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3 years ago

Given f(3) = 5x + 5, find f(-4).

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

f(-14)=-15

Step-by-step explanation:

What ever is in the parentheses after the letter (in this case it's f) will be the x value since f(x).

f(-4)=5(-4)+5

Then solve.

f(-4)=-20+5

f(-4)=-15

-15

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3 years ago

Twelve cows produce 224,988 pounds of milk. Find the unit rate in pounds per cow.

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3 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Nataliya [291]

Answer:

C. 34.15 oz

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:

$\mu= 33, \sigma = 0.7$

How heavy does a box have to be for it to be labeled overweight?

Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.

So X when Z = 1.645.

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

$1.645 = \frac{X - 33}{0.7}$

$X - 33 = 0.7*1.645$

$X = 34.15$

So the correct answer is:

C. 34.15 oz

4 0

3 years ago

Seven is 3 less than twice the number m

aleksley [76]

Answer:

m=5

Step-by-step explanation:

Let the number be represented by m.

Then twice the number m is represented as 2* m or 2m.

3 less than twice the number m = 2m -3

As per the question this value is 7.

Representing this in equation format:

=> 2m-3 = 7

=> 2m = 7+3 = 10

=> m= 10/2 = 5

Hence the number m is given by 5.

Verification:

Twice the number = 2* 5 = 10

3 less than twice the number m = 10 -3 = 7

This is the same as 7 as per the requirement.

3 0

3 years ago

Read 2 more answers