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spayn [35]
4 years ago
7

What is the solution to the inequality? -2(X+3) +5x >9

Mathematics
1 answer:
Artist 52 [7]4 years ago
7 0

Answer: x>5


Step-by-step explanation:

1. You have the following inequality given in the problem:

-2(x+3)+5x>9

2. You must solve for x.

3. First, apply the Distributive property:

-2x-6+5x>9

4. Now, add the like terms, as following:

-2x+5x>9+6\\3x>15

5. The result is:

x>\frac{15}{3}\\x>5

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the average pieces of candy eaten by children in your neighborhood on halloween has a normal distribution with a mean of 14 and
Alecsey [184]

Answer:

21.19% eat less than 10 pieces of candy on halloween

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 14, \sigma = 5

What percentage eat less than 10 pieces of candy on halloween

This is the pvalue of Z when X = 10.

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

Z = \frac{10 - 14}{5}

Z = -0.8

Z = -0.8 has a pvalue of 0.2119

21.19% eat less than 10 pieces of candy on halloween

7 0
3 years ago
Which answer is equal to<br> 792<br> -i<br> 1<br> 2<br> 3
Katena32 [7]

Answer:

-i

Step-by-step explanation:

i^{79}\\ i^{76+3}\\ i^{3}\\-i

3 0
4 years ago
Martin tosses 4 pennies, what is the probability that at least 3 coins land on heads?
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The probability is .25 or 25%
6 0
3 years ago
What does the line 5x+2y=8 look like?
cestrela7 [59]
The correct answer would be D. The plot of the line 5x+2y = 8 is slanted right downwards. To predict, we write the equation into slope-intercept form as follows:

y = mx + b        where m is the slope and b is the y-intercept form

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y = -5x/2 + 4

As we can see, the slope is negative so the graph should slope to the right downwards.
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