Does anybody know the answer to this will recieve ten points and liest please

A study done by researchers at a university concluded that % of all student athletes in this country have been subjected to som

Nostrana [21]

The missing digits is highlighted in bold form

A study done by researchers at a university concluded that 70% of all student-athletes in this country have been subjected to some form of hazing. The study is based on responses from 1800 athletes. What are the margin of error and 95% confidence interval for the study?

Answer:

Step-by-step explanation:

Given that:

The sample proportion $\hat p = 0.70$

The sample size n = 1800

At 95% confidence interval level:

The level of significance = 1 - 0.95 = 0.05

Critical value: $Z_{0.05/2} = Z_{0.025} = 1.96$

Thus, the Margin of Error E = $Z_{\alpha/2} \times \sqrt{\dfrac{\hat p ( 1- \hat p)}{n}}$

$= 1.96 \times \sqrt{\dfrac{ 0.70 ( 1-0.70)}{1800}}$

$= 1.96 \times \sqrt{\dfrac{ 0.70 ( 0.30)}{1800}}$

$= 1.96 \times \sqrt{\dfrac{0.21}{1800}}$

$= 1.96 \times \sqrt{1.16666667\times 10^{-4}}$

the Margin of Error E = 0.021

At 95% C.I for the population proportion will be:

$= \hat p \pm Z_{\alpha/2} \sqrt{\dfrac{\hat p(1- \hat p)}{n}}$

= 0.70 ± 0.021

= (0.70 - 0.021, 0.70 + 0.021)

= 0.679, 0.721)

6 0

3 years ago

Convert (4,000°) to rectangular form.

Dafna1 [17]

Answer:

x=4, y =0

Step-by-step explanation:

To convert to rectangular from, we use the formulas

x= rcos theta

y = rsin theta

Substitute r=4 and theta =0

x = 4 cos (0) = 4 (1) = 4

y = 4 sin (0) = 4(0) = 0

In rectangular form (4,000°) equals ( 4, 0)

5 0

4 years ago

A wealthy entrepreneur has a fortune worth £2 500 000 000. What power of 10 should this number be to when written in scientific

Lubov Fominskaja [6]

Answer:

9.

Step-by-step explanation:

Count the number of digits after the first digit,

This is 9.

4 0

3 years ago

A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side

mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

$x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87$

3 0

3 years ago

Use green's theorem to find integral subscript c left parenthesis y space plus space e to the power of square root of x end expo

Flauer [41]

My best interpretation of the math here is that you're talking about the line integral,

$\displaystyle \int_C \left(y+e^{\sqrt x}\right) \, dx + \left(2x + \cos\left(y^2\right)\right) \, dy$

I won't bother trying to decipher what look like multiple choice solutions.

By Green's theorem, the line integral above is equivalent to

$\displaystyle \iint_D \frac{\partial\left(2x+\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(y+e^{\sqrt x}\right)}{\partial y} \, dx \, dy$

where D is the set

$D = \left\{ (x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le x^2 \right\}$

Compute the double integral:

$\displaystyle \int_0^1 \int_0^{x^2} \left(2 - 1\right) \, dy \, dx = \int_0^1 \int_0^{x^2} dy \, dx = \int_0^1 x^2 \, dx = \boxed{\frac13}$

7 0

3 years ago