Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library card. In another, 51% of people have a library card. In the third, 43% have a library card. Based on the three samples, how many people with a library card should he expect are in the population?

a.301
b.357
c343
d.371
pls answer quick

Answers

Answer 1

Answer:

343

Step-by-step explanation:

Finding? How many people with a library card should he expect in the population?

Important? Population = 700. Sample 1= 53%. Sample 2 = 51%. Sample 3 = 43%.

How? Average the 3 samples percentages together. The percent sign tells us what the sample size is (% = out of 100). Set up the proportions for library card to sample size and then library card to population. Cross multiply.


Related Questions

EASY, PLEASE HELP, ASAP

Answers

Answer:

B. 50 feet

Step-by-step explanation:

6 times 2.5 is 15

so that means 20 also has to be multiplied by 2.5

which becomes 50

Answer: B. 50 feet

Step-by-step explanation:

      We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:

             [tex]\frac{20}{6} =\frac{x}{15}[/tex]

      Now we will cross multiply and solve for x:

             300 = 6x

             50 = x

             x = 50

             The length of the second triangle is B. 50 feet

Please help I will give
BRAINLY
5 STARS
and a THANKS

Answers

Answer:

1, 3, 5, 7

Step-by-step explanation:

the c stands for columns.

when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.

Answer:Day 26

Step-by-step explanation : just multiply the numbers

Will mark brainlyest! Please help.

Answers

90° around the origin

hope it helps...!!!

Solve this quadratic equation using the quadratic formula.

2x 2 - 2x = 1

Answers

[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]

d=22in cuál es la circunferencia

Answers

Answer:

If the diameter is 22 and the radius would be half of 22 so it would be 11

How do you move a variable from one side of the equal sign to the other??​

Answers

Do the opposite operation. For example

The equation 4x = 3x - 8
We need to remove one set of the X variables, so you do the opposite operation and subtract 3x from both sides (NOT THE -8!) and then you end up with X = -8
Hope I helped!

In a pile of cards, there are four hearts, twelve clubs, and eight diamonds. How many times would we expect a diamond to be drawn in 300 trials?

Answers

The correct answer is c. 100.

Step-by-step explanation:

Number of cards in the given pile = 24

Total number of diamond cards in the pile = 8

Probability of picking up a diamond in a draw of card from the pile is given by .

There are supposed to be 300 trials.

Therefore number of times a diamond card is picked from the pile is given by 300 ×  = 100.

Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.


A large high school has been waging a campaign against drug use, particularly marijuana. Before the campaign began in
2007, a random sample of 100 students had their lockers checked for drugs. In 27 of the lockers, marijuana was found.
To assess if the program has been successful, another random locker check was conducted in 2017. This time, 30 out of
175 students had marijuana in their lockers. Using a = 0.05, is there evidence to suggest that the proportion of students
who are found with marijuana in their lockers has decreased?

Answers

Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the proportion has decreased.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is still the same, of 27/100 = 0.27, hence:

[tex]H_0: p = 0.27[/tex]

At the alternative hypothesis, it is tested if the proportion has decreased, hence:

[tex]H_1: p < 0.27[/tex].

What is the test statistic?

The test statistic is given by:

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

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

In this problem, the parameters are as follows:

[tex]n = 175, \overline{p} = \frac{30}{175} = 0.1714[/tex]

Hence, the value of the test statistic is given by:

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

[tex]z = \frac{0.1714 - 0.27}{\sqrt{\frac{0.27(0.73)}{175}}}[/tex]

z = -2.94.

What is the decision?

Considering a left-tailed test, as we are testing if the propoortion is less than a value, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is evidence that the proportion has decreased.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Find the value of AB in the given figure.​

Answers

Answer:

AB = 6 cm

Step-by-step explanation:

[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]

Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and , 1 hours serving customers. What were Delia's earnings? A. $46.97 B. $47.25 C. $53.00 D. $57.75​

Answers

Delia will earn $57.75 so it’s D

The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?


6. 75÷114. 75=n

6. 75÷n = 114. 75

6. 75n=114. 75

6. 75 + n= 114. 75

Answers

Answer:

6. 75n=114. 75

Step-by-step explanation:

each magazine cost: $6.75 plus tax

and on weekend the store collected it sale total: $114.75?

=> 6.75n = 114.75 = 17 magazines sold

Answer each question about the following series: 3 4.5 6 7.5 9 10.5. what is the common difference of the arithmetic sequence on which the series is based? d =

Answers

Answer:

45.6

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

In the given series 3 4.5 6 7.5 9 10.5

[tex]a_{1}=3[/tex]   ,    [tex]a_{2}=4.5[/tex]   ,   [tex]a_{3} =6[/tex]

As the series is arithmetic and in arithmetic series common difference is,

[tex]d=a_{2}-a_{1}[/tex]

[tex]d_{1} =4.5-3=1.5\\[/tex]

[tex]d_{2} =6-4.5=1.5[/tex]

So, common difference is 1.5

John has expenses that total $4280 a month. He spends 22% on his mortgage for his home each month. How much of his total does he spend on his mortgage?

Answers

John spent 943.58$ on his mortgage for his home.

Given a sphere with radius r, the formula 4πr2 gives
O A. the volume
B. the surface area
O C. the radius
D. the cross-sectional area

Answers

Answer:

B. The surface area

Step-by-step explanation:

The answer is B. the surface area

Which expression is equivalent to 3(2x+4y)-y? Show your work

A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y

Answers

Hey there!


3(2x + 4y) - y

= 3(2x + 4y) - 1y

= 3(2x) + 3(4y) - 1y

= 6x + 12y - 1y

= 6x + 11y


LETS TEST OPTION D. FOR YOUR RESULT…


Option D.
6(x + 2y) - y

= 6(1x + 2y) - 1y

= 6(1x) + 6(2y) - 1y

= 6x + 12y - 1y

= 6x + 11y


6x + 11y = 6x + 11y which makes this statement TRUE ☑️


Therefore, your answer is:

Option D. 6(x + 2y) - y


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find the volume of the cylinder, round your answer to the nearest tenth

Answers

Answer:

V≈502.65 rounding would be v = 503

You know

Step-by-step explanation:

About 40% of the boys in Walter’s school commute to school by bicycle. What is the probability that you must select at least four boys to find one boy who commutes by bicycle?

Use the table of randomly generated numbers to answer the question. The numbers 0 to 3 represent boys who commute to school by bicycle, and the numbers 4 to 9 represent boys who do not commute by bicycle.

003 448 311 790 832
265 843 608 354 736
578 994 968 895 754
660 340 085 622 968
346 353 312 544 167
978 005 371 146 607
323 337 821 617 892
976 985 448 830 409
549 804 464 597 323
147 317 789 915 267
Based on this data, the estimated probability that it will take at least four boys to find one who commutes by bicycle is (Blank Answer)

Answers

Answer:

The awnser is 0.32

Step-by-step explanation:

Hope this was helpful! Please mark as brainliest, thank you!

Huw is paid a weekly wage.

Every week he:
saves
1/5 of his wage,

spends 70% of the money he has left on his living expenses,

spends all that remains on his social life.

One week, Huw saves £40.


How much does Huw spend on his social life?


_____%

Answers

The total amount of wage Huw has every week
= 40 x 5
= £200

As he saves £40,
so the amount of money he spends on his living expenses
= (200-40) x 70%
= £112

The amount of money he spends on his social life
= 200 - 40 - 112
= £48

The percentage of the money he spends for his social life
= 48/200 x 100%
= 24%


A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume

Answers

Answer:

I dont know

Step-by-step explanation:

If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation

Answers

Answer:

D

-by-step explanation:

all other is incorrect

In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
What is the ratio of sinC?
Enter your answer as the fraction, in simplest terms, like this: 42/53

Answers

I don’t know but is the remain of in plus 8

Answer:72/97

Step-by-step explanation: took the test.

4, raised to what power, equals 1/4

Answers

Answer:x=-1

Step-by-step explanation:

4^x=1/4

x=-1

Please explain how you got to the answer. Brainly!!!!!

Answers

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

Which of the following statements about closure is NOT true?
Polynomials are closed under addition
Polynomials are closed under subtraction
Polynomials are closed under multiplication
Polynomials are closed under division

Answers

Answer:

Polynomials are closed under division is the answer.

Answer:

Polynomials are closed under division

Also:

were did you go man :(

How do I plot these in order because I’ve tried it multiple times and I cannot get the right answer.

Answers

Answer:

This shape is somewhat like a square, I believe.

Step-by-step explanation:

1st Point: Inside the I quadrant (the top right), by moving 1 1/2 units to the right on the x-axis, and 4 units up.

2nd Point: Inside the IV quadrant (bottom right), by moving 1 1/2 units to the right on the x-axis, and 8 units down.

3rd Point: Inside the IV quadrant (bottom right), by moving 5 units to the right on the x-axis, and 8 units down.

4th Point: Inside the I quadrant, by moving 5 units to the right on the x-axis, and 4 units up.

i forgot how to do this

help

Answers

Answer:

62.8 in

Step-by-step explanation:

C=2πr

r=10in

C=2*π*10

C=20*3.14

62.8 in

find x and y intercepts y=(2x+10)(x-2)

Answers

Step-by-step explanation:

[tex]y = (2x + 10)(x - 2)[/tex]

[tex]y = 2x(x - 2) + 10(x - 2)[/tex]

[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]

[tex]y = 2x ^{2} + 6x - 20[/tex]

[tex]to \: find \: x \: intercept \: y = 0[/tex]

[tex]0 = 2x ^{2} + 6x - 20[/tex]

[tex]x = 2 \: or \: - 5[/tex]

[tex]to \: find \: y \: intercept \: x = 0[/tex]

[tex]y = 2(0)^{2} + 6(0) - 20[/tex]

[tex]y = - 20[/tex]

Answer:

y = -20

x- 2, -5

Step-by-step explanation:

Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100

Answers

Last one. He needs at least 400 dollars. So 400/8=50 books
And maximum he can sell is 100 books cause thats all he got.
It is the second to last answer

simplify
p^2+pq+3qr+3pr
with steps

Answers

Answer: (p+q)(p+3r)

Step-by-step explanation:
p²+pq+3qr+3pr

Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.

p(p+q)+3r(p+q)

Factor out common term p+q by using distributive property.

(p+q)(p+3r)

The dimensions of a cone are shown in the figure below. What is the approximate volume, in cubic centimeters, of the cone?​

Answers

Answer:

B or 415

Step-by-step explanation:

the volume of a cone is given by the formula V = (pi × r^2 × h/3)

where,

V = volume of the cone,

r = the radius of the cone,

h = the height of the cone.

so by just plugging in the values we get the answer which is 415

if you need any further guidance make sure to ask. :)

The Volume of Cone is 414.48 cm³.

What is Volume?

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

radius = 6 cm

height = 11 cm

Now, slant height

= √r² + h²

= √11² + 6²

= √121+ 36

= √157

= 12.52 cm

Now, Volume of cone

= 1/3 πr²h

= 1/3 (3.14)(6)²(11)

= 1/3 (3.14)(36)(11)

= 414.48 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7

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