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kupik [55]
3 years ago
13

A standard card deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled​ deck, without

replacement. Complete parts a through c below. a. Determine whether the following statement is true or false. The probability of being dealt three black cards is one half times one half times one half equals one eighth . If​ true, explain why. If​ false, show how to get the correct probability.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

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Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
What is the factored form of x^2-9x+20
mina [271]

Answer:

(

−

5

)

(

−

4

)

Step-by-step explanation:

Not 100 percent sure

4 0
3 years ago
I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))
UNO [17]

Answer:

83

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

<em>Theorem:</em>

<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>

x + 43 = 126

x = 83

4 0
4 years ago
Read 2 more answers
Please help ASAP! Show work please! I will give brainliest!
kirill [66]

-4x/7 > 10

Multiply both sides by 7:

-4x > 70

Divide both sides by -4"

x > 70 / -4

Simplify the fraction:

70/-4 = 35 / -2


Because the fraction is negative you need to reverse the inequality sign:

x < -35/2


The answer is the first one: {x|x < -35/2}

4 0
3 years ago
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

#SPJ1

8 0
2 years ago
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