What part of the circle is shown in purple?

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Answer:

(2,-7)

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Pemdas

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A =  Addition

S = Subtraction

Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.

Step-by-step explanation:

You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8

Step-by-step explanation:

I did the math...

Answer:

$17.50 is how much Priyah makes per hour

Answer:

p = 4

Step-by-step explanation:

Given the expression x ^ 2-px + 3 = 0

If x = 0 is a solution

Substitute into the expression

0² - 0p + 3 = 0

-0p = -3

p = 3/0

p cannot be determined for this root

If x = 1

1² - 1p + 3 =0

1 - p + 3 = 0

-p+4 = 0

-p = -4

p = 4

Hence the va;ue of p is 4

Answer:  a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1

Answer:

The third one

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

convert either gram into kg or kg into gram

lets convert kg into g

1 kg=1000g

20kg=1000*24g

=20000g

450/20000*100%

450/200%

2.25%

first convert 450 g to kg = 0.45 kg

Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%

Answer:

150.7

Step-by-step explanation:

Formula to the find volume of a pyramid:

V=1/3 (B)(h)

V=1/3 (19) (23.8)

Answer:

7 feet i think? i may be wrong tho

Step-by-step explanation:

Answer:

hiii

zom I'd 213 088 8336

p 0

come for s

Answer:

113 degree

Step-by-step explanation:

missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.

Answer:

2.77

Step-by-step explanation:

39.50x.07=2.77

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

Answer:

1.0

2.undefined

Step-by-step explanation:

Answer:1) 0, 2) is undefined

Step-by-step explanation:

Answer:

144 m2

Step-by-step explanation:

The bisectors of the perpendicularity of the vectors

Answer:

187.5 pounds

Step-by-step explanation:

Fraction of sand = 2/5

Fraction of clay = 2/5

Fraction of peat = 1/5

Pounds of sand = 75

The total pounds of soil required to make Correct mixture : let that be x

Hence,

Using the sand Fraction and pounds which we know :

2/5 of x = 75

2x / 5 = 75

Cross multiply :

2x = 75 * 5

2x = 375

x = 375 / 2

x = 187.5

Required pond of sand =187.5 pounds

Answer:

X = -2

Step-by-step explanation:

Hope this helps

Answer:

Tip = $9

Step-by-step explanation:

Bill amount to nearest ten dollars = $60

[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=3/5

sin theta=0.60

theta=sin 37 degree

therefore the value of theta is 37 degree.

Answer:

It would be 125 fish.

Step-by-step explanation:

This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.

Answer:

20

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

if you take 31.2 and divide it by 6 you will get 5.2

Answer:

5 1/5 pounds which equals 5.2 pounds

Step-by-step explanation:

31 2/10 = 31 1/5

31 1/5 = 156/5

156/5 ÷ 6 means 156/5 x 1/6

multiply numerators to get 156

multiply denominators to get 30

156/30 = 5 6/30 or 5 1/5 simplified

Answer:

SR=1/2*PO

5x-38=1/2*7x-49

2(5x-38)=7x-49

10x-76=7x-49

10x-7x=-49+76

3x=27

x=27/3

x=9

substitute the value of x in RS

5x-38

5*9-38

45-38

7

Step-by-step explanation:

Answer:

RS = 7

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is

5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )

10x - 76 = 7x - 49 ( subtract 7x from both sides )

3x - 76 = - 49 ( add 76 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7

Answer:

x = 14

m<D = 57

Step-by-step explanation:

All triangle interior angles add up to 180.

<D and <E are congruent because of the congruent legs which makes them congruent angles:

4x + 1 + 4x + 1 + 5x - 4 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x = 14

m<D:

4x + 1

4(14) + 1

56 + 1

57

Answer:

169.6 m³

Step-by-step explanation:

the volume = 3.14 × 3² × 6

= 3.14 × 54 = 169.6 m³