Answer:
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal Variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:
This means that:
[tex]\mu_G = 15[/tex]
[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]
The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:
This means that:
[tex]\mu_E = 13.4[/tex]
[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]
Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
Shape is approximately normal.
Mean:
[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]
Standard deviation:
[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]
So the correct answer is given by option b.
What is the answer plz
Answer:
A = 180m²
Step-by-step explanation:
To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.
1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)
6999999 huhuijuu harder daddy
Area = 120 yd"
- 10 yd
Find the Height
Please help me
Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.
Which inequality can be used to find the possible values for d?
Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
The length of a cut board in a sawmill should be within 2% of the board’s length. Write an absolute value inequality that describes the length L of an acceptable board with an official length of 12 feet. Solve the inequality and summarize the answer using a complete sentence.
Answer:
d
Step-by-step explanation:
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7)
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that [tex]a = 50, b = 52[/tex]
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.
[tex]P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1[/tex]
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Help
Select all that apply
Answer:
A, D
Step-by-step explanation:
It's basic math, height times length = Area.
Answer:
A and D are the only ones that i can see that would be correct
Step-by-step explanation:
What is the total interest paid on an $185,000 loan at 6.25% APR over 15 years (monthly payments)?
Answer:
Total Interest $100,522
Step-by-step explanation:
Answer:
$100,522
Step-by-step explanation:
anime recommendations
Answer:
what genre babe♀️
Answer:
It depends on a lot what kind you like and if u have watched a lot
the promised Neverland
Black Clover
Aot
HxH
Monster
Code grass
The classroom of the elite
Psycho pass season 1 only
COMEDY
The disastrous life of saiki k
Kaguya sama love is war
how do I find the distance between (3,4) and (5,4)
Answer:
2
Step-by-step explanation:
the y values are the same so you just have to subtract the biggest x value from the smallest x value
5-3=2
Find the area of the triangle using Pythagorean theorem
Answer:
48
Step-by-step explanation:
Remark
Use a^2 + b^2 = c^2 to solve for the height.
Givens
c = 10
b = 6
h = ?
Solution
b^2 + h^2 = c^2
6^2 + h^2 = 10^2
36 + h^2 = 100 Subtract 36
h^2 = 100 - 36
h^2 = 64 Take the square root of both sides
sqrt(h^2) = sqrt(64)
h = 8
The height = 8
Area = 1/2 * b * h
Area = 1/2 *12 * 8
Area = 48
Comment
You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12
This is a Maths Question ❓ for you
Show your brain power...
Answer:
a. a/400=6/25
a=6×400/25=16×6=96
Step-by-step explanation:
b.5b/8=2/5
5b=2×8/5
b=16/5×1/5=16/25
What is the percentage of data between 90 and 140?
Answer:
50%
Step-by-step explanation:
help!! will mark brainliest
use the following coordinate plane to write the ordered pair for each point.
Answer:
A (-2.5,0)
b(3,3)
c(1,-4)
Step-by-step explanation:
Find the distance between (-2, -3) and (-2, 4).
I will give brainly thing if I figure out how to do it
Answer:
7
Step-by-step explanation:
-2, -3 and -2, 4 have the same x coordinate, so you only need to find the difference between -3 and 4.
Hannah does push-ups in sets of three she did 10 sets of push-ups today then her coach asked her to do 15 more push-ups how many push-ups did Juana do today
Answer:
30+ 15 =45
Step-by-step explanation:
(3×10)+15 =45
Copy machine makes 44 copies per minute. How long does it take to make 231 copies?
Answer:
5.25 minutes
Step-by-step explanation:
Ted invests $6,082 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
Answer:
$11468.52
Step-by-step explanation:
Given data
Principal= $6,082
Rate= 5%
time= 13 years
The expression for compound interest is
A= P(1+r)^t
substitute
A=6082(1+0.05)^13
A=6082(1.05)^13
A=6082*1.885649
A=11468.52
Hence the Amount is $11468.52
What is the perimeter of the larger triangle
18
b) 45
d) 36
Answer:
36
Step-by-step explanation:
its x2 for the missing length of the original once you have it add it all up.
4 5/6 + 5 7/8 please help asap tysm
Answer:
the answer to the question is 10 17/24
What is the value of the angle marked in red?
Answer:
45 degrees
Step-by-step explanation:
There are 8 sides and assuming the figure is regular, 360/8 = 45 degrees
Answer:
45°
Step-by-step explanation:
360/8=45°
With
Sue buys a car costing £8000 plus
20% VAT.
She pays £4000 deposit and then
chooses to pay the balance in ten equal
monthly payments.
Calculate each monthly payment
CS
Answer:
Each monthly payment is of £560.
Step-by-step explanation:
Sue buys a car costing £8000 plus 20% VAT?
She has to pay:
8000 plus 20% of tax. So
[tex]T = 8000 + 0.2*8000 = 9600[/tex]
She pays £4000 deposit and then chooses to pay the balance in ten equal monthly payments.
4000 deposit, and then 9600 - 4000 = 5600 divided in ten equal monthly payments.
5600/10 = 560
Each monthly payment is of £560.
2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem
A triangular prism has a volume of 400 cubic inches. The area of base is 25 square inches What is the height of the prism?
12cm and 8 cm find the ratio and reduce them in term of lowest term
Answer:
very good im famous biol How to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerigist
Step-by-step explanation:
i need help plzzzzzzzzzz
Answer:
I think c
Step-by-step explanation:
10 points!! Will mark brainliest. No question just tell me more about Area of Composite Figures and how to find it. I will report If answer is unrelated.
Answer:
To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
im so confused
Answer:
A) 216 in²
Step-by-step explanation:
2(1/2)(6)(4)=24
2x5x12=120
6x12=72
24+120+72=216
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picking
a green or blue marble out of the bag?
A)
0
B)
1
10
09
2
D)
7
10
Answer:
EX :A jar contains 10 red marbles, 4 white marbles, and 2 blue marbles. Two ... To solve this question, you can solve for the probability of choosing 2 marbles that are pink and ... There are two even numbers and three odd numbers, so P (even) = 2/5 and P (odd) = 3/5. ... In a bag, there are 10 red, 15 green, and 12 blue marbles.
Step-by-step explanation:
Compare the graphs of the functions listed below.
Function 1: y = 0.25x2
Function 2: y = 4x2
Function 3: y = -½x2
Function 4: y = -16x2
The graph of is the widest.
Answer:
The graph of FUNCTION 1 is the widest.
Step-by-step explanation:
So sorry lolll. But this is definitely right