8ax+2b+10=30 Based on the equation above, what is the value of 4ax+b?

1 answer:

s2008m [1.1K]2 years ago

8 0

The value of 4ax + b is 10 given that based on the equation 8ax + 2b + 10 = 30. This can be obtained by simplifying the given equation.

<h3>What is the value of 4ax + b ?</h3>

Here in the question it is given that,

the given equation is 8ax + 2b + 10 = 30

based on the equation we have to find the value of 4ax + b

To find the value of 4ax + b first simplify the given equation,

Given the equation,

8ax + 2b + 10 = 30

10 is subtracted from both sides so that we get,

8ax + 2b + 10 - 10 = 30 - 10

8ax + 2b = 20

Common factor 2 is taken out so that we get,

2(4ax + b) = 2 × 10

Common factor 2 is cancelled from both sides of the equation so that we get,

4ax + b = 10

Hence the value of 4ax + b is 10 given that based on the equation 8ax + 2b + 10 = 30.

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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

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Answer:

The data item is $X = 580$

Step-by-step explanation:

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.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$