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docker41 [41]
2 years ago
8

The college athletic director recorded the highest noise levels reached during 7 sporting events. The highs were:

Mathematics
1 answer:
sergiy2304 [10]2 years ago
8 0

Answer:

90

Step-by-step explanation:

Mean:

(88 + 88 + 88 + 87 + 84 + 97 + 95)/7

627/7

89.57

90

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
In a class where there are a total of 80 pupils, 20 are girls and the remaining
babymother [125]

Answer:

75%

Step-by-step explanation:

First find the number of boys.

80 - 20 = 60

Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.

\frac{60}{80} × 100 = 75%

8 0
2 years ago
Read 2 more answers
climate scientists use computer models to predict the likely change in global average temperature under various assumptions abou
Free_Kalibri [48]

Answer:

\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

5 0
3 years ago
Read 2 more answers
Prove that . 1+cot2 theta = cosec2theta​
igor_vitrenko [27]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

\frac{sin^20}{sin^20} + \frac{cos^20}{sin^20} = \frac{1}{sin^20} , that is

1 + cot²θ = cosec²θ ← as required

6 0
2 years ago
You set up 240 chairs in four rows. How many chairs are in one row?
lukranit [14]

Answer:

60

Step-by-step explanation:

5 0
2 years ago
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