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Maurinko [17]
3 years ago
8

A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0
In a deck of cards there are total of 52 cards. But in our case we have to check the probability of red 8, which is either the 8 of diamond or of heart. So the number of events of which we have to find probability is 2. And total number of events is 52. So the probability will be 2/52 = 1/26 = 0.0384615
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Need answer ASAP!!<br> Find the area of the shaded region.
qwelly [4]

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

\boxed{area \: of \: rectangle = length \times breadth}

Area of shaded region

= Area of larger rectangle -area of smaller rectangle

Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

= (x -6)(x -3)

= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>

= x² -9x +18

Area of shaded region

= 6x² -2x -8 -(x² -9x +18)

= 6x² -2x -8 -x² +9x -18

= 5x² +7x -26

4 0
3 years ago
Which inequality is represented by this graph?
tatuchka [14]

Answer:

y<=-(1)/(5)x+1

Step-by-step explanation:

3 0
3 years ago
20 + 2(3-5)^2 + 30/10 x 3
KonstantinChe [14]

20 + 2*(3-5)^2 + (30/10)*3

20 + (2*[-2])^2 + (3*3)

20 + (-4)^2 + 9

29 + 16

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Note that * is used to signify multiplication.

5 0
3 years ago
A software firm survey of 595 randomly selected adults showed that 38​% of them would erase all of their personal information on
algol [13]

Answer:

a. \ p=0.38\\\\b. \ \ H_o:p=0.38\\\ \ \ \ \\H_A:p\neq 0.38

Step-by-step explanation:

a. Let, p be the parameter being tested. From the sample, 38% would erase all of their personal information.

-we know that the value of probabilities are in the range [0,1]:

-Given that 38% is the true value of the claim can be symbolically expressed as p=0.5

b. The null hypothesis usually represents the true value parameter under study.

-As stated above, the true value of the parameter is 38%;

-Hence, the null hypothesis is H_o:p=0.38

#Alternative hypothesis is the control value, given the value of the parameter  p=0.38, the alternative hypothesis is that p has a different value other than 0.39:

H_A:p\neq 0.38

4 0
3 years ago
Sam's Club has a special that charges $2.49 per case of water. Vinny wants to pay that price, but needs to purchase a membership
castortr0y [4]

Answer: $50 + $2.49x = $67.43

Step-by-step explanation:

Let the case of water bought be represented by x.

We are informed that Sam's Club has a special that charges $2.49 per case of water and that Vinny wants to pay that price, but needs to purchase a membership first, which costs $50 and that Vinny eventually spent $67.43.

The equation that represents the number of cases of water that Vinny bought at Sam's club will be:

$50 + $2.49x = $67.43

8 0
3 years ago
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