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IRINA_888 [86]
3 years ago
9

Solve the inequality. 1/3b + 1 < -6​

Mathematics
2 answers:
olga_2 [115]3 years ago
5 0

Answer:

b<-21

Step-by-step explanation:

1/3b+1<-6

1/3b<-7

*3     *3

b<-21

nadezda [96]3 years ago
4 0

Answer:

b <  - 21

Step-by-step explanation:

\frac{1}{3} b + 1 < - 6 ( subtract 1 from both sides )

\frac{1}{3} b < - 7 ( multiply both sides by 3 to clear the fraction )

b < - 21

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Step-by-step explanation:

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2 years ago
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8 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
Identify the slope and y-intercept for each equation below.<br> y=2x-5
sammy [17]

Answer:

Slope=2

y-intercept=-5

Step-by-step explanation:

This equation is in the form of y=mx+b

m is the slope and b is the y-intercept.

Therefore, the slope is 2 and the y-intercept is -5

5 0
2 years ago
Read 2 more answers
1/2+2/3 PLEASE HELP AND DONT DO IT LIKE 1.083333333 MY TEACHER DOESNT ALLOW THAT PLEASE HELP ME
777dan777 [17]

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

7 0
2 years ago
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