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2 years ago

Which of the following is in the solution set to 3x - y = 12? (hint: what

Mathematics

1 answer:

expeople1 [14]2 years ago

5 0

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

You might be interested in

Gerald borrowed $750 at 7% simple interest to be paid back in 2 years. How much interest will he pay?

Lisa [10]

Answer:

$105 interest

Step-by-step explanation:

$S.I=\frac{PRT}{100}$

$S.I= \frac{750*7*2}{100}$

Interest = $105

5 0

2 years ago

One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a

KATRIN_1 [288]

Answer:

movie: $3.75
video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

3m +5v = 40

9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

ax +by = c
dx +ey = f

is given by ...

∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆

For the numbers above,

∆ = 5·9 -7·3 = 24
m = (5·74 -7·40)/24 = 90/24 = 3.75
v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0

3 years ago

Express each rate as a unit rate. (5points each)

neonofarm [45]

To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.

For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.

Likewise for the other question it would be 270/15.

5 0

3 years ago

Suppose that a fast food restaurant decides to survey its customers to gauge interest in a breakfast menu. After surveying multi

Harlamova29_29 [7]

Answer:

$ME= \frac{Width}{2}=\frac{0.078}{2}=0.039$

$\hat p =0.688+0.039=0.727$

$\hat p =0.766-0.039=0.727$

Step-by-step explanation:

Assuming that the confidence interval is (0.688; 0.766)

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

Use the confidence interval to find the point estimate and margin of error for the proportion

The margin of error is given by :

$Me=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And for our case we can find the width of the confidence interval like this:

Width =0.766-0.688=0.078

And the estimation for the margin of error would be given by:

$ME= \frac{Width}{2}=\frac{0.078}{2}=0.039$

Now we can find th point of estimate adding the margin of error to the lower limit of the interval or subtracting the margin of error to the upper limit, like this:

$\hat p =0.688+0.039=0.727$

$\hat p =0.766-0.039=0.727$

4 0

3 years ago

Please give the correct answer and the solution if you can

Klio2033 [76]

Answer:

the answer is b the solution is 6

4 0

3 years ago