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3 years ago

8

Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a king?

1 answer:

abruzzese [7]3 years ago

5 0

In a full 52-card deck, there are 4 kings and 4 3's, which do not overlap.
Therefore the total number of "successes" is 4+4=8 out of a 52-card deck.
=>
The probability of drawing a 3 or a king out of a 52-card deck is 8/52=2/13.

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The size of each interior angle of a regular polygon is 8 times the sizes of each exterior angle.

olga55 [171]

Answer:

20

Step-by-step explanation:

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

If each interior angle is 8 times the degree measure of each exterior angle how many sides does the polygon have. Now 8+1 = 9. Divide 180 by 9 to get 20.

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3 years ago

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3 years ago

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag

Serhud [2]

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

$f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377$

So,

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8 0

3 years ago

Assume that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standar

Annette [7]

Answer: 20

Step-by-step explanation:

We assume that the heights of boys in a high school basketball tournament are normally distributed.

Given : Mean height of boys : $\mu=70$ inches.

Standard deviation: $\sigma=2.5$ inches.

Let x denotes the heights of boys in a high school basketball tournament .

Then the probability that a boy is taller than 70 inches will be :-

$P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}$

Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

$40\times0.5=20$

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20

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3 years ago

The area of the rectangle shown is 2x^2-x-15 square units. What is the width of the rectangle?

yuradex [85]

Answer:

<h2>The width is (2x + 5) or (x - 3)</h2>

Step-by-step explanation:

The formula of an area of a rectangle:

$A=lw$

l - length

w - width

We have

$A=2x^2-x-15$

$2x^2-x-15=2x^2+5x-6x-15=x(2x+5)-3(2x+5)\\\\=(2x+5)(x-3)$

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4 years ago