Solve for c. 2a + 3b = c Please help as soon as possible. Thanks! =D

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

Answer:

a = c - 3b/2

Step-by-step explanation:

2a + 3b - 3b = c - 3b

2a = c - 3b

2a/2 = c/2 - 3b/2

therefore your answer is a = c - 3b/2

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the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME!

noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0

3 years ago

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation

liraira [26]

Answer:

d. 76.98%

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:

$\mu = 40000, \sigma = 5000$