Answer:
21cm3
Step-by-step explanation:
Find ECD
E
-D
C
31°
A
B
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
Given the trapezoid below, Peter and
Christine each wrote different expressions to
find its perimeter.
w+2
4
4
6
Peter's expression: 6 + 4+ (w + 2) + 4
Christine's expression:
W + 16
Who is correct? Explain.
O Only Christine is correct.
O Only Peter is correct.
Both Christine and Peter are correct.
O Neither Christine or Peter is correct.
Vi
Answer:
Both.
Step-by-step explanation:
The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.
The perimeter of the trapezium Given below is :
(4 + 6 + 4 + w + 2)
Evaluating both expressions :
Peter = 6 + 4 + (w + 2) + 4
Christine's expression = w + 16
From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides
As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term
Hence, both are correct
Answer:
both of them are correct
Step-by-step explanation:
Find the common difference of the arithmetic sequence -2, -4, -6, ...
Answer:
-8
in this the arthmatic difference is table of 2
Answer:
the common d/f is that -2>-4>-6
There are 196 people in
the Snow Bunnies Ski"
Club. They are taking
buses to Colorado
Each bus holds 60 peo-
ple. How many buses
are needed?
Answer:
they need 4 buses
60+60+60=180 that does not get you to 196 so you would add 1 more bus
which equals 4 buses
What is 3^2/3 equal to
Answer:
3
Step-by-step explanation:
3^2=3×3=9
9/3=3
hope this helps
Answer:
The correct answer is 3.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!!
Approximate 218.16 to the nearest tens.
Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)
The owner of a pizza restaurant in France knows that the time customers spend in the restaurant on Saturday evening has mean 90 minutes and standard deviation 15 minutes. He has read that pleasant odors can influence customers, so he spreads a lavender odor throughout the restaurant. Presented are the times, in minutes, for customers on the next Saturday evening.
Answer:
hello your question is incomplete attached below is the missing part
Question : What is the value of the test statistic
answer : = 5.73
Step-by-step explanation:
Mean value = 90 minutes
std = 15 minutes
Calculate the test statistic
mean value of given data = ∑ x / n = 105.7
since the value of standard deviation is given we will assume a normal distribution
Hence we will apply z test statistics
z = mean value of given data - Mean value / 15 √30
= ( 105.7 - 90 ) / 15 √30
= 5.73
Input the values into the formula below
to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)
Answer:
The 8th term = -4,096
Step-by-step explanation:
Given:
¼, -1, 4, -16, . . .
Required:
8th term of the sequence
Solution:
1st term = ¼
Common ratio = -1/¼ = 4/-1 = -16/4 = -4
Desired term = 8
Plug in the values into the formula given:
[tex] \frac{1}{4} * -4^{(8 - 1)} [/tex]
[tex] \frac{1}{4} * -4^{7} [/tex]
[tex] \frac{1}{4} * -16,384 [/tex]
[tex] \frac{-16,384}{4} [/tex]
= -4,096
Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.
The height of the prism is _____ inches,square inches,cubic inches
Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)
Answer:
285 ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:
A parallelogram with the following dimensions
base = 15
height = 7
and a trapezoid with the following dimensions
base 1 = 11
base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)
height = 15
Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure
For the parallelogram
The area of a parallelogram can simply be found by multiplying the height and the base
So A = 15 * 7
15 * 7 = 105 so the area of the parallelogram is 105 square feet
For the Trapezoid
The area of a trapezoid can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height
So using the information that we had found about the trapezoids dimensions we plug in the values
[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]
So the area of the trapezoid is 180 square feet
Finally we add the areas of the two regular figures
180 + 105 = 285
so we can conclude that the area of the composite figure is 285 ft²
Y=-3x+5. Fill in the table using this function rule
X Y
1 8
2 11
3 14
4 17
5 20
6 23
7 26
8 29
9 32
10 35
11 38
12 41
13 44
14 47
15 50
16 53
17 56
18 59
19 62
20 65
Which ordered pair is on the x axis?
Answer:
0,0
Step-by-step explanation:
A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm's sales regions. An analyst noticed that in the South Atlantic region the average retial price was $165 (mean) and the standard deviation was $30. However, in the Mid-Atlantic region the mean price was $170, with a standard deviation of $15. What do these statistics tell us about these two sales regions
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
South Atlantic region :
Mean price = $165
Standard deviation = $30
Mid-Atlantic region :
Mean price = $170
Standard deviation = $15
Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;
$165 < $170
However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.
A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?
Answer:
3/10
Step-by-step explanation:
then after reducing you get 3/10
The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have a rectangular plaza that measures 3/8 mile by 4/5 mile.
Here the length L = 3/8
And width W = 4/5
Area of rectangular plaza = L×W = (3/8)×(4/5)
= 12/40 square miles or
= 0.3 square miles
Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
Learn more about the rectangle here:
https://brainly.com/question/15019502
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The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
can someone help me? please!!!
Answer:
Down below
Step-by-step explanation:
i'm gonna break it down into two parts.
Half-circle
[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]
Square
[tex]A=bh\\A=16*16\\A=256[/tex]
now to get it all we add them
[tex]A=100.48+256\\A=365.48[/tex]
The average temperature for four days was 22°. What must the temperature be on the fifth day in order to make 23° the temperature for the five days?
Answer:
27°C
Step-by-step explanation:
Average temperature on 4 days
[tex] = \frac{total \: temperatures \: for \: 4 \: days}{4} [/tex]
Total temperatures for 4 days
= 4(22)
= 88
If the average temperature throughout 5 days is 23°,
total temperature for 5 days
= 5(23)
= 115
Temperature on the 5th day
= total temperatures for 5 days -total temperature for 4 days
= 115 -88
= 27°C
lang atino
Determine whether a triangle can be formed with the
5. 10 ft, 3 ft, 15 ft
The roots of the equation 2x^2 + 4= 9x are imaginary?
The final statement is: The quadratic equations has real roots.
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: 2x²+4-9x=0
2x²-9x+4=0
2x²-8x-x+4=0
2x(x-4)-1(x-4)=0
(2x-1) (x-4) =0
Therefore the roots of the equation are 1/2 and 4 which are not imaginary.
Hence, The quadratic equations has real roots.
Learn more about quadratic equations here:
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can you guys please help me this has to be turned in by 1 !!
Answer:
For 5. The answer is 55% of 60 is less than 60% of 65 because 55% of 60 is 33. And 60% of 65 is 39
For 6. 20% of 80 is equal to 80% of 20 because 20% of 80 is 16. And 80% of 20 is also 16
What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751
Answer:
the answer is A) 59, 681
Step-by-step explanation:
all you have to do is subtract
so 95,216 - 35,535= 59,681
hope i helped
-lvr
PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!
Answer:
H. 39.6
Step-by-step explanation:
i promise this is the right answer!
there is a mean, mode, range etc. calculator that can help you!
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
The "middle" term of the trinomial form of (3x + 5)(4x – 3)
is:
29x
- 3x
O 11x
0 2x
I want the answer the steps
Answer:
The "middle" term is 11x.
Step-by-step explanation:
(3x + 5)(4x - 3)
Solve this by using FOIL: first – outer – inner – last
F: 3x • 4x = 12x²
O: 3x • -3 = -9x
I: 5 • 4x = 20x
L: 5 • -3 = -15
Combine the terms.
12x² - 9x + 20x - 15
Combine like terms.
12x² + 11x - 15
The "middle" term is 11x.
Hope this helps!
What is 12% of 50?
ОА.
6
ОВ.
7
Ос.
10
OD.
12
Answer:
a 6
Step-by-step explanation:
can i have brainlest
Mark, Anthony, and Derek, are going on a road trip and will take turns driving the car. They need to decide who will drive first.
Which method assures that each of the three friends has a fair chance of being selected to drive first?
O A. "Using a random number generator, generate an integer. If the number is negative, Mark drives first. If the number is positive,
Anthony drives first. If the number is 0, Derek drives first.
OB.
Flip two fair coins. If both coins land on tails, Mark drives first. If both coins land on heads, Anthony drives first. If one coin
lands on tails and the other lands on heads, Derek drives first.
O C. Spin a spinner with four equal-sized sections labeled A, B, C, and D. If the spinner lands on A, Mark drives first. If the spinner
lands on B, Anthony drives first. If the spinner lands on C, Derek drives first. If the spinner lands on D, Mark drives first.
OD. Roll an ordinary die. If the die lands on 1 or 4, Mark drives first. If the die lands on 2 or 5, Anthony drives first. If the die lands
on 3 or 6, Derek drives first.
Answer: Option D
Step-by-step explanation:
I got it right on Edmentum/Plato
In a nationally representative sample of 1,668 adult Americans, 930 indicated that they had checked their credit score within the last 12 months. Suppose of the 930 people that had checked their credit report within the last 12 months, 37% had done so as part of their regular financial planning. Does this provide convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning
Solution :
The one sample proportion summary hypothesis test is :
p : proportion of successes
[tex]$H_0: p = 0.33 $[/tex]
[tex]$H_a : p > 0.33$[/tex]
The hypothesis test result by using the statistical software is :
Total = 930
Sample proportion = 0.37
Standard error = 0.0157
Z-stat = 1.697
P- value = 0.0448
Therefore, the hypothesis [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex] is correct.
And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.