Answer:
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = P( blue shirt)
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt ) ≠ P( red shirt)
Explanation:
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
P( Blue shirt | large shirt ) = P( blue shirt). Therefore, option B is the correct answer.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. (See attached image for choices) box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table Size Shirt Color Large Medium Total Red 42 48 90 Blue Total 35 40 75 88 165 77 From the data given in the table, we can infer that
P(red shirt | large shirt) =P(large shirt)
P(blue shirt | large shirt) = P(blue shirt)
P(shirt is medium and blue) = P(medium shirt)
P(large shirt red shirt) = P(red shirt)'
Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in
Answer:
B. 37.5 sq in
Step-by-step explanation:
sana po makatulong ☺️
A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.
Answer:
[tex]C = 24800-4x[/tex]
Step-by-step explanation:
Given
[tex]Module =4[/tex]
[tex]Unit\ cost = \$6200[/tex]
[tex]Unit\ Discount = x[/tex]
Required
The expression for total discount
When the discount is applied, the cost (c) of 1 module is:
[tex]C = 6200-x[/tex]
For 4 modules, we have:
[tex]C = 4 * (6200-x)[/tex]
Open bracket
[tex]C = 24800-4x[/tex]
Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).
What is the Midpoint of segment AB?
Therefore, the midpoint of segment AB is M (2, 3/2).
The midpoint formula is a method to determine the midpoint of a line segment.
To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:
midpoint x-coordinate = (x1 + x2)/2
midpoint x-coordinate = (-3 + 7)/2
midpoint x-coordinate = 4/2
midpoint x-coordinate = 2
Now, let's find the y-coordinate of M by applying the midpoint formula:
midpoint y-coordinate = (y1 + y2)/2
midpoint y-coordinate = (6 + (-3))/2
midpoint y-coordinate = 3/2
For such more question on segment
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Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]
Answer:
sorreyyyy mateeeeee dont know the answer
Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.
Answer:
-131
Step-by-step explanation:
Use -5 in place of x
f(x) = –2x^3+ 3x – 6
f(x) = -2*-5^3+3*5-6
What is the measure of angle X 60° and 40°
Answer:
80 degree is the measure of third angle
i really need help with this i beg you !!
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
[tex]p = 4\cdot l[/tex] (1)
Area
[tex]A = l^{2}[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:
[tex]p = 4\cdot (14)[/tex]
[tex]p = 56[/tex]
[tex]A = 14^{2}[/tex]
[tex]A = 196[/tex]
The perimeter and area of the square are 56 units and 196 square units, respectively.
Help!!
[25+{14-(3x2)-2}]
the answer is on the page it is a screenshot explaining how to do it
if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u
Answer:
if two parallel lines are cut by a transversal, then alternate interior angles are congruent
Math problem please help me answer A and B
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
What is the sales tax for a purchase of $20 if the tax rate is 10 percent?
Answer:
2
Step-by-step explanation:
If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20
Answer:
Before Tax Price: $20.00
Sale Tax: 10.00% or $2.00
After Tax Price: $22.00
Step-by-step explanation:
Using the Addition Method, find the value of x in the
system of equations
3x + 2y = 2
-3x + 5y = 5
Step-by-step explanation:
3x+2y=2------------1
-3x+5y=5-----------2
adding 1 and 2 we get
7y=7
y=1
and from (1),we get
3x+2×1=2
3x=0
x=0 is the required value of x.
We want to solve the given system of equations by using the addition method.
The solution is x = 0.
So we start with the system of equations:
3x + 2y = 2
-3x + 5y = 5
We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:
(3x + 2y) + (-3x + 5y) = 2 + 5
Now we simplify this to get:
7y = 7
Solving for y, we get:
y = 7/7 = 1
Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:
3x + 2*1 = 2
3*x = 2 - 2 = 0
x = 0
Then we can conclude that the value of x is 0.
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La suma de un numero mas 16 es igual a 31
Answer:
47
Step-by-step explanation:
Given f(x) = 5^2x,evaluate f (-1), f (0),and f (2)
The values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
How to evaluate the function?The function is given as:
f(x) = 5^2x
For f(-1), we have x = -1
This gives
f(-1) = 5^(2 * -1)
f(-1) = 0.04
For f(0), we have x = 0
This gives
f(0) = 5^(2 * 0)
f(0) = 1
For f(2), we have x = 2
This gives
f(2) = 5^(2 * 2)
f(2) = 625
Hence, the values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
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Do the line segments with the given lengths form a right triangle? Drag each set of lengths into the correct box.
Answer:
1) Yes
2)No
3)Yes
Step-by-step explanation:
Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!
Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
To find given lengths form a right triangle or not.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
9, 40, 41 will form a right triangle, because:
41² = 40² + 9²
1,681 = 1,681
Also, the rest set of lengths will not form a right triangle.
Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
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The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.
Answer:
area = b+h / lengthxwidth
Step-by-step explanation:
What’s the answers to 15 and 16
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
Please tell me the answer I need it now... please
Answer:
Your answer is C!
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
Round to the nearest whole dollar: $7.23
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
help please and thank you
Answer:
23,030
Step-by-step explanation:
Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.
I need help with this problem can you please show the work
Answer:
48 degrees
Step-by-step explanation:
inscribed angle is always equal to the measure of the arc
Cara is flying a kite at the park using a string that is 42 meters long. She notices that the kite is directly above her friend Leah. If Cara and Leah are standing 36 meters apart, how high is the
kite ?
Answer:
21.63 m
Step-by-step explanation:
Given :
Hypotenus = 42 m
Base = 36 m
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Height = √42²-36²
Height = √1764 - 1296
Height = √468
= 21.63 m
Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum
Finding missing angles
Answer:
The answer is 45 degrees
Answer: x = 45°
Step-by-step explanation:
since the total angle of that corner is 90°, and one of the angle is 45°
What is the surface area of the figure below?
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
When converting a percent to a decimal, will there always be two digits after the decimal point? Explain
Answer:
No
Step-by-step explanation:
For example, 50% can be written as just 0.5