Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?
Answer:
6,079.42
Step-by-step explanation:
FV = P (1 + r / n)^Yn
P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.
Phillipa says that ( 27 − 9 ) × 3 ÷ 9 + 18 = 42 . Is she correct? If not, what is the correct answer? A. She is correct. B. She is not correct. The correct answer is 2. C. She is not correct. The correct answer is 24. D. She is not correct. The correct answer is 26.
(27-9) x 3 / 9 + 18 = 42
Follow order of operations: parentheses first:
18 x 3 / 9 + 18 = 42
Next is multiplication and division in order from left to right:
18 x 3 = 54
54/9 = 6
Now you have 6 + 18 = 24
24 does not equal 42 so Phillipa is not correct.
The answer is C. She is not correct. The correct answer is 24
Answer:
answer=she is not correct
Step-by-step explanation:
(27-9)*3÷9+18
18*3÷9+18
18*1/3+18
18/3+13
6+13
19
use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)
A supermarket sells various brands of peanut butter.
• Brand A costs $1.92 per jar, and each jar contains 12 ounces.
• Brand B costs $2.40 per jar, and each jar contains 16 ounces.
Which brand costs less per ounce
Another fairly simple one, pretty much a free Brainliest and 30 points.
Answer:
Solution given:
[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]
=[tex]\frac{103}{12}-\frac{10}{3}[/tex]
taking lcm
=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]
Answer:
5 1/4
Step-by-step explanation:
8 7/12 - 3 1/3
We need to get a common denominator of 12
8 7/12 - 3 1/3 *4/4
8 7/12 - 3 4/12
5 3/12
Simplifying the fraction
5 1/4
Please please help me with this
Step-by-step explanation:
i think is k , m , l
bcause 4 is the smallest number,
and 12 is the biggest number.
what is the length of BC?
A. 9 units
B. 11 units
C. 15 units
D. 16 units
Answer:
15units
Step-by-step explanation:
BC is: 5x=5×3=15 units. so,Length of BC=15 units
Help with this question, not sure what the answer is
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
Dana enters a race where she has to cycle and run. She cycles a distance of 25km and then runs for 20km. Her average running speed is half of her average cycling speed. If dana completes the race in 5 hours, what is her average cycling speed !
Step-by-step explanation:
Let running speed = x.
So, cycling speed = 2x.
Total distance traveled = 20 + 25 = 45km
Time taken running = 20/x
Time taken cycling = 25/2c
Total time taken = 5 hours
So, 5 = 20/x + 25/2x
Solving this equation for x gives:
10x = 65. Thus x = 6.5
Since cycling speed = 2x, cycling speed = (6.5)(2)
So cycling speed is 13 km/h.
Hope it helps.
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
If k = -18 and m = 7, what is m - k?
Submit
Answer:
5
Step-by-step explanation:
Evaluate and substitute:
Sqrt of 7 - (-18)
Sqrt of 7 + 18 = 25
Sqrt of 25 = 5
Therefore, our answer!
Hope this helps, best of luck! :p
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
What is point A on the coordinate plane
Answer:
4,1
Step-by-step explanation:
Answer:
(4,1)
Step-by-step explanation:
Ez
can someone please answer
Answer:
x =62
Step-by-step explanation:
The two angles form a straight line so they add to 180
x+118 = 180
Subtract 118 from each side
x = 180-118
x =62
Answer:
x = 62°
Step-by-step explanation:
These both angles are located at straight line.
So, the sum of both angles is 180 °.
x + 118 ° = 180 °
Subtract 118 ° from 180 °
x = 180 ° - 118 °
x = 62 °
Square root of 17 Is a number between
Answer:
D
Step-by-step explanation:
[tex]\sqrt{17} = 4.123[/tex]
So we can see that 4.123 lie between 4 and 5
Therefore, option (D) is correct
which ordered pair is a solution to the system of inequalities graphed?
Answer:
(2,2)
Step-by-step explanation:
fits the requirements
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Because the graph is starting high and going down, your answer is c- exponential decay
Answer:
This is exponential decay.
Step-by-step explanation:
Lets break down the answers:
A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.
B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.
C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.
D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.
Answer Please
...................................................................
Answer:
Step-by-step explanation:
In rectangle , diagonals are equal and bisect each other.
FI = EI
6x - 5 = 2x + 7 {subtract 2x from both side}
6x - 2x -5 = 7
4x - 5 = 7 {Add 5 to both sides}
4x = 7 +5
4x = 12 {Divide bot sides by 4}
x = 12/4
x = 3
EI = 2x + 7 = 2*3 +7 = 6 +7
EI = 13 units
EG = 2 *EI = 13 * 2
EG = 26 units
ΔFIG is an isosceles triangle.
∠IGF = ∠IFG = x
x + x + 120 = 180 {Angle sum property}
2x + 120 = 180 {Subtract 120 form both sides}
2x = 180 - 120
2x = 60
x = 60/2
x = 30
∠IGF = ∠IFG = 30
EH // FG and FH is transversal.
∠IHE = ∠IFG {Alternate interior angles}
∠IHE = 30°
What is the length of a diagonal of a rectangle 9m long and 5m wide?
Can someone pls help
the triangles are similar, what is the value of x?
Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54
Answer:
I think it would be 42. If its wrong I'm sorry
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
AB=? Round your answer to the nearest hundredth
Brainliest goes to whoever answers correctly also if you want more points then answer my others
Answer:
It is a value that is an abnormal distance from the other values in a data set.
Step-by-step explanation:
An outlier is something that stands out from another thing. Such as color in a black and white film.
The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length? *
Answer:
150 meters
Step-by-step explanation:
[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]
cross multiply:
7x = 1050
solve for x by dividing both sides by 7:
x = 150
the second length is 150 meters
Answer:
150 meters
Step-by-step explanation:
To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.
:) ur welcome
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
I'm probably just really bad at math and got this wrong, but I think the answer is 40 cm. Sorry if this doesn't help, like I said I think I'm just bad at math, which it doesn't really make sense as to why I'm answering a math problem, but anyways there's the (probably wrong) answer.
I really hope that helped :P
Any answers for this question?
Answer:
1. - A; 2. - A.
Step-by-step explanation:
'1' = '1' = 8 / √2 = 4√2.
Please help I will mark brainlest
Find the sum of 1+2+3+4...19
Spam answer will be reported
Answer:
190
Step-by-step explanation:
1+2+3+4......19=210-20
=190
When completely factored, 2x3 - 200x
equals-
Answer:
Step-by-step explanation:
The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:
[tex]2x(x^2-100)[/tex]
BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to
(x - 10)(x + 10). So the complete factorization is
2x(x - 10)(x + 10)
