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nasty-shy [4]
1 year ago
13

If you select one card at random from a standard deck of 52 cards, what is the probability that the card is a five AND a club?

Mathematics
1 answer:
horsena [70]1 year ago
4 0

Probability is expressed as

number of favorable outcomes/number of total outcomes

The number of cards in a deck is 52(total outcomes)

Recall, there is only 1 five of clubs in a deck of cards(favorable outcomes)

Thus, the probability that the card is a five AND a club is 1/52

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Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B.
dexar [7]

Answer:

a. 144 cubic foot

b. 12 ft

c. 18 ft

Step-by-step explanation:

Let the volume of prism A be V_a

and that of prism b be V_b

ATQ,   V_a  +  V_b= 432

also V_a= 0.5 V_b

⇒1.5 V_b= 432

= V_b= 432/1.5= 288 cubic feet

therefore V_a= 144  cubic feet

volume of prism= area of base×height = V_a

24×h = 144

⇒h= 12 ft

A_b= 2/3×24

⇒base area of prism B= 16 sq.ft

now 16×h_b= 288⇒h_b= 288/16= 18 ft

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3 years ago
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What is the probability of rolling a dice and getting either a 1 or 2 and flipping a coin and getting a heads?
EastWind [94]

Answer:

1/3 and 1/2

Step-by-step explanation:

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3 years ago
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What is radius of 4 km?
AysviL [449]

Answer:

A) 50.3 km

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3 years ago
A student weighs a sample of the shale and
tia_tia [17]

interesting choice of pfp

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3 years ago
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If
vesna_86 [32]

Answer:

<h2>The probability is 58 %.</h2>

Step-by-step explanation:

This problem belong to a normal distribution probability.

Mean = 63.6

Standard Deviation = 2.5.

We have to find the probability of a height greater than 63.0.

Due to the normal probability, we need to find the Z score first:

Z=\frac{x-u}{o}; where x is the height, u is the mean, and o is the standard deviation.

Z=\frac{63-63.6}{2.5} \\Z= -0.24

Once we have our Z score, we find the probability with the z-table (attached). So, for a z score of -0.24 we have a probability of 0.42.

But, the problem is asking for height greater than 63.0, this mean that we have to subtract 0.42 from 1, giving as result 0.58, which means a 58% of probability,

6 0
3 years ago
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