Answer:
The expected value of X is $0.2222.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3);
Sum of 12: (6,6)
Probabilities:
4 + 4 = 8 outcomes with a sum of 5 or 9.
8/36 = 2/9 probability of a sum of 5 or 9.
12 outcomes with a sum of 6, 7 or 12.
12/36 = 1/3 probability of the sum being 6, 7 or 12.
36 - 20 = 16 outcomes in which the sum is any other value. So
16/36 = 4/9 probability of a sum of any other value.
What is the expected value of X?
2/9 probability of earning $6.
1/3 = 3/9 probability of earning $2.
4/9 probability of losing $4.
Multiplying each outcome by its probability, we find the expected value. So
[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]
The expected value of X is $0.2222.
In 32 days, a person saved $56. What was the person's average daily savings?
Answer: $ 1792
Step-by-step explanation:
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
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12 The points (-15, -3) and (-7, -1) both lie
in the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?
rate of change is 1/4
Step-by-step explanation:
A tablet sales associate makes $84 each day that she works and makes approximately $33 in commission for each tablet that she sells. If she wants to make at least $348 in one day, at least how many tablets does she need to sell?
Answer:
8 tablets
Step-by-step explanation:
t = # tablets she must sell
348 = 33t + 84
264 = 33t
t = 8
The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.
Let's denote the number of tablets sold as "x."
Given:
Earnings per day (base pay) = $84
Commission per tablet sold = $33
Desired earnings for the day = $348
The total earnings for the day can be calculated as follows:
Total earnings = Base pay + (Commission per tablet * Number of tablets sold)
Total earnings ≥ Desired earnings
Setting up the inequality:
$84 + ($33 * x) ≥ $348
Simplifying the inequality:
$84 + $33x ≥ $348
Now, let's solve for x:
$33x ≥ $348 - $84
$33x ≥ $264
Dividing both sides of the inequality by $33 (the coefficient of x):
x ≥ $264 / $33
x ≥ 8
Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
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Exact = 50 Approximate = 45
Answer:
Approximate of error = 11.11 % (Approx.)
Step-by-step explanation:
Given:
Exact value = 50
Approximate value = 45
Find:
Approximate of error
Computation:
Approximate of error = [(Exact value - Approximate value)/Approximate value]100
Approximate of error = [(50 - 45)/45]100
Approximate of error = [(5)/45]100
Approximate of error = [0.11111]100
Approximate of error = 11.11 % (Approx.)
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
what is the area of the side of this house?
Answer:
25
Step-by-step explanation:
A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $52.63 and standard deviation of $22.01 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to two decimal places.
Answer:
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60
The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
what is the distance between -8 and 535 on a number line
Answer:
527
Step-by-step explanation:
because i did it in the calculator
find the value of x
plssss help me
Answer:
x = 20
Step-by-step explanation:
The angles are supplementary so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
Simplify the expression: 15i ⋅ 4i
Answer:
I think the answer is 11i
there is the correct answer.
What is the probability that a randomly selected date in the year 2021 is not in the month of October or
November?
Type your answer into the box as a decimal. Round to the nearest thousandth.
Answer:
0.833
Step-by-step explanation:
There are 365 days in 2021
There are 31 days in October
There are 30 days in November
(365-61)/365 = 0.833
Will give brainliest for correct answer
Answer:
3
Step-by-step explanation:
Find the missing lengths!!!!!!!
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13
If 4% of a number equals 3, find 8% of that number.
Answer:
I beleive your answer would be 6
8% of 75 is 6 and 4% of 75 is 3
Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
Find the range of the data
97,106,99,97,115,95,108,100
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 115-95=20
giving brainliest !!! *easy*
Answer: 600 sq cm
Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.
Hope this helps!
Answer:
SA = 600
Step-by-step explanation:
A cube has six sides.
The formula to find the SA of a cube is 6a^2
6 x 10^2 = 6 x 100 = 600
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help
Answer:
Mean: 20
Median: 21
Mode: 14
Range: 16
Answer:
the median is 21. the mode is 14 and the range is 16
Step-by-step explanation:
The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.
Answer:
[tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,
[tex](y-y_1)=m(x-x_1)[/tex]
Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.
It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.
[tex](y-(-6))=-2(x-4)[/tex]
[tex]y+6=-2(x-4)[/tex]
Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
Tommy brought three cups of blueberries are in 1 and 1/2 of a cup of blueberries each day how many days can Tommy eat blueberries before they're all gone
Answer:
6
Step-by-step explanation:
I really need help with this
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
c -1 and 2
Step-by-step explanation:
can i have BRAINLIEST?
List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4,
1 1/2,-1.5,3
Is this relationship proportional or non proportional
algebraically find the inverse of a function
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
