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galben [10]
3 years ago
6

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with re-placement, consider X as the number of

spades that you obtain. Which is the distribution of X?
Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

It is a Binomial experiment with n = 8 and p = 0.25

Step-by-step explanation:

It is given that we draw 8 cards out of the well shuffled deck of 52 cards one by one replacement.

Given :

$n=8$

P (getting a spade) = $\frac{13}{52}$

                               = 0.25

As in the question, we are sampling with the replacement, so the probability of getting a spade in each draw remains the same and the all the draws are independent.

Therefore it is a Binomial experiment with n = 8 and P = 0.25

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A car is driving at a speed of 45mi/h. what is the speed of the car in feet per minute
Mama L [17]
<span>how many feet= 1mile
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5280ft=1mile
60mins=1hr 
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divide by 60
3960 ft per minute</span>
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3 years ago
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What is the length of AD<br> A. 1<br> B. 2<br> C. 3<br> D. 4
m_a_m_a [10]

Answer:

B

Step-by-step explanation:

it's basically divided

5 0
2 years ago
Which of the following is equivalent to 5x - x + 3x = 30? A 8x = 30 o 7x = 30 с 3x + 5= 30 x = 30​
lyudmila [28]

Answer:

Step-by-step explanation:

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

8-1=7

7x=30

4 0
2 years ago
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This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
3 years ago
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
Artist 52 [7]

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

Given:

2x + 6y = 12

where

x = number of pounds of granola y = number of pounds of walnuts

The correct solution to the problem

x = 3 pounds

2x + 6y = 12

2(3) + 6y = 12

6 + 6y = 12

Subtract 6 from both sides

6 + 6y - 6 = 12 - 6

6y = 6

Divide both sides by 6

y = 6/6

= 1

y = 1 pound

Tomas added 6 to both sides of the equation instead of subtracting 6.

3 0
3 years ago
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