All categories

3 years ago

Solve for the variable. 3/4x = -24

Mathematics

2 answers:

sleet_krkn [62]3 years ago

8 0

Hello!

Answer:

$\huge\boxed{x = -32}$

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

sattari [20]3 years ago

5 0

Answer:

x = -32

Step-by-step explanation:

To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.

3/4x = -24 Multiply by 4 on both sides of the equation.

4(3/4)x = -4(24) Distribute.

3x = -96 Divide by 3 on both sides of the equation.

x = -32

You might be interested in

A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products

tester [92]

Answer:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=22$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size

ME = 2 represent the margin of error accepted

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (3)

We can use as estimator for the population deviation the sample deviation $\hat \sigma = s$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (3) we got:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

6 0

3 years ago

Need help understanding this problem please

faust18 [17]

f(g(x)) is a composite function:

$f(g(x))=f(\sqrt{x+5})=2\sqrt{x+5}-1$

Plug in <em>x</em> = 4:

$f(g(4)) = 2\sqrt{4+5}-1=2\sqrt9-1=2\cdot3-1=\boxed{5}$

so the answer is C.

7 0

3 years ago

(4y-4)=(10x+65) answer please?

icang [17]

Answer:

Step-by-step explanation:

4y-4=10x+65, this can be expressed in many ways...

4y-10x-4-65=0

4y-10x-69=0 or

4y=10x+69

y=(10x+69)/4

3 0

2 years ago

Each weekday Davina rides her bike from her house to school. After school, she rides to the library. Then Davina takes the same

marin [14]

Answer:

I believe the answer is 20

Step-by-step explanation:

She rides from her house to school which is 4 kilometers. Then she rides from school to the library which is 6 kilometers. The total so far is 10 kilometers.The question then says she takes the same route home so you would multiple 10 by 2 so the answer should be 20 kilometers

3 0

2 years ago

Read 2 more answers

In November, the Sport Shop sold

Neko [114]

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

5 0

2 years ago

Solve for the variable. 3/4x = -24​

Solve for the variable. 3/4x = -24