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Alina [70]
3 years ago
11

What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen

of Hearts?
Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

1 / 663

Step-by-step explanation:

First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.

There are 4 5's  (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.

The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =

1 / 663. Hope this helps!

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Determine whether the graph of y^5=x^3 is symmetric with respect to the Y axis the x-axis or the origin.
zhannawk [14.2K]

9514 1404 393

Answer:

  the origin

Step-by-step explanation:

Both terms are of odd degree, so the function is an odd function. It is symmetrical with respect to the origin.

__

If you recast this as y = f(x), then ...

  f(x) = x^(3/5)

When we look at f(-x), we find ...

  f(-x) = ((-x)^3)^(1/5) = -(x^3)^(1/5) = -(x^(3/5)) = -f(x)

An odd root of a number has the same sign as the number.

When f(-x) = -f(x), the function is odd and symmetrical about the origin.

7 0
3 years ago
Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___​
Yanka [14]

-2(x + 6) + 3 = -11x + 4(x + 4)

-2x - 12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

5x = 25

<em>x = 5</em>

Hope this helps! :)

7 0
3 years ago
The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w
aleksklad [387]

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIST AS SOON AS I CAN i thought that this one was 151.45 but it wasn't and I'm not sure what to do ​
zimovet [89]

Answer:

151.4496

Step-by-step explanation:

Take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2

5 0
3 years ago
Read 2 more answers
Put this equation into slope- intercept form. -2x + 3y = 9​
AveGali [126]

Answer:

y = 2/3x + 3

Step-by-step explanation:

In order to put it in slope intercept form (y = mx + b), y needs to be isolated.

Add 2x to both sides:

-2x + 3y = 9​

3y = 2x + 9

Then, divide both sides of the equation by 3.

3y = 2x + 9

y = 2/3x + 3 is the equation in slope intercept form

8 0
3 years ago
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