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julia-pushkina [17]
3 years ago
14

A card is selected at random from a standard 52-card deck. (a) what is the probability that it is an ace? 4/52 (b) what is the p

robability that it is a heart? .25 (c) what is the probability that it is an ace or a heart
Mathematics
1 answer:
Burka [1]3 years ago
5 0
Part (a) is relatively straight forward.

There are 4 aces in a standard 52-card deck. So the probability that AN ace is picked is just 4/52.

Part (b):
Note that there are 4 suits in a standard 52-card deck. So picking hearts will be 13/52 or 1/4.

Part (c):
The probability condition OR means we need to add the two probabilities because we do not want them simultaneously. So, we end up getting Pr(ace) + Pr(heart).

From part (a), we found that picking an ace had a probability of 4/52, which is reduced down to 1/13.

From part (b), we found that picking a heart had a probability of 1/4.

So, the probability of an ace OR a heart is 1/13 + 1/4 = 4/52 + 13/52 = 17/52.

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kolbaska11 [484]
(a) m∠RQS = (1/2)m∠QPR = 37°

(b) m∠QPR = m(arc QR) = 74° . . . . . an arc has the same measure as its central angle
8 0
3 years ago
The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what
Nikitich [7]
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

5 0
3 years ago
Find the volume......
yan [13]

648 cm

To find the volume of a rectangular prism (such as the one in the picture) you would do:

V=L*W*H

So plugging the numbers in:

V=18*12*3


5 0
3 years ago
What is the square root of 647
mars1129 [50]

Answer:

Step-by-step explanation:

Air pressure is measured in pascals. For a professional American football game, the ball should be inflated to about 90,000 pascals. Scientists studied the effects of air temperature on the pressure inside American footballs by taking these steps:

1. Prepare 100 footballs.

2. Measure each football's air pressure.

3. Divide footballs into 10 groups.

4. Place the groups in different lockers cooled to different air temperatures.

5. After 12 hours, remove the footballs from lockers.

6. Measure each football’s pressure again.

7. Compare the new pressures to the starting pressures.

What two terms best describe the variable "air pressure inside the football" in this experiment?

independent, qualitative

independent, quantitative

dependent, qualitative

dependent, quantitative

5 0
3 years ago
Read 2 more answers
COLLEGE PREP In the diagram, mLAGC = 38°, m/CGD=71°, and m/FGC = 147 °. Which of the following
Cerrena [4.2K]

The statements that are true are:

A. m<AGB = 19°

D. <BGD is a right angle

<h3>What is a Right Angle?</h3>

A right angle is an angle that measures 90 degrees.

Given the diagram, where:

m<AGC = 38°,

m<CGD = 71°,

m<FGC = 147°

We have the following measures:

1/2(m<AGC) = m<AGB

1/2(38) = 19°

m<CGD + m<AGC = m<BGD

Substitute

71 + 19 = m<BGD

90 = m<BGD

m<BGD = 90° [this is a right angle].

Therefore, the statements that are true are:

A. m<AGB = 19°

D. <BGD is a right angle

Learn more about right angle on:

brainly.com/question/64787

#SPJ1

5 0
1 year ago
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