Answers
The volume of the sphere is 22/ 336 cubic units
How to determine the volumeThe formula for volume of a sphere is expressed as;
Volume = \(\frac{4}{3} \pi r^3\)
Where;
π = 22/ 7radius, r = 1/ 4Substitute the values into the formula;
Volume = 4/ 3 × 22/ 7 × (1/ 4)³
Volume = 4/ 3 × 22/ 7 × 1/ 64
Multiply through
Volume = 88/1344
Volume = 22/ 336 cubic units
Thus, the volume of the sphere is 22/ 336 cubic units
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Related Questions
Uppose there are three pipes filling a tank. The first pipe can fill the tank in 5 hours. The second pipe can fill the tank in 8 hours. The third pipe can fill the tank in 11 hours. How much of the tank can the first pipe fill in one hour? how much of the tank can the second pipe fill in one hour? how much of the tank can the third pipe fill in one hour?
Answers
Answer:
Step-by-step explanation:
Merlin and kay are both 69 years old and married. compared with karin and bill, who are 37 years old and married, merlin and kay probably:______.
Answers
Merlin and kay are both 69 years old and married. compared with Karin and bill, who are 37 years old and married, merlin and kay probably have a reduced potential for conflict.
What is the potential for conflict?A potential conflict of interest is defined as a situation that, based on circumstances that are reasonably expected to occur in the future, may result in a conflict of interest as defined in these regulations.Consider a manager who was promoted from a job where he collaborated with his wife. Because of the promotion, he became his wife's boss, creating a conflict of interest. After consulting with the couple and HR, the company may decide to transfer her to another department. Merlin and Kay, for example, are both 69 years old and married. Merlin and Kay have a lower potential for conflict than Karin and Bill, who is 37 years old and married.Therefore, Merlin and kay are both 69 years old and married. compared with Karin and bill, who are 37 years old and married, merlin and kay probably have a reduced potential for conflict.
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What is the mode of the data set: 17,13,18,20,17,15,12
Answers
Answer:
17
Step-by-step explanation:
17 is the most frequent number showing in the set.
Step-by-step explanation:
Mode = Most frequently occurred data
Mode = 17 (as 17 occurred 2 times in the given set of data)
Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 4 laps on a running trail and then runs 8 more miles. On Tuesday and Sunday, she runs 6 laps on the trail and then runs 4 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Lilliana runs ??? laps on Saturday.
Answers
Answer: 17 3/4
Step-by-step explanation: because yes
Answer:
Actualy 17 3/4 is incorrect ( she actualy ran 8 laps on saturday)
Step-by-step explanation:
I dont feel like typeing out my math but i am correct because I had this same question on my homework.
Simplify 3+4y-y(9-2y)+5
Answers
Answer:
2y^2-5y+8
Step-by-step explanation:
that the answer :)
Answer:
2y2−5y+ 8
Step-by-step explanation:
x + y = 2, -2x + 4x = 2
System of Equations
Answers
Answer:
\( - 2x + 4x = 2 \\ 2x = 2 \\ x = 1 \\ \\ 1 + y = 2 \\ y = 1\)
Answer:
\(x=1\\y=1\)
Step-by-step explanation:
Solve by substitution:
\(x+y=2\\-2x+4x=2\)
\(2x=2;x+y=2\)
Solve \(2x+2\) for x:
\(2x=2\)
\(x=2/2\)
\(x=1\)
Substitute 1 for x in \(x+y=2\)
\(x+y=2\)
\(1+y=2\)
\(y=2-1\)
\(y=1\)
\(x=1\) & \(y=1\)
hope this helps...
During a class trip to an apple orchard, a group of
students picked 2436 apples. They packed them into
6 boxes to take to the local food bank. If each box
held the same number of apples, how many apples
were in each box?
2) 46
3) 460
4) 406
5) 14,616
Answers
4)406
We just divide the total number of apple which were 2436 divided by the number of boxes which was 6, that’s how we get the answer as 406.
The answer is 406 apples.
2436 apples divided by 6 boxes gives you the number of apples in each box.
What system of inequalities is shown in the graph?
A. x 2x + 3
B. x 3x + 2
C. x ≤ −1 and y ≤ −0.4x + 2
D. x ≤ −1 and y ≤ −2x + 2
Answers
3. there are two economy parking lots at the richmond international airport (ric). shuttle buses from these lots arrive at the ric terminal according to a poisson process with a mean of 10 buses per hour. (a) what is the probability that only one bus will arrive within a thirty-minute period?
Answers
The probability that only one bus will arrive within a thirty-minute period is 0.0337
We can model the arrival of shuttle buses as a Poisson process with a rate of λ= 10 buses per hour. Since we want to find the probability of only one bus arriving within a 30-minute period, we need to calculate the Poisson probability mass function for λ = 5 (since 30 minutes is half an hour):
P(X=k) = ( λ^k × e^- λ ) / k!
where X is the number of shuttle buses arriving within the 30-minute period
k is the number of buses, which in this case is 1.
Substituting the values, we get:
P(X = 1) = ( 5^1 × e^-5 ) / 1!
≈ 0.0337
Therefore, the probability is 0.0337
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-
=\80
2.4
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14 15
0
L: 2
4
А) . 1
( - ) 90
| —
Answers
Answer:
....
Step-by-step explanation:
The endpoint of the line segment is (4,6) and (-6,2). Point G divides the segment into two equal parts?
What are the coordinates of point of G?
Answers
Answer:
G = (-1,4)
I drew it and work it out tho
Ken wants to buy two shirts. The original price of the first shirt is $34, and the original price of the second shirt is $28. Ken will use one of the two discount coupons shown to buy the shirts. Coupon 1 Coupon 2 Buy one shirt at the original price and receive half off the price of a second shirt of equal or lesser value. Take 20% off the original price of each shirt, Based on this information, which statement is true?
Answers
Graph the Linear equation: y = - 3/4x + 5
Answers
Based on the given linear equation of y = - 3/4x + 5, the graph is shown attached.
How to graph an equation?When given a linear equation, you graph it by coming up with x values and then using the equation to find the corresponding y values.
The linear equation is y = - 3/4x + 5.
If the value x = -1, then y would be:
y = - 3/4x + 5
= -3/4(-1) + 5
= 5.75
If the value x = 0, then y would be:
y = -3/4(0) + 5
= 5
If the value x = 1, then y would be:
= -3/4(1) + 5
= 4.25
If the value x = 2, then y would be:
= -3/4(2) + 5
= 3.5
If the value x = 3, then y would be:
= -3/4(3) + 5
= 2.75
The points would be:
(-1, -5.75) (0, 5) (1, 4.25) (2, 3.5) (3, 2.75)
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PLEASE HELP WITH THIS WILL GOVE BRAINLIST 2 BEST ANSWER
Answers
Answer:
R: (-3, -4)
S: (-3, -1)
T: (-1, -4)
the nth term of a sequence is n²+20
work out the first 3 terms of the sequence
Answers
The first 3 terms of the sequence are 21, 24 and 29
Working out the first 3 terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
n² + 20
This means that
f(n) = n² + 20
The first 3 terms of the sequence is when n = 1, 2 and 3
So, we have
f(1) = 1² + 20 = 21
f(2) = 2² + 20 = 24
f(3) = 3² + 20 = 29
Hence, the first 3 terms of the sequence are 21, 24 and 29
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Is -17/-40 equal to 0.245
Answers
Answer:no
Step-by-step explanation:it will be 0.425
Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π) The diameter of the circle is 9 centimeters.
Answers
The circumference of the circle is 28.3\(cm^2\).
What is circumference?A circle's circumference is the distance spanning its outermost point. Diameter is the measurement from a circle's centre to the outside. The radius of a circle is the separation between its centre and any point on its edge.
Here the given diameter d = 9 cm
Using circumference of circle formula then,
=> Circumference C = \(\pi d\) square unit.
Then,
=> C = 3.14*9 = 28.3\(cm^2\)
Hence the circumference of the circle is 28.3\(cm^2\).
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Where would 7 be located on the number line below
Answers
Answer:
we can check the position of √7 is btw p and q
because square of 2 is 4 while square of 6 is 36
and 7 lies btw 4 and 36 therefore √7 lies btw p and Q
Answer:
OPTION C BETWEEN P AND Q
As 7 is equals to 2.78approx.
Step-by-step explanation:
..
3. A car originally cost $16,000. The owner reduced the price of the car by 20%. After a few
weeks, the owner reduced the price of the car by another 20%, Belinda then purchased the
If a 3% sales tax was added, how much did Belinda pay for the car?
A. $9,600.80
B. $9,888,20
C. $10,240.00
D. $10,547.20
Answers
Answer:
the answer is D: $10547.20
10h+30+50j its khan academy
Answers
Answer:
The answer is B- 10h( h+3+5j) AND C- 2(5h+15+25j)
Ethan needs to save at least $450 for a new dirt bike. So far, he has saved $165. If wants to use half of his next paycheck for the remaining amount, how much money must he make in his paycheck?
Answers
Answer:
285
Step-by-step explanation:
450-165=285
Hope this helps and is right.
What is the solution of the inequality shown
below?
y+7≤-1
Answers
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
Chloe is deciding between two landscaping companies for her place of business. Company A charges $70 per hour and a $150 equipment fee. Company B charges $55 per hour and a $300 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
Answers
The equations are AA = 150 + 70t and BB = 300 + 55t.
It is 10 hours which make the cost of each company the same.
Given,
Company A:
Charge for an hour =$ 70
Equipment fee = $ 150
Charge for ' t ' hours = 70 x t = 70t
Total cost = Equipment fee + charge for t hours
AA = 150 + 70t
Company B:
Charge for an hour =$ 55
Equipment fee = $ 300
Charge for 't' hours = 55 x t = 55t
Total cost = Equipment fee + charge for t hours
BB = 300 + 55t
Now, we have to find
BB = AA
300 + 55t = 150 + 70t
300 – 150 = 70t – 55t
150 = 15t
t = 150 / 15
t = 10
That is,
The equations are AA = 150 + 70t and BB = 300 + 55t.
It is 10 hours which make the cost of each company the same.
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Can Somebody help me on this problem??
I'm having trouble with my homework, and also tell me the steps so i actually know how to do it next time.
Answers
Answer:
their is in two part of the line has x but both value are not the same but the above one answer is x=117°
the another one is x=97°
Step-by-step explanation:
if you need explanation type in comment
Ten pair of shoes are in a closet. Four shoes are selected at random. Find the probability that there will be at least one pair among the four shoes selected.
Answers
The probability that there will be at least one pair among the four shoes selected is 38/115 (approx.).
Given that ten pair of shoes are in a closet and four shoes are selected at random, we need to find the probability that there will be at least one pair among the four shoes selected.
Possible cases are i) selecting all four shoes of different pairs and
ii) selecting at least one pair of shoes.i
i) Selecting at least one pair of shoes:
This can be done in two ways, either by selecting a pair of shoes and then selecting two shoes from the remaining pairs, or by selecting two pairs of shoes and then selecting one shoe from each pair.
The number of ways of selecting one pair from ten pairs of shoes is 10C1 = 10
The number of ways of selecting 2 shoes from the remaining 18 shoes (one shoe from each of the remaining 9 pairs) is 18C2 = (18 × 17)/(2 × 1) = 153
The number of ways of selecting 2 pairs from ten pairs of shoes is 10C2 = (10 × 9)/(2 × 1)
= 45
The number of ways of selecting one shoe from each of the two pairs of shoes selected is 2 × 2 = 4
Total number of ways of selecting at least one pair of shoes = 10 × 153 + 45 × 4
= 1530 + 180
= 1710
The number of ways of selecting 4 shoes from 20 shoes is 20C4 = (20 × 19 × 18 × 17)/(4 × 3 × 2 × 1) = 4845
Probability of selecting at least one pair of shoes= 1710/4845= 38/115 (approx.)
Therefore, the probability that there will be at least one pair among the four shoes selected is 38/115 (approx.).
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Based on the lengths of the segments in the ellipse below, how long is the major axis of the ellipse? Show your work.
Answers
Check the picture below.
the distances d1 and d2 are for this ellipse 7 and 3 respectively, keeping in mind that their sum is always the same, namely d1 + d2 is always the same 10 no matter where on the ellipse you move the point, notice in the picture, if we move d1 to the extent that lies flat right on top of d2, we have the length of d1 in purple, plus the length of d2, which we later colored in darkyellow, if we move d2 to the right-hand-side or the tail of d1, we'd end up with the ellipse's major axis, which is oddly enough, d1 + d2.
graph the reflection of f(x) = 1.5(0.5) across the y-axis
Answers
See attachment for the graph of the reflection of f(x) across the y-axis
How to reflect the function?The function is given as:
f(x) = 1.5(0.5)^x
The rule of reflection across the y-axis is
(x, y) = (-x, y)
So, we have the following equation
f'(x) = 1.5(0.5)^-x
Rewrite the function as
g(x) = 1.5(0.5)^-x
So, we plot the graph of the function g(x)
See attachment for the graph of the reflection of f(x)
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step 1 :
g(x) = 1.5
step 2 :
g(0): 1.5
step 3 :
plot at (0,1.5)
step 4 :
g(1) = 3
g(-1) = .75
step 5 :
plot (1,3) & (-1,0.75)
step 6:
y=0
You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Answers
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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will mark branliest if correct:)
Answers
Answer:
If im not mistaking its b
Step-by-step explanation:
you gotta divide the nubers inside the box thing with then numbers outside it then multiply
Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3
Answers
Answer:
O y = -5x + 7
Step-by-step explanation:
\(5x + y = -2 \\y = -5x - 2\)
the slope of this line is -5 so the slope of a parallel line will also have to be -5
put it in point slope form:
y - - 3 = -5(x - 2)
y + 3 = -5x + 10
y = -5x + 7