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Brut [27]
3 years ago
5

A department store is holding a drawing to give free shopping sprees to two lucky customers. There are 17 customers who have ent

ered the drawing: live in the town of Gaston, live in Pike, and live in Wells. In the drawing, the first customer will be selected at random, and then the second customer will be selected at random from the remaining customers. What is the probability that both customers selected are Pike residents?
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer: Our required probability is 0.044.

Step-by-step explanation:

Since we have given that

Number of customers who have entered the drawing = 17

Number of customers live in the town of Gaston = 5

Number of customers live in Pike = 4

Number of customers live in Wells = 8

The first customer will be selected and then second customer will be selected from the remaining .

Probability of getting first customers are Pike residents = \dfrac{4}{17}

Probability of getting second customers are Pike residents = \dfrac{3}{16}

So, the probability that both customers selected are Pike residents are

\dfrac{4}{17}\times \dfrac{3}{16}\\\\=0.044

Hence, our required probability is 0.044.

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Which property is (8•9)b=8(9b)
Ludmilka [50]

Answer:

Associative Property

Step-by-step explanation:

When the order of operands remains the same, all operations are identical (multiplication, or addition), and only the parentheses change places, the property involved is the <em>associative property</em>.

6 0
3 years ago
A golf player is trying to make a hole-in-one on the miniature golf green shown.
Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

Substitute (x_1,y_1) = (2,1.6) for x and y

1.6 = a|2 - 4.8| + 6.4

1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

a =-\frac{4.8}{2.8}

Simplify

a =-\frac{12}{7}

Substitute a =-\frac{12}{7} in y = a |x - 4.8| + 6.4

y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0
2 years ago
PLEASE HELP!!!!! DUE TODAY!!!!!
prisoha [69]

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

Radius of the circular top of the cone = \frac{\text{Diameter}}{2} = \frac{2}{2}=1

Height of the cone = h

Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

l² = r² + h²

6² = 1² + h²

h = \sqrt{36-1}

h = \sqrt{35}

Ice cream needed to fill one cone = Volume of the cone

Since, formula for the volume of the cone V = \frac{1}{3} \pi r^{2} h

V = \frac{1}{3}\pi (1)^2(\sqrt{35})

   = 6.195

   ≈ 6.20 cm³

Ice cream needed to fill the two cones = 2 × 6.20

                                                                 = 12.4 cm³

Therefore, ice cream needed to fill the two cone = 12.4 cm³

4 0
3 years ago
Determine the intercepts of the line. <br> x-intercept ( , ) <br> y-intercept ( , )
aliya0001 [1]

Answer:

y-100

x-250

Step-by-step explanation:

because the lines are insecting the other lines on that line

3 0
2 years ago
tyreee bought a collection comic book for 49.62 last year.this year he would sold it for 52.10 find the percent of change.
wlad13 [49]

Answer:

The percentage increased by approximately 5%.

Step-by-step explanation:

52.10 - 49.62 = 2.48

2.48/49.62 x 100 = 4.998%

The percentage increase in the price is approximately 5%. Hope this helps! :)

3 0
2 years ago
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