Answer:This is mutually exclusive
P(A) = 1/5
P(B) = 7/20
The formula is P= P(A)+P(B)
P = 1/5+7/20= 11/20
Step-by-step explanation:
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Work Shown:
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 1/5 + 7/20 - 11/20
P(A and B) = 4/20 + 7/20 - 11/20
P(A and B) = (4+7-11)/20
P(A and B) = 0/20
P(A and B) = 0
Events A and B are mutually exclusive because the probability of both events happening simultaneously is 0. One event or the other must happen, but both can't happen at the same time.
Here's a visual way to think about it: draw a rectangle, and then split the rectangle into two smaller parts. The two smaller parts don't have to be equal in area, size, or shape. Label the two smaller parts A and B. If you throw a dart at the rectangle, you'll land somewhere in region A, or region B, but not both regions at the same time. This is a demonstration of what it means to be mutually exclusive. Regions A and B do not overlap in any way.
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a.
12 yd
b. 36 yd
C. 54 yd
d 144 vd
Answer:
a. 12 yd
Step-by-step explanation:
[tex] \sqrt{ {15}^{2} - {9}^{2} } = 12[/tex]
You buy a video game and pay for it with a $50 bill. Write an expression that can be used to find out how much change you should receive.
Answer:
The answer is given below.
Step-by-step explanation:
Let us assume the cost of the video game be x
There should be two chances
The first one is
that the cost of the video game should be equivalent to the amount given
SO
The return is $0
The second one is
When the cost of the video game is less than the amount you pay
SO, the return change is
= $50 - x
A coin is tossed 10 times. 4 of the 10 tosses result in heads.
A - The experimental probability is LESS than the theoretical probability
B - The experimental probability is GREATER than the theoretical probability
C - The experimental and theoretical probabilities are EQUAL
HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!
Answer:
2
Step-by-step explanation:
Find the probability of rolling an odd number on a fair number cube and drawing a 7 of any suit from a standard deck of cards.
Write the probability as a fraction in simplest form. i will mark brainliest
Answer:
1/26
Step-by-step explanation:
This is a case of joint probability. We find the two probabilities separately and then multiply the results together:
P(odd number on cube) = 3/6 = 1/2; P(7 from a deck)) = 13/52 = 1/13
Then the desired joint probability is (1/2)(1/13) = 1/26
Note that the two events here are entirely separate and independent.
3 1/3 + (-2 1/4) + 1 /56 = ???
Answer:
1.10119047619 use first 3 digits for answer
Answer:
1 17/168
Step-by-step explanation:
3 1/3 is the same as 3 4/12
-2 1/4 is the same as -2 3/12
3 4/12 + (-2 3/12) = 1 1/12
1 1/12 + 1/56 = 13/12 + 1/56
we can use 168 as a common denominator to get:
13/12 = 182/168
1/56 = 3/168
add the above together to get 185/168 which is 1 17/168
Worth 50 points and brainliest! plz pl plz plz helpppp due in 10 mins for mee!(where i live) plz help
Answer:
the top x = surface water
the very bottom left x = nonporous rock
the one above it= ground water
the one to the right of that is =porOUS rock
water table last one on the right above them all (bottom right)
Step-by-step explanation:
Answer:
top one is surface water, lowest arrow is water table, second lowest arrow(the dark ground) is nonporous rock, third lowest arrow is groundwater, and the last one is porous rock
Step-by-step explanation:
i may be wrong but i think thats it
given one angle 46 degrees of a triangle how do you solve for x
Answer:
Is it a right triangle?
If it is, the angle you are looking for is 44 degrees
Step-by-step explanation:
Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 12 gallons of water. Five minutes later, the tank contains 10 gallons of water.
Type your answers in the blanks below.
At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
How many more minutes will it take for the tank to drain completely?
________minutes
How many minutes before Jada arrived was the water take completely full?
_________ minutes
Answer:
A) -2/5 gal/min
B) 25 minutes
C) 7.5 minutes
Step-by-step explanation:
A) We are told that the tank contains 12 gallons of water when Jada first sees it.
5 minutes later, it loses two gallons to become 10 gallons.
Thus, rate at which the amount of water in the tank changing = -2/5 gal/min
B) After 5 minutes it contains 10 gallons. Since it drains at 2/5 gal/min, let us say the time to finish draining all is x, thus;
2/5 • x = 10
x = 10 × 5/2
x = 25 minutes
C) When full, it can hold up to 15 gallons. This is 3 more than the 12 she saw when she arrived.
Thus;
2/5 • y = 3
y = 5 × 3/2
y = 7.5 minutes
A road toll is 3¢ for 5 kilometers. How much for 125 kilometers?
Answer:i think it would be 75 cents
Step-by-step explanation:
125 divided by 5 and you get 25, then you fo 25 times 3
Answer:
75 cents
Step-by-step explanation:
x= 5 kilometers
y= 3 cents
y/x= rate of change
3/5= 0.6
125 kilometers is the x variable so y= 0.6(125)
y= 75
what is the radius of the cone?
Answer:
r = 6 in
Step-by-step explanation:
[tex]V = \pi r^{2} \frac{h}{3}[/tex] = [tex]216\pi[/tex]
r²h/3 = 216
r² (18/3) = 6 r² = 216
r² = 216/6 = 36
r = 6
-52/3 • (-2 576)
Pls help :D
Step-by-step explanation:
-5⅔×(-2⅚)
-17/3×(-17/6)
289/18
the sum of 1/2 , 1/4 and 2/5 as a mixed number and in it's simplest form
Anser and i'll gige brainly
Answer:
b² - 4ac > 0
Step-by-step explanation:
Conditions for the discriminant
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Here the roots are x = 0 and x = 4
That is 2 real and distinct roots , then
b² - 4ac > 0
Choose the correct center and radius for the circle with the equation x2 + (y − 8)2 = 49. A. center (0, 8); radius 49 B. center (8, 0); radius 7 C. center (0, −8); radius 7 D. center (0, 8); radius 7
Answer:
D
Step-by-step explanation:
the center is (0,8)
(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))
the radius is 7 (or √49)
Use technology to convert (4, -2) into approximate polar coordinates.
Please hurry!!
Answer:
Option C: (4.47,-0.46)
Step-by-step explanation:
To convert Cartesian coordinates [tex](x,y)[/tex] into polar coordinates [tex](r,\theta)[/tex], use the following formulas:
[tex]r=\sqrt{x^{2}+y^{2} }[/tex]
[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]
Therefore:
[tex]r=\sqrt{x^{2} +y^{2}}=\sqrt{4^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}=4.47[/tex]
[tex]\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{-2}{4})=tan^{-1}(-\frac{1}{2})=-0.46[/tex]
Because (4,-2) is located in Quadrant II, the angle must also be located in Quadrant II. Therefore, the correct polar coordinate would be (4.47,-0.46)
The polar coordinate would be (4.47, -0.46).
What is the difference between cartesian coordinates and polar coordinates?
Although Cartesian coordinates can be utilized in three dimensions (x, y, and z), polar coordinates only identify two dimensions (r and θ). If a third axis, z (height), exists added to polar coordinates, the coordinate system exists directed to as cylindrical coordinates (r, θ, z).
Given:
Let the point be (4,-2).
To convert, cartesian coordinates (x, y) to polar coordinates (r, [tex]$\theta[/tex]),
[tex]$r &=\sqrt{x^{2}+y^{2}} \\[/tex]
[tex]$\theta &=\tan ^{-1} \frac{y}{x} \\$[/tex]
[tex]$ r &=\sqrt{4^{2}+(-2)^{2}} \\[/tex]
[tex]$&=\sqrt{16+4} $[/tex]
[tex]$&=\sqrt{20}[/tex]
= 4.47
[tex]$\theta &=\tan ^{-1} \frac{-2}{4} \\[/tex]
[tex]$&=\tan ^{-1} \frac{-1}{2}=-0.46 \\[/tex]
The polar coordinate would be (4.47,-0.46)
Therefore, the correct answer is option c. r = 4.47, [tex]$\theta[/tex] = -0.46
To learn more about cartesian coordinates and polar coordinates
https://brainly.com/question/18042894
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A mirror is placed on the ground 20 feet away from the base of a tree. A 6 foot tall person stands 4 feet past the mirror and can just see the top of the tree in the mirror. How tall
is the tree?
X
6 feet
4 feet
20 feet
Answer:
,4 feet is the height of the tree
Answer:
4 feetStep-by-step explanation:
#CARRY ON LEARNINGMyra combined the like terms in the algebraic expression correctly. Which statement correctly describes what Myra did?
8 x squared + 7 minus 2 x squared + x
Answer:
The answer would be the first one, combining 8 and -2
Step-by-step explanation:
This is because the 2 like terms are 8x^2 and -2x^2. You can get this by looking in the problem. There are 2 terms with x^2 which means we have to combine them. One of them is 8x^2 (the 1st one) and the other is -2x^2 (since it says 7-2x^2)
If you combine these you will get 6x^2 [8+(-2)=6]
Answer:
the answer is A on edg
Step-by-step explanation:
good luck
What is the circumference of this circle?
r= 2 km
1)) 15.25 km
12.56 km
)) 18.16 km
()) 10.14 km
Answer:
12.56km
Step-by-step explanation:
Circumference of circle=2pi r
Set pi=3.14
2xpix2=12.56km
Find the volume of a pyramid with a square base, where the perimeter of the base is 19.9 in and the height of the pyramid is 14.3 in Round your answer to the nearest tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
5. The lengths of the legs of a right triangle are 4.5 inches and 6 inches. What is the length of the hypotenuse?
Answer:
The hypotenuse is (root) 84.25
Step-by-step explanation:
4.5^2 + 6^2 = x^2 (hypotenuse)
20.25 + 36 = 84.25
x^2 = 84.25
x = (root) 84.25 or 9.1787...
Find an explicit formula for the geometric sequence below.
Answer:
see explanation
Step-by-step explanation:
The nth term ( explicit formula) of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{3} }{-2}[/tex] = - [tex]\frac{2}{3}[/tex] , then
[tex]a_{n}[/tex] = - 2 [tex](-\frac{2}{3}) ^{n-1}[/tex] ← explicit formula
Answer:
Step-by-step explanation:
The formula for an explicit geometric formula (as opposed to a recursive one) is
[tex]a_n=a_1(r)^{n-1}[/tex] where a(n) is representative of the position of a number in the sequence, a(1) is the first number in the sequence, and r is the common ratio. The common ratio is the same number that must be either multiplied in or divided out to get to the next number in the term. Notice that the top numbers in our sequence are doubling which implies we are multiplying the top numbers by -2, and the bottom numbers are going up by multiples of 3. So our common ratio is -2/3. Try it and see:
[tex]-2(-\frac{2}{3})=\frac{4}{3}[/tex] and
[tex]\frac{4}{3}(-\frac{2}{3})=-\frac{8}{9}[/tex] etc.
Therefore, the explicit geometric formula for this sequence is
[tex]a_n=-2(-\frac{2}{3})^{n-1[/tex]
You can use this formula to find any number in the sequence; for example, if you wanted to know the 100th number in this sequence, simply replace n with 100 and do the math. That's what an explicit formula is used for.
Given point A (3, 8) and point B (-5, 1). Find the following: a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points) b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points) c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
Mid point:
[tex] = ( \frac{3 + - 5}{2} , \: \frac{1 + 8}{2} ) \\ = ( - 1, \: 4.5)[/tex]
distance:
[tex] = \sqrt{ {( - 5 - 3)}^{2} + {(1 - 8)}^{2} } \\ = \sqrt{64 + 49} \\ = \sqrt{113} \\ = 10.6 \: units[/tex]
slope:
[tex] = \frac{1 - 8}{ - 5 - 3} \\ = \frac{ - 7}{ - 8} \\ = \frac{7}{8} [/tex]
A box contains 1212 square feet of tiles and costs $40.21. What is the approximate price per square foot?
Answer:
Well 40.21/12.5=3.217 so it is about $3.22 per sqr ft.
Step-by-step explanation:
Percentages and is
An article costing GH 2000.00 is sold at a
profit of 60%. Calculate the selling price
of the article.
Answer:
GH 5000
Step-by-step explanation:
Given data
Cost price= GH 2000.00
Percent profit= 60%
Sales price =???
The sale price can be found as
% profit= sale-cost/sale*100
60= sale-2000/sale*100
60= 100*sale-200000//sale
60*sale= 100sale-200000
1000sale-60sale= 200000
40sale= 200000
sale= 200000/40
sale= 5000
Hence the sales price = GH 5000
Find the length of the side a.
Give your answer rounded to 1 DP.
Answer:
[tex] \frac{10}{5} = \frac{x}{5} \\ 5x = 50 \\ x = 10[/tex]
Answer:
x=5.8m after converting into 1 decimal place
Step-by-step explanation:
i'm doing math and i need a bit of help
find the length HELP PLSSS
By which integer 20 must be divided to get the quotient -20?
Answer:
-1
Step-by-step explanation:
20 / -1 = -20
Select all the correct answers.
Which of these statements about algebra are true?
what are the statements?