Answer:
A. Homes using solar power always have lower utility bills than homes using only gas and electricity.
Step-by-step explanation:
Gas and Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
Bills: 56, 54 and 51
Required
Determine which of the statements is true
First, we calculate the mean of the given data
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{56 + 54 + 51}{3}[/tex]
[tex]\bar x = \frac{161}{3}[/tex]
[tex]\bar x = 53.67[/tex]
Then, the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}[/tex]
[tex]\sigma = \sqrt{\frac{12.67}{3}}[/tex]
[tex]\sigma = \sqrt{4.223}[/tex]
[tex]\sigma = 2.05[/tex]
So, we have:
Gas or Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
[tex]\bar x = 53.67[/tex]
[tex]\sigma = 2.05[/tex]
By comparison.
The mean and standard deviation of homes using solar panel is less than home using gas and electricity.
This implies that: (a) is true.
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
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 higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
If a square has an area of 25x², write an expression for the length of one side.
:)
Since all sides of a square are the same, the area of a square is one side squared.
Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.
The opposite is to square root the area. If you calculate the square root of 16, you get 4.
In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.
Easy as that, you get your answer!
5x
Please help
Look at picture
Answer:
J = 2
Step-by-step explanation:
Volume formula: V = whl (width)(hight)(lenght)
solve for J (width)
Rearrange the formula:
w = V/lh
60/5 x 6 = 2
Complete please! All of them
Answer: #1: 15/12 aka 1 3/12 #2: < #3 11/9 aka 9 2/11
Step-by-step explanation: Hope it helps ya
the measures of the angles of a triangle are shown in the figure below. solve for x
Answer:
Brainliest????
Step-by-step explanation:
X=23°
Should I do any programs in middle school? Will it benefit me in college or is it a waste of time?
Answer: Honestly, they wouldn't really look at your clubs and attendance for sports for Middle School. They would most likely check for High School and beyond that.
I would just have fun while you can. Or try getting into a good High School with good academics scoring for a good chance to get selected to a dream college. Hope this help!
Edit: If there's programs for college- then try taking them! But I doubt it'll catch the eyes of those who look through college applications for how strict they are.
Answer:
you actually should its way better that you do because joining all the clubs they have in school can help YOU and your record.
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
C [ -1 ,1 ]
.............
45,678 in unit form
how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60
Answer:
6y = 12x + 36 is x= 1 /2 y−3
15y = 45x + 60 is x= 1 /3 y+ −4 /3
Step-by-step explanation:
If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes
Answer:
58
Step-by-step explanation:
PLEASE HELP ME OUTTT
A certain polygon has its vertices at the following points.
(2,4), (4,5), (6,4), and (4,3)
What is the best description of this polygon?
OA. pentagon
OB. rectangle
OC. square
OD. rhombus
Worth 30 points plzzzzz help quick I will report if you put anything
Answer:
D
Step-by-step explanation:
d
Answer:
[tex]\huge\boxed{\sf Rhombus}[/tex]
Step-by-step explanation:
When we plot the given vertices on a graph, We get a shape which has the following characteristics.
=> Opposite angles are equal.
=> The diagonals are perpendicular to each other.
=> Opposite sides are parallel to each other.
=> Sum of adjacent angles in equal to 90 degrees.
But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.
See the attached file!
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.
Answer:
4:7
Step-by-step explanation:
The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.
please help right now
Step-by-step explanation:
[tex] \sqrt{26} is \: between 5.0and5.1[/tex]
Suppose that a company claims that its batteries last 240 hours on average.
It took many large samples, and each time the mean number of hours was
outside the 95% confidence interval. Based on this information alone, which
of the following is probably not the mean number of hours that the company's
batteries last?
A. 235
B. 240
C. 230
D. 225
help asap
Answer:
The answer is option B. 240
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase. How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)
Answer:
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
20% of the residents in a certain state support an increase in the property tax. Sample of 400.
This means that [tex]p = 0.2, n = 400[/tex]
Mean and standard deviation:
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]
How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?
This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So
X = 0.24
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 0.16
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
A worker at a mill is loading 8 lb bags of flour into boxes to deliver to a local warehouse. Each box holds 5 bags of flour. If the warehouse orders 2 tons of flour how much are needed to fulfill the order?
Answer:
100 boxes i think :))
Step-by-step explanation:
can you help thanks
please help must equal 180
Solve for x.
x = [?]
2x + 9
8x + 1
A 2p coin has a radius of 1.3 cm
A 1p coin has a diameter of 1.8 cm
Which coin has the greater area?
Answer:
hello! As I think it is 2p coin but not sure
Which transformation should be applied to show similarity?
Please help me with my homework
Answer:
0.8
Step-by-step explanation:
0.4*2=0.8
hope this helps.
Help please!!!!!! I don't have a lot of time
Answer:
Its 5,...................
Answer:
5
Step-by-step explanation:
simplify the exponent
35/8-1
simplify
35/7
simplify
5
HELP PLZ, 100 points!!!
hope it helps you ❣️
Answer:
10.25%
Step-by-step explanation:
Let the original number be represented with x.
Increase by 5% = 5% of x = 5/100 x X = 0.05x
So, the next number = x + 0.05x = 1.05x
Increase again by 5% = 5% of 1.05x = 5/100
x1.05x = 0.05 x 1.05x = 0.0525
So, the current number = 1.05x + 0.0525x =1.1025x
[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]
abc~def what sequence of transformation will move ABC onto def
Answer:
c
Step-by-step explanation:
Answer:
is C guys
Step-by-step explanation:
A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer?
Answer:
the boa is longer
Step-by-step explanation:
Answer:
the boa
Step-by-step explanation:
3 Meters,100 cetimeters to a meter so 196 is inder 20 meters.Hope thos helped
dirk sold 7 more than 2 times as many gym memberships this month than last month. this month he sold 43 memberships
Answer:
14.5
Step-by-step explanation:
I am smart
Answer:
18 memberships
Step-by-step explanation:
2x+7=43
I think this is the equation but I'm trying to help
I don't understand ....the teacher gave us this question with a diagram ... if you get it correctly I will mark you as the brainlist ❤️
Answer:
I think the answer is a I think
resulve las siguientes operaciones matematicas en tu cuadernk
Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.
help please !!! will give brainliest
Answer:
x=-1
Step-by-step explanation:
(15-6+12+x ) / 4 = 5
20 = 27-6+x
20=21+x
x=-1