Step-by-step explanation:
Let X be a random variable with PDF given by
fX(x)={ cx2 |x|≤1 0 otherwise
Find the constant c.
Find EX and Var(X).
Find P(X≥
1
2
).
Write an absolute value equation that has the given solution of -2 and 10.
Answer:
x² - 8x - 20
Step-by-step explanation:
Given that 2 values of x
x = -2 & 10, then
x + 2 = 0
x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have
(x + 2) (x - 10) =
x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould
x² - 8x - 20
Thus the equation that arises given two numbers -2 & 10 is
x² - 8x - 20 = 0
Write the null and alternative hypotheses in words and then symbols for each of the following situations.
a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.
Answer:
A) the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p^ = 0.5
Alternative hypothesis; Ha: p^ > 0.5
B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
Step-by-step explanation:
A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.
Thus; p^ = 0.5
So the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p = 0.5
Alternative hypothesis; Ha: p > 0.5
B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc
Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.
The hypotheses in words and symbols are;
Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :
1.)
Null hypothesis : There have been no change in the grade obtained by the students.
Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class
Using symbol :
[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]2.)
Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.
Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.
Using symbol :
[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]Learn more : https://brainly.com/question/16819441
DECA is putting in a t-shirt order for the school. At the Nike store you can get 3 t-shirts for $25.00. At the
Adidas store you can get 4 t-shirts for $29.00. At the Under Armour store you can get 5 t-shirts for $36.00. At
which store would the school get the better deal?
Answer:
Under Armour store you can get a better deal.
Step-by-step explanation:
25/3=8.33
29/4=7.25
36/5=7.2
An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?
Answer:
500 below because you just do the opposite
What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?
2 units
4 units
8 units
16 units
Answer:
4 Units
Step-by-step explanation:
Edge 2021
Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
x² + y² - 10x + 6y = -18
Then, we start the steps to complete the squares, as follows:
x² - 10x + y² + 6y = -18
(x - 5)² + (y + 3)² = -18 + 25 + 9
(x - 5)² + (y + 3)² = 16
Then, the radius is found as follows:
r² = 16 -> r = 4 units.
More can be learned about the radius of a circle at https://brainly.com/question/24307696
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I’m not quite sure what the answer to this is... some help would be nice! :)
Answer:
x = total animals
.53x + .28x + .16x +6 = x
.97x +6 = x
6 = .03x
x = 200 total animals
Step-by-step explanation:
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6,4) and (2,0). (2 points)
Answer:
y - 4 = -0.5(x + 6)
Step-by-step explanation:
Answer:(4-,6)
Step-by-step explanation:hope this helps u i do my best to helps ever one
Does the following table show a proportional relationship between the variables
g and h?
g 3 6 9
h 9 36 81
Answer:
the answer is no it doesnt
What is the surface area in square inches of a cube with a side 7 inches long? HEL0 QUICK
Answer: a = 294 square inches
Use the formula: A = 6a^2
Answer:
294
Step-by-step explanation:
A=6x²
A=6*7²
A=6*49
A=294
What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2
PLZ HELPP
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
Which set of statements explains how to plot a point at the location
(-33.-2)
Start at the origin. Move 3 units right because the x-coordinate is - 3
3.
-3-3
is between 3 and 4. Move 2 units dow
A because the y-coordinate is -2.
Start at the origin. Move 3 units down because the x-coordinate is 3.1.-3 is between -3 and -4. Move 2 units
left because the y-coordinate is -2.
O Start at the origin. Move 3 units down because the x-coordinate is -3
-3.7.-3
2 is between -3 and -4. Move 2 units
right because the y-coordinate is -2.
Start at the origin. Move 3 units left because the x-coordinate is -3
-35-3 is between -3 and -4. Move 2 units
down because the y-coordinate is -2.
Answer:
last one or d
Step-by-step explanation:
Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.
The answer is the last one
Which phrases can be represented by the expression 60w?
The answer is 60 plz correct me
2x – 2 < -4 or 2x – 2 > 20
Answer:
2x – 2 < -4 or 2x – 2 > 20 equals
Step-by-step explanation:
x < − 1 or x > 11
I hope this helps ya
Margaret prepared and cooked the food
for their Thanksgiving feast for 5 hours and
25 minutes. She started at the time shown
below. What time did she finish
A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.
You did not add the attachment for this question to be answered. I have added it
Answer:
0.5333
Step-by-step explanation:
We have
P(faculty) to be the probability of faculty being selected
= 70/300
= 0.233333333
We also have
P(favor) to be the probability of being in favor of this proposal
= 135/300
= 0.45
In answer to this question,
The required probability
= P(faculty) + p(favor) - p(faculty n favor)
p(faculty n favor) = 45/300
= 0.15
Probability = 0.233333333 + 0.45- 0.15
= 0.5333 approximately
Plz help will mark Brainliest What is the length of Ac
hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
How do you solve these angles again?
Answer:
(2x+2)
=98
(x+34)
=82
Step-by-step explanation:
a straight line adds up to 180
(2x+2)+(x+34)=180
x+2+x+34=180
(2x+x)+(2+34)=180(Combine Like Terms)
3x+36=180
3x+36=180
Step 2: Subtract 36 from both sides.
3x+36−36=180−36
3x=144
Step 3: Divide both sides by 3.
3x/3=144/3
x=48
Now you have your x just substitute it in
(2x+2)
=98
(x+34)
=82
If answers not right i am sorry but i tried
What is the value of r2s for r=10 and s=2?
Hey there!
10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40Good luck on your assignment and enjoy your day!
~LoveYourselfFirst
The sum of a first and second number is 130. If the second number is 20 less than four times the first number, find the two numbers. Let x represent the first number and y represent the second number.
Write the System of Equations used to solve this problem.
The system of equations used to solve this problem are: x+y=130 and
y=20-4x. For this system x=-110/3 and y=500/3.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You should convert the text into a math expression:
x+y=130 (1)
y=20-4x (2)
Thus, you should replace the value of y given in equation 2, into equation 1. The,
x+20-4x=130
-3x=130-20
3x=-110
x= - 110/3
Therefore, y will be:
y=20-4*(- 110/3 )
y=20+440/3
y=60/3 +440/3
y=500/3
Learn more about the system of equations here:
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Each Christmas elf makes x toys in an hour. n elves work for t hours to produce 1000 toys.
Write an equation that relates x, n, and t.
Answer:
e(X x T)=1000
Step-by-step explanation:
You do the number of toys they make(X) times the hours they work(T). Then multiply all of it by the number of elves(e). All of that equals the 1000 toys they make all together.
Equation relates x, n and t is n × x × t = 1000
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Each elf makes x toys in an hour
one elf will make x × t toys in t hours
n elf will make 1000 toys in t hours
So n elf will make 1000 toys in t hours
n × x × t = 1000
Hence, the equation relate x, n and t is n × x × t = 1000
Learn more about Equation here
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Pz Answer for Brainliest
Answer:
thank you for free point and have a nice day
Answer:
Where is the question
Step-by-step explanation:
Three times a number is at most negative six.
3x5-6
O 3x2-6
O 3x<-6
O 3x>-6
Answer:
3x ≤ - 6
Step-by-step explanation:
let the number be x.
three times of it would be 3x
since 3x is at most -6, 3x must be less than or equal to -6.
hence, 3x ≤ -6
however, your option seems to not have any sign that has equal to so perhaps the nearest answer would be 3x < -6
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is
square units.
10
Answer:
the height of the triangle is 4
Step-by-step explanation:
2a/b
2(10/5)
2*2
=4
Answer:
The answer is 50.
Step-by-step explanation:
Please help I’ll mark u :(:
Answer:
put it into slope intercept form. which is y=mx+b
Step-by-step explanation:
A teacher had 52 boxes of chocolates with 34 pieces of
chocolate in each box. She wanted to give them to 26 girls and
to 32 boys. Each girl got 36 pieces of chocolate. How many
pieces of chocolate did each boy get?
__ pieces of chocolate
Answer:
each boy will get 26 pieces of chocolate
Answer:
The boys got 26 pieces of chocolate (gender inequality, lol)
Step-by-step explanation:
52 x 34 = 1768
26 x 36 = 936
1768 - 936 = 832
832/32 =
262)
Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had
he paid for the painting?
Answer:
1600 is the answer
Step-by-step explanation:
x + 0.25x= 1.25x =2000÷1.25 =1600
According to Ohm’s law, voltage varies directly with current. A cellphone uses an 8-volt battery and has an electric current of 1.5 amps. What is the constant of proportionality?
5.3 ohms
6.5 ohms
9.5 ohms
12.0 ohms
Answer:
5.3
Step-by-step explanation:
the value K in the formula 8volt divided by 1.5 amps is = 5.3 ohms... ur welcome!!
pls mark this as brainless
Raul earned $3,600 in one month. He paid $828 in income tax that month. What decimal represents the income tax rate?
Answer:
0.23
Step-by-step explanation:
A formula I like to use to find the answer to these types of questions is
[tex]\frac{828}{3600} =\frac{x}{100}[/tex]
first, multiply 828×100=82,800
now divide 82800÷3600=23
so your answer is 23%=[tex]\frac{23}{100}[/tex]=0.23
PLEASE HELP THIS IS WORTH 50 POINTS!!!
Answer:
Do you still need help
Step-by-step explanation:
Answer:
You still need the awnser?
Step-by-step explanation: