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Answer:

A sample of 595 should be obtained.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Estimate of 0.55

This means that [tex]\pi = 0.55[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?

This is n for which M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]

[tex]n = 594.2[/tex]

Rounding up,

A sample of 595 should be obtained.

Answer:

4,080.00

Step-by-step explanation:

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.

9514 1404 393

Answer:

  B.  P = 70 in; A = 300 in²

Step-by-step explanation:

The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...

  P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)

  P = 70 in.

Only answer choice B has the correct value. (Its area figure is also correct.)

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: [tex]\pi[/tex]r^2

r = 4, [tex]\pi[/tex] = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

Answer:

Step-by-step explanation:

3.14*4^2

3.14*16= 50.24

Answer:

b.5²+12²=13² is your answer

Answer:

175..................................

Answer:32 30 28 16

Step-by-step explanation:

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

According to the task content;

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

https://brainly.com/question/2292715

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Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]A=8700,r=24,t=3[/tex], we get

[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]

[tex]8700=P\left(1+0.24\right)^{3}[/tex]

[tex]8700=P\left(1.24\right)^{3}[/tex]

[tex]8700=1.906624P[/tex]

Divide both sides by 1.906624.

[tex]\dfrac{8700}{1.906624}=P[/tex]

[tex]4563.0391729=P[/tex]

[tex]P\approx 4563.04[/tex]

Therefore, the principal value is about 4563.04.

Answer:

$240

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

Answer:

y=17

Please mark me as brainliest.

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

Answer:

D. Maximum when it leaves the ground

Answer:

1. D

2. D

Step-by-step explanation:

First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x

So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.

2. In the equation, she did “1 - 17/ 1 - 20”

This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be

1 - 17/ 20 - 1

Answer:

perimeter = 2 * pie * r

r = 17 foot = 17/3 yards

3ft = 1 yard

perimeter = 2 * 3.14 * 17/3

= 2 * 22/7 * 17/3

= 44 * 17 / 21

= 35.605 yards

YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!

Step-by-step explanation:

So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.

STREAM LGO AND DYNAMITE

WE ARE ABOUT TO REACH 1B

HOPE I HELPED U KPOP BESTIE!

BYEEE

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Step-by-step explanation:

Answer:

Step-by-step explanation:

An axis of symmetry is a line that cuts your graph into two equal parts.  In other words, the graph is symmetric about the line.

The value on the interval [0, 2π) where f(θ) = g(θ) is 3π/2.

To find the value(s) on the interval [0, 2π) where f(θ) = g(θ), we need to set the two functions equal to each other and solve for θ.

Setting f(θ) = g(θ), we have:

4sin(θ) + 3 = cos(2θ)

Now, we can solve this equation. Let's break it down step by step:

Rewrite cos(2θ) using the double-angle identity: cos(2θ) = 1 - 2sin^2(θ)

The equation becomes: 4sin(θ) + 3 = 1 - 2sin^2(θ)

Rearrange the equation:

2sin^2(θ) + 4sin(θ) + 2 = 0

Divide the entire equation by 2:

sin^2(θ) + 2sin(θ) + 1 = 0

Factorize the equation:

(sin(θ) + 1)^2 = 0

Solve for sin(θ):

sin(θ) = -1

The value of sin(θ) is -1 at θ = 3π/2.

As a result, 3π/2 is the value on the interval [0, 2π) where f(θ) = g(θ).

for such more question on interval

https://brainly.com/question/23558817

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Answer:

A) 1 Yellow, 2 Blue

B) 2 Yellow, 1 Blue

Square and Rectangle

I hope this helps you

Answer:

Step-by-step explanation:

Past: The birds flew away quickly

Present: The geese honk at the passerby

Future: The ducklings will hatch soon

Answer:

[Past] The birds flew away quickly.

[Present] The geese honk at passersby.

[Future] The ducklings will hatch soon.

_______________________________

I can't see the options on the second image.

Similar means angles are the same  

Congruent means angles and sides are the same.

Sail 1 and sail 2 have the same angles but the sides are not the same.

So sail 1 and sail 2 are similar.

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

Answer:

108 degrees

Step-by-step explanation:

you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108

Answer:

400.2

Step-by-step explanation:

A = π r l + π r²

l = √r² + h²

Solving for A

A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)

Answer:

True

Step-by-step explanation:

Just write down the answer.