The true statement is that C. Events A and B are not independent because P(A|B) ≠ P(A).
How to illustrate the information?The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.
Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).
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The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?
1.Events A and B are independent because P(A|B) = P(A).
2.Events A and B are independent because P(A|B) ≠ P(A).
3. Events A and B are not independent because P(A|B) ≠ P(A).
4. Events A and B are not independent because P(A|B) = P(A).
.
If each 10 x 10 unit square represents one whole, then what
percent is represented by the shaded region?
. In the model above, 25% represents a quantity of 10
students. How many students does the shaded region
represent?
Answer: 125% and 50 students.
Need some help with this!
Answer:
x = ?
Step-by-step explanation:
Use the graph to find the slope.
I NEED HELP ASAP PLEASE AND THANKS.
Answer:
b=320; slope=-30
Step-by-step explanation:
if you look along the y-axis find the spot that the line intercepts and then that's b
now for the slope
find two points on the line, i chose(8 , 120) and (4 , 240)
use the slope formula: y2-y1 over x2-x1
240-120=120 and 4-8= -4
so the slope is 120/-4 and that can be simplified to 30/-1 or -30
Divide 3 over 4 ÷ 1 over 8 = ____. Numerical Answers Expected! Answer for Blank 1:
Answer:
0.09375
Step-by-step explanation:
brainest plz
A rectangular garden has a walkway around it. The area of the garden is 6(3.5x+1.5). The combined area of the garden and the walkway is 7.5(6x+5). Find the area of the walkway around the garden as the sum of two terms.
Answer:
[tex]A_w=24x+28.5[/tex]
Step-by-step explanation:
The rectangular garden is surrounded by a walkway.
The combined area of both is 7.5(6x+5) and the area of the garden alone is 6(3.5x+1.5).
The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:
[tex]A_w=7.5(6x+5) -(6(3.5x+1.5))[/tex]
Removing parentheses:
[tex]A_w=45x+37.5 -21x-9[/tex]
Simplifying:
[tex]\mathbf{A_w=24x+28.5}[/tex]
Please help see the attached photo above
Help 66 points show your work and I’m giving brainliest
Based on the calculations on the given expressions, the correct answers are as follows:
Expression = -5.Quotient = 60/12.x = 48.Expression = 13/20.Prime factorization of 64 = 2⁶.Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.The graph of x = 3.5 is shown in the image attached below.Number of bags = 5 bags.Expression = 100.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to evaluate the given expression?When x = 6, we have:
Expression = 9 + x + 5 - 20
Expression = 9 + 6 + 5 - 20
Expression = 15 - 20
Expression = -5.
What is quotient?Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.
How to interpret and simplify the word problem?The quotient of 60 and 12:
Quotient = 60/12
How to solve the given equation?x/12 = 4
Cross-multiplying, we have:
x = 12 × 4
x = 48.
How to evaluate the given expression?1/20 + 3/5 =
Lowest common multiple (LCM) = 20;
(1 + 12)/20 = 13/20.
How to write the prime factorization of 64?Factors of 64 = 1, 2, 4, 6, 8, 16, and 32
Prime factorization of 64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶.
What are factors?Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.
List of all the factors of 100.Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.
How to calculate the number of boxes?In order to calculate the number of boxes that Doritos can buy, we would apply direct proportion:
1 box = $8
X box = $40
Cross-multiplying, we have:
8X = 40
X = 40/8
X = 5 bags.
Number of bags = 5 bags.
How to simplify the given expression?In order to simplify this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.
Expression = 100 + 2(25 - 5²)
Expression = 100 + 2(25 - 25)
Expression = 100 + 2(0)
Expression = 100.
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In a sample of 80 Americans, 55% wished that they were rich. In a sample of 90
Europeans, 45% wished that they were rich.
a) At a = 0.01, is there difference in the proportions?
b) Find the 99% confidence interval for the differences of the two proportions
Answer:
hjgkulihjoj;l
Step-by-step explanation:
A store bought an airplane poster and marked it up 100% from the
original cost of $5. Later on, Isabella purchased the airplane poster
and paid 10% sales tax. How much, including tax, did she pay for the
airplane poster?
She paid 11 dollars total
Step-by-step explanation:
100% of $5 is $10
10% of $10 is $1
10 + 1 = 11
Please please help me!!!
Answer:
✔️The correct system of linear equations:
2x + 3y = 34
3x + 2y = 36
Cost of each roast beef sandwich: $8
Cost of each turkey sandwich: $6
Step-by-step explanation:
Cost of each roast beef sandwich = x
Cost of each turkey sandwich = y
First platter consists of:
2 roast beef sandwiches, which costs 2 × x = 2x, and,
3 turkey sandwiches, which costs 3 × y = 3y.
Total cost of first platter is $34.
Thus, an equation that represents this scenario would be:
2x + 3y = 34.
The other platter consists of:
3 roast beef sandwiches, which costs 3 × x = 3x, and,
2 turkey sandwiches, which costs 2 × y = 2y.
Total cost is $36.
Thus, an equation that represents this scenario would be:
3x + 2y = 36.
The correct system of linear equations would be:
2x + 3y = 34
3x + 2y = 36
Find the value of x and y by solving simultaneously.
Thus:
2x + 3y = 34 ----› Eqn. 1 × 2
3x + 2y = 36 ----› Eqn. 2 × 3
4x + 6y = 68
9x + 6y = 108
Subtract
-5x = - 40
Divide both sides by -5
x = 8
Cost of each roast beef sandwich = x = $8
Substitute x = 8 into eqn. 1.
2x + 3y = 34 ----› Eqn.
2(8) + 3y = 34
16 + 3y = 34
3y = 34 - 16
3y = 18
Divide both sides by 3
y = 6
Cost of each turkey sandwich = y = $6
No Com
A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get
the correct shade, how many quarts of white paint should be mixed with 8.5 quarts of blue
paint?
Answer:
5.5
Step-by-step explanation:
8.5-5=3.5
so you need to add 3.5 to the amount of white paint.
2+3.5 is 5.5
The answer is 5.5
2^5 is equal to 2•5.
Group of answer choices
Answer:
32≠10
False
Step-by-step explanation:
Answer this question please
Answer:
See below
Step-by-step explanation:
This means
x < 3 or
-x < 3 <==== multiply both sides by -1 <=== this reverses the <
x > -3
so combining the two underlined
-3 < x < 3
Answer:
Step-by-step explanation:
we can expand the inequality to x>-3 or x<3 meaning x should be between -3 and 3 mathematically we can say -3<x<3
hope this helps
PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =
Answer:
1 cake 6 slice
Step-by-step explanation:
just divide
12/2=6
Jake solved an equation, as shown.
Step
1
2
3
4
5
+ cor
Statement
x + 7 = 15
x + 7 - 7 = 15
x = 15
32= 3.15
2=45
Which statement is true?
OA Jake made a mistake in step 2.
OB. Jake made a mistake in step 4.
OC. Jake made a mistake in step 5.
OD. Jake solved the equation correctly.
Two equal expressions combine to make an equation. Jake made a mistake in step 2 and the value of x is 24. The right answer is A.
When two equal expressions are added together with the aid of the equal sign "=," an equation is created.
You may find the solution to the given equation 1/3x + 7 = 15 as shown below.
1/3x + 7 = 15
Subtract 7 from both sides of the given equation
=> 1/3x + 7 - 7
=15 - 7.
1/3x = 8
Multiply both sides of the given equation by 3,
3 x 1/3x = 3 X 8.
x = 24
Hence, X has a value of 24. Jake also erred on the second step.
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Answer:
my boi jake made a mistake at step 2
Step-by-step explanation:
Which shows two products that both result in positive values?
(0.5)(-0.4) and (1,2)(-0,8)
(-0,5)(-0.4) and (1,2)(-0,8)
(0,5)(0.4) and (-1,2)(-0,8)
(0,5)(-0,4) and (1,2)(0,8)
Answer: A is the answer
Step-by-step explanation:
PLZ ANSWER ASAP!!!
A parallelogram ABCD , with I as the middle point of AC and EF is a line that goes through I. Show that IE=IF.
Answer:
IE = IF (By CPCT)
Step-by-step explanation:
Given:
ABCD is a parallelogram
So,
LINE AC || DC
Computation:
IN ΔAIE and ΔCIF
∠AIE = ∠CIF (Vertical opposite angle)
AI = IC (I is midpoint of line AC)
∠IAE = ∠ICF (Alternate angle)
So,
ΔAIE ≅ ΔCIF
So,
IE = IF (By CPCT)
What is the slope of the line shown below?
A. -1/4 B.1/4
C. 4
D.-4
I
Answer:
D -4
Step-by-step explanation:
rise over run rise=-12 run= 3 - 12/3 simplified is -4
Answer:
4
Step by step
you move 12 spots to get to 8 from -4 and 3 to get from -1 to 2 then you do 12/3
On a coordinate plane, 2 lines intersect at (negative 2, negative 5). What point appears to be the solution to the system of equations shown in the graph? ( , )
Answer:
We conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.
Step-by-step explanation:
We know that when two lines meet or intersect at a point in the coordinate plane, the point where they meet is called the point of intersection.
The point of intersection is termed as the solution of the system of equations on a coordinate plane.
Given that the two lines intersect at (-2, -5)
In other words,
at x = -2, y = -5Thus, the point of intersection = (x, y) = (-2, -5)
Thus, we conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.
Answer: -2,-5
Step-by-step explanation: I got it right on edge
How many laps would 50 miles be on a 1/2 mile track?
Answer:
100
Step-by-step explanation:
Multiply 50 by 2
Triangle IHJ is similar to triangle RST.
What is the length of side RT?
Answer:
Length of RT = 6 mm
Step-by-step explanation:
When the triangles are similar the ratio of corresponding sides are equal.
In given triangles we have ( we can take ratio of two sides also)
[tex]\frac{JI}{RT}=\frac{HI}{SR}[/tex]
We need to find length of RT = x
While length of JI= 8 mm
Length of HI = 12 mm
Length of SR = 9 mm
Putting values in formula and finding length of RT
[tex]\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm[/tex]
So, Length of RT = x = 6 mm
There are 234 pieces of candy in 9 bags of candy. If there are the same amount of pieces of candy in each bag, how many total pieces of candy are in 5 bags?
Answer:
130 pieces of candy in 5 bags
Step-by-step explanation:
234/9 equals 26, that means there would be 26 pieces of candy in 9 bags, therefore 26x5 equals 130, and just to make sure, divide 130/26 to check if its wrong, but it should be 130. :) hope this helps you out!
_1. Which of the following is equivalent to 3x - 4y = 6?
José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 years?
He would have a total of: $1639.09
In intrest alone he would've made 1639.09
Step-by-step explanation:
3%= 0.03
The first thing you do is multiply $1,500 by the %3 (0.03).When your done multiplying, you should get 45.Add 45 to 1500Now you have 1545Then you repeat the process over, two more times. However the numbers will change.Ok ok ok ok ok ok ok ok ok ok
Answer:
53%
Step-by-step explanation:
5 over 7 converted into a decimal
Answer: 5/7=0.(714285)
Step-by-step explanation:
[tex]\displaystyle\\\frac{5}{7}=0.(714285)[/tex]
Find the perimeter of abc with vertices (1,-6) (1,-3) (-4,-6)
Answer:
8+√34
Step-by-step explanation:
use distance formula d =√(x2-x1)² +(y2-y1)² to find the sides
√ (1 -1)²+( -6+3)² = √9 = 3
√ (1+4)²+( -6+6)² = √25 =5
√ (1+4)² + (-3+6)² = √25+9 =√34
Perimeter is P = 3+5+√34 = 8+√34
Shep Company’s records show the following information for the current year:
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Determine net income (loss) for each of the following separate situations. (For all requirements, losses should be entered with a minus sign.)
a. Additional common stock of $4,600 was issued, and dividends of $8,600 were paid during the current year.
b. Additional common stock of $15,400 was issued, and no dividends were paid during the current year.
c. No additional common stock was issued, and dividends of $13,600 were paid during the current year.
.
The determination of the net income for each of the following separate situations is as follows:
Situation A Situation B Situation C
Net income $21,800 $2,400 $31,400
Data and Calculations:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Situation A:
Common Stock issued = $4,600
Dividend paid = $8,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 4,600
Dividend paid (8,600)
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$21,800 ($47,400 - $29,600 - 4,600 + 8,600)
Situation B:Common Stock issued = $15,400
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 15,400
Dividend paid
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$2,400 ($47,400 - $29,600 - 15,400)
Situation C:Dividends paid = $13,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued
Dividend paid $13,600
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$31,400 ($47,400 - $29,600 + 13,600)
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Pls solve this somebody....
=====================================================
Explanation:
When two letters are placed together without any space between them, this implies multiplication.
gf = g times f
So we'll be multiplying the functions g and f.
There are two ways to approach this problem.
----------------------------------------------
Method 1
First we need to find f(4) and g(4)
f(x) = 2x+3
f(4) = 2*4+3
f(4) = 8+3
f(4) = 11
g(x) = 2x^2-1
g(4) = 2(4)^2-1
g(4) = 2(16)-1
g(4) = 32-1
g(4) = 31
Now we multiply the results
gf(4) = g(4)*f(4)
gf(4) = 11*31
gf(4) = 341
----------------------------------------------
Method 2
We'll multiply g(x) with f(x) like so
gf(x) = g(x)*f(x)
gf(x) = (2x^2-1)*(2x+3)
gf(x) = 2x^2*(2x+3) - 1(2x+3) .... distribute
gf(x) = 4x^3+6x^2-2x-3 .... distribute again
Now plug in x = 4
gf(x) = 4x^3+6x^2-2x-3
gf(4) = 4(4)^3+6(4)^2-2(4)-3
gf(4) = 4(64)+6(16)-2(4)-3
gf(4) = 256+96-8-3
gf(4) = 341
We get the same result. Method 1 may be the better method, but it will depend on your preference.