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BaLLatris [955]
3 years ago
8

Divide x^4 + 7 by x - 3.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

c

Step-by-step explanation:

Divide using synthetic division, remembering to place a zero to denote the terms x³, x² and x

Since division by (x - 3) then evaluate using h = 3

3 | 1  0  0  0  7

    ↓

    1    3  9  27 81

   ----------------------

    1  3  9  27  88 ← degree 3 polynomial

quotient = x³ + 3x² + 9x + 27 , remainder = 88 → c

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A researcher believes that 12% of a simple random sample of adults will be able to identify a Toyota Scion by brand and model na
DochEvi [55]

Answer: 650

Step-by-step explanation:

When prior estimate of population proportion is known , then the formula to find the required sample size is given by :-

n=p(1-p)(\dfrac{z^*}{E})^2

, where p= population proportion

E= margin of error

z* = Critical value.

Let p be the proportion of adults able to identify a Toyota Scion by brand and model name.

As per given , we have

p = 12%= 0.12

E= 2.5%=0.025

Critical value for 95% confidence interval : z* = 1.960  [By z-table ]

Then, the required sample size = n=(0.12)(1-(0.12))(\dfrac{1.96}{0.025})^2

n=(0.1056)(78.4)^2

n=(0.1056)(6146.56)

n=649.076736\approx650

Thus , the required sample size = 650

6 0
3 years ago
The median of the following data will ________________________ when you in add a data value of 1? (DO MATH on paper!) 8, 9, 9, 4
svlad2 [7]

Answer:

B decrease

Step-by-step explanation:

First, lets put the numbers in order from greatest to least.

10 9 9 8 6 4 4

Second, let's find the median without number 1. (The median is in bold.)

10 9 9 8 6 4 4

Third, let's add the number 1.

10 9 9 8 6 4 4 1

Fourth, let's find the median with the number 1.

10 9 9 8 6 4 4 1

Since there are two numbers in the middle let's find the average between them.

8+6=14

14/2= 7

Last, let's compare the two medians.

8>7

So when you add the number 1 the median decreases. So your answer is B decrease

7 0
3 years ago
Which rational number is NOT greater than point A?
kramer

Step-by-step explanation:

) Every positive rational number is greater than 0. 

(ii) Every negative rational number is less than 0.

(iii) Every positive rational number is greater than every negative rational number. 

(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. 

(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right

b

5 0
3 years ago
. A survey showed that 1/3 of the students in the class liked blue. I/4 of the remainder liked red. The remaining 24 students li
Olin [163]

Answer:

34

Step-by-step explanation:

sdfsfsfdsdfsdfsdfsfsdfsdfsd

5 0
3 years ago
What is the address of the element 14 in Matrix D
MAXImum [283]

Answer:

A.)D23

Step-by-step explanation:


6 0
4 years ago
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