Answer:
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
Step-by-step explanation:
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.
This means that the null hypothesis is:
[tex]H_0: \mu = 10941[/tex]
A local power company believes that residents in their area use more electricity on average than EIA's reported average.
This means that the alternate hypothesis is:
[tex]H_a: \mu > 10941[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
10941 is tested at the null hypothesis:
This means that [tex]\mu = 10941[/tex]
To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:
This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]
[tex]z = 1.61[/tex]
Pvalue of the test:
Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.
Looking at the z-table, z = 1.61 has a pvalue of 0.9463.
1 - 0.9463 = 0.0537
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
4. What is the volume of the triangular prism
10 in
6 in
8 in
Answer:
V=480 in^3
Step-by-step explanation:
Use the formula
V=BxH
V=(60)(8)
V=480 in^3
Which is a true statement about the graph of Y= -1/3x -6?
A) The graph slants downward as you move from left to right.
B) The graph passes through the Y-axis at (0, 6).
C) The graph passes through the origin.
D) The graph does not pass through Quadrant II.
Answer:
A
Step-by-step explanation:
The slope is negative so the line is high on the left and low on the right, slanting downward
how do i find the polar form of
1-2i
Answer:
9
Step-by-step explanation:
Find the area of the triangle below.
Answer:
the area of this triangle is 5
Answer:
A = 5
Step-by-step explanation:
Solve
The area A of a triangle is given by the Formula; A = 1/2bh where b is the base and h is the height of the triangle.
Solution
A= hbb /2 =2·5/ 2=5
Simplify please
(n^11)^2
Answer:
n^22 (I love your profile picture by the way)
Step-by-step explanation:
Answer:
n^22
Step-by-nstep explanation:
because you would multiply the exponents so 11 x 2 is n^22
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Hello!
We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.
We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.
According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.
So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.
Hope this helps!
IXL question!!!! :geometry-tangent lines
pls help question in the pic
Answer:
Step-by-step explanation:
x-2=24 x=26
Jane had $d to buy three Beanie Babies. (In our problem, they all cost the same).
If she were to buy all three, she’d spend all her money. Instead, she bought just one.
How much money does Jane have left after buying the Beanie Baby? Brainliest to correct answer:)
Answer:
$2/3d
Step-by-step explanation:
since it says that if she were to buy all three beanie babies, she'd spend all of her money, this means that since she bought 1, she only used up 1/3 of her money, or $1/3d.
so, after buying the beanie baby, she has $2/3d left.
Please help I’ll mark you as brainliest if correct!
Answer:
oh, easy it’s 25:)
Step-by-step explanation:
Use the Distributive Property to simplify the expression: 9(5x - 3)
HEPPPPP
53 POINTS!!!!!!!!!!!!!
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2 * 2 * 5 * 5
Step-by-step explanation:
100 = 2 * 50
= 2 * 2 * 25
= 2 * 2 * 5 * 5
Tina walks 1/2 mile in each 1/3 hour.
What is Tina's walking rate?
6 miles per hour
5 miles per hour
3/2 miles per hour
16 mile per hour
Answer:
6 mile per hour
Step-by-step explanation:
Tina runs 3/2 miles in an hour and it is her walking rate.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Tina walks 1/2 mile in each 1/3 hour.
So, Tina's walking rate is the distance she runs in an hour which is,
In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Help please will mark brainliest!!!
Answer:
945
Step-by-step explanation:
Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
around the top of the room. The trim costs $0.06 per foot. How much will it cost Luna to buy
enough trim?
9514 1404 393
Answer:
$4.92
Step-by-step explanation:
The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.
There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...
P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft
The cost is then ...
cost = ($0.06/ft)(82 ft) = $4.92
It will cost Luna $4.92 to buy enough trim.
Pls answer just the answer
Answer:
588000
Step-by-step explanation:
if i am wrong pls tell me cause i think there's a different answer gl g
Answer:
$103,421.88
Step-by-step explanation:
Given:
P = 70000
r = 0.05
n = 1
t = 8
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]
find the value for x
Answer:
x = 6°
Step-by-step explanation:
Rule of vertical angles claims that the opposite angles ar the same
19x - 4 would be the opposite to 110
and 19x - 4 would equal 110
Lets form an equation
19x - 4 = 110
Evaluating
19x - 4+4 = 110 + 4
19x = 114
x = 114/19
x = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
jenny got sum chiken nuggies and she ate 4 and had 16 left how many nuggies did she have
Type the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=
Answer:
10 16
Step-by-step explanation:
when x= 0 h(x)=2x²-3x+10
⇒ h(0)=2*0²-3*0+10=10
when x= 4 h(x)=[tex]2^{x}[/tex]
⇒ h(4)=[tex]2^{4}[/tex]=16
The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].
Important information:
The given piecewise function is:[tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]
Piecewise Function:The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].
[tex]h(0)=2(0)^2-3(0)+10[/tex]
[tex]h(0)=10[/tex]
The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].
[tex]h(4)=2^4[/tex]
[tex]h(4)=16[/tex]
Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].
Find out more about 'Piecewise Function' here:
https://brainly.com/question/17966003
Can someone help me please?
Answer:
I love pizza math :P
Step-by-step explanation:
column 1 column 2
2/3 2/5
1/4 3/4
1/3 4/5
1/2 1/6
Is it time for pizza now? :P
PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is no C . I guess it should be C.There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
Answer: 25%
Step-by-step explanation:
Total pieces=20
apple pieces=5
=apple pieces/total pieces
= 5/20
for %age multipilying with 100
= 0.25×100
=25 percent
Write the equation for the line that passes through the points (3, 18) and (-3,0)
For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.
Answer: tThe total dinner bill with tip = $177.90
Step-by-step explanation:
Given: Dinner bill = $148.25
Tip percent = 20%= 0.20
Total dinner bill = Dinner bill + Tip percent × (Dinner bill)
Total dinner bill = $ (148.25+0.20×148.25)
Total dinner bill = $ (148.25(1.20))
Total dinner bill = $177.90
Hence, the total dinner bill with tip = $177.90
If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.
Step-by-step explanation:
Answer:
1/4 of 92 = 23 Hope this helps
help me please i will give you brainliest
Answer:
its b!
please brainliest
any app where I can take pics of WORD PROBLEMS and get answers
Answer:
well I know one you can try SOLVEITNOW
you can also try MICROSOFT MATH SOLVER
or CYMATH-MATH PROBLEMS SOLVER
someone please help me i’ll give you brainliest
Answer:
its b
can i have brain im about to level up
PLEASE HELP- VKLFNJOF:L
Answer:
−4m + 10
Step-by-step explanation:
Combine Like Terms:
= 6m + 10 + −10m
= (6m+−10m) + (10)
= −4m + 10
Hope it helped.
PLS HELP WILL GIVE BRAINLIEST
Answer:
32 percent
Step-by-step explanation:
8,000×400÷100