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vodomira [7]
3 years ago
13

[6.01] MA.8.S.3.2 Which set of data has 3 modes?

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
Any set that has three modes has more than one of any given number 3 different times (sry if i wrote that in a confusing way)
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Find the exact volume of the cylinder.
Verizon [17]

Answer:

\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

v= \pi r^2 h

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

  • r = d/2
  • r= 10 ft/2
  • r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

v= \pi (5 \ ft)^2 * (8 \ ft)

Solve the exponent.

  • 5 ft * 5ft = 25 ft²

v= \pi (25 \ ft^2)(8 \ft)

Multiply the numbers in parentheses.

v= \pi (200 \ ft^3)

v= 200 \pi \ ft^3

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0
3 years ago
Write a function to represent the set of ordered pairs.<br> {(2, 2), (3,7). (4, 14), (5,23)}
MrMuchimi

Answer:

Step-by-step explanation:

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

An ordered pair represents a relationship between two values

The first value is the input the second value is the output

1. A relation is a set of inputs and outputs

2. A function is a relation with one output for each input

3. All functions are relations

{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}

∵ The x-coordinate 4 has two values of y (7 and -6)

∴ The relation above is not a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

6 0
3 years ago
3/4+5/6 divided by 2/3 in simplest form show work, please!<br> Thanks!
Nuetrik [128]

Answer:

2 \frac{3}{8}

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 \frac{3}{8}

Hope this helps :)

3 0
3 years ago
Where e is enclosed by the planes z = 0 and z = x + y + 9 and by the cylinders x2 + y2 = 4 and x2 + y2 = 16?
katrin [286]
Best to use cylindrical coordinates. The volume (assuming that's what you're supposed to find) of the region is given by the triple integral

\displaystyle\iiint_E\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=2}^{r=4}\int_{z=0}^{z=r(\cos\theta+\sin\theta)+9}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=2}^{r=4}(r^2(\cos\theta+\sin\theta)+9r)\,\mathrm dr\,\mathrm d\theta
=108\pi
4 0
3 years ago
WORTH 15 POINTS!! - Eileen's Energy Bars has determined that an energy bar measuring 3.25 inches long has a z-score of +1 and an
VashaNatasha [74]

Answer:

0.25

Step-by-step explanaition:

The z-score represents how many deviations a value is from the mean. When the bar measures 3.25, the z-score is +1. When the bar measures 3.50, the z-score is +2. You'll notice that whenever the bar size increases by 0.25, the z-score goes up +1. So, the standard deviation from the mean must be 0.25.

3 0
3 years ago
Read 2 more answers
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