Students in a class were surveyed about the number of children in their families. the results of the survey are shown in the table. a 2-column table has 5 rows. the first column is labeled number of children in family with entries 1, 2, 3, 4, 5 or more. the second column is labeled number of surveys with entries 9, 18, 22, 8, 3. two surveys are chosen at random from the group of surveys. after the first survey is chosen, it is returned to the stack and can be chosen a second time. what is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family? startfraction 1 over 50 endfraction startfraction 2 over 15 endfraction startfraction 3 over 20 endfraction startfraction 17 over 60 endfraction

Answers

Answer 1

The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

What is probability?

The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.  

This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.

Together this gives us;

[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]

Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

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Answer 2

Answer:

1/50

Step-by-step explanation:


Related Questions

Please Help! There are 5 ss please answer all!!

Answers

Answer:

1st: Is the first answer. Circle P.

2nd: the central angle is , Angle BPC

3rd: The minor arc is BC

4th: MAjor arc is BAC

5th: Semicircle is ABC

Your car averages 31 mph on the highway, but the actual mileage varies from average by at most 5 mph. What is your range of mileage?​

Answers

Answer:

26-36

Step-by-step explanation:

If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.

Hope this helps! :)

QUICKK HELPPP!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.  

Can anyone solve this correctly?

Answers

Answer:

A.[tex]200.96 \: {ft}^{2}[/tex]

Step-by-step explanation:

Corral is circular in shape.

Radius of the corral would be be the distance from the post to the edge of the corral.

-> r = 8 ft

[tex]A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} [/tex]

Mr. nelson has 20 students in her classroom. She noticed 3/10 of her students have blue eyes and 1/2 of the students have brown eyes. The rest of the student has green eyes. What percent of the student in mr. Nelsons class have green eyes?

Answers

20 students. divide by half for borwn eyes. 10 left. subtract 3 because 3/10. That leaves 7. If you do 20 times 5, you get 100. 7 times 5 equals 45.

The answer is 45%

Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?

options:

90


100


10


95

Answers

Answer:

100

Step-by-step explanation:

What is the following product?
(~/14 - 3)(/12 +7)
O 2N/42+7N/2-6-/21
O 14-6+N7
• 26 + /21 -/15-/10
2,/42 - 21

Answers

(√14-√3)(√12-√7)√14(√12-√7)-√3(√12-√7)√168-√98-√36-√212√42-7√2-6-√21

Option A

The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equation to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x

Answers

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

How to derive an expression for the area of an unshaded region of a rectangle

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. [tex]\blacksquare[/tex]

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From their location in the diagram, what are two possible values for n and m?

A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.

m=3.3, n=−14

m=−2, n=−62

m=6, n=−43

m=−38, n=12

Answers

Concentric circle simply means the circle that has a common center or axis.

What is a concentric circle?

Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.

An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:

(x - h)² + (y - k)² = r².

In conclusion, when two circles have same center, they're called concentric circles.

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23 = y* 5 -2 what is y?

Answers

Answer:

5

Step-by-step explanation:

[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]

What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)? a. 5x2 − 25x 3 b. -5x2 − 25x 3 c. -5x2 x 3 d. -5x2 − 25x − 3

Answers

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

What is the simplified form of an expression?

The simplified form of an expression is the simplest way of expressing it, which is obtained  by applying the required operations of mathematics.

The expression given as,

[tex]2x(x - 6) - 7x^2 - (13x - 3)[/tex]

Open the brackets to solve it further,

[tex]2x(x - 6) - 7x^2 - (13x - 3)\\2x^2-12x-7x^2-13x-3\\2x^2-7x^2-12x-13x-3\\-5x^2-25x-3[/tex]

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

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help fast!! (no links please.)

Answers

Answer:

C) 3

Step-by-step explanation:

Plug in the values on c and d and solve

((3)^2 + (2)^2) - 2((3)^2 - (2)^2)

Solve inside the parenthesis first

(9+4) - 2(9-4) = (13) - 2(5)

Distribute the 2 and solve

13 - 10 = 3

Which number is equivalent to
0.0020635?

A 2.635 x 102

C 2.0635 x 102

B 2.635 x 10-3

D 2.0635 x 103

Answers

Answer:

2.635 x 10-3

Step-by-step explanation:

Since 0.0020635 has 3 zeros on the left of 2 then the power on 10 needs to be 3. AND since the zeros are in the left of 2 not right of 2, the power needs to be negative. So, 10^-3

find exact value to approximate value to 4 decimal places

In(5x+1)=2

Answers

Answer:

Answer is 1/5 which is exactly 0.2

Step-by-step explanation:

5x + 1 = 2

5x = 2 - 1

5x = 1

x = 1/5

x = 0.2

Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now​

Answers

Answer:

11500

Step-by-step explanation:

15÷100 = 0.15

0.15 × 10000 = 1500

10000 + 1500 = 11500

Sims has 2 packets of seeds, packet A and packet B. There are 12 seeds in packet A and 7of these are sunflower seeds. There are 15 seeds in packet B and 8 of these are sunflower seeds. Alia is going to take a random seed from packet A and a seed from packet B (a) complete the probability tree diagram.

Answers

Answer:

your answer is in the attachment

Step-by-step explanation:

find the profit if C.P=620 and S.p=760​

Answers

Answer: hope I helped look down

Step-by-step explanation:

Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%

Find the zeros of the function p(x) = -9x^2 + 1

Answers

Answer:

Zeros: 1/3 and -1/3

Step-by-step explanation:

You can solve this for the zeros by using the factoring method:

p(x) = (-3x-1)(3x-1)

Then, you take each factored equation and set it equal to zero:

-3x-1=0

3x-1=0

Then, solve for zero:

-3x=1    x=-1/3

3x=1     x=1/3

Your zeros are 1/3 and -1/3.

Four students provide the following approximations for startroot 0.89 endroot. anyah states that startroot 0.89 endroot is between 0.44 and 0.45 because 0.44 less-than startfraction 0.89 over 2 endfraction less-than 0.45. matthew states that startroot 0.89 endroot is between 0 and 1 because 0 less-than 0.89 less-than 1. rhoda states that startroot 0.89 endroot is between 0.9 and 1.0 because 0.9 squared less-than 0.89 less-than 1.0 squared. ming states that startroot 0.89 endroot is between 0.93 and 0.95 because (0.93) squared less-than 0.89 less-than (0.95) squared. which solution(s) are correct? anyah's only ming's only anyah’s, matthew’s, and rhoda’s matthew’s, rhoda’s, and ming’s

Answers

Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because 0.44<0.89/2<0.45.  This statement of anyah is false because the√0.89 = 0.9433.

2. Matthew states that the square root of 0.89 is between 0 and 1 because 0< 0.89<1. the value lies between 0 and 1 So this statement is true.

3. Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0. This statement is true because the square of 0.9 is 0.81 and 1.0 is 1, and 0.89 lies in between them. So the statement is true.

4. Ming states that the square root of 0.89 is between 0.93 and 0.95 because of 0.93^2 <0.89<0.95^2. this statement is also true.

Here Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

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Answer:

D

Step-by-step explanation:

a. yes, reflection across y=x
b. no
c. yes, rotation 180
d. yes, translation up 3 units

Answers

Answer:

A

filler filler filler

How many possible 10-digit phone numbers are possible (7 digits plus the
area code)? Type your answer into the box.

Answers

Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first 3 digits, which correspond to the area code, there are 325 options in total, that is, [tex]n_1n_2n_3 = 325[/tex].For the final 7 digits, each of them has 10 options.

Hence:

[tex]T = 325 \times 10^7 = 3,250,000,000[/tex]

3,250,000,000 phone numbers are possible.

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Find the surface area of the cylinder

Answers

Answer:

Surface area of the cylinder is 377 cm² (approximately)

Step-by-step explanation:

Given :-

Radius of the cylinder = 6cmHeight of the cylinder = 4 cm

To find :-

Surface area

Solution :-

We know that,

Surface area of cylinder = 2πr(h + r)

Substituting the required values,

➝ Surface area= 2 × 22/7 × 6 (6 + 4)

➝ Surface area = 264/7 (10)

➝ Surface area = 2640/7

➝ Surface area ≈ 377 c

Hence,

Surface area of the cylinder is 377 cm² (approximately)
Explaination :

After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.

Radius (r) = 6 cm Height (h) = 4 cm

As we know that total surface area of cylinder is calculated by the formula :

T.S.A. = 2πr (h + r)

Where,

r is radius h is height Value of π is 22/7

Putting the values in the formula :

>> T.S.A. = 2πr (h + r)

>> T.S.A. = 2 × (22/7) × 6 (6 + 4)

>> T.S.A. = 2 × (22/7) × 6 (10)

>> T.S.A. = 2 × (22/7) × 6 × 10

>> T.S.A. = 2 × (22/7) × 60

>> T.S.A. = (44 / 7) × 60

>> T.S.A. = 44 × 60 / 7

>> T.S.A. = 2640 / 7

>> T.S.A. = 377

Therefore,

Surface area is 377cm²

This is a lot of work into this!

Answers

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

How to determine the maximum revenue?

Represent bracelet with b and necklace with n.

From the question, we have:

                 b              n        Total

Unit           10          20        1000

Time         10           40        1600

Cost         5           7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

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What is the least common multiple of 8, 25, and 40?

Answers

Answer:200

Step-by-step explanation:

WILL GIVE BRAINLIEST
Rewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit.

Answers

Answer:

[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]

Step-by-step explanation:

The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

We have given the equation,

2x²+2y²-8x + 10y+2 = 0

Divide by 2,

x²+y²-4x + 5y+1 = 0

Arranging the terms to make a complete square of variable x and y.

x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4

(x-2)²+ (y + 5/2)² = 37/4

This is the form of a circle.

Use this form to determine the center and radius of the circle.

(x−h)²+(y−k)²=r²

Match the values in this circle to those of the standard form.

The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.

r=(√37) / 4, h=2, k= -5/2

The center of the circle is found at (h,k).

Center: (2, -5/2)

Therefore, center: (2, -5/2), radius: (√37) / 4

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How to change 1.2/6 into a decimal?

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

1.2 is the same as:12 ÷ 10= [tex]\frac{12}{10}[/tex]dividing by 6 is the same as[tex]\frac{1}{6}[/tex]1.2 ÷ 6= [tex]\frac{12}{10}[/tex] × [tex]\frac{1}{6}[/tex]we can times the tops and bottoms together= [tex]\frac{12}{60}[/tex]We can simplify thisFor example, the top and bottom are both even numbers= [tex]\frac{6}{30}[/tex]We can simplify again by dividing by 2= [tex]\frac{3}{15}[/tex]We can simplify again by dividing by 3= [tex]\frac{1}{5}[/tex]

Ed and Fay shared £330 in the ratio 7 : 4

Ed gives Fay some of his money.

Fay now has the same amount as Ed.

How much does Ed give Fay?

Answers

Ed must give Fay a total of £45 for both to have the same amount of money.

How to solve ratio

Total = £330

Ed = 7Fay = 4Total ratio = 7 + 4

= 11

Ed share = 7/11 × 330

= £210

Fay share = 4/11 × 330

= £120

For Ed and Fay to have the same amount of money, their share must be exactly half of £330.

That is, they must each have £330/2

= £165

Fay:

£165 - £120 = £45

Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.

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During the movie norma ate 3 handfuls of snack mix and brennan ate 1 3/8 handfuls how much more did norma eat?

Answers

Answer:

1.625 more handfuls

Explanation:

To start, we know that Norma ate 3 handfuls

n (Norma) = 3

Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls

b (Brennan) = 1.375

To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.

An equation for this (if it helps) would be

n - b = x

To solve, substitute the values to find x

In conclusion, Norma ate 1.625 more handfuls than Brennan

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Sally dug a hole 5 feet deep to plant roses. She
dug a second hole 8 feet deep for tulips.
Represent the depths as integers.
Which plant is closer to the surface?

Answers

Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

therefore, the roses are closest to the surface.

If f(x) = 8 – 10x and g(x) = 5x 4, what is the value of (fg)(–2)? –196 –168 22 78

Answers

After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.

What is Function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.

f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?

Replace x in each equation with -2:

f(x) = 8 -10(-2) = 8 +20 = 28

g(x) = 5(-2) + 4 = -10 + 4 = -6

Now multiply the two"

28  * -6 = -168

The answer is -168

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