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.
Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
Answer:
KL= 17.67 unit
UE = 17.67 unit
Step-by-step explanation:
Given:
Diagonals
KL= h+7
UE = 4h-25
Find:
Length of diagonals KL and UE
Computation:
We know that in isosceles trapezoid the length of diagonals are equal
So,
KL = UE
h+7 = 4h-25
3h = 32
h = 10.67
So,
KL= h+7
KL= 10.67+7
KL= 17.67 unit
UE = 4h-25
UE = 4(10.67)-25
UE = 17.67 unit
Q2) A
farmer distributed an amount of Rs 56 among his two children in the ratio 3 :5 How much amount was received by each of them
[tex]\huge\mathfrak\purple{answer}[/tex]
[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]
(Mark me brainliest if you're satisfied with the answer :))
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
Answer these two correctly and I’ll reward 8 points + brainalist
Answer:
1. B.
2. C.
Step-by-step explanation:
1. It only has one cell so it needs to rely on other organisms in order for it to survive
2. Chloroplasts are only found in plants you can remember it by "Chloroplants"
Miss logan leaves school at 15:55 it takes her 1 hour and 20 mins to get home what time does she arrive home? answer using 24 hour time
Answer:
5:15
Step-by-step explanation:
15:55 = 3:55 in normal time
3:55 + 1 hr = 4:55
4:55 + 20 min = 5:15
i need help with everything please if you help you are a legend please.
2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.
3.
a. Closest to 1.
b. Closest to 0.
c. (1/12)
4.
a. Closest to 1.
b. Closest to (1/2)
c. (14/16)-(10/16)=(4/16)
What is the median of data set 32 25 25 32 32 10 -10 25
Answer:
-10, 10, 25, 25, 25, 32, 32, 32
Its 25
Step-by-step explanation:
The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two
I NEED HELP WORTH THIS there is one more option of 6,6 also
Answer:
C. (2,4)
Step-by-step explanation:
Can someone pls help me I’ll mark brainiest
Answer:
70%
Step-by-step explanation:
Because 100% - 30% = 70%
6+x=23 what is x in the equation
Simplify the expression: 5(-5 + 2y) =
which is the least -1 1/4 or -3/2
Answer:
-3/2
Step-by-step explanation:
100 - 50 + 4
HELP PLS PLS PLSSSSS
Answer:
54
Step-by-step explanation:
100-50+4=50+4
=54
.....
Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
one tube of paint?
calculate the GPA of a student with the following grades: B (3 hours), D (8 hours), C (18 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
Answer:
The GPA of the student is 1.83.
Step-by-step explanation:
We use a weighted average to solve this question.
We have the following grades:
B, which is equivalent to 3, with weight 3.
D, which is equivalent to 1, with weight 8.
C, which is equivalent to 2, with weight 18.
So
[tex]M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83[/tex]
The GPA of the student is 1.83.
Plss I need help
ASAP
Answer:
21x+56 %thats ur answer hope it worked !
Answer:
21x
Step-by-step explanation:
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Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
Does anyone know the answer??????
Answer:
i think its the 2nd choice but im not 100% sure
Pythagorean theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.
the picture is the question
Answer:
Swap the direction of the inequality
Step-by-step explanation:
Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <
A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 18 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
How many quarts are in two gallons?
2 gallons = 8 quarts
hope it's help ;3
The Gable Construction Corporation has placed bids for installing electronic message boards on two different highways.
Because of competition from other companies, Gable Construction Corporation officials estimate that the probability that
they will be awarded the Macon Expressway contract is 0.65 and the probability that they will be awarded the Seaview
Expressway contract is 0.43. Furthermore, the probability that they will be awarded both contracts is 0.22. What is the
probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Answer:
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Step-by-step explanation:
We solve this question using these events as Venn sets.
I am going to say that:
Event A: Awarded the Macon Expressway.
Event B: Awarded the Seaview Expressway.
Probability that they will be awarded the Macon Expressway contract is 0.65
This means that [tex]P(A) = 0.65[/tex]
The probability that they will be awarded the Seaview Expressway contract is 0.43.
This means that [tex]P(B) = 0.43[/tex]
Furthermore, the probability that they will be awarded both contracts is 0.22.
This means that [tex]P(A \cap B) = 0.22[/tex]
What is the
Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?
Only A:
[tex]P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43[/tex]
Only B:
[tex]P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21[/tex]
Either
0.43 + 0.21 = 0.64
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
The equation x = 1 is an example of linear but not function. Why?
Please this will determine if I pass
I need some help
I will give you brainliest and heart!
Answer:
Correct!
Step-by-step explanation:
First, I'll try to solve it myself.
2(2a-1)+3a=7a-2
7a-2
4a-2=7a-2
His is very correct!
more on fraction
21×5
Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
Can someone write down the answers pls!!!!!!!!!!
Step-by-step explanation:
6b x>=1
6c y>7
7a x>3
7b -2<=2x<6
-1<=x<3
answer:-1,0,1,2,3
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
([?], [ ]
Answer:
Step-by-step explanation:
To eliminate the x terms, first multiply the second equation by 3:
-3x + 6y = 24
then add it to the first equation:
3x + 5y = -2
-3x + 6y = 24
------------------
0x + 11y = 22
y = 2
plug the value of y into one of the equations:
-x + 2(2) = 8
x = 4-8 = -4
(x,y) = (-4, 2)