Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:
X = 56:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{56 - 71}{15}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 71}{15}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at https://brainly.com/question/25769446
During a hurricane in Central Florida, the amount of rainfall R, in centimeters, is a function of time. Let R = f(t) define the amount of rain recorded by meteorologists beginning at midnight. Give an interpretation of the statements below, using the appropriate units.
A. (6) = 4.8
B. f'(6)=0.5
C. f(-1)(5) = 14
D. f(-1)'(5) = 1.5
The amount of rainfall is an illustration of inverse functions, and rates.
The function is given as: R = f(t)
(a) Interpret f(6) = 4.8
This means that:
The amount of rainfall at 6 seconds is 4.8 cm
(b) Interpret f'(6) = 0.5
f'(6) represents the rate of the function
So, this means that:
The rate at which rain falls at 6 seconds is 0.5 cm per second
(c) Interpret f^-1(5) = 14
f^-1(6) represents the inverse function
So, this means that:
The time at which 5 cm of rain falls, is 14 seconds
(d) Interpret f^-1'(5) = 1.5
f^-1'(5) represents the rate of the inverse function
So, this means that:
The rate of time when 5 cm of rain falls is 1.5 seconds per cm
Read more about functions, inverse and rates at:
https://brainly.com/question/15634149
I need right answer only please no link no bot
Answer:
[tex]972 \pi \: {in}^{3} [/tex]
Step-by-step explanation:
volume of container
[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]
In one week, a computer shop sold 13 laptop computers and
7 desktop computers. What was the ratio of laptop computers to all
computers that were sold in the week? Describe the ratio using words.
Answer:
13:7
Step-by-step explanation:
This ratio would be 13 laptop computers for every 7 desktop computers; 13:7
=
Given f(x) = 3x2 + 5x + k, and the remainder when f(x) is divided by
x + 3 is 29, then what is the value of k?
Answer:
the answer is k=2
Step-by-step explanation:
math
solve this pls lol
Answer:
The two triangles are related by congruent angles/similarity, so the triangles are similar.
Have an awesome day! :D
How would the numbers -40, 0, and 40 appear on a horizontal number line?
A. 0 on the left end, -40 in the middle, and 40 on the right end
B. 0 on the left end, and both 40 and -40 on the right end
C. 40 on the left end, 0 in the middle, and -40 on the right end
D. -40 on the left end, 0 in the
middle, and 40 on the right end
SUBMIT
Check the picture below.
how do i do this?
y=- 1/2x + 3
Answer: y-intercept would be (0,-1/3)
Step-by-step explanation:
I might be wrong
20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION
Mark me as Brainliest Please
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?
Answer:
303 miles per hour
Step-by-step explanation:
7x when x=3
Please help
Answer:
21
Step-by-step explanation:
7x, x=3. Plug x in as 3. 7x3=21.
3x + 5.5 < 20.5
please help
Answer:
x < 5
Step-by-step explanation:
[Given] 3x + 5.5 < 20.5
[Subtract 5.5 from both sides] 3x < 15
[Divide both sides by 3] x < 5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Help I offer all of my points
Answer:
100 bags
Step-by-step explanation:
You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.
60 + 30 = 90
90 + 10 = 100 (BRAINLIEST PLEASE OvO)
1. Reducing the original price of an item is often called
discounting
selling
bartering
originating
PLEASE HELP!!!!!!!! PLEASE DON’T SEND LINK(S). LOOK AT THE PICTURE HAS ALL THE INFORMATION.
Answer:
5
Step-by-step explanation:
50÷5=10-5=5
wished it helped.
what is the slope of the line of (8,10) (-7,14)
The answer is : -4/15
Answer:
-4/15
Step-by-step explanation:
slope is simply the rise over the run which is the change in y over the change in x.
( (y_2) - (y_1) ) / ( (x_2) - (x_1) )
if you plug in your variables that gives you
(14-10) / (-7-8)
which equals
4/-15
- (4/15)
what is 10 2/1 divided by 2 1/4
Answer:
5.3 but the three is repeated
Step-by-step explanation:
Answer:
[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]
Penjelasan
[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]
[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]
[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]
Then the answer is 48/9
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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
QUICKEST 100 POINTS EVER!
Answer:
D. 25x⁴ + 30x³ + 29x² + 12x + 4Step-by-step explanation:
(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4Correct choice is D
Answer:
D. 25x⁴ + 30x³ + 29x² + 12x + 4
Step-by-step explanation:
(5x² + 3x + 2)² =
(5x² + 3x + 2)(5x² + 3x + 2) =
5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =
25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =
25x⁴ + 30x³ + 29x² + 12x + 4
Complete the Statement
triangle JKL is congruent to triangle TRS
cuanto es 3/5 menos 1/2
Answer:
1/10
Step-by-step explanation:
(3/5) - (1/2)
3/5 = 3*2/ 5*2 = 6/10
1/2 = 1*5/ 2*5 = 5/10
(6/10) - (5/10)
= (6-5) / 10
= 1/10
At a birthday party, 20% of the guests wear glasses.
If there are 30 guests, how many wear glasses?
Answer:
if 100% =30 guests what about 20%=6%
its a joke but how come hotdog buns are pact in 8 and hotdog meat is pact in 10
Answer:
every 5 bun packs : 4 hotdog meat pack
5:4
Step-by-step explanation:
I need help on this please help
Answer:
4
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4
Write the equation of the line graphed below in slope-intercept form.
a. y = 3x +12
b. y = 12x + 3
c. y = 2x + 3
d. y=12x
Answer:
C
Step-by-step explanation:
c. y = 2x + 3
first you need to find the y-intercept which is 3
and then the slope rise/run which is 2 so y = 2x + 3
How can I divide 7.86 divide by 0.2
Answer:
39.3
Step-by-step explanation:
pa brainliest
Need help! attachment below. will give brainlist
Answer:
In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .
Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).
Step-by-step explanation:
Hope it helps!
Multiply or divide. write fractions in simplest form.
2/3 * (-2 1/4) * (-1 1/2)
i really need help with this problem! i will mark you brainliest :)
Step-by-step explanation:
Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).
2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.
-2 1/4 = -9/4 = -2.25
-1 1/2 = -3/2 = -1.5
then we set up the problem
0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.
julieta drew the triangle that is shown below. julieta rotated the triangle 180 degrees clockwise about the origin. what is the new triangle?
Step-by-step explanation:
The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ABC
Now , the coordinates of the triangle ABC is
The coordinate of A = A ( 1 , 1 )
The coordinate of B = B ( 3 , 2 )
The coordinate of C = C ( 2 , -2 )
Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
Substituting the values in the equation , we get
The rotated triangle will have the coordinates A'B'C'
The coordinate of A' = A' ( -1 , -1 )
The coordinate of B' = B' ( -3 , -2 )
The coordinate of C' = C' ( -2 , 2 )
Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )
To learn more about rotation click :
https://brainly.com/question/3956347
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Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?
write 2^ 100 as a power with the following base of 16 brianly.
Pls answer quickly
Answer:
16^25
Step-by-step explanation:
The applicable relation is ...
(a^b)^c = a^(bc)
2^100 = 16^x = (2^4)^x = 2^(4x)
Equating exponents, we have ...
100 = 4x
25 = x
Then 2^100 = 16^25.