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!
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?
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.
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.
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°
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?
Answer:
39.02%
or
39%
Step-by-step explanation:
3 square feet divided by 1/7 ft
Answer: 6.4008
Step-by-step explanation:You can use the Calculator EX clap.
Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.
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
which is a linear function
Answer:
B
Step-by-step explanation:
a linear function will always have a constant rate of change.
how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles
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.
What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8
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!
A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?
Answer:
324
Step-by-step explanation:
what is 917 divided by 63
Answer:
14.55
Step-by-step explanation:
-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP
Answer:
0
Step-by-step explanation:
Write the equation of the line that passes through (-4,2) and (12,6)
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
Are 18:3 and 6:1 equivalent radios?
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
5X+17=7 PLEASE HELP FAST
Answer:
x = -2Step-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
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Please help as soon as possible
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).
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?
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.
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
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?
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
which one is the warmest and why please
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.
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?
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.
Answer please I’ll give you branliest
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
Answer:
$18.32
Step-by-step explanation:
First one is not possible. Same for 18.42
The T.V.'s original price was $420. It was on sale for 40% off. What is the sale price?
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.
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
Answer:
B. (-12)(-12)=144 Hope that helps
Step-by-step explanation:
PLEASE!!
NEED HELP
ASAP
Answer:
set of all solutions
Express 14 inches: 3 feet in fraction form
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!
7 1/5 - 6 2/5 = ?
A. 1 4/5
B. 4/5
C. 13 3/5
D. 1 1/5
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?
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:
https://brainly.com/question/14881622
#SPJ2
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°
Answer:
x = z
x + y = 180
Step-by-step explanation:
I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.
Answer:
thank you
Step-by-step explanation: