Answer:
Independent events
Step-by-step explanation:
Given
[tex]P(A) = 0.50[/tex]
[tex]P(B)= 0.70[/tex]
[tex]P(A\ u\ B) = 0.85[/tex]
Required
Determine the relationship between the events
To do this, we simply calculate P(A n B) using:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
So, we have:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.50 * 0.70[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
[tex]P(A\ n\ B) = 0.50 + 0.70 - 0.85[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
Since: [tex]P(A\ n\ B) = P(A) * P(B)[/tex] [tex]= 0.35[/tex]
Then: the events are independent
Ben opened a savings
account with $75,
Every week he added
$20 more. Write on
equation to model this
situation.
Answer:
The equation would be y = 75 + 20x
What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?
a.576
b.588
c.672
d.648
Answer:
C. 672
Step-by-step explanation:
Answer:
C) 672
Step-by-step explanation:
I need this answered quickly!
Please and Thank you!
Answer:
A
Step-by-step explanation:
-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.
What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2
Answer: A:2^3
Step-by-step explanation:
8=2*2*2=(2)^3
arrange into ascending order 1/3,3/4,1/2
Answer:
1/3, 1/2, 3/4
Step-by-step explanation:
Help ASAP 15 Points
The hot water heater in the Alvarez's home holds 70 gallons of water. Each shower taken uses 5.4 gallons
of water. How much water is left after 3 showers. (Hint: Write an equation relating the number of showers and
the number of gallons left in the tank)
Answer:
53.8 gallons
Step-by-step explanation:
5.4*3=16.2
5.4 (gallons used per shower) * 3 (number of showers) = 16.2 (gallons used in 3 showers)
70-16.2=53.8
70 (Water in tank) - 16.2 (gallons used in 3 showers) = 53.8 (gallons of water left)
Hope this helps! Please brainliest!!!
Answer:
A(3) = 53.8 gallons left after 3 showers
Step-by-step explanation:
A(x) = volume of water left in tank = 70 gallons - (5.4 gallons)x, where x is the number of showers already taken.
After 3 showers, the volume of water left is A(3) = 70 gal - (5.4 gallons)(3), or
A(3) = 53.8 gallons left after 3 showers
2) Check to see if x = 2 is the solution to this equation Explain your
reasoning with words and work. Be clear and completel
- 4x - 12 = 2x -8
What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Add 4.5
---
hope it helps
Answer: add 4.5 to both sides
Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.
Brainliest plz
Which term of the AP 21, 18, 15, ... is 0?
Answer:
Solution : Let Tn=0. Then,21+(n-1)×(-3)=0⇒n=8. So, 8th term is zero.
Step-by-step explanation:
prime factorization of 7776
The orange divisor(s) above are the prime factors of the number 7,776. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 = 7,776. It can also be written in exponential form as 25 x 35.
Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
Answer:
it would be $1800
Step-by-step explanation:
if each hoop costs $600, and they buy 3, 600 x 3 = 1800
Answer:
1800
Step-by-step explanation:
600 * 3 = 1800
The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone. What is the volume of the object (in cubic inches)? *
Answer:
97.6 cm³
Step-by-step explanation:
Volume of plastic object :
Volume of cylinder - volume of cone
From. The diagram. :
Radius, r = diameter /2 = 4/2
Volume of cylinder = pi*r²h
V = 22/7 * 2² * 8 = 100.53096 cm³
Volume of cone = 1/3*pi*r²h
V = 1/3 * 22/7 * 2² * 8
V = 2.9321531 cm³
(100.53096 - 2.9321531) cm³
= 97.598 cm³
= 97.6 cm³
Simplify the problem.
Answer:
Option 4: 4¹¹
Step-by-step explanation:
Looking at the problem, I need to work out 4⁴ squared first, which is the same as 4⁸. Then multiply that by 4³ to get 4¹¹. What I did was simply add 3 + (4 * 2), which is 11.
What information is needed in order to apply the hypotenuse-leg (HL) theorem
Answer:
This theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. ' This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle.
Step-by-step explanation:
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
Learn more about asymptote here:
https://brainly.com/question/4084552
#SPJ2
Answer:
Step-by-step explanation:
10 points!! Please give me real help!!
Answer:
32
Step-by-step explanation:
PLEASE HELP ME!!!!!!
Answer:
a4 = 5/9
Step-by-step explanation:
a1 = 15 , r = 1/3
, a4 =?
Explanation:
To find a4 we use formula
an = a1 · r
n−1
In this example we have a1 = 15 , r = 1/3
, n = 4. After substituting these values to above
formula, we obtain:
an = a1 · r
n−1
a4 = 15 ·
1
3
4−1
a4 = 15 ·
1
27
a4 =
5
9
a box in mrs booths class contains 200 loose white or yellow golf balls
Answer:
Dot Plot
Step-by-step explanation:
Isaiah is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
What is the surface area of the box, in square meters, that
Isaiah decorates
Answer:
389.19 m²
Step-by-step explanation:
The surface area of the box = area of the two equal triangles + area of the 3 different rectangles
✔️Area of the two equal triangles:
Area = 2(½*base*height)
base = 7 m
height = 8 m
Area of the two triangles = 2(½*7*8) = 56 m²
✔️Area of rectangle 1:
Area = Length*Width
L = 13 m
W = 7 m
Area of rectangle 1 = 13*7 = 91 m²
✔️Area of rectangle 2:
L = 13 m
W = 8 m
Area of rectangle 2 = 13*8 = 104 m²
✔️Area of rectangle 3:
L = 13 m
W = 10.63 m
Area of rectangle 3 = 13*10.63 = 138.19 m²
✅Surface Area of the box = 56 + 91 + 104 + 138.19 = 389.19 m²
I NEED HELP ASAPPPP ILL GIVE BRAINLIESTTTTTT
The points where a graph crosses the x- and y-axis are called the __
Answer:
x-intercept
y-intercept
Step-by-step explanation:
Answer:
x-intercept y-intercept
What is front-end ratio and how do you figure it out?
Answer:
The front-end ratio is calculated by dividing an individual's anticipated monthly mortgage payment by his/her monthly gross income. The mortgage payment generally consists of principal, interest, taxes, and mortgage insurance (PITI). Lenders use the front-end ratio in conjunction with the back-end ratio to determine how much to lend.
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
F(x)=h(x)-8
I think
Step-by-step explanation:
Which linear equation represents Catherine’s situation?
Answer:
y=1/9x+104
Step-by-step explanation:
I REALLY hope this helps
Sorry if im wrong
Best of luck!
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
PLEASE HELP THIS IS TIMED!!!
Answer:
its c. 1/4
hope it helps;)
Answer:
1/4
Step-by-step explanation:
1. Look at the numbers on the number line (1,0,-1)
2. See where the point falls in between. (0 & 1)
3. Since the point is closer to 0 you can infer that it is 1/4
What is the theoretical probability of rolling anything other than a two on a fair six sided die?
Answer:
5/6 probability
Step-by-step explanation:
Which of the following points lie on the graph of y=x^2-2x+6
Answer:
Did this help?
Step-by-step explanation:
CAN SOMEONE HELP PLS :D will mark brainliest ;)
Answer: the second one/ \/36/6
Step-by-step explanation: