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3 years ago

Which of the following binomials is a factor of x cubed plus 4 x squared plus x minus 6?

1 answer:

7 0

The first thing we are going to do in this case is to rewrite the expression.
We have then:
x ^ 3 + 4x ^ 2 + x - 6
Factoring the expression we have:
(x-1) * (x + 2) * (x + 3)
Therefore, we observe that the following binomial is a common factor:
(x + 2)
Answer:
B. x plus 2

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If the scale factor of the model train to a real train is 1:43, what is the length of the model if the actual train is 645 inche

OleMash [197]

The answer is 15 inches.
To get the answer divide the real length by 43.
645÷43=15

6 0

3 years ago

PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!

horrorfan [7]

Answer:

500^1/3

Step-by-step explanation:

Since it is a cube root, the exponent is 1/3.

8 0

2 years ago

Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns

Mnenie [13.5K]

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than 7/5

So, the equation would be

y = 1.25m + 1 ...........................(i)

And,

y= 1.4m -2 .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

6 0

3 years ago

What is the quotient of 2 1/4 and 5/8?

Akimi4 [234]

Answer:

Step-by-step explanation:

3 0

3 years ago

A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis

VMariaS [17]

Answer:

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

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".

$\bar X=320128$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=50324$ represent the population standard deviation

n=529 represent the sample size

Solution to the problem

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

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

8 0

3 years ago