3. Jackie played the drums in the band. If he beat the drum at a rate of
110 beats per minute, how many beats would he play in 4 minutes

Answer:

The answer is

Step-by-step explanation:

Volume of a cylinder is given by

where

h is the height

r is the radius

V is the volume

Since we are finding the height

[tex]h = \frac{V}{\pi {r}^{2} } [/tex]

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]

We have the final answer as

27 cm

Hope this helps you

Answer:

2x+2

Explanation:

I'll do problem 1 to get you started.

Answers are in bold

Answer:

The frequency table is listed down below.

Step-by-step explanation:

1:1

2:1

4:2

8:2

9:1

10:1

13:1

14:1

15:3

16:1

18:1

24:1

25:2

27:1

The frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

We have:

The sample of twenty individuals and records their responses:

8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24

The classes are:

1-6, 7-12, 13-18, 19-24, and 25-30

The frequency table for grouped data is shown in the picture.

Thus, the frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30

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Answer:

(17, -7)

Step-by-step explanation:

you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!

Answer:

18

Step-by-step explanation:

This is venn diagram with 4 elements

Fish = n(F)

Bird = n(B)

Dog = n(D)

Cat = n(C)

The formula is given as

n (F ∪ B ∪ C ∪ D) - n(pet owners that have not fish, bird, cat or dogs) = n(F ) + n ( B ) + n (C) + n(D) - n ( F ∩ B) - n ( F ∩ C) - n ( F ∩ D) - n ( D ∩ B) - n ( D ∩ C) - n ( C ∩ B) + n(F ∩ D ∩ C) + n(F ∩ D ∩ B) + n(F ∩ C ∩ B) + n(D ∩ B ∩ C)- n (A ∩ B ∩ C ∩ D)

= 140 - n(pet owners that have not fish, bird, cat or dogs) = 47 + 53 + 50 + 68 - 21 -26 - 29- 10 - 2

140 - n = 218 - 88

140 - 218 - 88 +[(9 + 4 + 10) -(11 + 14)] = n

140 - 218 - 88 + (33 - 25)= n

140 - 130 + 8 = n

10 + 8 = n

Answer:

Step-by-step explanation:

The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.

Mean is the average of the data. It is the sum total of the numbers divided by the total number.

Mean = 64+72+73+60+65+86+72+69+74/9

Mean = 635/9

Mean = 70.6inches

Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude​.

On re-aaranging

60, 64, 65, 69), 72, (72, 73, 74, 86

It can be seen that the number at the middle is 72, hence the median data is 72inches

Maximum value is the highest number in the data given. The highest number is 86 according to the data.

Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.

Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts

IQR = Q3-Q1

Q3 is the upper quartile

Q1 is the lower quartile

Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74​

Q1 = 72+69/2

Q1 = 70.5

Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60

Q3 = 72+73/2

Q3 = 72.5

IQR = 72.5-70.5

IQR = 2.0

Hence the five numbers are 70.6, 72, 86, 60 and 2.0

Answer:

A

Step-by-step explanation:

Because reasons

Answer:

I think B ok sorry if I guess

Answer:

It is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Perimeter =

[tex]4\times s[/tex]

Where s = side

Solve for s using the area

[tex]A =49\\\\49 = s^2\\\\Square\:root \:both\:sides\:of\:the\:equation\\\\\sqrt{49} = \sqrt{s^2} \\\\7 =s\\\\s =7[/tex]

Find the perimeter

[tex]4\times s\\\\= 4 \times 7\\\\= 28[/tex]

Answer:

3^12 = 531441

Step-by-step explanation:

For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:

[ ( 3^2 ) ^ 3 ] ^ 2

= [ 3^2 * 3^2 * 3^2 ] ^ 2

= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2

And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:

3 ^ (2 + 2 + 2 + 2 + 2 + 2)

= 3^12

Either way of power manipulation, you end with the same result of 3^12. Hope this helps.

Cheers.

Answer:

-110601

Step-by-step explanation:

All you have to do is replace the variables with their value. So the equation would look like this,

6(-8)³ - 9

Always solve the parenthesis first ending up with

-48³ - 9

Now the exponents,

-110592 -9

Here we just subtracting getting the answer of...

-110601

Hope that helps and have a great day!

Answer:

2x1=2

Step-by-step explanation:

If it asks for 2, but he is making that one time he still needs to use 2.

Hey there!

[tex]\frac{2}{3}=\frac{x}{9}[/tex]

For the first step, we will need to use the cross multiplying method.

[tex]\frac{2}{3} =\frac{x}{9}\\ (2)*(9)=(x)*(3)\\18=3x[/tex]

Now let's flip.

[tex]3x=18[/tex]

Now for the final step, we will have to divide both sides by 3.

[tex]\frac{3x}{3} equals\frac{18}{3}[/tex]

Simplify 18/3.

[tex]18/3=6\\6(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

y ≥ 135 or

y is at least 135

Step-by-step explanation:

Fifteen greater than y is at least 150

Which means: y is at least 135

Answer: 3y + 10z - 13

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Total cars =

[tex] \frac{52}{80} \times 100 = 65[/tex]

Answer:

Distance = rate x time or d = rt...that means time t = d/r...and we have

t = 21 km / .5 km/hr = 42 hr

Step-by-step explanation:

The amount of time taken by the lava to reach the sea will be 42 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.

Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.

The distance will be calculated as below:-

Distance = rate x time  

d = r x t

t = d / r

t = 21 km / .5 km/hr

t = 42 hr

Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.

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Answer:

1667

Step-by-step explanation:

(Margin of Error)² = (z × 0.5)²/n

Where n = number of samples

Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²

From the above question:

Margin of Error = 0.024

z = z score of a 95% confidence interval = 1.96

Minimum number of samples

= (1.96 × 0.5)²/(0.024)²

= 0.9604/(0.024)²

= 1667.3611111

Approximately to the nearest whole number = 1667

Therefore, the minimum number of samples is 1667

Round the number 7696.41481885 to the nearest thousandth will be 7696.415.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

7696.41481885

Round the number 7696.41481885 to the nearest thousandth term, which will be done if the number is greater than 5 then the previous of that number is increased by 1. Then the number will be

7696.415

Round the number 7696.41481885 to the nearest thousandth will be 7696.415.

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Answer:

169 is 13^2

24 is 2(squareroot)6

15 is (squareroot)15

40 is 2(squareroot)10

Step-by-step explanation:

169 is 13^2

24 is 2(squareroot)6

15 is (squareroot)15

40 is 2(squareroot)10

Answer:

0.45

Step-by-step explanation:

Answer:

p = T - a - b

Step-by-step explanation:

Hope that helps, not sure if it is correct though.

Answer:

y=4

y=8

y=12

y=16

2)4=19

5=22

addition of 3 to each value

3)17

4)3a^2

5)a^4

6)1

7)An arithmetic sequence is such that the difference between any term and the one immediately preceeding it is constant.

8)A geometric sequence is such in which each term is a constant multiple of its preceeding.

9)1.25

10)B.

Answer:

y=4

y=8

y=12

y=16

2)4=19

5=22

addition of 3 to each value

3)17

4)3a^2

5)a^4

6)1

7)An arithmetic sequence is such that the difference between any term and the one immediately proceeding it is constant.

8)A geometric sequence is such in which each term is a constant multiple of its proceeding.

9)1.25

10)B.

Step-by-step explanation:

Answer:

29000 feet

Step-by-step explanation:

Move decimal points 4 places to the right.

Answer:

I do not see anything that matches what I got. I got x=14.2

Step-by-step explanation:

5x+9=80

5x=71

x=14.2