The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students’ answers. If there are 18,500 students at the college, how many chose Drama , Other, or Comedy ?
Answers
Answer:
12950
Step-by-step explanation:
comedy : 20% => 20 × 18500 ÷ 100 = 3700
drama : 23% => 23 × 18500 ÷ 100 = 4255
other : 27% => 27 × 18500 ÷ 100 = 4995
all together: (20 + 23 + 27) × 18500 ÷ 100 = 3700+4255+4995 = 12950
The solution is 12950.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
from the given graph, we get,
comedy : 20%
=> 20 × 18500 ÷ 100
= 3700
drama : 23%
=> 23 × 18500 ÷ 100
= 4255
other : 27%
=> 27 × 18500 ÷ 100
= 4995
so, we get,
all together: (20 + 23 + 27) × 18500 ÷ 100
= 3700+4255+4995
= 12950.
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Related Questions
The surface area of a cube is 96 cm2. What is The volume of the cube in cm3
Answers
Answer:
64
Explination:
4 is the length of one side because 96/6(the ammount of faces)=16 and the square root of 16 is 4 and since the area of a cube is one side^3 this is the answer
Remember to mark brainliest
730,000,000 in scientific notation.
Answers
Answer:
7.3×10^8
Step-by-step explanation:
Hi
scientific notation mean the answer is of the form x *10^y
where x ∈ [1; 10[ and y ∈ Z
so 730 000 000 is 7.3 * 10^8
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)} What is the range of A?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \: , \: 1 \: , \: 3 \: }}}}}[/tex]
Step-by-step explanation:
Given,
A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )
To find : Range
Range are set of all y - co-odinates.
So, Range = { - 2 , 1 , 3 }
Hope I helped!
Best regards!!
Answer:
(-2,1,3)
Step-by-step explanation:
ODY 2022
X^2-2x-48
Factor the polynomial
Answers
Answer:
x=1
x=-6
Step-by-step explanation:
I used my ti-84 plus ce calculator and that is the answer I got
>download quadsolv
>prgm
>quadsolv
>enter the equation
>solve
Answer:
= (x + 6) (x - 8)
Step-by-step explanation:
x² - 2x - 48
break the expression into groups:
= (x² + 6x) + (-8x - 48)
= x (x + 6) - 8(x + 6)
= (x + 6) (x - 8)
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 43 and 49
Answers
Answer:
P( 43 ≤ X ≤ 49) = 0.9545
Step-by-step explanation:
We are given mean of 46 and a standard deviation of 3
We want to find the percentage of daily phone calls numbering between 43 and 49. This can be written as;
P( 43 ≤ X ≤ 49)
Using the z-formula, we have;
z = (x - μ)/s
This transforms to;
P((43 - 46)/3)) ≤ Z ≤ ((49 - 46)/3))
This gives;
P(-2) ≤ Z ≤ P(2)
From z - table attached, P(-2) = 0.02275 and P(2) = 0.97725
Thus;
P( 43 ≤ X ≤ 49) = 0.97725 - 0.02275
P( 43 ≤ X ≤ 49) = 0.9545
Ingredients for 16 brownies:
2/3 cup butter, 5 ounces unsweetened chocolate, 1 and 1/2 cups sugar, 2 teaspoons vanilla, 2 eggs, 1 cup
How much of each ingredient is needed to make 12 brownies?
Answers
Answer:
1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.
Step-by-step explanation:
There are several ways to solve this, I like using proportions.
(You could also find 3/4 of every ingredient since 12 is 3/4s of 16)
We can do this by temporarily naming the amount of each ingredient a variable, and then using the proportion to find the variable.
Note that in a given proportion such as:
a/b=c/d
will always equal
a*d=b*c
This is known as cross multiplying.
For each ingredient I'm going to set up the following proportion:
[tex]\frac{amount of given ingredient in 16 brownies}{16 (number of brownies)} = \frac{variable (amount of given ingredient in 12 brownies}{12 (new number of brownies)}[/tex]
Now we can start setting up proportions for every ingredient.
Butter:
(2/3)/16=b/12
(2/3)(12)=16b
8=16b
b=1/2
Chocolate:
5/16=c/12
60=16c
c=60/16
c=15/4
Sugar:
(3/2)/16=s/12
(3/2)(12)=16s
18=16s
s=18/16
s=9/8
Vanilla:
2/16=v/12
24=16v
v=24/16
v=3/2
Eggs:
2/16=e/12
24=16e
e=3/2
Flour:
1/16=f/12
12=16f
f=3/4
Therefore, the ingredients for 12 brownies would be:
1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.
What is a square matrix
Answers
Answer:
A square matrix is a matrix with the same number of rows and columns.
Step-by-step explanation:
In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order. Any two square matrices of the same order can be added and multiplied. Square matrices are often used to represent simple linear transformations, such as shearing or rotation.
MAAM or SIR I AM FACING PROBLEM TO SOLVE THESE QUESTION WOULD YOU HELP ME WITH IT
Answers
Answer:
1. Kate travelled more by 83.87km 2. = 42.5, 85 3. a= 2570 b= 348.9 c= 0.0048 d= 0.765 4. = 15.25
Step-by-step explanation:
1. 320.25km- 236.38km = 83.87km.
2. 8.5x5= 42.5, 8.5x10 = 85.
3. a= 2570 b= 348.9 c= 0.0048 d= 0.765
4. 17.75- 2.5 = 15.25.
hope you found this helpful :)
The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds can be modeled by the graph below. Which equation is represented in the graph below? On a coordinate plane, a curve crosses the y-axis at (0, negative 5). It increases to (1, 5) and then decreases to (2, negative 5). 5 cycles are shown.
Answers
The travel of the spring is it’s amplitude, which is a cosine function.
The lowest y value is -5
Multiply that by cosine of pi x time
The formula is d = -5cos(pi t)
The equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t.
We know the cosine equation for distance d:
d = acos(bt+c) + d
From the graph: a = -5, b = π
Assume the phase and vertical shift are zero.
c = 0 and d = 0
Plug all values in the function, the equation becomes:
d = -5cos(πt)
Thus, the equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.
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The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year, this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively. Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q
Answers
Answer
p/q = 8/6
Make p the subject
p = 8q/6........equation 1
This year the price was reduced by 4
p-4/q-4 = 7/5
Cross multiple
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Sub 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q-42q=-48
-2q=-48
q=24
Sub 24 for q in equation 1
p= 8(24)/6
p= 192/6
p= 32.....
Check the answer for confirmation.
Thanks.
The Laurier Company’s brand has a market share of 30%. Suppose that 1,000 consumers of the product are asked in a survey which brand they prefer. What is the probability that more than 32% of the respondents say they prefer the Laurier brand?
Answers
Answer:
The probability is
[tex]P(Z>1.3793 ) = 0.083901[/tex]
Step-by-step explanation:
From the question we are told that
The proportion proportion is [tex]p = 0.30[/tex]
The sample size is [tex]n = 1000[/tex]
The sample proportion [tex]\r p = 0.32[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p (1 - p)}{ n} }[/tex]
[tex]SE = \sqrt{\frac{ 0.30 (1 - 0.30 )}{ 1000} }[/tex]
[tex]SE = 0.0145[/tex]
The probability that more than 32% of the respondents say they prefer the Laurier brand is mathematically represented as
[tex]P(X > 0.32 ) = P( \frac{X - p }{ SE} > \frac{\r p - p }{ SE} )[/tex]
Here [tex]\frac{X - p }{SE} = Z (the \ standardized \ value \ of \ X)[/tex]
[tex]P(X > 0.32 ) = P(Z>1.3793 )[/tex]
From the z -table [tex]P(X > 0.32 ) = P(Z>1.3793 ) = 0.083901[/tex]
[tex]P(Z>1.3793 ) = 0.083901[/tex]
Using the normal distribution and the central limit theorem, it is found that there is a 0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
The Laurier Company’s brand has a market share of 30%, hence [tex]p = 0.3[/tex]1,000 consumers are asked, hence [tex]n = 1000[/tex].Then, the mean and the standard error are given by:
[tex]\mu = p = 0.3[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{1000}} = 0.0145[/tex]
The probability that more than 32% of the respondents say they prefer the Laurier brand is 1 subtracted by the p-value of Z when X = 0.32, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.32 - 0.3}{0.0145}[/tex]
[tex]Z = 1.38[/tex]
[tex]Z = 1.38[/tex] has a p-value of 0.9162.
1 - 0.9162 = 0.0838
0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Which Excel function will give the p-value for overall significance if a regression has 75 observations and 5 predictors and gives an F test statistic Fcalc = 3.67?
Answers
Answer:
The excel function that will gibe the p-valur for overall significance of a regression has 75 observations and 5 predictors and gives an F test statistic FCal = 3.67 is given below:
F.DIST.RT(3.67,5.69)
Please help ASAP!!! Plweaseeeeeeeeeeeeeeeeee
Answers
Answer:
A
Step-by-step explanation:
I screenshot the question.
Answers
Answer:
17 34
24 58
31 89
38 127
45 172
52 224
59 283
62 345
69 414
76 490
83 573
Step-by-step explanation:
Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)
Then at the final answer you add the results to total pushups you get 573.
There is a faster way to do this using a formula, but probably will go over your head.
Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallons per minute less than the first hose.
Answers
Answer:
B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.
Step-by-step explanation:
The question is incomplete. Find the complete question in the comment section.
For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined
rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses. On simplifying the equation;
[tex]\frac{1}{x} + \frac{1}{x-15} \geq \frac{1}{10}\\\\ find\ the \ LCM \ of \ the function \ on \ the \ LHS\\\\\frac{x-15+x}{x(x-15)} \geq \frac{1}{10}\\\\\frac{2x-15}{x(x-15)} \geq \frac{1}{10}\\\\10(2x-15)\geq x(x-15)\\\\20x-150\geq x^2-15x\\\\collect \ like \ terms\\-x^2+20x+15x - 150\geq 0\\[/tex]
[tex]-x^2+35x-150 \geq 0\\\\multipply \ through \ by \ minus\\x^2-35x+150 \leq 0\\\\(x^2-5x)-(30x+150) \leq 0\\\\x(x-5)-30(x-5) \leq 0\\\\[/tex]
[tex](x-5)(x-30) \leq 0\\\\x-5 \leq 0 and x - 30 \leq 0\\\\x \leq 5 \ and \ x \leq 30[/tex]
The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined rate of at least 10 gallons per minute for the pool to meet the company's schedule, this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.
Solve: -3= 12x - 5(2x - 7)
X = -19
19
71 =
=-11
10
11
I= 19
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]
Collect like terms
⇒[tex] \sf{ - 3 = 2x + 35}[/tex]
Swap the sides of the equation
⇒[tex] \sf{2x + 35 = - 3}[/tex]
Move 45 to right hand side and change it's sign
⇒[tex] \sf{2x = - 3 - 35}[/tex]
Calculate
⇒[tex] \sf{2x = - 38}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]
Calculate
⇒[tex] \sf{x = - 19}[/tex]
Hope I helped!
Best regards!!
Identify the slope and line intercept for y = 3x + 1
Answers
Answer:
Intercept - 1
Slope - 3
Step-by-step explanation:
in y=mx+b
m is the slope and b is the y intercept
Marlene is given 7 feet of fabric to design a dress. She uses 6 feet of fabric. How much fabric is left?
Answers
Answer:
Amount of fabric left = 1 ft
Step-by-step explanation:
Given:
Amount of fabric Marlene had = 7 ft
Amount of fabric Marlene used = 6 ft
Find:
Amount of fabric left
Computation:
Amount of fabric left = Amount of fabric Marlene had - Amount of fabric Marlene used
Amount of fabric left = 7 ft - 6 ft
Amount of fabric left = 1 ft
A student is growing two plants for a science experiment. Each plant was a different height at the start of the experiment. Plant A was given only water and plant B was given water and food. The system of equations show how the heights of the plants, y, in inches have change over x weeks. Plant A: y = 8 + ½ x Plant B: y = 4 + (5/4) x
Answers
Answer:
A: 12.5 per week B= 12.75
Step-by-step explanation:
1/2 times 7 (days in a week) is 3.5. So A is 8+3.5=12.5. 7 times 5/4 is 8.75. So B is 4+8.75=12.75
Suppose that a defined population is all men who are 50 or younger, and a survey is being conducted. Which of these is an example of selection bias? A. Excluding men over 50 from the selection process of the survey B. Including men under 30 in the selection process of the survey C. Excluding men under 30 from the selection process of the survey
Answers
Answer: C
Step-by-step explanation:
Excluding men under 30 from the selection process of the survey makes it bias because all mean 50 or younger are supposed to be included.
(c) Find the exact values of s and t.
Answers
Answer:
u have to use cos san and tan?
i think sorry if im wrong
Step-by-step explanation:
Do we ever use numbers to describe the values of a categorical variable?
Answers
Answer:
Yes
Step-by-step explanation:
Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc
A tap leaks at the rate of 2cm³ per second.How long will it take the tap to fill a container of 45litres capacity.
Answers
Answer:
6 hours 15 minutes
Step-by-step explanation:
1 litre = 1000cm³
45 litres = 45000cm³
Volume = rate × time
45000 = 2 × t
t = 22500 secs
= 375 mins
BRAINLIEST PLEASE
All time values listed above are equivalent, so you only need to pick one value to write as the answer.
======================================================
Work Shown:
1 liter = 1000 cubic cm
45 liters = 45*1000 = 45000 cubic cm
The container has a capacity of 45000 cubic cm
It will take 45000/2 = 22500 seconds to fill the container since the rate is 2 cubic cm per second.
-----------------
Convert from seconds to minutes
22500 seconds = (22500)*(1 min/60 sec)
22500 seconds = (22500/60) min
22500 seconds = 375 min
-----------------
Convert to hours
375 min = (375)*(1 hr/60 min)
375 min = (375/60) hr
375 min = 6.25 hr
----------------
Converting to hours,minutes
6.25 hr = 6 hr + 0.25 hr
6.25 hr = 6 hr + (0.25*60) min
6.25 hr = 6 hr + 15 min
6.25 hr = 6 hr, 15 min
A kayaker moves 32 meters northward, then 6 meters
southward, and finally 16 meters northward.
For this motion, what is the distance moved?
Answers
Answer:
distance moved by kayaker is 54m
The cafeteria sells each apple at one price and each banana at another price. For 5 apples and 3 bananas Dan pays $5.70. For 3 apples and 5 bananas Chris pays $4.70. The price of one apple is how much more then the price of one banana, in cents?
Answers
Answer:
50
Step-by-step explanation:
a = # of apples
b = # of bananas
5a + 3b = 570
3a + 5b = 470
Solve with substitution or elimination. To solve by elimination, multiply the first equation by 5 and the second equation by 3.
25a + 15b = 2850
9a + 15b = 1410
Subtract:
16a = 1440
a = 90
Plug into either equation to find b.
5(90) + 3b = 570
450 + 3b = 570
3b = 120
b = 40
So apples are 90 cents, and bananas are 40 cents. Therefore, apples are 50 cents more than bananas.
Which measurement is closet to the total surface area of the triangular prism in square centimeters?
Answers
Answer:
Step-by-step explanation:
mxcm w dhvhhhvhhjjjbvgvhn jnjjhvghcghyjbvcchgvukchgcgvmbmhc
25. Michelle walks into class and yells out that she just got a new Gucci bag for 50% off. If she paid $120 for
the bag, how much was the original price without the discount?
Answers
Answer:
$240
Step-by-step explanation:
50% = 0.5
$120 ÷ 0.5 = $240
The original price without the discount is $240.
Hope that helps.
A race car is traveling at a constant speed of 150 miles per hour. How many feet does it travel in 5seconds
Answers
Answer:
1100 ft
Step-by-step explanation:
1 mile per hour is equivalent to 22 ft in 15 seconds, so we can convert the speed to distance using ...
distance = speed × time
distance = (150 mi/h) (22/15 ft/s)/(1 mi/h) (5 s) = (150·22·5)/15 ft = 1100 ft
The car travels 1100 feet in 5 seconds.
solve the equation by using the quadratic formula. x^2+2x=6
Answers
Answer:
[tex]\Huge \boxed{{x=-1\pm \sqrt{7}}}[/tex]
Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Plug in the values.
[tex]\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}[/tex]
Evaluate.
[tex]\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}[/tex]
[tex]\displaystyle x=\frac{-2\pm\sqrt{28}}{2}[/tex]
[tex]\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}[/tex]
Answer: Edmentum and Plato
Step-by-step explanation:
If s(x) = x - 7 and t(x) = 4x2 – x + 3, which expression is equivalent to
to (t•s )(x)?
Answers
Answer:
(t•s )(x) = 4x^3 - 29x^2 + 10x - 21
Step-by-step explanation:
(t•s )(x) is the product of functions s and t:
(t•s )(x) = ( 4x^2 - x + 3)(x - 7). Applying the Distributive Property of Multiplication, we get:
(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21
which needs to be simplified by combining like terms:
(t•s )(x) = 4x^3 - 29x^2 + 10x - 21