HELP PLEASE:
I am not understanding on how to solve this problem, and a step by step explanation would help a lot.
A random sample of 120 is taken from a population of 10000. From a previous survey, it is believed that 62% of the population has an Instagram account. Find the mean and standard deviation of the sample proportion. Give the standard deviation to two nonzero decimals (such as .012 and not .01).
(mean subscript p-hat) μˆp =

(standard deviation subscript p-hat) σˆp=


Answers

Answer 1

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.


Related Questions

IM SO DUMB I NEED HELP

Answers

Answer:

[tex]76.0m^2[/tex] (you have to have the .0 since it says to round to the nearest tenth)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl+hl+hw)[/tex]

So just plug in the values.

Height= 4

Width=2

Length=5

[tex]A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2[/tex]

Which expression is equivalent to 6 Superscript 4 times 6 cubed?

A. (6 times 6 times 6 times 6) + (6 times 6 times 6)
B. (6 + 6 + 6 + 6) times (6 + 6 + 6)
C. (6 times 6 times 6 times 6) times (6 times 6 times 6)
D. (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6)

I know the answer, I just didn't find it anywhere, so I'm putting it here
(I did find one, but the answers for it weren't right and no comments were right)

The answer is C. (6*6*6*6)*(6*6*6)

Answers

Answer would be c to this question

Answer:

The answer is C.

(6 times 6 times 6 times 6 times) times (6 times 6 times 6)

(6 * 6 * 6 * 6) * (6 * 6 * 6)

(6 × 6 × 6 × 6) × (6 × 6 ×6)

(6^4) × (6^3)

please help! i dont get this

Answers

ANSWER: D.180

EXPLANATION:  A straight angle is 180 degrees

A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.

Please help!!! A plane takes off from the airport and climbs at a steady rate. If the plane travelled
5.4km after take-off and gained 1120m of elevation (vertical gain), what angle did the plane take off at?

Answers

Answer:

[tex] 12.0^\circ [/tex]

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down  vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin A = \dfrac{1.12~km}{5.4~km} [/tex]

[tex] \sin A = 0.2074 [/tex]

[tex] A = \sin^{-1} 0.2074 [/tex]

[tex] A = 12.0^\circ [/tex]

Answer: 12.0 degrees

What is the area of the triangle below?

Answers

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.

Answers

Answer:

1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = [tex]\frac{x}{0.85}[/tex]

y = 220 - [tex]\frac{x}{0.85}[/tex]

Now convert this equation into a function.

[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.

Answers

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{20}{29} 29 20 ​ start fraction, 20, divided by, 29, end fraction (Choice B) B \dfrac{20}{21} 21 20 ​ start fraction, 20, divided by, 21, end fraction (Choice C) C \dfrac{21}{29} 29 21 ​ start fraction, 21, divided by, 29, end fraction (Choice D) D \dfrac{21}{20} 20 21 ​

Answers

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

Which of the following statements is true, given

Answers

Answer:

ALL of them

Step-by-step explanation:

Hope this helps!

The correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Statement 1: If two numbers are co-primes, at least one of them must be prime.

This statement is true. Two numbers are considered co-prime if their greatest common divisor (GCD) is 1. If both numbers are not prime, it means they have factors other than 1 and themselves. In that case, their GCD would be greater than 1, contradicting the definition of co-prime numbers. Therefore, at least one of the two co-prime numbers must be prime.

Statement 2: If a number exactly divides two numbers, then it must also divide their sum.

This statement is false. Just because a  number divides two other numbers, it does not necessarily mean that it will divide their sum. For example, consider the numbers 6, 8, and 14. 6 and 8 are both divisible by 2, but their sum, 14, is not divisible by 2.

Based on the analysis above, exactly one of these statements is false.

Therefore, the correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

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10x + 4 = 2(5x + 8) – 12 how many solutions and solve for x

Answers

Answer:

hope this help

Step-by-step explanation:

10x + 4 = 10x + 16 -12 = 10x + 4

infinite solution of x ( for x is real number)

The given system of eqqations models the coins in a jar containing n nickels, d dimes, and a quarters. Which statement is
modeled by one of the equations in the system?
q- dun
0 250+ 0 100+ 0.05n-6.05
+0+-36
The number of nickels is equal to the total number of dimes and quarters
The total value of the coins in the jar is $36
There is a total of 36 coins in the jar
There is an equal number of nickels, dimes, and quarters

Answers

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth. inches

Answers

Answer:

21.24

Step-by-step explanation:

Edge 2020

The required arc length of the circle is 9.42 inches

What is an arc?

The arc is a portion of the circumference of a circle.

What is the Area of a Sector?

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

To calculate the length of the arc, we use the formula:

S = 2πr (θ/360°)

where,

S = arc length

r = radius of the circle

θ = central angle

As per the given question, we have

r =  9 inches, and θ = 60°

Substitute the values in the above equation, we get:

S = 2π(9) (60°/360°)

S = 2π(9)/60°

S ≈9.42

Hence, the arc length of the circle is 9.42 inches.

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The question seems to be incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle of 60°. Estimate the length of arc 'S' to the nearest hundredth.

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

Imagine there are 5 cards. They are colored red, yellow, green, white, and black. You mix up the cards and select one of them without looking. Then, without putting that card back, you mix up the remaining cards and select another one.

How many possible outcomes there are?

Answers

Answer:

There would be a 25% percent chance for each card.

Step-by-step explanation:

5 cards.

You pick 1 and didn't put it back in the deck and mix the cards again

There would be 4 cards left and 100 ÷ 4 would be 25.

There are 4 possible outcomes.

What are possible outcomes?

Possible outcomes are the possible results of an experiment. For example, when you flip a coin, the coin could land on heads or the coin could land on tails.

Given that, there are 5 cards they are colored red, yellow, green, white, and black. you mix up the cards and select one of them without looking. then, without putting that card back, you mix up the remaining cards and select another one.

We need to find the possible outcomes,

The initial cards = 5

One is being picked and removed,

5-1 = 4

Hence, there are 4 possible outcomes.

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Here are two steps from the derivation of the quadratic formula (picture included)

what took place between the first step and the second step?

A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides


Answers

The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.

What is a quadratic equation?

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

The derivation of quadratic formula.

Mathematically, the quadratic formula can be derived as follows:

x² + b/ax +c/a = 0

x² + b/ax  = -c/a

x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]

(x + b/2a)² = b²/4a² - c/a

x + b/2a = √(b²/4a² - c/a)

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.

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Answer:   THE CORRECT ANSWER IS    Factoring a perfect square trinomial

Step-by-step explanation:

Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink. To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?

Answers

Answer: 13% :D

Step-by-step explanation: Hope it helps

Answer:

13%

Step-by-step explanation:

:D

Jamal decides he wants to shop around for the best price for purchasing an advertisement space in a newspaper. One of the companies he contacts charges $2.00 for each line in the advertisement and an initial fee. For the 3 lines he needs, the company will charge $14.00. Which equation best represents this scenario if y is the cost for an ad with x lines?

Answers

Answer:

Y = $2x + 8

Step-by-step explanation:

Variable cost per line = $2.00

For 3 lines, the Variable cost = $2 x 3 = $6

Total cost for 3 lines = $14.00

Fixed Charges = $14 - $6 = $8

Using the formula, total cost, Y = $2x + $8 = $14

Where x = number of lines needed.

Therefore, total cost, Y = ($2 x 3) + $8 = $14

Would a piece of wood with a mass of 48 grams and a volume of 47.4 cm^3 float in water?

Answers

The piece of wood would sink.

Given that water has a density of 1 g/cm^3 the piece of wood would have to be lower than such density. A bigger density would then mean said object would sink.

To find the density of the piece of wood you need to know the density formula which is d= m/v, m being mass and v being volume. With the givens of mass and volume you just need to plug your values in to get 48/47.4=d. Dividing would then equate to about 1.02, which exceeds the density of water, therefore sinking.

An easy way to find the answer to this is if you see that the volume is greater than the mass then it will float, if less then it will sink. If they are the same number then you can suggest that it depends on the water’s buoyancy.

The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

What is density?

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

We have:

Mass of the piece of wood = 48 grams

The volume of the piece of wood = 47.4 cubic cm

As we know, from the definition of density, density is the mass-to-volume ratio.

d = mass/volume

d = 48/47.4

d = 1.01 g/cm³ ≈ 1 g/cm³

As we know,

It will float if the volume is larger than the mass and sink if the reverse is true.

Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

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2) Which of the following is the quadratic
equation in standard form?
-b+ Vb2 - 4ac
A) X=
B) y=alr - h)? +k
2a
C) y=ax+bx+c D) y = ax + bx+c

Answers

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

easy geometric shapes question #6 help please!

Answers

Answer:

it will gemetry and get 15

What is the volume of this rectangular prism?

Answers

Answer:

[tex] \frac{1}{2} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

1/2cm to the third power

A circle has a sector with area (3/2) pi and central angle of 60°.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].

Step-by-step explanation:

Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:

[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].

In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:

[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].

In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.

The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=20°, and XV = 58 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

169.6

Step-by-step explanation:

We can use trig to find the missing side (sin specifically).  sin(x)=opposite/hypotenuse.  where x is the angle.  VWX is 20 degrees.  The side opposite to that angle is VX or 58.  We dont know the hypotenuse.  If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse.  sin(20) in the calculator is 0.342020143...  so we can rewrite the equation as 0.342020143=58/hypotenuse.  Lets call the hypotenuse h.  If we multiply h on both sides, we can try to find what h is equal to.  0.342020143h=58.  Now we can divide 0.342020143 on both sides to isolate h.  h=169.58... or if we round it, we get 169.6

I really need help with this :((

Answers

Answer:

Step-by-step explanation

The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.

20 is what percent of 60

Answers

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

Which of the following statements is true for the logistic differential equation?
The graph has a horizontal asymptote at y = 18.
y is growing the fastest when y = 9.
The limiting value for y is 18.
All of the above.

Answers

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.


A) y equals 1 divided by 24 x squared

B) y2 = 6x

C) y2 = 24x

D) y equals 1 divided by 6 x squared

Answers

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

If you spun the spinner 1 time, what is the probability it would land on a white piece?

Answers

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Como se haya la media de esta distribución normal? "Se estima que la cantidad de dinero que gastan en gasolina los clientes de una estación de servicio sigue una distribución normal con desviación estándar de quince mil pesos. También se ha encontrado que el 4% de los clientes gasta más de 70.000 pesos."

Answers

Answer:

43750 pesos

Step-by-step explanation:

The first thing is to establish the formula in this case as it is a normal distribution is as follows:

z = x - m / sd

where x is the point value, m the mean, sd the standard deviation and z is the z score, we can calculate the z score by means of this 4% and it is found in the normal distribution table.

for 4%. z = 1.75

replacing:

1.75 = (70000 - m) / 15000

m = -1.75 * 15000 + 70000

m = -26250 + 70000

m = 43750

therefore we have that the average is 43750 pesos

7532 Question 1 of 7 The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?

Answers

Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

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