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777dan777 [17]
8 months ago
9

Of the people who prefer mocha, the relative frequency of them preferring it cold is

Mathematics
1 answer:
WITCHER [35]8 months ago
7 0

Answer

1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22

3) Type of coffee that has the highest percentage of people who prefer it cold = Regular

Explanation

1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as

Relative frequency

= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)

Number of mocha drinkers who prefer it cold = 12

Total number of mocha drinkers = 12 + 25 = 37

Relative frequency = 12 ÷ 37 = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as

Relative frequency

= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)

Number of latte drinkers who prefer it hot = 19

Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85

Relative frequency = (19/85) = 0.22

3) Percentage of people who prefer cold coffee for each coffee type

Regular

(17/28) = 60.7%

Mocha

(12/37) = 32.4%

Latte

(20/39) = 51.3%

Cappuccino

(27/57) = 47.4%

Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.

Hope this Helps!!!

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Which of the following is a solution of the system 2x + y = 9 and 3x + 5y = 19.​
Nezavi [6.7K]

2x+y=9

3x+5y=19

I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

y=9-2x

Now we can substitute the y in the second equation with 9-2x

3x+5(9-2x)=19

-7x+45=19

-7x=-26

x=26/7

y=9-2(26/7)=11/7

Solution II.)Elimination

We can multiply both side of first equation by 5 to get a 5y in both equations.

10x+5y=45

Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

(10x+5y)-(3x+5y)=45-19

7x=26

x=26/7

2*26/7+y=9

y=11/7

Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

4 0
2 years ago
Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13
stellarik [79]

Answer:

x>4

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x+9−9>13−9

x>4

3 0
2 years ago
Please help it due rn​
leonid [27]

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

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2 years ago
Please help!!
garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

LSA = \pi rl and

The total surface area of the cone is

TSA = \pi r^{2} + \pi r l

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

LSA = \pi (14)(27) sq ft

or, LSA = 1187.5 sq ft

Again,

TSA = \pi(14^2)+\pi (14)(27) sq ft

or,TSA = 1803.3 sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

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2 years ago
What is it<br><br> −4(3/2x−12)=−15
Greeley [361]

Answer:

x = 21/2

Step-by-step explanation:

Step 1: Write equation

-4(3/2x - 12) = -15

Step 2: Solve for <em>x</em>

  1. Distribute -4: -6x + 48 = -15
  2. Subtract 48 on both sides: -6x = -63
  3. Divide both sides by -6: x = 21/2
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