There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?

Answers

Answer 1

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!


Related Questions

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

3 square feet divided by 1/7 ft

Answers

Answer: 6.4008

Step-by-step explanation:You can use the Calculator EX clap.

Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?

Answers

Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm

Step-by-step explanation:

mode = 65*2.54 = 165.10 cm

median = 72*2.54 = 182.88 cm

mean = 70*2.54 = 177.80 cm

The values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Given,

The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.

We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.

How many cm in one inch?

There is 2.54 cm in one inch.

Example:

If we want to find cm in 4 inches.

We just multiply 4 with 2.54 cm.

2.54 cm = 1 inch

4 x 2.54 cm = 4 x 1 inch

10.16 cm = 4 inches

We have,

We know that,

1 inch = 2.54 cm

Mode = 65 inches

1 inch = 2.54 cm

64 inches = 64 x 2.54 cm = 162.56 cm

Median = 72 inches

72 inches = 72 x 2.54 cm = 182.88 cm

Mean = 70 inches

70 inches = 70 x 2.54 cm = 177.8 cm

Thus the values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Learn more about the conversion of inches to cm here:

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Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.​

Answers

Answer: k = 3

Step-by-step explanation:

U first expand

96 - 8k = 3k + 63

Then u add 8k from both sides

96 = 3k + 63 + 8k

then u simplify

3k + 63 + 8k to 11k + 63

then u subtract 63 from both sides

96 = 11k + 63

Then u simplify 96 - 63 to 33

33 = 11k

Then u divide both sides by 11

33/11 = k

then u simplify 33/11 to 3

3 = k

and last u switch the sides

k = 3

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:


Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3

Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.

1. What does your analysis indicate?

a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.

2. What is the P-Value associated with your decision above?

a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289

Answers

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is [tex]d = 6[/tex]

Generally the sample mean of the input temperature is  

     [tex]\= x_1  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]

=>  [tex]\= x_1  = 62.57 [/tex]

Generally the sample mean of the output temperature is  

     [tex]\= x_2  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]

=>  [tex]\= x_2 = 55.97 [/tex]

Generally the difference of the sample mean of the input temperature and that of the output temperature is  

     [tex]\= d  =  \= x_1  - \= x_2[/tex]

=>  [tex]\= d  =  62.57 -55.97[/tex]

=>  [tex]\= d  =  6.6[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]

=>  [tex]s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }[/tex]

=>  [tex]s_d  = 1.732 [/tex

Generally the test statistics is mathematically represented as

     [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }[/tex]

=>   [tex]t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t  =  1.3417[/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df =  n -  1[/tex]

=>  [tex]df =  15 -  1[/tex]

=>  [tex]df =  14[/tex]

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  [tex]df =  14[/tex] is  

      [tex]P(t >1.3417 )  =  0.10052569[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P(t >  1.3417)[/tex]

=>    [tex]p-value  =  2 *   0.10052569[/tex]

=>   [tex]p-value  =  0.201 [/tex]

From the values obtained we see that [tex]p-value  >  \alpha[/tex] hence

The decision rule is  

Fail to  reject the null hypothesis

The conclusion is  

The cooling system changes the temperature of the water by 6 degrees.

 

Which is the last operation when evaluating (8-2x)2+4 for x=3?

Answers

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?

Answers

Answer:

60

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

       = 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

Write the equation of the line that passes through (-4,2) and (12,6)

Answers

Answer:

y=[tex]\frac{1}{4}[/tex]x+3

Explanation:

you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope

2.
Fifty people who watch television were recently
polled as to which type of program they preferred.
The results are shown in the table.
Television Survey
Type of Show Number
who watch
comedy
16
documentary 9
drama
12
musical
8
news
5
What percent of those surveyed preferred to watch
comedy shows?

Answers

Answer:

39.02%

or

39%

Step-by-step explanation:

I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.

Answers

Answer:

thank you

Step-by-step explanation:

The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.

Answers

Answer: 29.2 degree

Step-by-step explanation:

Given data:

Elevation of the pilot = 50,000 feet

Elevation of the two towers = 300 feet apart.

Depression of closer tower = 30

Solution:

The angle of depression to the second tower is x

tanx = 5000/(5000*√(3)+300)

x=29.2

Therefore the angle of depression of the second tower is at 29.2 degree

Answer:

29.2°

Step-by-step explanation:

From diagram (b)

Tan θ= opp/adj

Where θ = 30°

opp = 5000ft

adj = ?

tan 30° = 5000/x

x tan30° = 5000

x = 5000/tan 30

x = 5000/0.577

x = 8665.5ft

From diagram c

tan θ = opp/adj

Where θ = ?

opp = 5000

adj = 300+x

x= 8665.5

tan θ = 5000/300+8665.5

tan θ = 5000/8965.5

tan θ = 0.55769

θ = arch tan 0.55769

θ = 29.147

θ= 29.2°

Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51

Answers

C. 25(-5) = 125 this is the answer

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

Answer please I’ll give you branliest

Answers

Trueeeeeeeeeeeeeeeeeeeeeeeeeeereeeeeeeeeeee

which is a linear function​

Answers

Answer:

B

Step-by-step explanation:

a linear function will always have a constant rate of change.

It’s a constant rate but it changes

Express 14 inches: 3 feet in fraction form

Answers

Answer: 4 [tex]\frac{2}{12}[/tex]

Step 1: Convert 14 inches to feet and inches.

14 inches = 1 foot, 2 inches.

Step 2: Find the total.

4 feet, 2 inches.

Step 3: Write two of twelve inches as a fraction.

Answer = [tex]\frac{2}{12\\}[/tex]

Step 4: Write final answer down correct.

4 [tex]\frac{2}{12}[/tex]

Hope this helps you!

-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP

Answers

Answer:

0

Step-by-step explanation:

5X+17=7 PLEASE HELP FAST

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

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A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?​

Answers

Answer:

324

Step-by-step explanation:

PLEASE!!

NEED HELP

ASAP

Answers

Answer:

set of all solutions

Are 18:3 and 6:1 equivalent radios?

Answers

Answer:

Yes

Step-by-step explanation

6:3 multiply by 3 is equal to 18:3

Answer:

Yes

Step-by-step explanation:

This is because 6x3 is 18 for the 18:3 and 1x3 is 3 in the 18:3. You can also think it this way, 18/3 and 6/1 if you divide both you get an answer of 6 so they both are the same meaning making them equivalent

what is 917 divided by 63

Answers

Answer:

14.55

Step-by-step explanation:

how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles

Answers

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Please help as soon as possible

Answers

Answer:

a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).

b. angles 4 = 140 degrees

Step-by-step explanation:

a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.

Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).

which one is the warmest and why please​

Answers

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

Answer:

Wilmington

Step-by-step explanation:

All the others are negative, but Wilmington is zero degrees which is non negative.

What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8

Answers

9514 1404 393

Answer:

  54.5868

Step-by-step explanation:

The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...

  54.5868

__

Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.

Answer: 54.5868

Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.

.54 x .42 = 9.5868

45 + 9.5868 = 54.5868.

Hope this helps!

Jane bought 12 identical beanie babies for her sister’s birthday goody bags. Is it possible that without tax her purchase was: $16.20, $18.32, $18.42

Answers

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different​ prizes: an automobile valued at ​$​, a ​$ gas​ card, or a ​$ shopping card. To claim his or her​ prize, a prospective customer needed to present the flier at the​ dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of ​, the chance of winning the gas card was 1 out of and the chance of winning the shopping card was out of 31,866​, the chance of winning the gas card was 1 out of 31,866, and the chance of winning the shopping card was 31,864 out of 31,866.

Required:
a. How many fliers do you think the automobile dealership sent​ out?
b. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the expected value of the prize won by a prospective customer receiving a​ flier?
c. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a​ flier?

Answers

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

P.
9
Letters x, y, and z are angle measures. Which
equations would guarantee that lines p and q are
parallel? Check all that apply.
x= Z
O x + y = 180°
X+ z = 180°
y 2
Ox=y
z = 180°

Answers

Answer:

x = z

x + y = 180

Step-by-step explanation:

The T.V.'s original price was $420. It was on sale for 40% off. What is the sale price?

Answers

Answer:

252.00

Step-by-step explanation:

Answer

For a discount of 40% The T.V. would be selling for $252

Step-by-step explanation:

40% Of $420 is $168, $420 - $168 is $252.

7 1/5 - 6 2/5 = ?
A. 1 4/5
B. 4/5
C. 13 3/5
D. 1 1/5

Answers

it should be 4/5 probably
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