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3 years ago

(14-8) × (15-4) Use the order of operations to find the value of each expression

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

the order of operations is the acronym PEMDAS which stands for:

P: Parentheses

E: Exponents

M & D: Multiplication and Division

A & S: Addition and Subtraction

we do these in order, from left to right in the equation

for the equation (14 - 8) x (15 - 4), we would start with solving the parentheses

there are 2 sets of parentheses, so we will go from left to right in solving it:

(14 - 8) = 6

(15 - 4) = 11

we replace the values we have found from the parentheses into the equation

6 x 11

now we go through the list

we can already eliminate exponents because there are none in this equation

the next step is multiplication & division, in this equation there is only multiplication, so we multiply 6 x 11 which gives us the answer 66

there is nothing left for us to do at this point, so 66 is our final answer

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3 years ago

$1210 is invested in an account earning 11.5% interest compounded monthly. What is the balance at the end of 13 years? Group of

kap26 [50]

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Final amount = $5357.52

Step-by-step explanation:

Formula to be used,

Final amount = $\text{Initial amount}\times (1+\frac{r}{n})^{nt}$

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3 years ago

Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the la

o-na [289]

Answer:

0.6568 = 65.68% probability that she would be correct.

Step-by-step explanation:

When the distribution is normal, we use 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.

45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.

This means that:

$\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000$

Standard deviation of 1500 units.

This means that $\sigma = 1500$

What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?

This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So

X = 46000

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

$Z = \frac{46000 - 45000}{1500}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486

X = 43000

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

$Z = \frac{43000 - 45000}{1500}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.7486 - 0.0918 = 0.6568

0.6568 = 65.68% probability that she would be correct.

5 0

3 years ago

If the half-life of aspirin in the bloodstream is 5 hours, how much aspirin is left in the bloodstream 12 hours after 1000 milli

Tom [10]

$\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1000\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &5 \end{cases} \\\\\\ A=1000\left( \frac{1}{2} \right)^{\frac{12}{5}}\implies A\approx 1000\cdot 0.189\implies A\approx 189$

8 0

3 years ago