Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
[tex]p_R = 0.21*0.18 = 0.0378[/tex]
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
[tex]p_P = 0.39*0.61 = 0.2379[/tex]
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
[tex]p_S = 0.4*0.21 = 0.084[/tex]
Probability of roommate A winning:
[tex]p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597[/tex]
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)
Answer:
The slope of the perpendicular line to the line is
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
Step(ii):-
The slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
The slope of the perpendicular line = [tex]\frac{-1}{2}[/tex]
5 less than twice the length equals 11 as an algebraic equation
Answer: 2*L - 5 = 11
Step-by-step explanation:
Suppose that we have a rectangle with length L and width W.
Now we know that:
" 5 less than twice the length equals 11"
Then we get:
"twice the length" is written as 2*L
5 less than that is:
2*L - 5
And this is equal to 11, then:
2*L - 5 = 11
This is the algebraic equation we wanted to find,
The price of stock in a software company drops by $42.60 over a 16-day period. On average, how much does it drop per day?
$2.66
$0.37
$26.60
$2.60
PLS NEED HELP WITH 3 AND 4
Answer:
the first one is 62 and the second one
Step-by-step explanation:
i dont know the second one
-2, -4, -8,-16, ... Find the explicit formula
Answer:
it is multiplying by 2 every time. so it would be x(2)
x would be the numbers like -2....etc
hope this is what you were asking!!
its times 2 each time so -2×2=-4 and so on and so on
Check your solution!
5 • x = 12
Answer:
x = 2.4
Step-by-step explanation:
isolate x \/
x=12/5
12/5 = 2.4
Answer:
i dun know wut u mean by check ur solution but I'll anyways solve it
x=12/5
x=2.4
I hope it helps
Geometry question plz someone help me
Using the data from the table to finish constructing the dot plot, how many dots should be placed for the value 2?
A)
2
B)
D)
Answer: 5 dots should be placed on value 2.
Step-by-step explanation:
Answer:
there should be 5 dots
Step-by-step explanation:
Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?
Which graph best represents the equation x + 5y = 25?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answer:
C 89a + 2c)
Step-by-step explanation:
The largest factor of both 8 and 16 is 8. So, 8 = GCF
factor out an 8 and you get 8(a + 2c)
To check if you are correct, multiply and see if you get what you started with.
Answer
Step-by-step explanation: your answer would be -42 so heres how i did it: Evaluate for a=−5,c=−1
(8)(−5)+(2)(−1)
(8)(−5)+(2)(−1)
=−42
Anyone can help me with this
Given:
The data values are
11, 12, 10, 7, 9, 18
To find:
The median, lowest value, greatest value, lower quartile, upper quartile, interquartile range.
Solution:
We have,
11, 12, 10, 7, 9, 18
Arrange the data values in ascending order.
7, 9, 10, 11, 12, 18
Divide the data in two equal parts.
(7, 9, 10), (11, 12, 18)
Divide each parenthesis in 2 equal parts.
(7), 9, (10), (11), 12, (18)
Now,
Median = [tex]\dfrac{10+11}{2}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10.5[/tex]
Lowest value = 7
Greatest value = 18
Lower quartile = 9
Upper quartile = 12
Interquartile range (IQR) = Upper quartile - Lower quartile
= 12 - 9
= 3
Therefore, median is 10.5, lowest value is 7, greatest value is 18, lower quartile 9, upper quartile 12 and interquartile range is 3.
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
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#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics
Which expression is equivalent to 4r2/514.3V5r8, if x=0?
A. 12 r105
B. 6018
C. 35r18
D.
710/5
Look at picture please
Step-by-step explanation:
I think it would be c if not D
The simplification of the given expression using laws of exponents is: 80x⁸
How to use laws of exponents?Some of the laws of exponents are:
- When multiplying by like bases, keep the same bases and add exponents.
- When raising a base to a power of another, keep the same base and multiply by the exponent.
- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.
The expression we want to solve is given as:
4x²√(5x⁴) * 3√(5x⁸)
Using the concept of laws of exponents, this simplifies as:
4x² * x² * 3x⁴ * 5
= 80x⁸
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What is the circumference of a circle if d = 7 feet? Use 3.14 for π
43.98 feet
18.85 feet
47.12 feet
21.98 feet
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
DI
A rectangle measures x cm
by (x + 4)cm.What are the width and length of the rectangle?
Answer:
gggghgbvbbnc niutuyyttttt
Which of these is the best estimate of 68 x 1 7
Answer:
1156
Step-by-step explanation:
we make 7 * 8 = 56
we retain 5
after 7 * 6 = 42 + 5 = 47
below 6 we put a 0 then after we do 1 * 8 = 8 and 1 * 6 = 6 and finally we all calculate so 476 + 680 = 1156
equation.
1. h - 9= 2h - 1
Sagar sold a watch at Rs.400 that he had purchased at Rs.500.what is his
percentage loss?
a. 15%
b. 20%
c.25%
d. 30%
The loss percentage is 20%.
We have the following information available from the question is:
Saggar sold a watch at Rs.400 that he had purchased at Rs.500.
We have to find the Percentage loss.
Now, According to the question:
Cost price of watch is (CP): $500
Selling price of watch is (SP): $400
Loss percentage= Loss/CP x 100.
Loss = C.P. - S.P.
Loss = 500 - 400
Loss = $100
Plug all the values in the formula of loss percentage.
Loss percentage = 100/500 x 100
Loss Percentage is 20%
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Find the missing lengths or missing angles
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*
d = the number of days
c = the total cost of lunch
What is the answer?
Answer:
The dependent variable is c
Step-by-step explanation:
The cost of lunch changes with each day, so the cost depends on the number of days
Answer:
i agree c is the total cost
Step-by-step explanation:
Find the area (in square inches) of the parallelogram.
Step-by-step explanation:
2 ft = 24 inch
3 ft = 36 inch
area of parellogram = base × height = 24 × 36 = 864 inches²MARK ME AS BRAINLISTPLZ FOLLOW ME5 more than the product of a number and 4 is equal to 3 use variable y for unknown number
Answer:
[tex](y + 4) + 5 = 3 \\ y + 9 = 3 \\ y = - 6 \\ [/tex]
I'm not sure
Many states assess skills of their students in various grades. One program that is available for this purpose is the NAEP. One of the tests provided by the NAEP assesses the reading skills of 12th grade students. In a recent year, the national mean score was 288 and the standard deviation was 38. Assuming the scores are approximately normal, give a range of scores that includes 99.7% of these students.
Required:
How high a score is needed to be in the top 25% of students who take this exam (use technology)?
Solution :
Given :
National mean score of the reading test that is conducted the NAEP = 288
Standard deviation of the score = 38
Therefore, P(X > x) = 0.25
P (Z > [tex]$\frac{x-288}{38} $[/tex] = 0.674)
[tex]$\frac{x-288}{38} = 0.674$[/tex]
[tex]$x=288+(38 \times 0.674)$[/tex]
x = 326.67
Therefore, the highest score that is needed for the students to be in the top of 25 percent among the students those who take the exam.
I need help with geometry shapes
Answer:
What do you need though...
A basic rundown since I have no clue what you need help with
Parallelograms
(4 sided shapes that always adds up to 360 degrees if you add all the angles inside with opposite sides parallel)
Squares, rectangles (most common)
Triangles
3 sided figures with all the interior angles being added up equals to 180 degrees. The 3 sides of a triangle can be found with a^2+b^2=c^2.
The properties are 2 legs and 1 hypotenuse. To determine if its a triangle, if the 2 legs added up (two of the shortest sides) they must be greater then the hypotnuse (greatest side).
THese are the two of the most common shapes if you need an huything else just lemme know in the comments.
Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer
Answer:
$2,462,825.99 is the interest accrued
Step-by-step explanation:
hope this helps