I WILL GIVE YOU BRAINLY PLSS

Pick 3 cards from a standard 52-card deck. Find the P(of at least 1 red card).

kkurt [141]

Answer:P(BBR) = 1/2 × 25/51 × 26/50 = 13/102 if cards are not replaced.

P(RBB) = 1/2 × 26/51 × 25/50 (simplified 1/2) = 13/102

P(BRB) = 1/2 × 26/51 ×25/50 (simplified 1/2) = 13/102

Step-by-step explanation: P(B) at first step is 26 cards out of a possible 52 therefore 26/52 (or simplified 1/2). We then have 25 black cards left out of a possible 51 therefore 25/51. The final card then has to be red to meet the criteria, we have 26 red cards still out of a possible 50 therefore 26/50.

This would be an example of binomial probability as at each step there are only 2 options R or B.

8 0

2 years ago

Given the two rectangles below. Find the area of the shaded region. 4 4 9 3

LuckyWell [14K]

Answer:

60

Step-by-step explanation:

The shaded region's area is the difference between the area of the outer rectangle and the white rectangle.

area = LW - lw

area = (4 + 4)(9 + 3) - (4)(9)

area = (8)(12) - 36

area = 96 - 36

area = 60

4 0

1 year ago

Shortly before the 1932 presidential election, a national magazine conducted a telephone survey of voters.Based on the results o

Shtirlitz [24]

Wow that’s cool to know

3 0

2 years ago

Read 2 more answers

What is the sum of the geometric series?

Alla [95]

Answer:

40

Step-by-step explanation:

The given geometric series is:

$\sum_{n=1}^4(-2)(-3)^{n-1}$ .

When n=1, $a_1=(-2)(-3)^{1-1}$ , $\implies a_1=(-2)(-3)^{0}=-2$

When n=2, $a_2=(-2)(-3)^{2-1}$ , $\implies a_2=(-2)(-3)^{1}=6$

When n=3, $a_3=(-2)(-3)^{3-1}$ , $\implies a_3=(-2)(-3)^{2}=-18$

When n=4, $a_4=(-2)(-3)^{4-1}$ , $\implies a_4=(-2)(-3)^{3}=54$

The sum of the given series is:

-2+6-18+54=40

6 0

2 years ago

Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).

densk [106]

Answer:

36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

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<h3>Geometry</h3>

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

A = bh = 9×7 = 63

So, the area of the figure is the difference ...

A = 63 -26.5 = 36.5 . . . square units

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The other methods of finding the area have been added as attachments.

6 0

2 years ago