Answer:
A) 20%.
B) 26.66%.
C) 40%.
Step-by-step explanation:
Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:
A)
60 = 100
12 = X
12 x 100/60 = X
1200/60 = X
20 = X
Therefore, the probability that the next person favors rock music is 20%.
B)
60 = 100
16 = X
16 x 100/60 = X
1600/60 = X
26.66 = X
Therefore, the probability that the next person favors country music is 26.66%.
C)
60 = 100
24 = X
24 x 100 / 60 = X
2400 / 60 = X
40 = X
Therefore, the probability that the next person favors another type of music is 40%.
Evaluate 79-4*6+12/3
Answer:
59 (the answer should have a positive sign.)Step-by-step explanation:
To solve this problem, you have to solve with order of operations.
Order of operations stands for:
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
Do multiply.
79-4*6+12/3
4*6=24
Rewrite the problem down.
79-24+12/3
Divide.
12/3=4
79-24+4
Add and subtract.
79-24=55
55+4
55+4=59
[tex]\sf\boxed{59}[/tex]
As a result, the final answer is 59.
special triangles 45-45-90
9514 1404 393
Answer:
x = y = (√10)/2
Step-by-step explanation:
In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.
x = y = (√5)(√2)/2
x = y = (√10)/2
Answer:
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
For which color is the difference between the theorectical probability and experimental probability greatest?
A.
Brown; The experimental probability is 19.52%, and the theoretical probability is 25%.
B.
Orange; The experimental probability is 18.9%, and the theoretical probability is 15%.
C.
Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%.
D.
Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer:
The answer is D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
11r + 7s written form plz i need help
Answer:
eleven r plus seven s
Step-by-step explanation:
thats the written form
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
10x+2y=64
3x - 4y = -36
O A. (4, 12)
B. (2,10)
o
C. (-5,8)
O D. (-3, 11)
9514 1404 393
Answer:
A. (4, 12)
Step-by-step explanation:
Adding the second equation to twice the first will eliminate y.
2(10x +2y) +(3x -4y) = 2(64) +(-36)
23x = 92 . . . . . . . . simplify
x = 4 . . . . . . . . . divide by 23
This value matches choice A: (4, 12).
Sabrina read a total of 185 pages in three days.
On the first day, she read 85 pages
· On the second and third days, she read the same
How many pages did she read on the third day?
Answer:
Sabrina read 50 pages on the third day.
Step-by-step explanation:
Since Sabrina read a total of 185 pages in three days, and on the first day, she read 85 pages, while on the second and third days, she read the same amount, to determine how many pages did she read on the third day the following calculation must be performed:
(185 - 85) / 2 = X
100/2 = X
50 = X
Therefore, Sabrina read 50 pages on the third day.
Please solve for all three parts of the question.
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
What is the first error Zoe made in her proof?
a. Zoe used an invalid reason to justify the congruence of a pair of sides or angles
b. Zoe only established some of the necessary conditions for a congruence criterion.
c. Zoe established all necessary conditions, but then used an inappropriate congruence criterion.
d. Zoe used a criterion that does not guarantee congruence
iui
Answer:
a
Step-by-step explanation:
To prove congruence
1 ∠ A ≅ ∠ C → given
2 ∠ DEA ≅ ∠ BEC → vertically opposite angles
3. AE ≅ EC → given
We then have 2 angles and the included side ( side between the 2 angles )
congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )
Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given
Zoe used an invalid reason to justify the congruence of a pair of sides or angles.
Option a is correct.
From given diagram it is observed that,
Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.
[tex]\angle A=\angle C[/tex]
When two lines intersect at any point then vertically opposite angles are equal.
So that, [tex]\angle DEA=\angle BEC[/tex]
Given that , [tex]AE=EC[/tex]
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Hence, both triangles are congruent to each other.
Learn more:
https://brainly.com/question/25920974
A standard number cube, labeled numbers 1-6 on each side, is rolled three times. Mary says the chance of rolling a 2 all three times is 1/8. But John disagrees and says the probability for rolling a 2 all three times is 1/216. Who calculated the correct probability or rolling a 2 the three times the n number cube is rolled? Show work to justify your reasoning.
Answer: john answer it correctly
Step-by-step explanation:
6.6.6_=216
Find the value of x and the measure of the angle labeled 3X°. 27° O A. x = 15; angle measure is 45°. OB. X = 9; angle measure is 27º. O c. x = 15; angle measure is 27°. D. X = 9; angle measure is 45°
Answer:
B. x=9, angle measure is 27 .
Step-by-step explanation:
sol :-
72 - 45 = 27
or 3x and 27° are the vertically opposite angles.
so :-
3x = 27
then : x = 27÷3
X= 9
This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
longer side of the field?
7 in.
5 in.
50 ft
10 ft
70 ft
Answer:7ft
Step-by-step explanation:
i got it right
Under her cell phone plan, Savannah pays a flat cost of $37.50 per month and $3 per
gigabyte. She wants to keep her bill at $51.90 per month. Which equation or tape
diagram could be used to represent the context if g represents the number of
gigabytes of data Savannah can use while staying within her budget?
Answer:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Savannah will be able to use 4 gigabytes to stay within her budget.
Step-by-step explanation:
Given that under her cell phone plan, Savannah pays a flat cost of $ 37.50 per month and $ 3 per gigabyte, and she wants to keep her bill at $ 51.90 per month, to determine which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data Savannah can use while staying within her budget, the following calculation should be performed:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Therefore, Savannah will be able to use 4 gigabytes to stay within her budget.
In the data set below, what are the lower quartile, the median, and the upper quartile. 13, 16, 16, 17, 51, 57, 62, 72, 92, 97
Answer:
I'm rusty on this but I believe:
the median is 54
the lower quartile = 16
the upper quartile is 72
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
Which one of the following is an equation?
O 3m + 2
3m
2
3m +2 = 11
Answer:
3m+2=11
Step-by-step explanation:
Because equation is joined with equal sign
Find the decimal number halfway between the following decimal number 0.7 and 0.5
Answer:
0.6?
Step-by-step explanation:
confused by the question but thats the middle decimal..
Please help on both questions. I would appreciate it.
Answer:
first one is 4.5 second one is 45
Step-by-step explanation:
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.
Someone plsssssssssssssssssssssssssssssssssssssssssss help (Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month. How many dogs does she walk in the third month?)
Please Help!!
No links or I’ll report you!
A. 11
B. 13
C. 8
D. 7
Answer:
The answer is 13.
Step-by-step explanation:
Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9. So you input all values into the expression until you get the product of 9.
Work: 2(13)-17=9, so 13 is your answer.
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people attended the game and $866 was collected. How many students and how many adults attended the game?
Answer:
Adults =58, Students=92
Step-by-step explanation:
Donut $2.50
Cupcake $4.25
Ice cream $3.80
I need help finding the equation
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $28, what is the company's expected value of each warranty sold?
Answer:
The expected gain per warranty is $27.65, crazy stuff
Step-by-step explanation:
If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).
This brings us to cost for the company equal to 0.1%*$350 per warranty sold.
0.1%*$350 = 0.001*$350 = $0.35
And the company gets $28 for each warranty sold, hence they earn
$28 - $0.35 = $27.65
on average.
Solve for x: 3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
x= -a2(the 2 means squared)/1-3a+a2
Step-by-step explanation:
I rll hope this helps
Answer:
x= a^2
----------------
1 - 3a + a^2
Step-by-step explanation:
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
- Yesterday Billy earned $30 trimming
hedges for Mrs. Gant. Today he will earn
$10 an hour for weeding her garden. If
he weeds her garden for 8 hours, how
much in all will he earn working for
Mrs. Gant?