Answer:
5.4 as a fraction is 27/5.
Step-by-step explanation:
Learned in 5th grade
An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
A 4-column table with 4 rows. The columns are labeled age bracket and the rows are labeled type of movie. Column 1 has entries cartoon, action, horror, comedy. Column 2 is labeled children with entries 50, 22, 2, 24. Column 3 is labeled teens with entries 10, 45, 40, 64. Column 4 is labeled adults with entries 2, 48, 19, 74.
Suppose we randomly select one of these survey participants. Let C be the event that the participant is an adult. Let D be the event that the participant prefers comedies.
Complete the statements.
P(C ∩ D) =
P(C ∪ D) =
The probability that a randomly selected participant is an adult prefers comedies is symbolized by P(C ∩ D).
Using it's concept, it is found that the probabilities are given as follows:
P(C ∩ D) = 0.185.P(C ∪ D) = 0.5775.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 400 moviegoers.
From the table, 74 are adults who prefer comedies, hence:
P(C ∩ D) = 74/400 = 0.185.
2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:
P(C ∪ D) = (143 + 88)/400 = 0.5775.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
0.3575
0.405
Step-by-step explanation:
What is the reciprocal of 64?
If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
What is the slope of the line that passes through the points (-3, 3)(−3,3) and (-21, 18) ?(−21,18)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other
(18 - 3) / (-21 + 3)
minusing a negative is basically adding
after subtracting them you get this
15 / -18
then reduce
-5/6
the slope is -5/6
what is -4(2x - 3) equal
Answer:
-8x + 12
Step-by-step explanation:
-4(2x - 3)
then -4*2x and -4*-3(an even number of negative signs multiplied equals to a positive sign)
therefore= -8x + 12
One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15 . (1 point)
quantity of x squared plus 21 over 3
quantity of x squared plus 11 over 3
quantity x plus 7 over 3
quantity of x plus 5 over 3
Answer:
(c) (x +7)/3
Step-by-step explanation:
Factor each expression and cancel common factors.
[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]
Answer:
C
Step-by-step explanation:
passed the quiz
what is the slop of the line 2x - 5y=9
The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2
Answer:
(5,2)
Step-by-step explanation:
What is the length of EF in the right triangle below?
Answer:
A.24
Step-by-step explanation:
EF=√(25)²-(7)²
EF=√625-49
EF=√576=24
a farm has chickens and cows all the cows have 4 legs and all chickens have 2 legs. altogether there are 82 cow and chicken legs on the farm.complete the table to show some possible combinations of chickens and cows to get 82 total legs.
mark me brinilylist pls
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child tickets for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price each of one senior citizen ticket ?
Senior citizen ticket: $
please help me, please and thank youuu! :D
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2 , then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
help pls !! i am confused
1.
2.
3.
4.
Three consecutive integers add up to 30. Which integers are they?
Answer:
30 31 33 are the three integer consective
For what integer value of x is f(x) = -10 if f(x) = - 4x + 2?
Answer:
x = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:
Solution:The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:
f(x) = -4x + 2
-10 = -4x + 2
Subtract 2 from both sides:
-10 - 2 = -4x + 2 - 2
-12 = -4x
Divide both sides by -4 to solve for x:
[tex]\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }[/tex]
x = 3
Hence, when x = 3, f(x) = -10.
Double-check:Substitute the value of x = 3 into the original function:
f(x) = -4x + 2
f(3) = -4(3) + 2
f(3) = -12 + 2
f(3) = -10 ⇒ f(x) = -10.
Therefore, the input value of x = 3 gives an output value of f(x) = -10.
PLS HELP TY!!
Two functions, function A and function B, are shown below:
Function A
x y
7 14
8 16
9 18
Function B The first quadrant of a coordinate grid is shown from 0 to positive 8 on both axes at intervals of 1. The title is Function B. Only the even numbers are shown on the scale. A line is drawn by connecting the points on ordered pairs 1, 3 and 2, 6 and 3, 9.
Which statement best compares the rate of change of the two functions? (1 point) The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B. The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function B is greater than the rate of change of function A
Find two numbers that round to 387.4 when rounded to the nearest tenth.
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation:
if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and for the same period is (I) ₹400 (ii) ₹398 (iii) ₹200 (iv) ₹204
Given that:
CI = ₹408
years = 2 years
Rate of interest = 4%
A = P{1+(R/100)}^
A-P = p{1+(R/100)}^n - P
I = P[1+(R/100)}^n - 1]
408 = P[{1+(4/100)²} - 1]
= P[{1+(1/25)²} - 1]
= P[(26/25)² - 1]
= P[(676/625) - 1]
= P[(676-625)/625]
408 = P(51/625)
P = 408*(625/51)
= 8*625 = 5000
Sum = 5000
Simple Interest (I) = (P*R)/100
= 5000*2*(4/100)
= 50*2*4 = 400
From the given above options, option (a) ₹400 is your correct answer.
I need to know if they are simular or not, i also need an explanation
Answer:
Step-by-step explanation:
11
Giving brainliesttttttt
Answer:
I think it is the line D as a thought
On Saturday Kendra ran 2.721 kilometers. On Sunday she ran 1.79 kilometers. How much farther did she
run on Saturday than on Sunday?
Answer:
0.9km(rounded to 1dp)
Step-by-step explanation:
2.7km on sat
1.8km on sun
2.7km-1.8km=0.9km
What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?
Answer:
30
Step-by-step explanation:
To qualify for a scholarship, a student must score at least 90% on a written test. The test is 64 questions. Using this metric, what is the greatest number a student can miss and still qualify for the scholarship?
Answer:
6 questions
Step-by-step explanation:
First, you divide the total score of 100 by the 64 questions to get 1.5625 points per question. Next, you divide the lowest score to qualify of 90 by the 1.5625 to get 57.6 questions correct to qualify. Then, you round 57.6 questions correct up to 58 questions correct because a fraction of a question correct doesn't make sense. Finally, you subtract the total number of questions (64) by the required correct answers (58) to get 6 questions you can miss to still qualify for the scholarship.
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?
Answer:
Marcus has 24 pens while Bryan has 12 pens.
Step-by-step explanation:
Let u rep 1 unit.
Marcus = 2u
Bryan = u
2u+u=36
3u=36
u=36÷3
=12
No. of pens Marcus has
= 2u
= 2×12
= 24
No. of pens Bryan has
= u
= 12
help me divide me 1/4 divided my three
Answer:
1/12
Step-by-step explanation:
1/4 divide by three= 1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Explanation: In order to divide fractions, you must follow these 3 simple steps:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal.
Step 3. Simplify the fraction (if needed).