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GREYUIT [131]
3 years ago
12

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink f

or breakfast. If a person is selected at random, find the probability that the person preferred milk as his or her primary drink.
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = \frac{18}{60}

The probability of person preferred coffee = \frac{29}{60}

The probability of person preferred juice = \frac{13}{60}

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = \mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}

    =   \frac{18}{60}  =  0.3

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Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f
worty [1.4K]

Answer:

<u>Part 1:</u>

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>  $270

<u>Part 3:</u>  $320

<u>Part 4:</u>  11 months

<u>Part 5:</u>  See explanation below

Step-by-step explanation:

<u>Part 1:</u>

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

<u>Part 3:</u>

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

<u>Part 4:</u>

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

<u>Part 5:</u>

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

4 0
3 years ago
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0
2 years ago
A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below
Sedaia [141]

Answer:

(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5

(B) 73.6

Step-by-step explanation:

The question is clear enough. Kudos!

So there are many players but we're focusing on Ricky.

Ricky has already recorded his score for each of the 5 rounds in the tournament.

The number of strokes in Ricky's record are to be added to or subtracted from a given number 72

ROUND 1:    [72 - 5] strokes = 67

ROUND 2:   [72 + 6] strokes = 78

ROUND 3:   [72 - 2] strokes = 70

ROUND 4:   [72 + 4] strokes = 76

ROUND 5:   [72 + 5] strokes = 77

(A) Write an expression to represent Ricky's total number of strokes for the five rounds.

Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!

You are already given an abstract number '72' to work with in this question.

It is a fixed quantity which influences the value of strokes for each round.

We will represent this by an algebra, if we have to create the above required expression.

The expression will then be:

∫₁⁵[Xₙ + k] where n ranges from 1 to 5

You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.

X₁ would be -5,   X₂ would be +6,   X₃ would be -2,   X₄ would be +4,   X₅ would be +5

K is the constant 72

(B) What was Ricky's average number of strokes per round?

Out of the 5 rounds, the average number of strokes per round would be

[67 + 78 + 70 + 76 +77] ÷ 5

= 368/5  = 73.6

6 0
2 years ago
Hi everyone my bff needs help!!! there's a pdf below!!
Akimi4 [234]

Answer:

hi hi

Step-by-step explanation:

7 0
3 years ago
Equation 1: 8x+2y=308x+2y=30
Tems11 [23]

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

8x+2y=30 ----> equation 1

7x+2y=24 ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

-1(7x+2y)=-1(24)

-7x-2y=-24 -----> equation 3

Adds equation 1 and equation 3

8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6

Find the value of y

8x+2y=30[/tex[tex]8(6)+2y=30

2y=30-48

y=-9

The solution is the point (6,-9)

8 0
3 years ago
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