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Debora [2.8K]
3 years ago
14

What is the solution to the system of equations? {y=−x−4 {y=x

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:y=x8

Step-by-step explanation:

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construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0
3 years ago
Simplify - tanx-(sec^2 / tanx)
Mashcka [7]

Answer:

-cot(x)

Step-by-step explanation:

tanx-(sec^2x  / tanx)

Lets get a common denominator of tan

tan x * tan x/ tan  -sec ^2 x/ tan x

tan ^2 x - sec ^2 x

---------------------------

tan x

We know than sec^2 - tan^2 =1  (trig identity)  so factor out -1

-1(-tan ^2 x + sec ^2 x)

---------------------------

tan x

-1(1)

---------------------------

tan x

-1

----------

tan (x)

We know  1/ tan x = cot (x)

- cot(x)

7 0
3 years ago
Maths<br> Oder of rotations symmetry and number of lines of symmetry
drek231 [11]

Answer:

i) a) 4 lines

b) 1 line

c) 3 line

d) 2 line

ii) don't know

7 0
3 years ago
3a-13=47 a= pls help ive been stuck on this for an hower
patriot [66]

Hey there!

Explanation:

First, you had to do is add by 13 from both sides of an equation.

3a-13+13=47+13

Then, simplify or add by the numbers.

47+13=60

3a=60

Next, you can also divide by 3 from both sides of an equation.

\frac{3a}{3}=\frac{60}{3}

And finally, simplify and divide by the numbers,

60/3=20

*The answer must have a positive sign.*

\boxed{a=20}

Hope this helps!

6 0
3 years ago
Read 2 more answers
2 3/5 convert to decinal
Leokris [45]

So we know that 1/5=0.2

Then we take 5/5=1.0

Then we solve 2*1.0=2.0

Now we solve 1/5+1/5+1/5 or 1/5*3=0.6

So then the correct answer is 2.6

Hope this helps!!!

=

7 0
3 years ago
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