To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:

Answers

Answer 1

Answer: [tex](0.1481323,\ 0.2018677)[/tex]

Step-by-step explanation:

The confidence interval for population proportion :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical  z-value.

Let p = population proportion of successes.

Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]

Critical z value for 95% confidence = 1.96

The 95% confidence interval for a population proportion is:

[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]

Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]


Related Questions

pls help me with long division

Answers

86÷3 =

*The divisor is 3 and the dividend is 86

First step: How many 3's can fit into 8? (8÷3)

8÷3 = 2 r 2

Second step: add a 2 above the eight in the tens place of the answer.

86÷3 = 2_

Third step: multiply 3 x 2; 3 x 2 = 6;

In this step, we put a 6 underneath the 8.

Fourth step: Subtract.

In this step, we subtract 8-6 (=2)

Fifth step: bring down the next number. In this case, it is 6.

In this step, we now have the number 26.

Sixth step: How many 3's can fit into 26? (26÷3)

26÷3 = 8 r 2

Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.

I hope this was easy for you to understand!

Answer:

Step-by-step explanation:

  2  8 R2

3[tex]\sqrt{86[/tex]

-  6  

-------------

    26

-    24

-----------

     0  2

Apples cost $1.89 per pound. What equation shows the relationship between total cost (t), price (p), and pounds purchased (n)?

1.89 = nt

n⁄t = 1.89

1.89t = n

t = 1.89n

Answers

Answer:

[tex]t(n) = 1.89n[/tex]

Step-by-step explanation:

From the given information

'p' denotes 'price per pound'

i.e. p = 1.89

'n' denotes the 'number of pounds purchased' 't' denotes the 'total cost '

Therefore, the equation becomes

[tex]t(n) = pn[/tex]

as

[tex]p=1.89[/tex]

so

[tex]t(n) = 1.89n[/tex]

Verification:

If you want to purchase 1 pound apple

i.e.

[tex]n=1[/tex]

Total cost would be:

[tex]t(1) = 1.89 (1)[/tex]

t = $1.89 per pound

Rewrite 38/7 as a mixed number.

I need this ASAP

Answers

Answer:

5 3/7

Step-by-step explanation:

Answer:

[tex]5\frac{3}{7}[/tex]

Step-by-step explanation:

Seven goes into 38 five times. Giving you 5 from 5×7=35.

I hope this explantion was helpful.

Calculate the volume

Please show the steps....

Answers

Answer:

4,800

Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D

Answer:

probably

Step-by-step explanation:

v = [20.(8+6)/2].5

v = 20.7.5

v = 700cm³ (that's a 3 btw)

im having a mental breakdown HELPPPP!​

Answers

LN is congruent to NQ so because of that you set both equal to each other

7x=5x+20

Subtract 5x on both sides

7x-5x=20

2x=20

x=10

Hope this helps!! Mark for brainliest

A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?

Answers

Answer:

Animalia


Explanation:

From the kingdom Animalia, we can know many characteristics of Anamalia. Kingdom Animalia is made of all animals. The animal kingdom is the largest kingdom among the five kingdoms. Some of their features are:
They are multicellular eukaryotes.
They don’t have a cell wall or chlorophyll like plants.
They have a heterotrophic mode of nutrition.
They can move from one place to another place.
They can catch their food.
They depend on other animals for their food purpose.
For collecting food, they can change their place by moving.
From these characteristics, we can say that the Animalia kingdom would be the best option when classifying this organism.

Classify the sentences based on whether they describe an investing mistake or a good investment decision.

Answers

Answer:

What sentences?

Step-by-step explanation:

Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????

Answer:

Investing mistake :

Silvia successfully avoids investing

in unfamiliar foreign companies.

Ryan invests only in the stock of

companies he has complete faith in.

Martha decides to hold her

investments despite their poor

market performance over

three years.

Good investment decision:

Sanjay invests in companies in

a variety of industries.

Ricardo starts investing in index

funds with the aim of building

his wealth steadily over time.

Sabina invests small amounts in

stocks, bonds, and real estate.

Step-by-step explanation:

Got it right in edmuntum :)

Which of these figures shows perpendicular lines?

Answers

Answer: I think a and b

Step-by-step explanation:

Linear or nonlinear

Answers

Answer:

I think its linear so I dont know 100% but I think it's a sorry if I'm wrong

Answer:

linear

Step-by-step explanation:

it is in y=mx+b form. also it forms a straght line

What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?

Answers

Y= mx+c
So m= the gradient (slope)
And c=the y intercept (x,y= -3,4)
So it should be
Y=1/3x+4

4 divided by 9.48 hii

Answers

0.4219 Approximately .

Also HIIII

Answer:

4 divided by 9.48= 0.42( or 0.421940928.....)

Step-by-step explanation:

..

What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?

Answers

Answer:

0.5

Step-by-step explanation:

(08.01)Two lines, A and B, are represented by the following equations:

Line A: 2x + 2y = 8
Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.

Answers

Answer:

It is D, ( the numbers to the right of the equals sign are different.)

Step-by-step explanation:

Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL

Answers

Answer:

0.98778

Step-by-step explanation:

When we are given a random number rod samples, we solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 102.1 mL

μ is the population mean = 101.5 milliliters (mL)

σ is the population standard deviation = 1.6.

n = 36

z = 102.1 - 101.5/1.6/√36

z = 2.25

Probability value from Z-Table:

P(x<102.1) = 0.98778

Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778

Answer this question and I will give you brainliest and help on anything

Answers

Answer:

The answer is 27

Step-by-step explanation:

You count how many lines it takes up and add them together

ME NEEDS SOME HELP WITH MATH PLS

Answers

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[tex]The \: \: correct \: \: answer \: \: is \: \: (( C )) . \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

C. |-3| < |9| and -3 < 9

In a population that is normally distributed that has a mean of 45 with a standard
deviation of 5, what is the probability that a randomly selected object is over 52?
0.0001
0.0808
0.0501
0.9542

Answers

I think I would be 5

Solve 8,961 ÷ 29 Using standard algorithm.

(Giving brainliest and extra points)

Answers

Answer:its 309

Step-by-step explanation:

How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?

Answers

Answer:

D. [tex] 4\frac{2}{5} [/tex]

Step-by-step explanation:

Area of fabrics = 2¾ square yards

Width of fabrics = ⅝ yard

Length of fabrics = x

Area = length * width

Therefore:

2¾ = ⅝*x

Change the mixed fraction to improper fraction

[tex] \frac{11}{4} = \frac{5x}{8} [/tex]

Cross multiply

[tex] 4*5x = 11*8 [/tex]

[tex] 20x = 88 [/tex]

Divide both sides by 20

[tex] \frac{20x}{20} = \frac{88}{20} [/tex]

[tex] x = \frac{22}{5} [/tex]

[tex] x = 4\frac{2}{5} [/tex]

[tex] length = 4\frac{2}{5} [/tex]

Triangle ABC IS an isosceles triangle AB=BC m

Answers

Answer:

The measure of angle A is 73°

Step-by-step explanation:

Isosceles Triangles

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

[tex]2*m\angle A=180^\circ - 34^\circ =146^\circ[/tex]

Thus:

[tex]m\angle A=146^\circ /2=73^\circ[/tex]

The measure of angle A is 73°

Can anyone help with this?

Answers

Answer:

The answer is B and D.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias

Answers

Answer:

las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.

Step-by-step explanation:

Sea x un numero, entonces

1)2x

2)5x

3)x-1 (aqui x es un numero entero)

4)[tex]\frac{x}{2}[/tex]

5)[tex]\frac{x}{10}[/tex]

6)x+1 (aqui x es un numero entero

7) x(x+1) (aqui x es un numero entero

8) x(x+1)(x+2) (aqui x es un numero entero

When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?

Answers

Answer:

3.3912cm³/min

Step-by-step explanation:

Area of the circular plate = πr² where r is the radius of the plate.

dA/dt is the rate at which the plate is increasing

since dA/dr = 2πr and dr/dt = 0.01cm/min

dA/dt = dA/dr * dr/dt

dA/dt = 2πr dr/dt

dA/dt = 2π(54)(0.01)

dA/dt = 2π(0.54)

dA/dt = 3.3912cm³/min

Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min

Is it a nonlinear or a linear

Answers

Answer: linear



Step-by-step explanation:

-Hope this helps :D

Brian has 17 fewer marbles
than Kyle. Brian has
21 marbles. How many
marbles does Kyle have?

Answers

Answer:

the answer to your question is 38.

There are 38 marbles does Kyle have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Brian has 17 fewer marbles than Kyle.

And,  Brian has 21 marbles.

Now,

Let number of marbles Kyle have = x

Then, Number of marbles Brian have = x - 17

But, Brian has 21 marbles.

So, We get;

x - 17 = 21

x = 21 + 17

x = 38

Thus, There are 38 marbles does Kyle have.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?​

Answers

Answer:

15:40

Hope it helps!

Luke measured caterpillars for a science project. He believes that caterpillar A is longer than caterpillar B because it has more digits after the decimal point. Do you agree or disagree Luke's thinking. Explain your reasoning.

Caterpillar A=4.125 cm
Caterpillar B=4.03
Caterpillar C=4.23

Answers

Answer: disagree

Step-by-step explanation:

Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.

Answer:

Disagreed

Step-by-step explanation:

In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...

[tex]CA=4.125[/tex]

[tex]CB=4.03[/tex]

[tex]CC = 4.23[/tex]

Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0

Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.

[tex]4.125 > 4.03[/tex]

[tex]4.125 < 4.23[/tex]

Hope this helps.

PLEASE HELP Find the x-component of this
vector and the y-component

Answers

Answer:

x ≈ 11.5, y ≈ 3.4

Step-by-step explanation:

Th rectangular components of the vector are

x = r cosθ

y = r sinθ

where r is the magnitude and θ is the angle between x- axis and vector

Here r = 12 and θ = 90° - 73.3° = 16.7° , then

x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )

y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )

6

A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there

are 21 coins in all? *

(4 Points)

n + 9 = 21 and .05n + .25q = 2.85

n = 12,9 = 9

n = 5,9 = 26

n = 31, 9 = 22

n = 5,9 = 7

Answers

Answer:

n = 12, q = 9

Step-by-step explanation:

The simultaneous equation that represents the expression is;

n + q = 21 .......... 1

0.05n + 0.25q = 2.85 ........ 2

Multiply equation 2 by 100 to have;

5n + 25q = 285

n + 5q = 57

____________________________________

n + 5q = 57

n + q = 21

Substract the resulting equations

5q-q = 57-21

4q = 36

q = 36/4

q = 9

Substitute q = 9 into eqn 1;

From 1; n+q = 21

n = 21-q

n = 21-9

n = 12

Hence she has 12 nickels and 9 quarters

-9 is an example of what​

Answers

Answer:

A negative number, a negative integer, a negative multiple of 3, etc.

Step-by-step explanation:

Answer:

integer

???????

Step-by-step explanation:

I'm not sure

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