The Venn diagram below shows the 9 students in Mr. Perez's class
The diagram shows the memberships for the Computer Club and the Spanish
Note that "Ivan's outside the circles since he is not a member of either club.
One student from the class is randomly selected
Let A denote the event the student is in the Computer Club.
Let B denote the event the student is in the Spanish Club. (a) Find the probabilities of the events below. Write each answer as a single fraction.
A rectangular prism is 4 cm long, 3 cm wide and 8 cm tall. What is the volume of the prism?
Answer:
96 cm³
Step-by-step explanation:
v = 4 x 3 x 8 = 96 cm³
Answer:
The volume of the prism is 96cm^3
Step-by-step explanation:
You multpily 4*3*8=96
Please someone help! Will give brainiest! Struggling to understand!
Answer:
Part AInitial population = x, Population after 5 years = 3542Decrease rate = 8.4%Required formula:
x*(1 - 0.084)^5 = 3542x*0.6448 = 3542x = 3542/0.6448x = 5493Part BThe equation is:
E(t) = 5493*0.916^t, where E(t)- population of elk after t years Part C3000 = 5493*0.916^t0.916^t = 3000/54930.916^t = 0.5461log 0.916^t = log 0.5461t = log 0.5461 / log 0.916t = 6.9 years (rounded)If∠=2−25&∠=95−,find.
Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°.
At a Marine Corps military base there is a barbershop where the actual output from each chair is 12 haircuts per hour. It operates with an efficiency of 85%. If the base needs to have 650 haircuts a day how many barber chairs should there be if the barber shop is open 10 hours per day
Answer:
Barbers= 5.41= 6 barbers
Step-by-step explanation:
Giving the following formula:
Haircuts per hour= 12
Number of hours= 10
Haircuts needed= 650
First, we need to calculate the number of haircuts each barber can make per day:
Haircuts per barber a day= 12*10= 120 haircuts
Now, the number of barbers needed:
Barbers= total haircuts / haircuts per day
Barbers= 650/120
Barbers= 5.41= 6 barbers
middle school math problem
Answer:
part b is 32
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answer:
correct point b would be the right answer
Answer:
Point B is Ur answer.
Donna, Austin, and goran have a total of $84 in their wallets. Donna had $6 less than goran. Austin has 3 times what goran has. How much does each have?
Answer: Goran = 18, Donna = 12, Austin = 54
Step-by-step explanation:
x + x - 6 + 3x = 84
5x - 6 = 84
5x = 90
x = 18
Hope this helps!
Determine which of the two acute angles has a sine of 5/11 (click photo)
Answer:
A
Step-by-step explanation:
sin: [tex]\frac{opposite}{hypotenuse}[/tex]
sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]
For triangle ABC, sin(A) = 5/11
What is acute angle?"If the angle measure less than 90° then it is an acute angle."
What is sine theta?For a right triangle,
sin(theta) = opposite side/hypotenuse
where theta is an acute angle.
For given example,
we have been given a right triangle ΔABC
Since ∠B = 90°, ∠A and ∠C must be an acute angles.
⇒ sin(A) = BC/AC
⇒ sin(A) = 5/11
and sin (C) = AB/AC
⇒ sin(C) = (4√6)/11
Therefore, sin(A) = 5/11
Learn more about sine of angle here:
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i really need help on this please
Answer:
(1,5)
Step-by-step explanation
Subtract one equation to get rid of 5x. You will get -2y-6y=-5-35. y=5. Plug in y and find x. The answer is x=1, y=5.
Please take your time.
Answer:
4
Step-by-step explanation:
12+8 = 20
20/5 = 4
PLEASE HELP
The weight of a soccer ball is normally distributed with a mean of 0.43 kg and a standard deviation of 0.01 kg. Suppose 800 different soccer balls are in a warehouse. About how many soccer balls weigh more than 0.45 kg?
A. 12
B. 20
C. 24
D. 40
Answer:
Answer is b) 20.
Step-by-step explanation:
Mean is 0.43 kg.
0.43+0.1+0.1= 0.45
0.45 is two standard deviation above.
All that are below mean is 50%,
Two standard deviation above is 95%/2=47.5%
50%+47.5% =97.7% are balls that are less than 0.45 kg.
100%-97.7%=2.5% balls that are more than 0.45 kg
2.3%=0.025
800*0.025 = 20 soccer balls weigh more than 0.45 kg
j is 14 less than 2 solve for j
Answer:
-12
Step-by-step explanation:
J = 2-14
J = -12
Answer:
-12is the answer
Step-by-step explanation:
j=2-14
j= -12
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer: 8 inches squared
Step-by-step explanation:
volume formula for cube: side length^3 (in this case it would be 2^3)
2^3 = 2 x 2 x 2 = 8
How would i be able to prove that LMNQ is a square
Answer:
B
Step-by-step explanation:
Two high schools have a similar number of students and parking lots of similar size. The safety officers at both schools want to investigate whether there is an average difference in the number of cars parked per day in the student parking lots for the school year. A random sample of 15 school days will be selected. For each selected day, the number of cars parked in the student parking lots will be counted at both schools and the difference will be recorded. Assuming all conditions for inference are met, which of the following is the appropriate test for the investigation?
a. A two-sample 2-test for a difference between proportions
b. A two-sample t-test for a difference between means
c. A matched-pairs t-test for a mean difference
d. A chi-square test of homogeneity
e. A chi-square test of independence
Answer: c. . A matched-pairs t-test for a mean difference
Step-by-step explanation:
Based on the information given in the question and assuming all conditions for inference are met, the appropriate test for the investigation will be a matched-pairs t-test for a mean difference.
Since a matched-pairs t-test can be used to determine if a significant mean difference exist between two paired data, then this will be appropriate in this case since the safety officers at both schools want to know if there's an average difference in the number of cars parked per day in the student parking lots for the school year.
The appropriate test for the investigation of the given case is done by: Option C: A matched-pairs t-test for a mean difference
When to use the matched pair t test and when to use the t test?When there has to be done comparison between means of two sets of paired data, then we use matched pair t test.
For the given case the investigation is to know whether there is an average difference in the number of cars parked per day in the student parking lots for the school year for both the schools in consideration.
So there are two data sets and comparison of their mean is to be done.
Thus, the appropriate test for the investigation of the given case is done by: Option C: A matched pairs t-test for a mean difference.
Learn more about matched pair t-test here:
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the manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 350 dollars per month. a merket survey suggests thet, on average, one additional unit will remaon vacant for each 5 dollars increase in rent. similarly, one addiotional unit will be occupied for each 5 dollar decrese in rent. what is the monthly revenue function for the manager
Answer:
Rent = $230 maximizes revenue
Step-by-step explanation: I just know ;)
helppp i’ll give brainlest
Answer:
16square ft
Step-by-step explanation:
2x2+2x3x1/2x4=16 square ft
Area of base: 2x2
Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3
Your favorite cousin bought a brand new couch during the holidays and decided to finance the purchase $2,800. She signed a contract for a 2 year loan, which compounds daily at 24.9%. What is the monthly payment that she can expect to make? (Select the closest number)
Answer:
56 dollars
Step-by-step explanation:
A boat is 170 inches long. A truck is 80% longer than the truck.How long is the truck?
250 inches
213 inches
306 inches
136 inches
15 points <33
Answer:
306 inches
Step-by-step explanation:
80% = 0.8
170 inches × 80% = 170 × 0.8 = 136
The truck is 80% longer than the boat. 80% of the boat is 136.
So, the boat is 170 inches + 136 inches = 306 inches.
Answer:
C) 136 inches.
Step-by-step explanation:
To find this just do the equation:
170 x 0.8 = ?
This equation tells use how much 80% of 170 is. Also, before doing an equation like this, change the percentage into a decimal like 80% to 0.8.
So,
170 x 0.8 = 136
170 + 136 = 306
So the boat is 306 inches.
Solve the proportion.
4
y
=
7
?
y =
Answer:
y=28/5
Step-by-step explanation:
Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.
What I mean is: 4*7=5*y
so,
28=5y
y=28/5
17. Oranges cost 25 cents for 1/2 kilogram. How much would 8 kilograms of ornages cost? Show all of your work. Make sure to include your answer, proof, and evidence. PLZ NEED ASAP
9514 1404 393
Answer:
$4.00
Step-by-step explanation:
We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...
p/8 = 0.25/(1/2)
p = 8(0.50) = 4.00 . . . . multiply by 8, simplify
8 kg of oranges would cost $4.00.
Which one doesn't belong?
4(x+3)=9
4+3x=9
4*x+12=9
9=12+4x
A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?
HELP THIS IS DUE SOON
Solve the linear equation determine whether it’s one solution or infinite or no solution
2(3+2x) = 10
Answer:
One solution, x=1
Step-by-step explanation:
isolate the variable
Answer:
one solution x=1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
4x=4
x=1
<3
Find the conjugate and product of the following surds
2i + 9
Answer:
The conjugate of 2i + 9 = -2i + 9
Product of (2i+9) and (2i+9) is 36i + 77
Step-by-step explanation:
Given - 2i + 9
To find - Find the conjugate and product of the following surds
Proof -
We know that,
The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.
To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).
So,
The conjugate of 2i + 9 = -2i + 9
Now,
Product of surd (2i+9) is
(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)
= 4i² + 18i + 18i + 81
= -4 + 36i + 81 { because i² = -1 }
= 77 + 36i
⇒Product of (2i+9) and (2i+9) is 36i + 77
Explain how to evaluate 3 to the fourth power
Answer:
3 to the fourth power would basically mean 3 x 3 x 3 x 3
Step-by-step explanation:
Alot of people get this confused with 3 x 4 but when multuply to the power of four its 3 x 3 x 3 x 3 which is 81
Brainliest?
Find a.
Round to the nearest tenth:
27 cm
1020
280
a
a = [ ? ]cm
Step-by-step explanation:
I got 56.25 my bad if it's wrong tho
PLEASE HELPPP ILL GIVE BRAINLYIST IF SOMEONE HELPS!
Answer:
7
Step-by-step explanation:
area of parallelogram = l* h
91 = 13 * h
91/13 = h = 7 cm
Answer:
I believe it is 7
Step-by-step explanation:
area is length times width, so if you do opposite equations, and divide 91 by 13, that will be your answer. 7.
Completed Attempt 1
2
x
4
6
9
10
This net will be folded to form a prism.
C.
A
B.
С
D
E
F
Which pairs of faces will be opposite one another when the prism is created? Check all that apply.
D and F
A and C
A and B
Answer:
A & C
B & E
D & F
Step-by-step explanation:
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