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3 years ago

How to solve 5a + c = -8a

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Solve for a:

$5a+c=-8a\ \ \ |-c\\\\5a=-8a-c\ \ \ |+8a\\\\13a=-c\ \ \ |:13\\\\\boxed{a=-\dfrac{c}{13}}$

Solve for c:

$5a+c=-8a\ \ \ \ |-5a\\\\\boxed{c=-13a}$

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What is the greatest common factor if 9 and 15

iVinArrow [24]

Answer:

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

3 0

2 years ago

Anybody can I know is this the working and the answer are right? If any wrong plssss tell me..

Alex

Answer:

$\boxed{Domain = \{3,6,9\}}$

$\boxed{Range = \{9,18\}}$

Step-by-step explanation:

The relation is:

=> {(3,9)(3,18)(6,18)(9,18)}

Domain => x inputs of the ordered pair

Domain = {3,6,9}

Range => y inputs of the ordered pair

Range = {9,18}

7 0

3 years ago

Convert this number to a percent. .000103 = _____

tangare [24]

The answer should be 0.0103%.

3 0

3 years ago

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data

Rasek [7]

Answer: a. 1.981 < μ < 2.18

b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

$\overline{x}=\frac{\Sigma x}{n}$

$\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}$

$\overline{x}=$ 2.08

Now, we estimate standard deviation:

$s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }$

$s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }$

s = 0.1564

For t-score, we need to determine degree of freedom and $\frac{\alpha}{2}$ :

df = 12 - 1

df = 11

$\alpha$ = 1 - 0.95

α = 0.05

$\frac{\alpha}{2}=$ 0.025

Then, t-score is

$t_{11,0.025}$ = 2.201

The interval will be

$\overline{x}$ ± $t.\frac{s}{\sqrt{n} }$

2.08 ± $2.201\frac{0.1564}{\sqrt{12} }$

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0

2 years ago

Which expressions are factors of the expression<br><br> -24xyz - 12xy + 20xyz

Alex17521 [72]

Answer:

2xy

Step-by-step explanation:

A factor is a number of term you can factor out of each part of the expression/ or divide it by.

In -24xyz - 12xy + 20xyz

All three parts have xy, so it is a factor

All three don't have 12xz, because -12xy doesn't have z variable for instance.

All three have 2xy.

All three can't factor out 3y, because you can't divide 20 by 3 nicely.

All three can't factor out 4yz, because middle term -12xy doesn't have z.

All three can't factor out 12, because you can't nicely divide 20/12.

All three can factor out 4, because -24, -12, and 20 are all divisible by 4.

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6 0

2 years ago