Out of 60 people surveyed 42 respond yes to the server question what is the relative frequency of yes responses

Answer:

Step-by-step explanation:

Answer:

[tex]\displaystyle r = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

The volume of prism for the given condition is 147 cm³.

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here, Prism(Rectangle)

          Length(L) = 3.5 cm.

          Width(W) = 6 cm

         Height (H) = 7 cm

Volume = Area of Rectangle x Height

Volume of Prism: V = L x W x H

                             V = 3.5 X 6 X 7

                             V = 147 cm³

Thus, The volume of prism for the given condition is 147 cm³.

Learn more about Volume of Prism from:

https://brainly.com/question/1578538

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It is the distributive property.

Answer:

x = 1+sqrt(69)/8 about 2.0383

or

x = 1-sqrt(69)/8 about -0.0383

Step-by-step explanation:

Use the quadratic formula:

(Move 17 to the left side first though)

(-b±√(b²-4ac))/2a

(1±sqrt(1-4*1*-17))/2(4)

x = 1±sqrt(69)/8

The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.

Answer:

Jacob

Brennan

Adrienne

Valerie

Step-by-step explanation:

Positive and nonlinear follows the first one so that's Jacob's

clustering is in the fourth one so that's Valerie's

2 and 3 have an outlier so look at next one

negative and linear is the third one so that is Adrienne's and the second one is Brennan's

Answer:

3.5

Step-by-step explanation:

This user has died... Try another time

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:

True

Step-by-step explanation:

As a right triangle, it follows the Pathagorem Therom. All you have to do is multiply 15 x 15 = 225 and 20 x 20 = 400, then finally, you would do 25 x 25, which is the biggest number of all, and get 625. Since 225 + 400 = 625, this follows the Pathagorem Therom.

Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Step-by-step explanation:

2x+y= 12

= 12,18

= 36

so the value of y is 36

value of x is 48

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

Step-by-step explanation:

I am pretty sure the answer is b