suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a pc. find the probability that this person is a graduate student. show your work
The probability that this person is a graduate student is 0.3833.
From the recent census
40% of its students mainly used Ma- cintosh computers.
At the time of the census, 67% of the school's students were undergraduates.
In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers.
We have to find the probability that this person is graduate student.
Let A represent the event that student uses Mac.
So P(A)=40%=0.4, P(A')=60%=0.6
Then let B be the event that randomly chosen student is undergraduate·
So, P(B) = 67%=0.67, P(B')= 33%=0.33
Further, 23% of respondents were graduate. Students who said they used PCs as their Primary Computers
So P(B'∩A')=23%=0.23
If we select a student at random from among those who were part of the Census and learn that student mainly uses PC, then probability that this person is a graduate student is:
P(B'|A') = P(B'∩A')/P(A')
P(B'|A') = 0.23/0.6
P(B'|A') = 0.3833
Hence, the probability that this person is a graduate student is 0.3833.
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The right question is:
Mac or PC? A recent census at a major university revealed that 40% of its students mainly used Ma- cintosh computers (Macs). The rest mainly used PCs. At the time of the census, 67% of the school's students were undergraduates. The rest were gradu- ate students. In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers. Suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a PC. Find the probability that this person is graduate student. Show your work.
Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Please help! Correct answer only please! I need to finish this assignment by tomorrow.
The formula for a baseball player's slugging percentage is:
1S + 2D + 3T+ 4HR/AB
If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 367 At Bats.
What is the player's slugging percentage?
A. 0.524
B. 0.779
C. 0.883
D. 0.736
Answer:
0.779
Step-by-step explanation:
1(58)+2(24)+3(8)+4(39)=286
286/367=0.779
PLS GIVE BRAINLIEST!!!
A random sample of 48 devices was selected from a warehouse and in turn randomly divided into three groups of 16. Group A was the control group so nothing was done to the devices. Group B devices were submerged in water for 15 minutes. Group C devices were dropped to a cement floor from 5 feet. Each device was then evaluated for performance (the lower the score the better).
Required:
Does there appear to be any measurable effect of immersing them in water or dropping them?
We can conclude that there is no measurable effect of immersing them in water or dropping them. Thus, we cannot conclude that the treatment has any significant effect.
To answer whether there appears to be any measurable effect of immersing the devices in water or dropping them, we have to compare the average scores of each group before and after submerging them in water or dropping them.
The null and alternative hypotheses are stated as follows:
Null Hypothesis H0:
µ1 = µ2 = µ3
Alternative Hypothesis Ha:
µ1 ≠ µ2 ≠ µ3
The level of significance is α = 0.05.
ANOVA table helps us to calculate the test statistic.
The calculated F-value of 1.56 is less than the critical F-value of 3.05 at the 0.05 level of significance.
Since the calculated F-value is less than the critical F-value, we fail to reject the null hypothesis.There is no significant difference in the scores between the groups.
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please help, thanks.
Answer:
\(5 + 0.7 + 0.03 = 5.73 \\ 100 + 50 + 3 + 0.5 + 0.04 + 0.008 = \\ = 153.548\)
Answer:
573/100 =5.73 this is the answer
Please help me! Best answer gets brainliest!
Answer:
Step-by-step explanation:
Answer:
This probably isn't much help but I got xy^5. It isn't on the multiple-choice but xy^6 is the closest to my answer so I would guess it's that.
step-by-step explanation:
Solve the equation
- 3 = x - 8
Answer:
x=5
Step-by-step explanation:
-3=x-8
8-3=x
x=5
which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63
The equation that can be used to find the length of the hypotenuse of a right triangle is the Pythagorean theorem, which states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
In the given triangle with side lengths 63, 16, and x, the length of the hypotenuse is represented by x. Thus, we can apply the Pythagorean theorem to find the value of x.
Using the Pythagorean theorem, we get:
x^2 = 63^2 + 16^2
Simplifying the equation, we get:
x^2 = 3969 + 256
x^2 = 4225
Taking the square root of both sides, we get:
x = 65
Therefore, the length of the hypotenuse of the right triangle is 65.
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5)Solve the formula= c for m.m
QUESTION
Solve for m in the the formula:
\(\frac{r}{m}\text{ =c}\)Solution
To solve for m
we will first multiply both-side of the equation by m
That is:
\(\frac{r}{m}\times\text{ m = c}\times m\)On the left-hand side of the equation m at the numerator will cancel-out m at the denominator, leaving us with just r
\(r\text{ = c}\times m\)Next, is to divide both-side of the equation by C
\(\frac{r}{c}\text{ = }\frac{c\times m}{c}\)At the right-hand side of the equation, c at the numerator will cancel-out c at the denominator, leaving us with just m
\(\frac{r}{c}\text{ = m}\)This implies that:
\(m\text{ =}\frac{r}{c}\)What is the distance between the points (−3, −5) and (−3, −7) ?
2 units
4 units
12 units
10 units
Step-by-step explanation:
d = √(x2-x1)²+(y2-y1)²
d = √(-3-(-3))²+(-7-(-5))²
d = √ 0+(-2)²
d = √4
d = 2 units
In 2010, County A had a population of 1.3 million people. The largest factory in the area produced 1700 million widgets per year. The population of County A is projected to grow at 1.2% per year, and the number of widgets produced is expected to grow by 10 million per year.
The graph of y=1700+10x/1.3(1.012)^x
represents the annual widget production per person for County A from 2010 to 2020, where x is the number of years after 2010. The next-highest widget-producing county produces widgets at a constant rate of 1200 widgets per person. Use a graphing calculator to extend the graph and find the year when County A will no longer be the leader in widget production.
Answer:
didn' t understand ....
find the length of arc RS. Use 3.14 for pie. Round to the nearest tenth.
3.10
Step-by-step explanation:
If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10
5 less than 2/3 of a number is 19. Find the number
Answer:
the anser in 60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
What is the value of x? PLEASE HELP
Answer:
4
Step-by-step explanation:
what is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of 5 percent, compounded annually
Answer: it is 8103.38
Step-by-step explanation:
A child's ticket to a concert costs x and an adult ticket cost four times as much as a child's ticket The difference between Mrs. Royal ticket and her
child's tickets is $600.
(a) Write an equation to show this information.
(b) Solve your equation and write down the cost of an adult ticket.
Answer:
Mrs.Royal's ticket costs $800.
Step-by-step explanation:
Child's Ticket= x
Adult's Ticket= 4x
4x-x=600
3x=600
x=200
200*4=800
100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
Find the general solutions of the following differential equations using D-operator methods: 1.(D^2-5D+6)y=e^-2x + sin 2x 2. (D² + 2D+4) y = e^2x sin2x
The homogeneous solution is: y_h = c1e^(2x) + c2e^(3x), the particular solution is: y_p = (-1/10)e^(-2x) + (1/8)sin(2x) - (3/40)cos(2x) and The characteristic equation is: r^2 + 2r + 4 = 0
To find the general solutions of the given differential equations using the D-operator method, we can first find the homogeneous solution and then the particular solution.
The general solution is the sum of the homogeneous and particular solutions.
(D^2 - 5D + 6)y = e^(-2x) + sin(2x)
First, let's find the homogeneous solution by solving the associated homogeneous equation:
(D^2 - 5D + 6)y = 0
The characteristic equation is:
r^2 - 5r + 6 = 0
Factoring the characteristic equation, we get:
(r - 2)(r - 3) = 0
This gives us two distinct roots:
r = 2 and
r = 3.
Therefore, the homogeneous solution is:
y_h = c1e^(2x) + c2e^(3x)
Next, let's find the particular solution. We assume a particular solution of the form:
y_p = Ae^(-2x) + Bsin(2x) + Ccos(2x)
Taking the derivatives of y_p, we have:
y'_p = -2Ae^(-2x) + 2Bcos(2x) - 2Csin(2x)
y''_p = 4Ae^(-2x) - 4Bsin(2x) - 4Ccos(2x)
Plugging these derivatives into the differential equation, we get:
(4A - 4Bsin(2x) - 4Ccos(2x)) - 5(-2Ae^(-2x) + 2Bcos(2x) - 2Csin(2x)) + 6(Ae^(-2x) + Bsin(2x) + Ccos(2x)) = e^(-2x) + sin(2x)
Simplifying and matching like terms, we get:
(-2A + 2B - 2C)e^(-2x) + (8A + 4B - 4C)cos(2x) + (8C + 2B + 4A)sin(2x) = e^(-2x) + sin(2x)
To solve this system of equations, we equate the coefficients of each term:
-2A + 2B - 2C = 1
8A + 4B - 4C = 0
8C + 2B + 4A = 1
Solving this system of equations, we find:
A = -1/10
B = 1/8
C = -3/40
Therefore, the particular solution is:
y_p = (-1/10)e^(-2x) + (1/8)sin(2x) - (3/40)cos(2x)
Finally, the general solution is the sum of the homogeneous and particular solutions:
y = y_h + y_p
y = c1e^(2x) + c2e^(3x) - (1/10)e^(-2x) + (1/8)sin(2x) - (3/40)cos(2x)
(D^2 + 2D + 4)y = e^(2x)sin(2x)
Similarly, let's find the homogeneous solution first:
(D^2 + 2D + 4)y = 0
The characteristic equation is:
r^2 + 2r + 4 = 0
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the long leg of a right triangle is 71 feet longer than the short leg. the hypotenuse is 85 feet long. how long are the legs of the right triangle?
The right triangle Short leg: 14 feet and Long leg: 85 feet.
Because you have a right triangle, and you know the hypotenuse, you can use the Pythagorean Theorem:
x2 + y2 = 852
You are told the difference between the 2 sides:
x = y + 71
Now you have 2 equations. Use the expression for x in the 2nd equation, and substitute into the first:
(y + 71)2 + y2 = 852
Originally known as a rectangle triangle , a right triangle or right-angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., It has two perpendicular sides.
The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
The hypotenuse is the side that is opposite the right angle (side c in the figure). Legs are the sides that are close to the correct angle (or catheti, singular: cathetus).
The side b that is adjacent to angle B and opposite to angle A is known as side a, while the side a that is adjacent to angle A and opposite to angle B is known as side b.
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The value of the short leg of the right angle triangle is 14 feet while the value of the long leg will be 85 feet.
You may apply the Pythagorean Theorem since you have a right triangle and know the hypotenuse:
x^2 + y^2 = 852
You are told the difference between the 2 sides:
x = y + 71
Now we have 2 equations.
Now, we will use the expression for x in the 2nd equation, and substitute into the first:
Thus we will get it as:
(y + 71)^2+y^2=852
A right triangle, also known as a right-angled triangle, is a triangle with one angle that is a right angle (that is, a 90-degree angle), i.e., it has two perpendicular sides.
The connection between the sides and angles of a right triangle is the basis of trigonometry.
The hypotenuse is the opposite side of the right angle.
Legs are the sides that are nearly at the right angle
The side b that is adjacent to angle B and opposite to angle A is known as side a, while the side a that is adjacent to angle A and opposite to angle B is known as side b.
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Victoria went shopping for ingredients to make a stew the table shows the word weight and the cost of each of the ingredients that she bought
Answer: Carrots cost(s) the most per pound
Step-by-step explanation:
histograms can be used to observe where the data tends to
Histograms can be used to observe where the data tends to cluster.
What is a histogram?
A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual.
Histogram is used when data is in numbers and data tends to cluster. It is used to examine the data distribution's form. It is even used to evaluate whether the output differs when two or more processes are involved.
Hence, histograms can be used to observe where the data tends to cluster.
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Describe the transformations that were applied to the parent function
f(x)=|x|-5
Answer:
Shifted 5 units down
Step-by-step explanation:
For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?
Answer:
(-4,3)
Step-by-step explanation:
I got it correct :)
The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
The equation of the line is y - 3 = 2 ( x + 4 )
The slope m = 2
Let the point be = A ( x₁ , y₁ )
The point A can be calculated from the equation of line
From the formula for equation of line , we can substitute the values and find the point A
So ,
Equation of line is y - y₁ = m ( x - x₁ )
Substituting the value of x₁ , y₁ and m in the equation , we get
y - 3 = 2 ( x - ( -4 ) 0
So , y₁ = 3
x₁ = -4
Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )
Hence , the point A is ( -4 , 3 )
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I need help ASAP 15 points
The value of x is 9 and the mistake that Maggie made is that she did use the proper operation sign when rearranging the numbers.
How to find vertical opposite angles?When any two straight lines intersect each other, then four angles are formed. The angles that are directly opposite to each other are known as opposite angles. They are also called vertical angles or vertically opposite angles.
Now, from the image attached, we see that the two given angles are opposite angles and as such they are congruent. Thus, we have;
4x + 2 = 7x - 25
Rearrange to collect like terms on same side to get;
7x - 4x = 25 + 2
3x = 27
x = 27/3
x = 9
The mistake that Maggie made is that she did use the proper operation sign when rearranging the numbers.
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Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
15x1/5=
im doing my homework its kinda confusing lol!
Answer:
3
Step-by-step explanation:
(15×1)÷5=
Clare said, "in the first five years, between 1977 and 1982, the cost fell by about $12 per year. but in the second five years, between 1983 and 1988, the cost fell only by about $2 a year." show that clare is correct.
Let p be the function that gives the cost , in dollars, of producing 1 watt of solar energy years after 1977. Here is a table showing the values of from 1977 to 1987.
t p(t) p(10)-p(0)
0 80 p(10)
1 60 p(10)- p(0)/10-0
2 45 p(10-0)
3 33.75
4 25.31
5 18.98
6 14.24
7 10.68
8 8.01
9 6.01
10 4.51
Which phrase best captures the average rate of change in the price of solar energy between 1977 and 1987?
Which phrase best captures the average rate of change in the price of solar energy between 1977 and 1987?
Which equation best captures the yearly average increase rate of solar prices between 1977 and 1987?
This discussion aims to help students remember what average rate of change for a function means and how it is computed. Select students to explain what each expression's value in this context means. For instance, the cost difference for a solar cell between 1977 and 1987 is represented by the formula p(10)- p(0), whereas the percent change between 1977 and 1987 may be calculated as p(10)/p(0). The fact that the real phrase for the average rate of change, p(10)-p(0)/10-0=-7.55, reveals that the price declined by -$7.55 on average per year since the expression considers the whole difference in price between the 1977 and 1987 divided by the total number of years that passed.
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Kyle baked 20 cookies. If
1
4
of the cookies are chocolate chip, how many chocolate chip cookies did he bake?
Answer:
5
1/4 of 20 is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
20x1/4 or 20÷4=5
use the limit process to find the slope of the graph of the function at the specified point
The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.
we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.
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−16≥−3x−4>
\,\,-31
−31
Answer:
Step-by-step explanation:
\begin{bmatrix}\mathrm{Solución:}\:&\:\frac{7}{3}\le \:x<\frac{58}{3}\:\\ \:\mathrm{Decimal:}&\:2.33333\dots \le \:x<19.33333\dots \\ \mathrm{Notación\:intervalo}&\:[\frac{7}{3},\:\frac{58}{3})\end{bmatrix}