Answer:
Step-by-step explanation:
The volume of the clay sphere the artist started with is 113.04 in^3
What is the volume of the clay sphere?We know that the artist starts with a sphere of clay with a radius of 3 inches, and we want to find the volume of clay that he has.
Then we just need to find the volume of the sphere.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*3.14*R^3[/tex]
In this case, R = 3 in, replacing that we get.
[tex]V = (4/3)*3.14*(3 in)^3 = 113.04 in^3[/tex]
The volume of the clay sphere the artist started with is 113.04 in^3
If you want to learn more about volumes, you can read:
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An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.
Hi
Let's call X the amount in the beginning.
we have X*1.03^6 = 1819.77
X = 1819.77 / 1.03^6
X ≈ 1524.03
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Answer: 432 cubes
Step-by-step explanation:
Volume of rectanglular prism
[tex]\\ \rm\Rrightarrow LBH[/tex]
[tex]\\ \rm\Rrightarrow 9(4)\times 1\dfrac{1}{2}[/tex]
[tex]\\ \rm\Rrightarrow 36\times \dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow 18(3)[/tex]
[tex]\\ \rm\Rrightarrow 54in^3[/tex]
Volume of each cube
[tex]\\ \rm\Rrightarrow side^3[/tex]
[tex]\\ \rm\Rrightarrow (1/2)^3[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{1}{8}in^3[/tex]
Total cubes
[tex]\\ \rm\Rrightarrow \dfrac{Volume\:of\:prism}{volume\:of\:one\:cube}[/tex]
[tex]\\ \rm\Rrightarrow 54\div\dfrac{1}{8}[/tex]
[tex]\\ \rm\Rrightarrow 54(8)[/tex]
[tex]\\ \rm\Rrightarrow 432[/tex]
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
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.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)
one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10
Hi I need ur help! (And this is the other one if you saw my last question)
Answer:
Hi gimmie brainly
thanks
Please no links I’ll be picking brainiest
Answer:
y=6x-2.5
Step-by-step explanation:
It goes up by $6and if it is zero miles it is -2.5.
26.5 multiplied by 0.38
Answer:
10.07
Step-by-step explanation:
26.5 x 0.38 = 10.07
Can I get brainliest
The length of a desk top is 4 feet. How many inches is the length of the desktop?
Answer:
ohh wait i read the question wrong yeah the person below me is correct
Step-by-step explanation:
You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%
7
1. Represent these numbers on the number line. (i)7÷4
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.....
? Help
Which number will make the two fractions
10 5
equivalent?
38 ?
OA) 2
B) 5
C) 18
D) 19
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
it is just right my brudda
In which quadrant would you find the point (5, -6)
Answer:
The fourth one.
Explanation:
Right five, down six
what is the range of magazines sold?
please answer will give brainliest
Answer:
range: 8
Step-by-step explanation:
In order to find the range you need the minimum and maximum
minimum: 17
maximum: 25
Subtract
25-17=8
Find the sum: (7b
-4) + (-2b+1).
Answer:
=5b-3
Step-by-step explanation:
(7b -4) + (-2b+1).
Remove parenthesis;
7b-4+-2b+1
Group like terms;
=7b-2b-4+1
Add similar element
7b-2b=5b
=5b-4+1
Add/subtract the numbers
=5b-3
Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO
HOPE THIS HELPED!!!
Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46
Answer:
maybe b?
Step-by-step explanation:
determine the point-slope form of the line with slope -7 that intersects the point (5,23)
Answer:
y=-7x+58
Step-by-step explanation:
Find the measure of <5.
45 = [?]
69%
25
Answer:
Solution given:
<5+69°=180°[co- interior angle]
<5=180°-69°=111°
<5=111°
the segments shown below could form a triangle. True or false
Answer:
true
Step-by-step explanation:
true
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
THE ANSWER CHOICE FOR D. 15 BUT HELP PLEASE
Answer:
60
Step-by-step explanation:
32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?
Answer:
$211.916
Step-by-step explanation:
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
A:9
B:15
C:51
D:134
Answer:
51
Step-by-step explanation:
34/200=.17
.17×300= 51
HELPP ME IM FAILING IN MATH
Answer:
-2, 4
Step-by-step explanation:
a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true
Answer:
Plot (-3,5)
I hope this is right ; -;
Solve each system.
3x – y = 5
4x – 2y = 4
Answer:
x = 3
y = 4
Step-by-step explanation:
y = 3x -5
4x - 2(3x-5) = 4
4x - 6x + 10 = 4
-2x = -6
x = 3
y = 4
Which one of the following U.S. customary units is closest in volume to I liter?
Answer:
c
Step-by-step explanation:
Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.
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 relation between the quart and the liter is found as;
1 quarts = 0.94635295 liters
The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.
Hence,option D is correct.
To learn more about the volume refer:
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I APRECIATE HELP. A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?
The data set that is best fitted by the regression line is; Data Set B
What are regression residuals?Residuals are described as the distance of each point from the regression line. Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.
Graph C has points that are not tightly centered around a line. This is not a good fit.
Graph A has a straight line; it is not a good fit.
Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.
Read more about Regression Residuals at; https://brainly.com/question/17844286
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HELP! WILL GIVE BRANLIEST!
Answer:
x = 7
z = 85
Step-by-step explanation:
For x:
8x + 39 = 95
8x = 56
x = 7
For z:
95 + 95 + z + z = 360
190 + 2z = 360
2z = 170
z = 85
Check work:
DOES 85 + 85 + 95 + 95 = 360 ? Yes. Answer is correct.
I would appreciate Brainliest, but no worries.
Plesse help me:) ive been stuck on this for a while
Answer:
4th number line (the one of the bottom right)
Step-by-step explanation:
First, solve the inequality, then choose the number line that mathes the solution.
3x ≤ -6
Only step: Divide by 3.
x ≤ -6/3
x ≤ -2
But which number line matches the solution?
We know this is going left, so #1 & #3 are out. This also has a closed circle (because of ≤ (less than/equal to)), so #2 is also out.
Number line #4 matches the solution (x ≤ -2), so it is the answer.
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
