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kvv77 [185]
3 years ago
15

The probability that both of two tossed coins will come down heads is _____. 1/4 1/8 1/16

Mathematics
1 answer:
Elza [17]3 years ago
8 0
<span>The probability of getting heads with both coins being tossed is 1/4. The probability of getting a heads on one coin is 50% (or 1/2) since there is only two possible outcomes, heads or tails. When you factor in two coins, you have to multiply the probabilities together, 1/2 x 1/2, which is how you get the answer of 1/4 or 25%. Another way to reinforce this is that there are 4 possible outcomes to the flips. You could get a heads-heads, tails-heads, heads-tails, or tails-tails. Getting the heads-heads result is 1 out of 4 or 1/4 (25%).</span>
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Answer:

Step-by-step explanation:

If you have written g(x) correctly then g(-5) = 3.40 - 8 = -4.6

If you meant to write g(x) = 3.40x - 8, then g(-5) = -25

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Suppose we want to choose 7 objects, without replacement, from 10 distinct objects.
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= 604800

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2 years ago
What is 2x+5=y and 5x+4=y pls hurry
Sergeu [11.5K]

Answer:

( 1/3, 5 2/3) Or (0.33, 5.66)

Step-by-step explanation:

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3 years ago
A new roller coaster at an amusement park requires individuals to be at least​ 4' 8" ​(56 ​inches) tall to ride. It is estimated
Maksim231197 [3]

Answer:

a) 34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b) 78.81% of​ 10-year-old boys is tall enough to ride this​ coaster

c) 44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 54, \sigma = 5

a. What proportion of​ 10-year-old boys is tall enough to ride the​ coaster?

This is 1 subtracted by the pvalue of Z when X = 56.

So

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

Z = \frac{56 - 54}{5}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

1 - 0.6554 = 0.3446

34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b. A smaller coaster has a height requirement of 50 inches to ride. What proportion of​ 10-year-old boys is tall enough to ride this​ coaster?

This is 1 subtracted by the pvalue of Z when X = 50.

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

Z = \frac{50 - 54}{5}

Z = -0.8

Z = -0.8 has a pvalue of 0.2119

1 - 0.2119 = 0.7881

78.81% of​ 10-year-old boys is tall enough to ride this​ coaster.

c. What proportion of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a?

Between 50 and 56 inches, which is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

From a), when X = 56, Z has a pvalue of 0.6554

From b), when X = 50, Z has a pvalue of 0.2119

0.6554 - 0.2119 = 0.4435

44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

5 0
3 years ago
2.2.2.2.2.2.2exponential form
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2^7

(2 to the 7th power)
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