[1 -2 1] 5
16]

Answers

9514 1404 393

Answer:

  [0]

Step-by-step explanation:

The product is the sum of the products of corresponding terms:

  1·4 +(-2)·5 +1·6 = 4 -10 +6 = 0

The product is the 1×1 matrix: [0].

How many 3-digit even numbers are there that begin with either 5 or 6?

Answers

Answer:

100 numbers

Step-by-step explanation:

There are 100 numbers with 5 as the hundreds digit. (500-599)

There are 100 numbers with 6 as the hundreds digit. (600-699)

There are 50 even numbers with 5 as the hundreds digit.

(500, 502, 504, ... , 598)

There are 50 even numbers with 6 as the hundreds digit.

(600, 602, 604, ... , 698)

50+50=100 numbers

will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction

Answers

Answer:

D on edge

Step-by-step explanation:

merry christmas my elf on the shelf/Farkle is so good and nice ;)

Answer:

d

Step-by-step explanation:

In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?

Answers

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

In a box, there are 4 red and 9 white balls. How many balls should be taken out of the box, so that there will be at least two red balls among them?

Answers

Answer: 11 balls

Step-by-step explanation:

Because there are a total of 13 balls and 4 of them are red, if you are drawing out randomly you have to draw a minimum of 11 balls to guarantee that at least two red balls are among them

Brainliest is much appreciated!

The graph of y = x2 - 4x is shown on the grid.

By drawing the line y = x -4,
solve the equations:
y = x²- 4x
y=x-4

x=1 y=...
or
x=... y=...

Answers

Answer:

Attached pleased find the screen grab of the graph with the line y = x - 4 included

The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)

x = 1 y = -3

or

x = 4 y = 0

Step-by-step explanation:

To verify, we have;

Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows

Thus equating the value of y in both equations gives;

x² - 4·x  = x - 4

x² - 4·x -x - 4 = 0

x² - 5·x  + 4 = 0

(x - 4) × (x - 1) = 0

Therefore; x = 4 or 1

When x = 4, y = x - 4 = 1 - 4 = -3.

SIMPLIFY THIS −4(w+1)=−24 ASAP

Answers

Answer:

5

Step-by-step explanation:

Answer:

W=5

Step-by-step explanation:

First we distribute the -4 in

-4w - 4 =-24

Now we isolate the -4w by adding 4 to both sides

-4w=-20

Now divide

w=5

Have a good day!

ASAP simplify -3(2c+5)=33

Answers

Answer:

c=8

Step-by-step explanation:

-3(2c+5)=33

-6c-15=33

-6c=33+15

-6c=48

c=48/6

c=8

Answer:

if you are solving for C it will be -8.

Step-by-step explanation:

Start by dividing both sides of the equation by -3.

2c + 5= -11

Now Subtract 5 from both sides

2c = -11 - 5 (combime like terms) so 2c = -16

Now divide both sides by 2

You will get C= -8

Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x​

Answers

Answer is B y = sin x

Answer:

B. y = sin x

Step-by-step explanation:

What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5

Answers

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?

Answers

Answer: 52 weeks

Step-by-step explanation:

There are 52 weeks in a year, so she should divide her number by 52.

━━━━━━━☆☆━━━━━━━

▹ Answer

52 weeks

▹ Step-by-Step Explanation

1 year = 52 weeks

Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?

Answers

Answer:

0.43 is the answer

Step-by-step explanation:

you need to take the total of action movie and divide it by the grand total.

204/478 ≈ 0.43

The  probability that a randomly chosen person from this group an action movie is 0.43.

What is probability?

Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.

Hence;

Probability of a male watching an action movie = 105/479

Probability of a female watching an action movie = 99/479

probability that a randomly chosen person from this group an action movie = 105/479 +  99/479 = 0.43

Learn mor about probability: https://brainly.com/question/14227610

Please help I will mark brainliest if you explain WHY the answer is that in simple terms. A thanks and brainliest!

Answers

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Use the points (100, 40) and (600, 5) and plug these into the formula:

[tex]m = \frac{5-40}{600-100}[/tex]

Simplify:

[tex]m=\frac{-35}{500}[/tex]

Since this is describing the rate of consumption, we can simply write the slope as:

[tex]m = \frac{35}{500}[/tex]

The question is asking for the rate of consumption over 100 km, therefore:

[tex]\frac{35}{500} = \frac{x}{100}[/tex]

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, what is the experimental probability that a group will include only boys? Based on the results of the simulation, what is the experimental probability that a group will not contain four boys? Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups.

Answers

9514 1404 393

Answer:

  a) P(boys only) = 6/100

  b) P(not boys only) = 94/100

  c) 20

Step-by-step explanation:

a) Six (6) of the numbers simulate groups of all boys: 7579, 6577, 5697, 9675, 5656, 6658. So, the experimental probability of a group being all boys is ...

  6/100 = 0.06

__

b) The other 94 groups do not include only boys. The probability that group will not contain four boys is ...

  1 -6/100 = 94/100 = 0.94

__

c) Nine (9) of the groups contain all girls. Based on these results, you would expect ...

  9/100 · 224 ≈ 20 . . . . groups to contain all girls

Answer:

9514 1404 393

Step-by-step explanation:

9/100 · 224 ≈ 20 . . . . groups to contain all girls


For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)

Answers

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

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