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Ann [662]
3 years ago
15

Which values from the set {2, 4, 6, 8, 10} make the inequality n + 5 > 10 true?

Mathematics
2 answers:
nadezda [96]3 years ago
5 0
D. Plug the numbers in for n. 
mr Goodwill [35]3 years ago
5 0
D, this question is basically asking which numbers in the set {2, 4, 6, 8, 10} is greater than 10 WHEN 5 is added. To solve this, just look at each number and add 5, if the result is greater than 10 then it is in the answer if not then it is not. Hope this helped!
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Step-by-step explanation:

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Ty’s experimental probability of winning a certain game is 1/3. Jana’s expiremental probability of winning the same game is 3/4.
Dafna1 [17]

Answer:

Jana is expected to win 40 more games over Ty.

Step-by-step explanation:

If Ty plays the game 120 times, he is expected to win in 1/3 part of 120 games, which is ( 1/3 * 120 =) 40 games.

If Jana plays the game 120 times, she is expected to win in 2/3 part of 120 games, which is ( 2/3 * 120 =) 80 games.

If Jana is expected to win 80 times an Ty is expected to 40 times, then Jana is expected to win ( 80 - 40 =) 40 more games over Ty.

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3 years ago
Why isn’t the maximum ACT score (36) at the 100th percentile?
irga5000 [103]

Answer and Explanations

ACT score percentile help colleges compare students with one another, rather than just looking at everyone’s score. The  score range is between 1 and 36, the highest score that one can receive on the ACT is 36. Moreover, 36 is the perfect score.

The maximum ACT score (36) is that in 2018, only 3,741 students (out of millions of test-takers) scored a perfect 36 on the ACT.  The 99th percentile of test-takers includes those who earn 35 or 34 on the ACT. We can miss up to five questions on the ACT and still earn a 36. That is a reason why the maximum ACT score is 36 at the 100th percentile.

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5 0
3 years ago
Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words pe
VikaD [51]

Answer:

36.04% probability that at most two of them would read at less than 850 words per minute

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the binomial probability distribution.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Percentage of students who read less than 850 words per minute.

Pvalue of Z when X = 850. The mean is \mu = 950 and the standard deviation is \sigma = 200

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

Z = \frac{850 - 950}{200}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85 of students read less than 850 words per minute.

If 10 students are selected at random, what is the probability that at most two of them would read at less than 850 words per minute

This is P(X \leq 2) when n = 10, p = 0.3085. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.3085)^{0}.(0.6915)^{10} = 0.0250

P(X = 1) = C_{10,1}.(0.3085)^{1}.(0.6915)^{9} = 0.1115

P(X = 2) = C_{10,2}.(0.3085)^{2}.(0.6915)^{8} = 0.2239

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0250 + 0.1115 + 0.2239 = 0.3604

36.04% probability that at most two of them would read at less than 850 words per minute

8 0
3 years ago
Function f is defined by the equation f (x) = x^2. <br> What is f (3)<br> PLZ HURRY
Alex787 [66]

Answer:

f(3) = 9

Step-by-step explanation:

f(x) = x^2

f(3) means "When x is 3" So, we substitute x with 3.

f(3) = 3^2

f(3) = 3 x 3 = 9

f(3) = 9

5 0
3 years ago
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