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Leto [7]
3 years ago
11

Long division 12p^5+20p^4+18p^2+45p+25/3p+5

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

4p^4+6p+5

Step-by-step explanation:

Given

\frac{12p^5+20p^4+18p^2+45^p+25}{3p+5}

Step 1:

Now Dividing the above Equation our first quotient will be 4p^4 and First remainder will be 18p^2+45p

Step 2:

Now Dividing the First remainder 18p^2+45p with 3p+5

now our second Quotient will be 4p^4+6p and Second remainder will be 15p+25

Step 3:

Now Dividing Second remainder 15p+25 with 3p+5

now our third Quotient will be 4p^4+6p +5 and Remainder will be 0.

\therefore Our Final Answer is 4p^4+6p +5 with remainder 0

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yan [13]

Answer:

can't you do it by yourself

Step-by-step explanation:

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3 0
2 years ago
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A demographer wants to measure life expectancy in countries 1 and 2. Let μ1 and μ2 denote the mean life expectancy in countries
Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

7 0
3 years ago
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
3 years ago
In circle o, mZWBY = 72°.
likoan [24]

Answer:

Answer is B. 36 degrees

Step-by-step explanation:

From the diagram,

angle WBY = 2 × angle WXY

angle WBY = 72°

angle WXY =

\frac{angle \: WBY}{2}

=  \frac{72}{2}

= 36 \: degrees

7 0
3 years ago
Write the equation of the line that passes through the point ( -6 , 2 ) and is parallel to the line y = 1/2x + 4.
SashulF [63]
Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.

Let's solve for b.

2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b

y = 1/2x + 5
8 0
3 years ago
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