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3 years ago

How do i write and a expression for 5 times the number 25 and then subtract the quotient

1 answer:

6 0

"5 times the number 25" is just 25 multiplied 5 times. Then "the quotient of 14 and 7" is just 14 divided by seven. You need the parenthesis because of the PEMDAS rule. Am expression is nt the same as an equation. An equation has an equals sign, an expression does not. So the final expression would be:

(5 x 25) - (14 / 7)

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Solve.<br> 9x + 6y = -3<br> y = -8

klio [65]

Answer:

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

6 0

3 years ago

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Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its center

algol13

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

Or, you can use the correct equation, or just your knowledge of revolutions:

h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

4 0

3 years ago

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explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction.

Slav-nsk [51]

The answer is 29
Because

Um

I really don’t know I’m so sorry hey

6 0

3 years ago

Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i

Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

Thus, the quantity of the Bismuth-210 after 8 days would be,

$A=P(1-\frac{r}{100})^8$

$=233(1-\frac{13}{100})^8$

$=233(1-0.13)^8$

$=233(0.87)^8$

$=76.4733194697$

$\approx 76.5\text{ mg}$

3 0

3 years ago

Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of

Oduvanchick [21]

Answer:

a) The company should expect to replace 11.51% of its batteries.

b) 35 months.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 43.8, \sigma = 6.5$

(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace?

This is the pvalue of Z when X = 36. Then

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

$Z = \frac{36 - 43.8}{6.5}$

$Z = -1.2$

$Z = -1.2$ has a pvalue of 0.1151.

The company should expect to replace 11.51% of its batteries.

(b) If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?

The warranty should be the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

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

$-1.28 = \frac{X - 43.8}{6.5}$

$X - 43.8 = -1.28*6.5$

$X = 35.48$

To the nearest month, 35 months.

7 0

3 years ago