15
Select the correct answer.
If A and B are dependent events, which of these conditions must be true?
O A.
P(A and B) = P(A) + P(B)
OB.
P(A and B)
P(A)
P(B)
Oc.
P(B|A) = P(B)
D.
P(AB) = P(A)
O E
P(BA) + P(B)
Reset
Next
Answers
Answer:
P(B|A) = P(B)
Step-by-step explanation:
For dependent events the outcome of first event affects the outcome of the second event.
If B is a dependent event on A, then the conditional probability of B is given by P(B|A).
P(B|A) = P(B)
Hence, the correct option is (c).
Related Questions
find the smallest number by which 2925 should be divided to be a perfect square
Answers
Answer: 13
Step-by-step explanation:
Given
The number is 2925
The prime factorization of 2925 is
[tex]\Rightarrow 2925=3\times 3\times 5\times 5\times 13\\\Rightarrow 2925=3^2\times 5^2\times 13[/tex]
To make 2925 a perfect square, we have to eliminate 13 from it, so divide 2925 by 13 to make it a perfect square
The perfect Sqaure becomes [tex](3\times 5)^2=225[/tex]
A factory that makes granola bars uses 1/6 of a barrel of raisins in each batch.
Yesterday, the factory used 5/6 of a barrel of raisins. How many batches did the
factory make yesterday?
Answers
Answer:
5
Step-by-step explanation:
(5/6) / (1/6) = 5
Answer:
5 batches
Step-by-step explanation:
Divide yesterday's batches by the usual.
(5/6)/(1/6) = 5
Since it only takes 1/6 to make a batch and they used 5x that we know they made 5 batches.
Which sentence describes a way to determine the missing number number in the pattern?
Answers
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
A construction crew is lengthening a road that originally measured 47 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Write an equation relating L to D. Then use this equation to find the length of the road after 31 days.
Answers
Answer:
78 miles
Step-by-step explanation:
Given that:
Original length, L = 47 miles
Additional length (miles) added per day, = 1 mile
Representing as an equation :
L(D) = original length + additional length per day * number of days
Let, D = number of days
L(D) = 47 + D
Length after 31 days :
L(31) = 47 + 31
= 78 miles
Two trucks leave a warehouse at the same time. One travels due north at an average speed of 53 miles per hour, and the other travels due south at an average speed of 49 miles per hour. After how many hours will the two trucks be 459 miles apart?
Answers
Answer:
4.5 hours.
= 4 hours and 30 minutes.
Step-by-step explanation:
Distance = Rate x Time
in this case, D = 459 miles
because each driver will drive for the same length of time, we can use their average rate
so, D = average rate x Time
459 miles = (53mph + 49mph)/2 x Time
459 miles / 51mph = 9 hours
Since the total time is 9 hours, each driver will drive for 4 hours 30mins.
Proof: 53mph x 4.5h + 49mph x 4.5h
= 238.5m + 220.5m = 459 miles
what is the next numbers in the sequence 0, 5, 20, -, -,-
Answers
Answer:
51, 104, and the next number of series is 185
Step-by-step explanation:
I hope this will help u
Answer:
the next number in the sequence should be 45
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
B
Step-by-step explanation:
LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2
What is the relation between the variables in the equation
X^4/y=7?
a. x varies inversely as y
b. x4 varies directly as y
c. y varies directly as x4
d. y varies inversely as x4
Answers
Answer:
b. x^4 varies directly as y.
Step-by-step explanation:
x^4 = 7×y
x^4 is proportional to y.
What is the next term of this sequence? -5,5,-6,6,-7,7,-8,..
Answers
Answer:
8,-9,9
Step-by-step explanation:
two thirds of a number is negative six. find the number
Answers
Answer:
-9
Step-by-step explanation:
Two-thirds of a number is negative six. The number is -9. Let the number is x, 2/3x =-6, x=-6x3/2=-9.
Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a mean velocity of 6 ft/s. For water: rho = 1.94 slug/ft3 and μ = 2.09x10-5 slug/ft-s (ν = μ/rho). Assume ε = 0.0004 ft.
Answers
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:
[tex]h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft[/tex]
The pressure drop (Δp) is:
Δp = ρg[tex]h_f[/tex] = [tex](62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2[/tex]
Identify the location of the point (-3, -2).
A. P
B. Q
C. R
D. S
Answers
Answer:
You haven't given a picture of the graph dear.
The point (-3,-2) lies in the third quadrant.
A metal can in the shape of a right circular cylinder needs to hold a volume of V cm3 . Throughout this problem V > 0 is a parameter that needs to be left as V . Suppose that the metal for the sides costs 5 cents per square cen- timeter to manufacture, whereas the top and bottom cost 10 cents per square centimeter to manufacture. Find the shape of the least expen- sive can. What is the cost of the least expensive can
Answers
Answer:
C(min) = 0.5*V + √V/1.256 $
Step-by-step explanation:
The volume of a circular cylinder is: V(c) = π*r²*h where r is the radius of the circumference of the base and h is the height
The cost of the can is = the cost of (base and top) + lateral cost
Base surface = top surface = π*r²
Then cost of ( base + top ) is = (2* π*r² )*0,1
Lateral surface is = 2*π*r*h
Then cost of lateral surface is: (2*π*r*h)*0,5
Total cost C(t) = (2* π*r² )*0,1 + (2*π*r*h)*0,5
V = π*r²*h
Total cost as a function of (V >0 a parameter) and r then
h = V / π*r²
C(V,r) = (2* π*r² )*0,1 + π*r*(V / π*r²)
C(V,r) = 0.2*π*r² + V*/r
Taking derivatives on both sides of the equation we get:
C´(V,r) = 2*0.2*π*r - V/r²
C´(V,r) = 0 0.4*π*r - V/r = 0
Solving for r
0.4*π*r² - V = 0 ⇒ 1.256*r² = V r = √ V/ 1.256 cm
and h = V /π * (√ V/ 1.256)²
h = 1/ 1.256*π
h = 0.254 cm
C(V,r) = 0.2*π*r² + V*/r
C(min) = 0.2*π* (√ V/ 1.256)² + V/ √ V/ 1.256
C(min) = 0.2*π*V/1.256 + V/ √ V/ 1.256
C(min) = 0.5*V + √V/1.256 $
If A = {x x is an even integer), B = {xx is an odd integer), C = {2, 3, 4, 5), and D = {8, 9, 10, 11), list the element(s) of the following set.
AND
An D= { } (Use a comma to separate elements in the set.)
Answers
Answer:
AnD = {8,10}
Step-by-step explanation:
A = {2, 4, 6, 8 ,10 ...}
B = {1, 3, 5, 7 ,9 ...}
C = {,2 ,3 ,4 ,5 ...}
D = { 8, 9 ,10 ,11 ...}
AnD = {8, 10}
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me i really do need the help
Each of the problems below was solved incorrectly, for each problem, find the mistake in the work/ answer. Explain what the mistake is, and find the correct answer.
Explain the mistake:
Find the correct answer(equation):
2. Find the value of x
Explain the mistake:
Find the correct answer(equation):
3. Find the value of x
Explain the mistake:
Find the correct answer(equation):
Answers
Question 1
The mistake is that vertical angles are congruent, and don't always add up to 180 degrees.[tex]5x=100 \longrightarrow x=20[/tex]Question 2
Angles that add to form a right angle add to 90 degrees, not 180 degrees.[tex]3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17[/tex]Question 3
Angles that add to form a right angle add to 90 degrees, not 180 degrees.[tex]3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17[/tex]Which of the following are exterior angles? Check all that apply.
Answers
What is the volume of the cylinder below?
3
Answers
If a triangle has side lengths a, b, and c, and if a^2 + b^2 = c^2, then the converse of the Pythagorean theorem says that the triangle is a(n)
A. equiangular triangle
B. scalene triangle
C. equilateral triangle
D. right triangle
Answers
I think it is D
Person A leaves his home to visit his cousin, person B, who lives 243 miles away. He travels at an average rate of 46 miles per hour. One half-hour later, person B leaves her house to visit person A, traveling at an average rate of 64 miles per hour. How long after person B leaves will it be before they meet?
Answers
When B starts trip A has already gone 23 miles (46 x 0.5)
This means they are still 220 miles apart.
Their closing speed is 46 + 64 = 110 mph.
They will meet 2 hours after B leaves home. (220 / 110)
A will have travelled 46 x 2.5 = 115 miles and B will have travelled 2 x 64 = 128 miles
Find the area of this triangle.
Round to the nearest tenth.
11 in
76 degrees
24 in
[?] in
Answers
Answer:
Step-by-step explanation:
128.1
Alexander is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 100% recyclable aluminum.
Over one month, he collected 1297 cans.
What is the mass, in kilograms, of these cans?
Answers
Answer:
22 kg
Step-by-step explanation:
1297 cans * (17 grams)/(1 can) * (1 kg)/(1000 g) = 22.049 kg
Answer: 22 kg
explanation would be appreciated, last word is indicated.
Answers
Answer:
AC = 28
Step-by-step explanation:
Ok, we know that:
Points A, B, and C are collinear.
Point B is between A and C.
We want to find the length AC (distance between A and C), if we know that:
AB = 16
BC = 12
Ok, knowing that B is between the other points, we know that:
AB + BC
defines the total length of the segment that connects the 3 points.
Thus, if we define this segment as a length, we only use the endpoints, A and C.
Then we have that:
AB + BC = AC
now we can solve this:
16 + 12 = AC
28 = AC
i need help with this!
Answers
9514 1404 393
Answer:
64.6
Step-by-step explanation:
One standard deviation is 4.3. Then +2 standard deviations is ...
(+2)(4.3) = +8.6
This amount added to the mean gives ...
56 +8.6 = 64.6 . . . . +2σ from the mean
find the approximate value of the circumference of a circle with the given radius use part equals 3.14 runner results to one more decimal than the given results 6 ft
c =
18.8 ft
18.8 ft
37.6 ft
37.7 fr
Answers
Abigail loves collecting stamps. A particular pack of stamps costs a lot of money, so she sells half of her collection in order to afford it. She buys the pack of 15 stamps and now has 145 total . How many did she have before she sold half of the collection?
Answers
Answer:
260
Step-by-step explanation:
145-15=130
130 x 2 = 260
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer. square root of the quantity x minus 2 end quantity plus 8 equals x
Answers
Answer:
x = 11.
Step-by-step explanation:
√(x - 2) + 8 = x
√(x - 2) = x - 8
Square both sides:
x - 2 = x^2 - 16x + 64
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
x = 6, 11.
Test for an extraneous solution:
x = 6:
Left side = √(6-2) + 8 = 10
Right side = 6
x = 11:
Left side = √9 + 8 = 11
Right side = 11
So x = 6 is extraneous.
The Sweet Slice Cafe has 6 pastries for sale, including 3 glazed donuts.
What is the probability that a randomly selected pastry will be a glazed donut?
Write your answer as a fraction or whole number.
Answers
Answer:
50% or 3/6 (1/2).
Step-by-step explanation:
One number is 5 more than eight times another. Their sum is 104. Find the numbers. Enter your answer as a list of numbers separated by a comma: a,b
Answers
Answer:
la conclave Tu pa I ya me tiene dcado esta ndjfjejcuejfn
Step-by-step explanation:
jdjfiifw rjfje djfje fjdjje fjejrj cjdjrn d djdjjff jddjd bdbdjrjrbd. dbebdb d d dbrbdbd. d dd rjrj I'd. drbdbdb. ffbdjjdjdb. d f. bdjdbd bdjdjdjd d dbdhn
PLSS HELP ASAP TYSM <33 SORRY I COULDN'T FIND SCIENCE LOLL
Answers
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
can someone answer this please
Answers
A=1/2h(a+b)
84=1/2(6)(7+b)
84=3(7+b)
84=21+3b
3b=84-21
B=63/3
B= 21 cm
I’m sorry if my answer turned out to be wrong but I tried my best so best of luck !!
Answer:
x = 14
Step-by-step explanation:
Please note, the word trapezium is a synonym for the word trapezoid.
This problem gives one the area of the trapezoid, a well as one of the measurements of a base and the height of the figure. One is asked to find the length of the other base. This can be done by using the formula to find the area of a trapezoid. This formula is the following,
[tex]A=(h)(\frac{b_1+b_2}{2})[/tex]
Where (A) represents the area of a trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represents the bases and (h) represents the height. Substitute in the given values and solve for the unknown base.
[tex]b_1=7\\h=6\\A=84[/tex]
[tex]A=(h)(\frac{b_1+b_2}{2})\\[/tex]
Substitute,
[tex]84=6(\frac{7+b_2}{2})\\[/tex]
Inverse operations,
[tex]84=6(\frac{7+b_2}{2})[/tex]
[tex]14=\frac{7+b_2}{2}[/tex]
[tex]28=7+b_2[/tex]
[tex]14=b_2[/tex]