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hoa [83]
2 years ago
14

If a coin is tossed 4 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn f

rom a standard deck of 52 cards without replacement, how many different outcomes are possible?
Mathematics
2 answers:
forsale [732]2 years ago
8 0

Answer there are 3 outcomes

Step-by-step explanation:

Ivanshal [37]2 years ago
6 0

Answer:

89,820,057,600.

Step-by-step explanation:

For the number of ways 5 cards can be taken from a standard 52 card deck, there are 52 choices for the first card. After the first card is chosen, there are 51 choices remaining for the second card. Following this pattern, you will the total number of ways the 5 cards can be chosen being 52 x 51 x 50 x 49 x 48 = 311,875,200. Or, you can also use the permutation of 52 cards taken 5 at a time which is 52!/(52 – 5)! = 311,875,200.

Hence, the total number of outcomes for all the above is 8 x 36 x 311,875,200 = 89,820,057,600.

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What is the ratio of the number of cherry slices to the number of orange slices in the medium size bag of candy?
Temka [501]

Answer:

A

Step-by-step explanation:

There are 10 cherry slices and 40 orange slices in the medium bag. So, 10 to 40 simplifies to a ratio of 1 to 4.

5 0
3 years ago
If y=(sec^-1x)^2, then show that x^2(x^2-1) d^2y/dx^2 + (2x^3 - x) dy/dx = 2
Arisa [49]

Step-by-step explanation:

Hope it helps you in your learning process.

8 0
3 years ago
A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What are the measures of the
Paha777 [63]
11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall

exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
7 0
3 years ago
What is the surface area of a rectangular prisim with dimensions 5ft, 6ft, and 7ft.
djyliett [7]

Ok the formula for this is 2(lw +hw+hL)

2(30+35+42)=2(107)=214 square feet

8 0
2 years ago
Read 2 more answers
A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

Z = \frac{X - \mu}{\sigma}

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

7 0
3 years ago
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