Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]
a spiner has 5 equal sized sections with different colors. you spin the spinner 50 times what is th theoretical and experimental probability of spinning blue
Answer:
10%
Step-by-step explanation:
you would do 50/5 because all the sections are even so you would get 10%.
A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Answer:
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Visited Busch Gardens.
Event B: Visited Sea World.
The probability of visiting Busch Gardens is 40%
This means that [tex]P(A) = 0.4[/tex]
The probability of visiting Sea World given that they visited Busch Gardens is 60%
60% of 40%, which means that:
[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]
The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.
This means that [tex]P(A \cup B) = 0.7[/tex]
Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
This is P(B).
These probabilities are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values
[tex]0.7 = 0.4 + P(B) - 0.24[/tex]
[tex]0.16 + P(B) = 0.7[/tex]
[tex]P(B) = 0.54[/tex]
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Caleb got $60 for his birthday and put it in his savings account. After he deposited the money, he has $139. How much money was in Caleb's account before the deposited the money?
Part A: Write an equation to represent the problem.
Part B: Solve to find the solution. Show your work and/or explain your reasoning.
what is the graph of the system? y < -2
Answer: The answer is -2 it's just going to stay as -2 because y has no value.
Answer: this is the graph i wish that could help :)
PLEASE HELP I GIVE BRAINLIEST
Answer: 777654
Step-by-step explanation:
lol
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches
Answer:
800 cubic inches
Step-by-step explanation:
We will use the formula= V=lwh or Volume= length times width times height
so, Volume=5inches times 8 inches times 20 inches
so, volume= 5 times 8 times 20
=40 times 20
=800 cubic inches
Please mark me as a brainliestAnswer:
800
Step-by-step explanation:
Given 2x⁵-6x³-4x²-2x+4 =0 solve for x
Answer:
Step-by-step explanation:
The third and fourth grade teachers are planning a trip for their classes to the zoo. There are 173 third graders and 124 fourth graders. Each seat on the buses fits 3 students. Which expression represents the closest estimate of the number of seats on the buses that are needed for the students?
Answer:
173 - 124 = then do thatb divided by each seat 2
Step-by-step explanation:
Two cabs leave the cab station. Cab A completes its route in 36 minutes and Cab B completes its route in 45 minutes. If both cabs return to the station after their routes, how many minutes will pass before the two cabs meet at the station?
Answer:
81 min I think
Step-by-step explanation:
According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.
Answer:
C. [tex] Cos(28) = \frac{15}{17} [/tex]
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values
[tex] Cos(28) = \frac{15}{17} [/tex]
Hi please help me.. will give brainlest
Answer:
Volume = l*w*h
Equation: 1620 = 9*9*h
1620=81h
h=20 cm
I require assistance of this baffling mathematical equation that exceeds my limits
Answer:
C.
Step-by-step explanation:
To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.
Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.
[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]
[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}
There are no like terms to collect, but we can arrange the product in descending order of the power of q.
[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]
Answer: C.
-3m -4>8
How do I solve this equation?
Answer:
m < -4
Step-by-step explanation:
-3m - 4 > 8
add four to each side
-3m > 12
divide each side by -3 (since you are dividing by a negative the sign changes from > to <)
m < -4
Answer:
m<-4
Step-by-step explanation:
1. -3m-4>8
2. -3m>12 (add four to both sides)
3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)
Branliest to correct answer please explain how you got your answer :)
Answer:
2.12%
Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add
Answer:
1.56%
Step-by-step explanation:
there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%
13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%
A fair spinner has 10 equal sections: 4 red, 3 blue and 3 green.
It is spun twice.
What is the probability of getting the same colour twice?
Answer:
4 divided by 10 is 40% 3 divided by 10 is 30 percent
Step-by-step explanation:
for red there would be 40 percent probability and green and blue both have 30% probability.
I need help please ????! Anyone wanna help me
Answer:
the inverse operation for addition is subtraction
What is the solution to the equation x/3 +5=8
Answer:
x=9
Step-by-step explanation:
x/3+5=8
x/3=8-5
x/3=3
(x/3)*3=3*3
x=9
double check
9/3+5=8
3+5=8
8=8
Answer:
x=9
Step-by-step explanation:
[tex]\frac{x}{3}+5=8\\[/tex]
[tex]\frac{x}{3}=3[/tex] subtract 3 from each side
[tex]x=9[/tex] multiply each side by 3
thats it!! :D
I need help look in screenshot plzz
Answer:
45
Step-by-step explanation:
3 to the power of 2=9
and 9x5 =45
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
(9³×m)3
Step-by-step explanation:
Hope it helps you
Please answer quick and just write explanation quick pls hurry quick for brainlessly uu
Answer:
35 (C)
Step-by-step explanation:
Answer:
B) 30
Step-by-step explanation:
This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.
3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10
Answer:
1543/100 is the answer
what is the percent increase
from 3.49 to 3.89
Posted this 4 times nobody knows?
Answer:
D. f(x) = 2^x
Step-by-step explanation:
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
The base is always 2. The exponent changes and is x.
Answer: D. f(x) = 2^x
A store baked 1,344 bagels and placed them into bags to sell. Each bag contained 6 bagels.How many bags of bagels were made? Explain the strategy you used to solve this problem.
Please give me an right answer and explain pleaseeee!!! And set up and equation before solving !
The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?
Answer:
The two numbers are 6 and 10.
Step-by-step explanation:
First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :
x - y = 4
3x + y = 36
Next, you have to solve the simultaneous equations :
x - y = 4 ---------- (1)
3x + y = 36 ------- (2)
(2) + (1)
3x + y + x - y = 36 + 4
4x = 40
x = 10
Substitute x = 10 into (2)
3(10) + y = 36
30 + y = 36
y = 36 - 30
y = 6
Solve for x
This is also an octagon if it helps!
Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
If you rearrange the side lengths of a triangle, how many different triangles can you make?
Answer:
3
Step-by-step explanation:
ABC
Acb
Bac
Bca
Cab
Cba
This looks like 6 but if you look close, 3 are duplicates
a^2 - 2ab^2 if a = 9 and b = 3
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
Parallelogram ABCD is shown on the coordinate grid. Which
coordinates belong to a point that appears to lie on segment AB?
Answer:
[tex](-1, 3)[/tex]
Step-by-step explanation:
Given
See attachment for ABCD
Options:
[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]
From the attachment:
[tex]A = (-6,1)[/tex]
[tex]B = (4,5)[/tex]
Required
Coordinates on AB
First, calculate the slope of AB
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{4--6}[/tex]
[tex]m = \frac{4}{10}[/tex]
[tex]m = 0.4[/tex]
Next,, calculate the equation as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.4(x - -6) + 1[/tex]
[tex]y = 0.4(x +6) + 1[/tex]
[tex]y = 0.4x +2.4 + 1[/tex]
[tex]y = 0.4x +3.4[/tex]
Taking the options one at a time: (-1, 3)
[tex]x = -1\ \ y =3[/tex]
Test these values in the equation
[tex]y = 0.4 * -1 + 3.4[/tex]
[tex]y = -0.4 + 3.4[/tex]
[tex]y =3[/tex]
Hence, this point lie on AB