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alexandr402 [8]
3 years ago
11

Three solutions of the equation Ax + By = Cz - 14 are

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0
C ccccccccc
for extra space
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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
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
LekaFEV [45]
For f(x) to be g(x), the equation f(x) would shift left one
5 0
3 years ago
Read 2 more answers
What us problems 6 and 7?<br>​
Sunny_sXe [5.5K]

Answer:

y=(x+7)2(2x+1)(x−4)

y=2x4+21x3−4x2−399x−196

Step-by-step explanation:

8 0
3 years ago
Evaluate: 3-mn if m=-4 and n=-8
alexira [117]

Answer:

The answer is -29

Step-by-step explanation:

All you have to do is plug -4 where m is and -8 where n is. Your equation would look like this... 3-(-4)(-8). Then all you have to do is plug it into your calculator and you will get -29.

4 0
3 years ago
A pack of 9 toilet rolls costs £4.23
OleMash [197]
 a)  9 toilet rolls cost $ 4.23
       1 toilet roll costs  $ x

          9x = 4.23 * 1
           x= 4.23 / 9
            x = 0.47
So in first case one toilet roll costs $ 0.47.

b) 4 toilet rolls cost $1.96
    1 toilet roll costs  $ x
     
    4x = 1.96 * 1
     x = 1.96 / 4
     x = 0.49
So in second case one toilet roll costs $ 0.49.

0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.

Hope this heps!


8 0
3 years ago
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