Answer:
The mean of C is 170 households
The standard deviation of C, is approximately 5 households
Step-by-step explanation:
The given parameters are;
The percentage of households in the United States that had a computer in 2014 = 85%
The size of the randomly selected sample in 2014, n = 200
The random variable representing the number of households that had a computer = C
Therefore, we have;
The probability of a household having a computer P = 85/100 = 0.85
Let
Therefore;
The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;
μₓ = 200 × 0.85 = 170
The mean of C = μₓ = 170
The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5
Therefore;
The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05
The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)
The mean and the standard deviation of C are 170 and 5.05 respectively
The given parameters are:
[tex]\mathbf{n = 200}[/tex] -- the sample size
[tex]\mathbf{p = 85\%}[/tex] -- the proportion of household that had a computer
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 200 \times 85\%}[/tex]
[tex]\mathbf{\bar x = 170}[/tex]
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{170 \times (1 - 85\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{170 \times 15\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{25.5}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 5.05}[/tex]
Hence, the mean and the standard deviation of C are 170 and 5.05 respectively
Read more about mean and standard deviation at:
https://brainly.com/question/10729938
What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6
What is y+3=7(x-2) written in standard form?
Answer:
7x-y=17
Step-by-step explanation:
Answer:
7x-y=17
Step-by-step explanation:
plzzzzz hurry i'm running out of time
The tree in Shen's backyard is 8.2 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
820 cm
Step-by-step explanation:
Since one meter is 100 cm, 8.2*100 is 820
Answer: 820
Step-by-step explanation:
1 meter is 100 centimeters
1 meter is 100 centimeters, 8.2 meters are 820 centimeters.
please help me with this!!!
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there and 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?
Answer:
Miles= 120
Step-by-step explanation:
Giving the following information:
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters.
First, we need to calculate the miles per liter:
Miles per litre= 480 / 60
Miles per litre= 8 miles
Now, the miles that can be driven with 15 liters:
Miles= 15*8
Miles= 120
3. If f(x) = 12x + 14, what is the range value for the domain value 3?
Answer:50
Step-by-step explanation:
You are given the domain value which is your "x".
So to solve the problem you fill x as 3
Making the equation f(x)=12(3)+14
12 * 3 = 36
36+14=50
There is your answer!
1. Show that the vertices A (7, 12) B (4, 7) and C (9, 10) of the triangle is an isosceles
triangle?
2. Show that the triangle whose vertices are A (6,1) B (10,9) and (6,7) is a right
angled triangle and find its area?
Answer:
A
Step-by-step explanation:
the vertices are also available
Can someone plz help me with this????
Answer:
since we cant see what info is given maybe these tips can help...
the 'b' is also called the y-intercept, the y-int is what you start of with. Example, if your parents give you $20 and you spend $5 every week, your y-int is 20
The m is the slope, so if your parents give you $20 and you spend $5 every week, your slope is -5 because your money is decreasing at a linear rate
the x is the input, so if you want to know how much money you have 2 weeks after you got $20, you would substitute x with 2, and solve to get $10
HELP please i'll give brainliest I only have until 3 to finish this
Answer:
B
Step-by-step explanation:
The ratios are 2:1
In the table it shows 4:2, 8:x, y:6, 20:z
To find if the ratios are equivalent we would need to plug in
Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1
Answer:
Its B
Step-by-step explanation:
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms?
A. 0.3745 kg
B. 3.745 kg
C. 37.45 kg
D. 374.5 kg
Passed with 100%
Tak
1.
Set up, but do not solve, an equation to
determine the value of x in the diagram
below.
3x-35
4x+40
find the two square roots of 400
Answer:
20 and -20
20^2 = 400
(-20)^2=400 since two negative is positive
Now first tell me whts 9.6- 26.8
but I already kno!
A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?
Answer:
0.04
Step-by-step explanation:
Brand A:
so x is equal to 0.24
Brand B:
so x is equal to 0.28
Now the difference of cost would be Brand B - Brand A which would give you 0.04.
1)There are whole numbers that are not integers.
true or false
2)All rational numbers are whole numbers.
true or false
3)All integers are whole numbers.
true or false
4)All integers are rational numbers.
true or false
Answer:
1).false 2). false 3).true 4). true
Step-by-step explanation:
1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.
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[tex]
1) \: \: \: \: False[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
2) \: \: \: \: False[/tex]
[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]
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[tex]
3) \: \: \: False[/tex]
[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]
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[tex]4) \: \: \: \: True[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Selena made pancakes for an all day breakfast fundraising event she made 132 pancakes in 4 hours Selena needs to make 264 more pancakes if she continues at the same rate how many hours will it take for Selena to make 264 more pancakes
Answer:
8 hours
Step-by-step explanation:
132 pancakes → 4 hours
264 pancakes → (4/132 x 264) hours = 8 hours
does 3^4 equal the same sum as 4^3
I need help with this question
Anyone know the answer
Answer:
18 deg
Step-by-step explanation:
pi in radians = 180 deg
180/10 would be 18
hope that helps
PLEASE HELP
In Exercises 1 and 2, identify the slope of the line. Then identify a point the line
passes through.
1. y - 2 - 4(x - 5)
2. y - 7 - -3(x + 6)
Answer:
1. Slope = 1/4
Point = ( 1, 1 )
2. Slope = -3
Point = ( 3, -20 )
Step-by-step explanation:
If you can, please help me! I'll give brainliest (if I can.)
Answer:
The intersection of the sets A, B, and C is Bird.
Set B contains Fish, Lizard, Turtle, Bird, and Dog.
5 is not more than x
Answer:10
Step-by-step explanation: 5 + x is 10 because x is a verable
The difference 3 1/2 minus 1 1/2 must be
between and
Answer:
2
Step-by-step explanation:
3 1/2 - 1 1/2 = 2
PLS GIVE BRAINLIEST
What is the binary number for 14
Answer:
Step-by-step explanation:
should be 1110
Answer:
1110
Step-by-step explanation:
Will give Brainliest and 50 points question above
Answer:
12.something units squared
Step-by-step explanation:
Answer:
12.something units squared
Step-by-step explanation:
help pls i didn't put the question fully on the last question:/
Find the decimal that is equivalent to: 17/12
A. 1.714
B. 0.583
C. 0.0583
D. 0.583 repeating
WILL MARK BRAINLIEST!! if the measure of angle CBD is 9(8x+11)°, then what is the value of x?
Answer: 72x+99'
Step-by-step explanation:
ALSO LOVE YOUR PROFILE PICTURE!!!!
4) Janet runs half a mile in 1/3 of an hour.
How many miles can she run in one hour?
How far can she run in 4 hours?
I
Answer:
5 miles
Step-by-step explanation:
11/12 - (-10)- 5/6 please help
Answer:
121/12 is the answer your welcome
please help. its on ratio.
Answer:
2/14, 1/7, 3/21, and 18/126
Step-by-step explanation: