[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Finding the radius,
[tex]d = 2r, \: r = \frac{d}{2} = \frac{8}{2} = 4inches[/tex]
Plugging in our values,
[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} = \frac{4}{3} \times 3.14 \times 64 = 267.95 {inches}^{3} \\ [/tex]
Rounding to the nearest whol number,
[tex]v = 268 {inches}^{3} [/tex]
A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is approximately normal. A curious student randomly selects fifteen 20-ounce soda bottles from various retailers and carefully measures their content to see if the soda company is cheating the customers. The mean and standard deviation of the fifteen bottles is 19.4 ounces and 0.25 ounces, respectively. Which of the following is the test statistic for the appropriate test to determine if the average amount of soda that is contained in their 20-ounce soda bottles is significantly less than 20-ounces?ghtly news dropping? In a survey taken in 2013, 24 out of 40 adults surveyed responded that they had watched the local TV news at least once in the last month. In a similar survey in 2010, 40 out of 50 adults said they had watched the local TV news at least once in the last month. Is this convincing evidence that the proportion of adults watching the local TV news dropped between 2010 and 2013? For a significance test with the hypotheses where p1 is the proportion of all adults who watched the local news at least once a month in 2013, and p2 is the proportion for 2010, which of the following is closest to the standard error for the test statistic?
Answer:
A
Step-by-step explanation:
The appropriate inference procedure in this case is a one-sample t test for a mean. The test statistic for this test is [tex]t=\frac{19.4-20}{\frac{0.25}{\sqrt{n} } }[/tex].
The test statistic for this test is ;
t = 19.4 - 20/ 0.25/√n
What does "normal" describes in statistics?Normal usually refers to the word "normal" in normal distribution.
The word normal is used when something occurs that have occured frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.
We are given that 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is normal.
The appropriate procedure in this case is a one-sample t test for a mean.
The test statistic for this test is ;
t = 19.4 - 20/ 0.25/√n
Learn more about normal distribution here:
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Please help me with this question
Answer:
B 160 ft^2
Step-by-step explanation:
Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2
17. Find the volume of the figure below. 3 mm 9.7 mm 7.2 mm
Answer:
70.2
Step-by-step explanation:
The volume of the given figure will be 104.76 mm³. Volume is the product of the area of the length/height.
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the given figure is;
Volume=Area×Length
Area=(1/2)×9.7×7.2
Area=34.92 mm²
Volume=Area×Length
Volume=34.92×3
Volume=104.76 mm³
Hence,the volume of the given figure will be 104.76 mm³.
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The perimeter of a rectangular hall is 120m. If its breadth is 25m, find the length
Answer:
[tex] 35m [/tex]
Step-by-step explanation:
Given :-
The perimeter of a rectangular hall is 120m.Its breadth is 25m .And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,
Perimeter of rectangle :-
[tex]\implies Perimeter = 2( l + b)[/tex]
Let the length of the rectangle be x . Plug in the respective values ,[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]
Hence the length of the rectangle is 35 m .
Find the length of the third side of each triangle - Find Hypotenuse
Answer:
First one 28
Second one 53
Step-by-step explanation:
Using pythagoras theorem
Sqrt(24^2+7^2)=28
sqrt(45^2+28^2)=53
Given m GH =10 degrees and mEF = 73,
Find m2J.
I
Answer:
(EF-GH)/2=J
(73-10)/2=31.5=J
Step-by-step explanation:
Use the distributive property to wrtie the following expression 5 (x +Y)
Answer:
5x+5y
hope this helps
have a good day :)
Step-by-step explanation:
What is three and seventeen- thousands written in standard form
The sum of and 7x2 is 10x2.
Answer:
[tex]3x^2[/tex]
Step-by-step explanation:
Then add the value that you carried above the tens place. For example, for 96 x 8, multiply 8 and 9 to get 72. Then add the 4 that you carried to get 76. This will give you a final answer of 768.
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
Plz help me well mark brainliest!
How many units away are each of the points from the a y-axis?
A.3
B.4
C.6
D.7
B. 4
count the boxes from the point to the y axis, which would be 4
ignore my previous answer, i was confused, sorry.
Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line. What do you notice about the line connecting the point and the line to the original line?
Answer:
The shortest segment from the point to the line is perpendicular to the line.
Step-by-step explanation:
See the attached image. The blue segments go from the point to the line, but they are longer than the shortest such segment (red).
Help please!!! This is my last question
Answer:
c. 203
Step-by-step explanation:
The formula is A + [tex]\frac{1}{2}[/tex] p(s)
A=area of base
p=perimeter of base
s=slant height
So plug in the numbers: 49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.
There is a 40% chance that part of your summer this year will be spent on vacation. If there are 85 days of summer vacation, how many days will you be on vacation?
When a single fair die is rolled, there are six possible outcomes for the die: {1, 2, 3, 4, 5, 6}.
What is the probability that the number 4 is rolled?
You are not asking for a probability but just the number of different outcomes of differences. The range is 1 to 6 for each dice throw. The range of the differences are 0–5. Therefore, there are 6 different outcomes……0,1,2,3,4,5
Dawn weighs 80 pounds. Olivia weighs 48 ounces more. How much does Olivia weigh?
31, 680 divided by 45 I'm so confused
Answer:
704
Step-by-step explanation:
calculator
Answer:
31, 680 ÷ 45 = 704
Step-by-step explanation:
Why?
Slowly divide them and its better to use long method :-)
HOPE IT HELPS
(FROM CROSS)
Belle buys 80 pencils with fuzzy tops. She gives 4 to each of her 16 classmates. The expression for the number of pencils she has left is 80-(4-16). Complete each sentence to identify the parts of the expression.
Answer:
80÷(4÷16) = 20
Step-by-step explanation:
4÷6=4
4x4=16
80÷4=20
4x20=80
Multiple Choice Find
the value of x.
A 5 B 215
C 52 D 1
10
Answer:
5 x Square root:2
Step-by-step explanation:
6th grade, the problem solving is on the image, Thank you
Answer:
y=x+3
Step-by-step explanation:
when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b
y is the y value
m is the slope (change in y divided by change in x or, rise over run)
x is the x value
b is the y intercept (the y value where the line will touch the y axis/vertical line)
to make the equation
y=mx+b
y and x are variables so you dont need to write them
the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)
between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1
=1
when the slope is 1 you get
y=1x+b which is just y=x+b
then the y intercept
the first dot is touching the y axis line and it's y value is 3
y=x+3
hope this helps
The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.
Answer:
420 km
Step-by-step explanation:
75 times 5 = 375
75/10 = 7.5 times 6 = 45
375 + 45 = 420
10) 5 people in the neighborhood buy identical garage doors. There are 200 different codes available to open the garage
doors. What is the probability that any of the 5 neighbors have the same code?
How do you solve this problem
How do you solve the above ptoblem
Trapezoid A and trapezoid B as shown on the coordinate grid.
Describe three basic transformations on trapezoid A which show trapezoid B is similar to trapezoid A. In your response, be sure to identify the transformations in the order they would be performed.
Answer:
Step-by-step explanation:
The missing diagram showing the trapezoids is attached in the diagram below.
There are three stages by which trapezoid A must be transformed into trapezoid B.
We can see three fundamental differences as follows:
rotationsize locationAs a result, we will perform the following transformations:
Right off the bat, carry out an anticlockwise rotation of Trapezoid A 90 degrees from the origin.Then, to balance the size of the dimension, elongate by a scale factor of 1/3. (As can be shown, each side is three times larger after this move, and its base is at y = -2)Finally, a three-unit down translation is carried out.Factor the following expressions completely. Show and check all work on your own paper.
5x2-50x+125
PLEASE HELP ASAP I WILL MARK BRAINLIEST!!!
Find the volume of the cone.
12 cm
5 cm
V = [?] cm3
Answer:
≈314.16
Step-by-step explanation:
πr^2h /3 you use this formula and put in the values for r and h as 5 and 12 respectively and solve.
Hope this Helps!
The fan cost index represents the cost of four average price tickets
9514 1404 393
Answer:
soccer: $50.31hockey: $57.78Step-by-step explanation:
Let s represent the FCI for soccer. The given values tell us ...
s + (s +7.47) = 108.09
2s = 100.62 . . . . . . . . . . subtract 7.47
s = 50.31
s+7.47 = 57.78
The FCI for soccer was $50.31; the FCI for hockey was $57.78.
A pharmaceutical company produces three kinds of cold formulas: A, B, and C. it takes 1.5 hours to produce 1000 bottles of the Formula A, 2 hours to produce 1000 bottles of formula B. and 3 hours to produce 1000 n=bottles of formula C. The profits for each 1000 of Formula A, formula B, and Formula C is $100, $150, and $210, respectively. Suppose that for a certain production run. There are enough ingredients on hand to make at most 7000 bottles of formula A, 14000 of formula B, and 3000 bottles of formula C. Furthermore, suppose the time for the production run is limited to a maximum of 50 hours. They want to maximize their profit, P. in dollars. Which of the following is the correct objective function?
a. z= 100.11 + 150.x2 + 210x3
b. z =1000x1 + 1000x2 + 1000x3
c. z=700.01 + 14000x2 + 3000x3
d. z= 1.5x1+ 2x2 + 3x3
Answer:
z = 100*x₁ + 150*x₂ + 210*x₃
Step-by-step explanation:
Lyric a looks like there is a typing error in the first term ( 100.11 ) .
the right is 100*x₁
Plzzz help me well mark brainliest if correct .....????
Answer:
Third Grade!
Step-by-step explanation:
Hope you have a good day <3
Answer:
it's third grade:)
Step-by-step explanation:
just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!
How to find the equation of the curve?
Pls help me with this
Answer:
sin X=30 degree
cos X=30 degree
tan X=30 degree
cot X=30 degree
sec X=30 degree
Step-by-step explanation: