Answer:
a) [tex]P(B/A) = P(B)[/tex]
Step-by-step explanation:
Step(i):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
we will use the conditional probability
[tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]
or
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
Step(ii):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(B/A) = P(B)[/tex]
There are 25 questions in a quiz.
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a) What is the maximum score you could get on the quiz?
b) What is the minimum score you could get on the quiz?
c) A student answers 15 questions.
10 are correct. How many points does he score?
d) Another student answers 21 questions.
6 are correct. How many points does she score?
Answers of the quiz are as follows
A. 75
B. -50
C. 20
D. -12
We have been given that -
Number of questions= 25
Correct answers= x and score= 3
Incorrect answers= y and score= -2
Not answered= z and score= 0
We can calculate the score as:
A) What is the maximum score you could get on the quiz?
Maximum score one can get on the quiz if he / she correct all i.e. -
25 × 3 = 75.
B) What is the minimum score you could get on the quiz?
Minimum score one can get on the quiz if he / she correct all i.e. -
25 ×-2 = -50.
C) A student answers 15 questions.10 are correct. How many points does he score?
Scored points = (10 × 3) + (5 × -2)
= 30 -10
=20 points
D) Another student answers 21 questions. 6 are correct. How many points does she score?
= 6 × 3 + (15 × -2)
= 18-30
= - 12 points
Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.
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Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.
look at png sorry i need to type 20 characters but the chart explains everything
simplify your answer but adding/subtracting like terms
The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
HELPP ILL GIVE BRAINLESS
Which inequality represents all values of x for which the quotient below is
defined?
VX+1 + 33 -
A. XS3
B. -1 sx<3
C. -1 sxs3
D. X2-1
Answer:
Step-by-step explanation:It's c bestie ,;
Answer:
The answer is C
Step-by-step explanation:
I took the quiz and looked it up just to make sure
5x^2 + 19x + 12=0
how do i figure this out
Answer:
x=−4/5 or x=−3
Step-by-step explanation:
Step 1: Factor left side of equation.
(5x+4)(x+3)=0
Step 2: Set factors equal to 0.
5x+4=0 or x+3=0
x=−4/5 or x=−3
La multiplicación (-5)(6) obtenemos como resultado
Answer:
-30
Step-by-step explanation:
Hey! Can someone help me?
Answer:
C) 180
Step-by-step explanation:
y = 105 (because of alternate interior angles)
105 + x = 180
x = 75
x + y
105 + 75
180
how do you solve:
f(x) = x^2 - 6x + 8
I need to understand how to solve this so please show work, thank you!
Answer:
Hopes this SS Helps you
Step-by-step explanation:
XOXO
KIT
Answer:
x = 2, x = 4
Step-by-step explanation:
Begin by letting f(x) = 0 , that is
x² - 6x + 8 = 0
Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (- 6)
The factors are - 2 and - 4 , since
- 2 × - 4 = + 8 and - 2 - 4 = - 6 , then
(x - 2)(x - 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 4 = 0 ⇒ x = 4
hii please help i’ll give brainliest
Helllllllpppppp ASAP
Answer:
D.B
Step-by-step explanation
40+35= 75+105= 180
(edited)
Pls help now!!!!!!!!
The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?
Answer:
10 feet
Step-by-step explanation:
a²+b²+=c²
a=8ft
b=6ft
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
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A rectangle has a length of 5x + 2 ft and a width of 2x + 11 ft.
Write an expression to model the area of the rectangle.
Show work, please!
Answer:
A = length * width
A = 5 (x+2)
A = 5x+10
I'm SO SORRY
Round 287.32 to whole number
Answer: 287
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Answer:
287
Step-by-step explanation:
since we are rounding to a whole number, the number would be depending on .3
3 is less than 5 so round down
287
Which best represent the simplified relative frequency of winning 9 out 15 games?
A. 3/5
B. 5/3
C. 9/15
D. 15/9
Answer:
i think the answer is A
Step-by-step explanation:
9/15 simplified is 3/5
Answer:
best represent the simplified relative frequency of winning 9 out 15 games:9/15=3/5
guys, please help me!!!!!! I'll give you brainly and a ton of points!
Answer:
31
Step-by-step explanation:
62 / 2 = 31
Answer:
31
Step-by-step explanation:
angle is half of arc
find the area of the rhombus. 19-24
3.6
2.5
7.25in
Answer:
To answer this question I need the values of the rhombus. like the p and the q.
Step-by-step explanation:
What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °
The volume of a cylinder is 80 cubic centimeters. If the diameter and
height of the cylinder are multiplied by 4/5, what is the volume of the new
cylinder?
Answer:2 yds and h
Step-by-step explanation:
The volume of the new cylinder will be equal to 40.96 cubic centimeters.
What is the volume of a cylinder?The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height.
The formula to calculate the volume of the cylinder is given below:-
V = πr²h
Given that volume of a cylinder is 80 cubic centimeters. The diameter and height of the cylinder is multiplied by 4/5. The new volume will be:-
Vi= πr²h = 80 cubic centimeters.
The new volume will be calculated as:-
Vn= π (4/5r)²(4/5)h
Vn = (64 / 125 ) πr²h
Vn = (64 / 125 ) x Vi
Vn = (64 / 125 ) x 80
Vn = 40.96 cubic centimeters.
Therefore, the volume of the new cylinder will be equal to 40.96 cubic centimeters.
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please help i’ll give brainliest
Answer:
decomposer
Step-by-step explanation:
44⁷×55+76÷79+80
i am can't solve this question
Step-by-step explanation:
Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
So, 48+24=72
So, the missing cumulative frequency is . 72
Answer:
the missing cumulative frequency is . 72
Step-by-step explanation:
What's 3(5x + 4) (I’m on a time limit
Answer:
15x + 12
Step-by-step explanation:
3(5x + 4)
15x + 12
3 · 5x = 15x
3 · 4 = 12
Combine them:
15x + 12
Answer:
3(5x + 4)
15x + 12
3 · 5x = 15x
3 · 4 = 12
15x + 12
SOMEONE HELP please!!!! *ill mark brainliest
Answer:
-12 degrees
Step-by-step explanation:
the graph
plss help i really need this! i really need serious answer :(
Answer:
1) 4
2) 15/2
3) 75
Step-by-step explanation:
Answer:
BD is midsegment parallel to CEMidsegment is the half the parallel side1. If BD = 2, then CE = 2*BD = 2*2 = 4
2. If AC = 15, the AB = 1.2*15 = 7.5
3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles
4. If AE = 6x + 8 and BD = 18, then x is:
this is confusing, there is no direct relationship between these two segments5. If BD = x + 1 and CE = x + 10 then:
2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie
9514 1404 393
Answer:
260π in²
Step-by-step explanation:
The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...
l² = 10² +24² = 100 +576 = 676
l = √676 = 26
The given formula tells you the lateral area is ...
A = πrl = π(10 in)(26 in)
A = 260π in² . . . . . cone's lateral area
_____
Additional comment
The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.
Answer:
260[tex]\pi in^{2}[/tex]
Step-by-step explanation:
Which justification can be used to demonstrate the graph is correct?
The justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
[tex]\rm x+3.5 < \dfrac{1}{10}(y-2)^2[/tex]
If plug (0, 0)
0 + 3.5 < 4/10
Which is not true.
Thus, the justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.
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Help? please do not answer randomly
Answer:
x = 4.5
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side, that is
5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )
x = 4.5
Point B(4, 3) is reflected over the y-axis. What are the coordinates of the resulting point, B′?
Answer: ummm... i think it is.. 3-2
Step-by-step explanation:
x-y=4
What is the slope and Y Intercept?
Answer: m is the slope and b is the y-intercept.
Step-by-step explanation:
it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .