At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at the fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.

Answers

Answer 1

The ratio of the number of female attendants to the number of male attendants is 21/17

Ratio

Amount donated by female attendant = $1200Amount donated by male attendant = $800Average donation = $900

let

number of female attendant = xnumber of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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Related Questions

Lunch costs $6.90. How much change will
Hector get from $20.00?

Answers

Answer: 22

Step-by-step explanation:

The length of time needed to complete a certain test is normally distributed with mean 44 minutes and standard deviation 8 minutes. Find the probability that it will take less than 34 minutes to complete the test.

Answers

The probability that it willtake less than 34 minutes to complete the test is 0.1056

Given mean of 44 minutes and standard deviation of 8 minutes.

We have to find the probability that it will take less than 34 minutes to complete the test.

The probability lies between 0 and 1. The formula to calculate probability is number of items divided by total items but it can also be found through z test calculations.

We are using z test to find the probability.

Z=X-μ/σ

Where μ is sample mean and

σ= standard deviation

Z is z value

First we will find the p value from 34 to 44.

Z=34-44/8

=-10/8

=-1.25

P value for X<34=P(Z<-1.25)

=0.5-0.3944

=0.1056.

Hence the probability that it will take less than 34 minutes is 0.1056.

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The centreville city council conducts a survey to find out how many people would be willing to donate money to update the town's library. they randomly select 200 people for the survey, and 80 people say they would donate. if 9,800 people live in centreville, about how many people would likely donate?
a. 122
b. 280
c. 3,920
d. 5,880

Answers

(C) 3,920 people would likely donate.

What is the percentage?

A percentage (from Latin per centum "by a hundred") is a number or ratio stated as a fraction of 100 in mathematics. It is frequently symbolized with the percent sign, " percent ". A % is a dimensionless (pure) number; it does not have a unit of measurement.

To find about how many people would likely donate:

First, find 80 is what percent of 200.

∴  [tex]\frac{80}{200} * 100 = 40%[/tex]

So, 80 is 40% of 200.

Centreville population is 9,800.

Now, take out 40% of 9,800.

[tex]\frac{x}{9,800} *100 = 40\\\frac{x}{98} =40\\98*40 = 3,920[/tex]

Therefore, (C) 3,920 people would likely donate.

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If a skydiver jumps out of an airplane and falls at 212 mph, what is the skydiver's velocity and speed?

Answers

The skydiver is falling at a speed of 212 miles per hour.

The speed of the skydiver is 212 mph.

What are Speed and Velocity?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, whereas velocity is a vector, speed is a scalar quantity.

Given:

If a skydiver jumps out of a plane and plummets to the ground while falling at 212 mph.

To Find:

Speed and acceleration of the skydiver.

Velocity is the speed with a direction, whereas speed is only a number with a speed unit at the end.

While velocity refers to the speed and direction of an object's movement, speed refers to the time rate at which an object moves along a path.

212 miles per hour is the descending velocity of the skydiver.

At 212 miles per hour, the skydiver is moving.

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Can someone please help with this question. 20 points up for grabs!!

Answers

Based on the railway timetable given, the time the first train reaches Oakengates is 0815.

The time taken to reach Shrewsbury from Telford Central is 22 minutes.

What does the train timetable show?

Oakengates is 2 minutes away from Telford Central so when a train leaves the latter and arrives at 0815, this is the first train to Oakengates.

If one left Telford Central at 0852, they would reach Shrewsbury at 0914 to make it:

= 0914 - 0852

= 22 minutes

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When positive integer x is divided by positive integer y, the remainder is 9. If = 96.12, what is the value of y ? 96 75 48 25 12

Answers

Y= 75.

Lets try to solve it,

When positive integer x is divided by positive integer y, the remainder is 9

=> x=qy+9;

=> x/y=96.12

=>x=96y+0.12y (so q above equals to 96);

=>0.12y=9

=> y=75.

Hence the value of y would be 75.

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NEED HELP ASAP

Which of the following correctly demonstrates how to factor x² - y²?
A.(x - y)²
B.(x-y)(x+y)
C.(x+y)(x+y)
D.2(x - y)

Answers

Answer:

B.(x-y)(x+y)

Step-by-step explanation:

The factor of x² - y² can be represented by,

A.(x - y)²

INCORRECT:

Translated to (x - y)(x - y) as the exponent says it multiplied by it self

(x - y)(x - y) = x²- 2xy + y² which doesn't match

B.(x-y)(x+y)

Correct!

x times x =  x²

-y times y = -y²

x² - y²

C.(x+y)(x+y)

INCORRECT

x times x =  x²

y times y = y²

x² + y² which doesn't match as y positive here

D.2(x - y)

INCORRECT

distribute 2 so 2x - 2y which isn't the original

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A sample of 66 observations will be taken from an infinite population. the population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is:_________.

Answers

Using the normal distribution, the probability that the sample proportion will be less than 0.1768 is of 0.9222 = 92.22%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For this problem, the proportion and the sample size are given by:

p = 0.12, n = 66.

Hence the mean and the standard error are:

[tex]\mu = p = 0.12[/tex].[tex]s = \sqrt{\frac{0.12(0.88)}{66}} = 0.04[/tex]

The probability that the sample proportion will be less than 0.1768 is the p-value of Z when X = 0.1768, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.1768 - 0.12}{0.04}[/tex]

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

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It cost $1031 for a camping trip. You have to pay $231
to park for the entire trip and $200 per day for the
camping site.
Create the equation below to represent this situation.

Answers

The equation that represent this situation is as follows:

1031 = 231 + 200d

How to find the equation that represent the situation?

It cost $1031 for a camping trip.

You have to pay $231 to park for the entire trip and $200 per day for the

camping site.

Therefore,

let

d = days on the camping site.

Therefore, the equation that represent this situation is as follows:

1031 = 231 + 200d

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On a particular vehicle, the front tire makes three revolutions for every one revolution the back tire makes. How many times larger is the radius of the back tire than the radius of the front tire?

Answers

Answer:

3 times larger

Step-by-step explanation:

Front tire circumference = pi *d

rear tire is 3 times this   = pi 3 d

   so rear tire has radius 3x that of the front tire

Kady and Scott both invest £800.

Kady invests in an account that gives 15.2% compound interest per annum.

Scott invests in an account that gives 15.9% simple interest per annum.

After how many years is Kady's investment worth more than Scott's?

Answers

Answer:we smoking fredoooooooooo

PLEASE HELP 50 POINTS

Answers

Step-by-step explanation:

The initial velocity of a particle moving along x−axis is u (at t=0 and x=0) and its acceleration a is given by a=kx.

Help please you don’t know how much this means to me

Answers

Problem 5:

[tex]db {}^{2} - ab {}^{2} = ab {}^{2} - ae {}^{2} \\ db {}^{2} = 2ab {}^{2} - ae {}^{2} \\ (ac + bc) {}^{2} = 2ab {}^{2} - ae {}^{2} \\ ac {}^{2} + bc {}^{2} + 2ac.bc = 2ab {}^{2} - ae {}^{2} \\ 2ac.bc = ab {}^{2} - ae {}^{2} [/tex]

[tex]2ac.bc = ab {}^{2} - (ac {}^{} - ce) {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} + 2ac.ce - ce {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} - cb {}^{2} + 2ac.ce \\ but \: ab {}^{2} - ac {}^{2} - cb {}^{2} = 0 \\ 2ac.bc = 2ac.ce \\ bc = ce \\ which \: is \: true[/tex]

determine which two of the three given triangles are similar. Find the scale factor for the pair.

Answers

XYZ and STU
scale factor 3:4

WILL MAKE BRAINLIEST!!
Find the correct angle measure for angle b in each figure.

_1. 52°

_2. 27°

_3. 32°

_4. 98°

Answers

Answer
a first one is 52 (90-38=52)
Second one is 32 (180-148=32
I can’t see the third or 4th one

write the equation of a line this is parallel to y=0.5x-4 and that passes through the point (9,-6).

Answers

Answer:

[tex]y=0.5x-10.5[/tex]

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is 0.5.

Substituting into point-slope form and converting to slope-intercept form,

[tex]y+6=0.5(x-9) \\ \\ y+6=0.5x-4.5 \\ \\ y=0.5x-10.5[/tex]

(pls help me with this)

4. The points C and D are (4, 5) and (p, q) respectively,

a) Write down, in terms of p and q, the coordinates of the midpoint of CD.

b) Given that the midpoint of CD is (7, 1), find the coordinates of D.​

Answers

A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

A. How to determine the mid pointCoordinate of C = (4, 5)Coordinate of D = (p, q)Mid point =?

Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

Y = (5 + q) / 2

Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

B. How to determine the coordinates of DMid point = (7, 1)Coordinates of D =?

Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

7 = (4 + p) / 2

Cross multiply

7 × 2 = 4 + p

14 = 4 + p

Collect like terms

p = 14 - 4

p = 10

Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

2 = 5 + q

Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

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If tanA+cotA=2, then find the value of tan^2A+cot^2A.

Answers

tan45° = cot45° = 1

---> If tanA + cotA = 2, then A is 45°.

---> tan²A + cot²A = 1² + 1² = 2

The correct answer is 2

i would appreciate it sm if u anyone responded
x-2(x+1)+3(x-2)+2(x-6)=0

Answers

Answer:

x = 5

Step-by-step explanation:

Simplifying the expression:

                       x - 2(x +1) + 3(x -2) + 2(x - 6) = 0

x + (-2)*x  + (-2)*1 + 3*x +3*(-2) + 2*x + 2*(-6) = 0

                            x - 2x -2 + 3x - 6 + 2x - 12 = 0

                          x - 2x + 3x + 2x - 2 - 6 - 12 = 0

Combine like terms. Like terms have same variable with same power.

                                                          4x - 20 = 0

Add 20 to both sides.

                                                                 4x  = 20

Divide both sides by 4

                                                                   x = 20/4

                                                                   x = 5

Answer:

x = 5

Step-by-step explanation:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

here, we need to distribute the numbers on the outside of the parentheses to the inside numbers.

As you may know, when two numbers are in parentheses, they are to be multiplied--and it is the same idea here.

When we have a number, say 3, multiplied by parentheses, say (x - 2), we multiply all inside numbers by the outside number, which is called distributing.

We know that 3(x) = 3x, and that 3(-2) = -6, so we distribute

3(x  - 2)       to be        3x - 6

let's do that for all of our parentheses:
x  -2(x+1) + 3(x-2) + 2(x-6) =  0

-2( x  + 1 )

-2x   -  2

3(x  - 2)

3x   -  6

2( x  - 6)

2x  - 12

Now, let's rewrite our problem:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

x     - 2x  - 2    + 3x -6     + 2x - 12    = 0

First, we should combine like terms:

x - 2x  + 3x + 2x          - 2 - 6 - 12    = 0

(x - 2x = -x;  -x + 3x = 2x;  2x + 2x = 4x)

( - 2 - 6 = -8; -8 - 12 = -20

So, we are left with:

4x  -  20 = 0

At this point, we want to get x alone (so that we can find what "x" is)

4x - 20 = 0  

    + 20    + 20       ( add 20 to both sides of the equation to isolate x )  

   4x     =    20

  ÷ 4          ÷ 4           (divide both sides by 4 to find "1"x)

     x  =  5

So, we know that the value of x is 5, or x = 5

hope this helps! let me know if you need clarification on anything :)

Find the volume of the composite figure. Round to the nearest tenth if necessary.

Answers

The volume of the given composite solid is 375 m³

Volume of composite solid

From the question, we are to determine the volume of the composite solid

The volume of the composite solid = Volume of the cuboid + Volume of the triangular prism

Thus,

Volume of the composite solid = (5 × 5 × 13) + 1/2(5 × 4 × 5)

Volume of the composite solid = 325 + 50

Volume of the composite solid = 375 m³

Hence, the volume of the given composite solid is 375 m³

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Find the common ratio for 0.1,0.01,0.001

Answers

The common ratio of the set of data is 0. 1

How to determine the common ratio

To determine the common ratio of a set of data, we have to

Divide the second term by the first term orDivide the third term by the second term

For the given set of data

0.1,0.01,0.001

Let's divide the second term by the first term

= 0. 01/ 0. 1

= 0. 1

Thus, the common ratio of the set of data is 0. 1

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the product of two numbers is 8933. If each of the two numbers is doubled the product of these larger numbers is?

Answers

The product of two numbers when doubled, the product of these larger numbers is 35,732

Product

let

The two unknown number = x and y

product of x and y = 8933

x × y = 8933

If each of the two numbers is doubled

2x × 2y = 8933

4xy = 4(8933)

4xy = 35,732

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A 14 oz bag of flour costs $2.95 and a 28 oz bag of flour costs $6.20. What is the price per ounce of the 14 oz bag of flour?

Answers

The price per ounce of the 14 Oz bag of flour is; ¢21.1.

What is the price per ounce of the 14 oz bag of flour?

Since it follows from the task content that the 14 Oz bag of flour sells for $2.95 which is equivalent to ¢295 since $1 = ¢100.

It follows that the price per ounce of the 14oz bag of flour is; = ¢295/14 = ¢21.1

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Please help me on this thanks, I got the right answer but I still don’t understand

Answers

His present age is 13 years.

How to solve words problems ?

The words problem can be solved as follows:

let

his present age = x

Therefore,

3(x + 5) = 54

Hence,

3(x + 5) = 54

3x + 15 = 54

subtract 15 from both sides

3x + 15 - 15 = 54 - 15

3x = 39

divide both sides by 3

3x / 3 = 39 / 3

x = 13

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Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not similar, explain why.

Answers

Answer: No, they are not similar

Step-by-step explanation:

       Similar triangles are triangles with congruent angles.

                   33° ≠ 32°

       These triangles are not similar.

Kenny wants to fill his attic with insulation. If the insulation costs $16.75 per cubic yard, how much would it cost to fill Kenny's entire attic?
9 yd
3 yd
5 yd
4 yd
A. $904.500
B. $938.00
OC. $1,038.50
D. $1,155.75

Answers

The total cost to fill Kenny's entire attic given the cost per cubic yards is $904.50; option A

Triangular prism

Cost of insulation = $16.75 per cubic yard

[tex]V = 1/4h \sqrt{ { - a}^{4} + 2 {ab}^{2} } + 2 {ac}^{2} - {b}^{4} + 2 {bc}^{2} - {c}^{4} [/tex]

= 1/4×9 √-4⁴ + 2(4×5)² + 2(4×3)² - 5⁴ + 2(5×3)² - 3⁴

= 9/4√256 + 2(20)² + 2(12)² - 3125 + 2(15)²- 81

= 9/4√256 + 2(400) + 3(144) - 3125 + 2(225) - 81

= 9/4√256 + 800 + 432 - 3125 + 450 - 81

= 9/4√-1268

= 54 cubic yard

Total cost to fill Kenny's entire attic = 54 × $16.75

= $904.50

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Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.
x > y
v > x
w = y
y < v
v = w
x < w

Answers

The statements that are true about the angle include:

x > y

w = y

y < v

How to illustrate the information?

From the information, the first has legs 529m and 229m. Then tan x = 529/229. Also tan y = 529/347.

It can be seen that tan x is greater than tan y. Angles x, v, y, and w are alternate angles. Therefore, the correct options are A, C, avd D.

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true

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Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.

Answers

The explanation regarding the vector is illustrated below.

How to illustrate the information?

It should be noted that vector A with components a, b, c, can be written as (a, b, c) or in terms of unit vectors as ai + bj + ck.

In this case, the letters I, j, and k are the standard symbols for the unit vectors in the x, y, and z directions.

Therefore, if A = (3,4,5( you can write A = 3i + 4j + 5k.

If B = (1, 1, 1), you can write B = I + j + k.

Then A - B is the vector whose component are the difference in each components.

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To study the population of consumer perceptions of new technology, sampling of the population is preferred over surveying the entire population because ______.

Answers

Because It is quicker and fast.

Sampling:

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

Sampling is the selection of a subset of the population of interest in a research study. In the vast majority of research endeavors, the participation of an entire population of interest is not possible, so a smaller group is relied upon for data collection.

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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite
direction. The number b varies directly with the number a. For example b = 22 when a = -22. Which
equation represents this direct variation between a and b?
b=-a
-b=-a
b-a=0
b(-a) = 0

Answers

Answer:

b = -a

Step-by-step explanation:

Since a and b are equally distant to zero but in opposite directions, a and b are opposites, or additive inverses.

The sum of additive inverses is zero.

a + b = 0

b = -a

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