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Ierofanga [76]
3 years ago
13

Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Mathematics
1 answer:
choli [55]3 years ago
6 0
Sin3x-2
sin3x=2
sinx=2/3
x= 0.52
x=-0.43
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31.Lefties Find the sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of e
babunello [35]

Answer:

a. 1844

b. 664

Step-by-step explanation:

a. No estimate of proportion is given so we will assume:  

{p} = {q} = 0.5

For 99% confidence, z = 2.576

E = 0.03  

Hence, Required sample size  n = (0.5)*(0.5)*(2.576/0.03)^2  = 1844

b. {p} = 0.10

{q} = 1 - {p}

{q} = 1 - 0.10

{q} = 0.90  

For 99% confidence, z = 2.576

E = 0.03

Hence,  Required sample size  n = (0.1)*(0.9)*(2.576/0.03)^2  = 664

c. There would have been no effect on parts a and b if entire US has been chosen because minimum sample size required is not dependent on population size.

7 0
3 years ago
3m - 6 = 3 (m - 2)<br> m = 1<br> infinite solutions<br> no solutions
Pavlova-9 [17]

Answer:

infinite solutions

Step-by-step explanation:

m=1 answer is -3

m=2 answer is 0

4 0
4 years ago
S. The area of a stage for a concert is 216 square feet. The length is 6 times the width. Find the dimensions of
Travka [436]

Answer:

Width=6 Length=36

Step-by-step explanation:

The stage is rectangular since the length is not equal to width.

We use the formula (Width × Length) to obtain the area of any rectangle.

But the Length is 6 times the Width, therefore we equate the formula for the area of stage as

Width × 6Width = 216

we get Width as 6 and 6width which is the length as 36

4 0
3 years ago
Which pattern is graph ​
satela [25.4K]
You didn’t give enough info is there a picture of some sort?
3 0
3 years ago
The marked price of a mobile set is Rs 9,600 and 40% discount is allowed to make 20% profit. By what percent is the discount to
Tanya [424]

Answer:

5%

Step-by-step explanation:

<u>price after discount :</u>

9 600 - 9 600×40%

= 5760

<u>Original price (price without profit) :</u>

let x be the original price of the device.

x + x × 20% = 5760

Then

x = (5 760×100)÷120

  = 4 800

<u>Original price increased by 30% :</u>

4 800 + 4 800×30%

= 6 240

<u>the discount needed to increase the profit by 10% :</u>

[(9 600-6 240)÷9 600]×100

= 35%

Then

to increase the profit by 10% ,we have to reduce

the percent of discount to :

40% - 35%

= 5%

7 0
2 years ago
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