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3 years ago

Match the following equation to the correct situation.

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

Answer:

A. Last month's electricity bill was 5.4 kW-h less than 30% of this month's bill.

Step-by-step explanation:

The given expression is:

$30\%(b-18)=30\%b-5.4$

The above expression tells us that 30% is of the quantity 'b' and 5.4 is being subtracted from the result of the percentage.

Choice A:

If we consider the present month's bill as 'b'. Then 30% of present month's bill can be represented as 30% of b = 30%b.

Now, if the previous month's bill is 5.4 kW-h less than 30% of this month's bill, then this statement can be represented as:

Previous bill = 30% of Current bill - 5.4 = $30\%b-5.4$

Hence, choice A justifies the given expression.

Choice B:

The expression for choice B could be number of songs available for download from 30% of 'b' artists is $30%b$ .

Choice C:

5.4 speeches doesn't make any sense.

Choice D:

5.4 less than 'b' bowls mean $b-5.4$ . Now, 30% of this is $30%(b-5.4)=30%b-30%(5.4)$ .

This is also not the correct expression.

Therefore, only choice A is the correct justification of the given expression.

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For the most recent year available, the mean annual cost to attend a private university in the United States was $20,307. Assume

Maksim231197 [3]

Answer:

27,361.

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:

$\mu = 20307, \sigma = 4275$

Ninety-five percent of all students at private universities pay less than what amount?

This is the 95th percentile, that is, X when Z has a pvalue of 0.95. So X when Z = 1.65.

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

$1.65 = \frac{X - 20307}{4275}$

$X - 20307 = 1.65*4275$

$X = 27,361$

So the answer is 27,361.

7 0

3 years ago

Tapiwa raked 5% more leaves than Adam raked. Together, they raked 697 liters of leaves. How many liters of leaves did Adam rake?

EleoNora [17]

Assume that the number of leaves raked by Adam is x.
Tapiwa raked 5% more leaves than Adam, this means that:
Leaves raked by Tapiwa = x + 0.05x = 1.05x liters
We are given that the total number of raked leaves is 697 liters.
This means that:
Total raked = raked by Adam + raked by Tapiwa
697 = x + 1.05x
697 = 2.05x
x = 697 / 2.05
x = 340
Based on the above calculations:
Adam raked 340 liters of leaves
Tapiwa raked 1.05(340) = 357 liters of leaves

7 0

3 years ago

Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account

Elan Coil [88]

Answer:

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

4 0

3 years ago

Will calculators or computers be needed to perform some calculations?

STatiana [176]

I think the answer would be no. We create computers so we can do the problems ourselves. maybe eventually the asnwer will be yes, but for now i think they just solve equations quicker than the average human brain. hope this helps!

7 0

3 years ago

Read 2 more answers

{[20/(8+2)]^6+6}/(4^2/2)

Naddika [18.5K]

So for this problem we need to do order of operations so the very first step that we need to do here is (8+2) because that is the smallest enclosed symbols (8+2)=10 next divide by 20 because that is the next step in the equation which 20/10=2, so now we have {[2]^6+6} and due to order of operations the next step here is to take 2 to the power of 6 which is 64 so now we have {64+6} which is 70 so now we have 70/(4^2/2) and due to order of operations we do the parentheses first and that would mean that we do 4^2 because exponents come after parantheses like so,
70/(16/2) now we do 16/2 because its still inside the paranthesess so 16/2=8 so now we have 70/8 and that equals are end answer of 8.75 Enjoy!=)

7 0

3 years ago

Read 2 more answers