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Usimov [2.4K]
3 years ago
8

Solve the inequality

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

x greater than or equal to 26

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On Venus the person is 153 lbs and on Mars it is 102 lbs.The difference is 51 lbs
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Write a scenario that could work for the following line of best fit:
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Scenario: A kid initially has 7.6 dollars and is given 0.2 dollars every weekend. The slope here is the 0.2. This is the value or increment in which the money is increasing. The y-intercept is the value we obtain from the equation when we set x to zero. Similarly speaking, this is the original value which is 7.6. 
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According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin
UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

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.

For proportions p in a sample of size n, we have that \mu = p, \sigma = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

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

Z = \frac{0.85 - 0.82}{0.0384}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

5 0
3 years ago
Your drawer has 5 pairs of black socks, 4 pairs of gray socks, 2 pairs of white socks, 1 pair of brown socks, and 1 pair of blue
Sergeeva-Olga [200]
5 pairs of black socks*2 because it’s a pair= 10 socks
4 pairs of grey socks*2=8
2 pairs of white socks*2=4
1 pair of brown socks*2=2
1 pair of blue socks*2=2
10 socks+8 socks+4 socks+2 socks+ 2 socks=26 socks in total
26/2=13+1 because you need to be sure you get one pair of socks. The smallest amount of socks you would have to grab to get at least one matching pair is 14 socks.
7 0
3 years ago
Please help will mark Brainly
SIZIF [17.4K]

The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.

<h3>What is the equation?</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - y = 1

Substitute, x = -2

3(-2) - y = 1

y = -7 thus  (-2,-7) satisfied.

Similarly (-1,-4) and (3,8) are also satisfied.

Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".

For more about the equation,

brainly.com/question/10413253

#SPJ1

7 0
1 year ago
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