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Svetradugi [14.3K]
3 years ago
14

(5x^4 - 3x^3 + 6x) - ( 3x^3 + 11x^2 - 8x)

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
(5x⁴ - 3x³ + 6x) - (3x³ + 11x² - 8x)<span>

</span>Expand the second bracket by multiplying throughout by -1
5x⁴ - 3x³ + 6x - <span>3x³ - 11x² + 8x
</span>
Group like terms and simplify 
5x⁴ - 3x³ - 3x³ - 11x² + 6x <span>+ 8x

</span>5x⁴ <span>- 6x</span>³ - <span>11x² + 14x</span>

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
(01.01) Kisha and Rae are asked to solve −5x − 14 = 2x + 7. Identify where one of them made an error.
lora16 [44]
It's A. 
Rae made the error when she added 7. 
the equation should be:
<span>-14 - 7 = 7x + 7 - 7 </span>
3 0
3 years ago
Read 2 more answers
What's 5 + 5 × 10 - 88 + 200 - 1​
Mars2501 [29]

Answer:

=50x+116

Step-by-step explanation:

5+5x(10)−88+200−1

=5+50x+−88+200+−1

Combine Like Terms:

=5+50x+−88+200+−1

=(50x)+(5+−88+200+−1)

=50x+116

8 0
3 years ago
Read 2 more answers
How do you figure out this equation?
maw [93]
Equation of a circle is (x-x1)+(y-y1)=r²
when x1 and y1 are the coordinates of the centre

So you can substitute the centre in to get (x-5)²+(y+9)²=r²

When you draw a diagram it's obvious the radius is 9

9²=81

Therefore equation is (x-5)²+(y+9)²=81

Any questions, just ask :)

6 0
3 years ago
21x <br> 3<br> +28x <br> 2<br> −49x−12x <br> 2<br> −16x+28
Serhud [2]

Answer:

2

1

3

+

2

8

2

−

4

9

−

1

2

2

−

1

6

+

2

8

Step-by-step explanation:

8 0
3 years ago
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