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NNADVOKAT [17]
2 years ago
8

Hi, I don’t understand this question

Mathematics
1 answer:
meriva2 years ago
4 0

Given that

z₁ = 15 (cos(90°) + i sin(90°))

z₂ = 3 (cos(10°) + i sin(80°))

we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:

z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))

z₁/z₂ = 5 (cos(80°) + i sin(80°))

so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.

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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

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

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
2 years ago
G(x) = -3х (х^2– 36) (х – 6)<br> Find all real zeros of the function
Daniel [21]
Aren’t there only 2? Because of the squared exponent? I’m not fully sure
6 0
3 years ago
2ab( 4a2 + 3ab - 7b2)​
Kisachek [45]

Answer:

6ab + -3a2

Step-by-step explanation:

2ab(4a2 + 3ab - 7b2)     original problem

2ab(3ab + 4a2 - 7b2)     commutative property

2ab(3ab + -3a2)     subtract

4 - 7 = -3

6ab + - 3a2              mulitiply

2ab x 3ab = 6ab

and that is you final expression, you can't add the last 2 numbers cause they are not like terms.

5 0
2 years ago
Read 2 more answers
HERE a question........
Pani-rosa [81]

Answer:

6

Step-by-step explanation:

Split the shape into two shapes, one square and one triangle.

Find the area of the square and area of triangle.

area of square = 2 × 2 = 4

The height of the triangle is 4 - 2 = 2 units.

area of triangle = 2 × 2 × 1/2 = 2

Add the areas.

4 + 2 = 6

The area is 6 units².

4 0
3 years ago
Read 2 more answers
How can u show one and four thousandths
ss7ja [257]
How you can show this is 1.004
5 0
3 years ago
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