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Vera_Pavlovna [14]
3 years ago
9

What divisor is represented by the synthetic division below?  –5 5 x + 5 x – 5

Mathematics
2 answers:
NISA [10]3 years ago
6 0

The correct answer is X+5

Tju [1.3M]3 years ago
4 0
For this case, the dividend is given by:
 2x ^ 3 + 10x ^ 2 + x + 5

 We note that the following numbers:
 2, 10, 1, 5
 They are the coefficients of the polynomial and they are in the upper part of the division.
 The number -5 is the opposite value of the divisor constant.
 Therefore, the divisor is given by:
 x + 5
 Answer:
 
The divisor is:
 
x + 5
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Phoenix [80]
-12x + 15y + 15x
3x + 15y
4 0
3 years ago
2 and one half divide by one fourth
solmaris [256]
Hi,

2 \frac{1}{2}  \div  \frac{1}{4}   \\ 2 \frac{2}{4}  \div  \frac{1}{4}  = 10

Hope this helps.
r3t40
3 0
3 years ago
The owner of Matt’s Gas Station wants to study gasoline purchases of customers at his station. In 2017, the mean amount of gas
gulaghasi [49]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 9

For the alternative hypothesis,

µ ≠ 9

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 9

x = 9.9

σ = 2.5

n = 50

z = (9.9 - 9)/(2.5/√50) = 2.55

Looking at the normal distribution table, the probability corresponding to the area above the z score is 1 - 0.99461 = 0.00539

Recall, population mean is 9

The difference between sample sample mean and population mean is 9.9 - 9 = 0.9

Since the curve is symmetrical and it is a two tailed test, the x value for the left tail is 9 - 0.9 = 8.1

the x value for the right tail is 9 + 0.9 = 9.9

These means are higher and lower than the null mean. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area. We already got the area above the z score as z = 0.00539

We would double this area to include the area in the left tail of z = - 2.55. Thus

p = 0.00539 × 2 = 0.01078

Since alpha, 0.01 < 0.01078, we would reject the null hypothesis

But we are told to use the critical value approach, then

Since α = 0.01, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.01/2 = 0.005

The z score for an area to the left of 0.005 is - 2.575

For the right, α/2 = 1 - 0.005 = 0.995

The z score for an area to the right of 0.995 is 2.575

In order to reject the null hypothesis, the test statistic must be smaller than - 2.575 or greater than 2.575

Since - 2.55 > - 2.575 and 2.55 < 2.575, we would reject the null hypothesis. This corresponds to our previous decision.

b) we would assume normal distribution because the sample size is sufficiently large and the population standard deviation is known.

c) Confidence interval is written in the form,

(Sample mean ± margin of error)

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

The z score for confidence level of 99% is 2.58

Margin of error = 2.58 × 2.5/√50 = 0.91

Confidence interval = 9.9 ± 0.91

The lower end of the confidence interval is

9.9 - 0.91 = 8.99

Therefore, p = 9 will be contained in the interval.

4 0
3 years ago
Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
In 1929 Edwin Hubble investigated the claim that distance (explanatory) and radial velocity (response) of extragalactic nebulae
Serhud [2]

Answer:

honestly this is very confusing could you send a graph?

Step-by-step explanation:

5 0
3 years ago
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