Answer:
C. 18 months
Step-by-step explanation:
Given data
Principal= P1500
rate= 12%
Simple interest= P270
We know that
Simple interest= PRT/100
substitute
270= 1500*12*T/100
cross multiply we have
270*100= 1500*12*T
27000= 18000 T
divide both sides by 18000
T= 27000/18000
T=1.5 years
That is 12 months + 6 months
in all = 18 months
The time is C. 18 months
f ÷ 20 = 17
what is f
Answer:
340
Step-by-step explanation:
Multiply both sides by 20.
Answer:
f=340
Step-by-step explanation:
17 times 20 equals 340
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist!!
Seth is analyzing the number of students in his class and high school who own skateboards. He puts
the data in the table shown. Given the information in the table, which event is the least likely?
Answer:it is the third option
Step-by-step explanation:
I took the test (:
Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]
How to find the conditional probability?Suppose that there are two events A and B. Then suppose the conditional probability are:
P(A|B) = probability of occurrence of A given B has already occurred.P(B|A) = probability of occurrence of B given A has already occurred.We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.
We are given the following table of joint relative frequency:
[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]
We named events as A, A' and B and B' (event and their complements).
The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]
[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]
[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]
Evaluating probabilities of choices given, we get:
Case 1: E = A randomly selected student who owns a skateboard is a freshmen
P(E) = ?
P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]
Case 2: E = A randomly selected student who is a freshmen owns a skateboard:
P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]
Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen
P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]
Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen
P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]
Thus, the least probability is for the second case.
Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
Learn more about probability here:
brainly.com/question/1210781
work out the value of angle x.
and give a reason for your answer.
pls help!
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
What is the value of the expression , 10 + (2x3) 2 : 4 x (1/2)
Given:
The expression is
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
To find:
The value of the expression.
Solution:
We have,
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
It can be written as
[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]
[tex]=\dfrac{10+(6)^2}{2}[/tex]
[tex]=\dfrac{10+36}{2}[/tex]
[tex]=\dfrac{46}{2}[/tex]
[tex]=23[/tex]
Therefore, the value of the given expression is 23.
Anthony and Miguel go to the store to purchase some new DVD's. There is an advertisement displayed in the window that states they can buy 3 DVD's for $22.50 or 5 DVD's for $37.50.
Is this a proportional relationship? Explain how you know.
Answer: it is a porportional relationship
Step-by-step explanation: looked it up
Can someone help me plz and thank u
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
What is the solution to the following system of equations
Answer: x=-2
Step-by-step explanation:
y=x+1
y=-x-3
-x-3=x+1
-4=2x
x=-2
I don’t know this one either
Help me
Answer:
13,000
Step-by-step explanation:
8,613 rounded is 9,000
3,885 rounded is 4,000
so 9,000 + 4,000 = 13,000
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answer:
34 degrees
Step-by-step explanation:
Write in point slope form an equation of the line that passes through the given point and has the slope. (-2, 9) and m = 5
Answer:
The point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
Step-by-step explanation:
Given
Slope m = 5
Point (-2, 9)
Point slope form of an equation of a line:
Point slope form of an equation of a line is defined as
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case,
m = 5(x₁, y₁) = (-2, 9)substituting the values m = 5 and the point (x₁, y₁) = (-2, 9) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = 5 (x - (-2)[/tex]
[tex]y-9 = 5(x+2)[/tex]
Therefore, the point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
Please help! And 20 points! :3
1. 5% of Shawn's monthly earnings is budgeted for entertainment. If he spends $136 per month on entertainment, What are his total earnings?
2. A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points? ( Round to the nearest whole number)
3. A pitcher can hold 3,000 milliliters of tea. How many liters of tea are in the pitcher?
Answer:
1. 2720
2. 87.76
3. 3
Step-by-step explanation:
1.
x * 0.05 = 136
136/0.05 = 2720
2.
86/x = 0.98
86/0.98 = 87.76
3.
1 liter = 1000 mililiter
3000 mililiter = 3 liter
3
Write a ratio and a percent for the shaded area.
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??
Answer:
1/3, 33.33%
Step-by-step explanation:
The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.
Answer:
1/3 and 33.33℅
Step-by-step explanation:
total number of rectangles is 36 and the shaded are 12
so 12/36 =1/3
1/3= 0.3333
to change to percent we multiply by 100
0.3333×100℅ = 33.33℅
Chris is tiling the bathroom floor. For a tile to fit in the corner of the room, he must cut it as shown below.
If x = 3, y = 12, and z = 9, what is the area of the tile being used?
A.
54 sq ft
B.
108 sq ft
C.
58.5 sq ft
D.
81 sq ft
Answer:
D. 81 sq. ft.
Step-by-step explanation:
We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.
I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.
The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.
The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.
A = (9 * 6)/2
A = 54/2
A = 27 sq. ft.
Now, subtract 27 from 108 to get the area of the shaded part.
108 - 27
81 sq. ft.
The area of the tile being used is 81 sq. ft.
Order the expressions based on their values. Place the expression with the greatest value on top.
MARK AS BRILLIANT! HELP
How many combinations are possible for 13 objects taken 6 at a time?
1,716
205,920
1,235,520
4,826,809
Please help me with the explanation too. :)
Answer:
1,235,520
Step-by-step explanation:
13P6 =1,235,520
PLEASE HELP, WILL MARK YOUR ANSWER
Answer:
Your answer is B
Oh and have a nice day and stay safe!
- all love from jen <3
Answer:
The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]
Step-by-step explanation:
Can someone help me with these pleaseeeee
Answer:
Okay sure
1. 8a-22
2. 5v+7
3. 17c+1
4. 15x-8y
Step-by-step explanation:
You just have to combine them together.
What is the length of AB?
B
3x
14x-2
63
A
630
C
O A. 6
O B. 2
O C. 8
O D. 4
Answer:
A) 6
Step-by-step explanation:
since angle a = angle c
thus,BC=BA
4x -2= 3x
4x-3x =2
x=2
AB =3x
AB = 3•2
AB=6
A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same dog to run the 21 mile state fair race? Use ratio reasoning to solve. * 1 point
Answer:
The dog will run the 21-mile race in 4.04 hours
Step-by-step explanation:
The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.
To do this, we can set up a simple relationship:
If he ran 10.5 miles in 2 hours,
He will run x miles in 1 hour
Cross multiplying, we have
x = (10.5 X 1)/2 = 5.25 miles in 1 hour.
We can now comfortably say that he runs at the rate of 5.2miles/hr
He now goes to the state fair race, which is 21 miles long.
if he runs at the rate of 5.2 miles in 1 hour,
He will run 21 miles in y hours
y = 21 / 5.2 = 4.04 hours
The dog will run the 21-mile race in 4.04 hours
Isabella is deciding between two parking garages. Garage A charges an initial fee of
$4 to park plus $3 per hour. Garage B charges an initial fee of $12 to park plus $2 per
hour. Let A represent the amount Garage A would charge if Isabella parks for t
hours, and let B represent the amount Garage B would charge if Isabella parks for t
hours. Write an equation for each situation, in terms oft, and determine the hours
parked, t, that would make the cost of each garage the same.
Answer:
i. A = 4 + 3t .......... 1
B = 12 + 2t .......... 2
ii. The hours required would be 8 hours.
Step-by-step explanation:
The charges at each of the garages can be expressed as;
i. For garage A,
A = 4 + 3t .......... 1
ii. For garage B,
B = 12 + 2t .......... 2
where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.
To determine the number of hours parked that would make the cost of each garage the same.
Let:
equation 1 = equation 2
4 + 3t = 12 + 2t
collect like terms
3t - 2t = 12 - 4
t = 8
The hours that would make the cost of each garage the same is 8 hours.
plz plz answer-------------------
Answer:
1.55
Step-by-step explanation:
Answer:
1 11/20
Step-by-step explanation:
Sorry I don't have time to explain! Hope this helps and have a good day ^^
where is the blue dot on the number line?
Answer:
The blue dot is on -3.1
Step-by-step explanation:
Answer: The blue dot is -3.21
write 25x10 to the power of. 4
Answer:
250000
Step-by-step explanation:
25 x 10 x 10 x 10 x 10
= 250000
(or just add the amount of 0s based on the power)
Taylor kept track of the number of hours that he spent at the media center each week for several weeks. He spent 8, 2, 5, 10, and 5 hours.
Given that D( x ) = 2 x , select all of the following that are true statements.
D( x ) is a direct variation.
D( x ) is a function.
D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).
x is the dependent variable.
D(6) = 3
Answer:
3rd
Step-by-step explanation:
Answer:
D(x) is a function. TRUE. It is a function of x.
x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.
D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.
D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.
D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.
Step-by-step explanation:
Find the inverse f(x) = 4 – 9x
Answer:
[tex]-\frac{x-4}{9}[/tex]
Step-by-step explanation:
Replace x with f(x)
solve for f(x)
Hiii I need help guysss tyyy and also need to plot points TYSM
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
Guina made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guina use to find the length of side B?
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Answer:
Proportion: 1/3=3/x
Step-by-step explanation:
The "1/3" proportion is telling us how the scale measurement relates to the real measurement.
The "3/x" describes the length of side B.
Now it is easy to figure out the answer! :D
Hope it helped!
Answer:
c
Step-by-step explanation:
i took the test mark brainlest if right
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm,
3 cm
16 cm
Please help! Thank you!