Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
help meeeeeeeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
the other right triangle is 3-4-5. so, 3*4/2=6
4*6/2=12
6+12=18
give brainliest pls
HELPP QUICKKK its timedd
Answer:
10
Step-by-step explanation:
what is the answer for this
Answer:
4
Step-by-step explanation:
What is most reasonably measured in miles?
Answer:
Length of a Road
Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.
What are the solutions?
y=k^2-16k-4
Answer:
y−k
2
+16k+4=0
2 Use the Quadratic Formula.
k=\frac{-16+2\sqrt{y+68}}{-2},\frac{-16-2\sqrt{y+68}}{-2}k=
−2
−16+2√
y+68
,
−2
−16−2√
y+68
3 Simplify solutions.
k=8-\sqrt{y+68},8+\sqrt{y+68}k=8−√
y+68
,8+√
y+68
Step-by-step explanation:
!!HELP!! What is q times 10?
Answer:
Q10. You just put them together because it's multiplying of a letter and a number
**I thought I answered this question yesterday, is this a deja vu or something**
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.
Answer:
cb
Step-by-step explanation:
The demand on a power plant changes over time. cause or effect
Answer:
effect
Step-by-step explanation:
What does "(-2)(6)" mean
Answer:
Step-by-step explanation:
it means that you do negative 2 times 6. That is -2 x 6, which is -12
Answer:
implied multiplication
Step-by-step explanation:
(-2)(6)
When two parentheses are next tow each other, there is implied multiplication
-2 * 6
-12
Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )
Answer:
2.6667yd^3
Step-by-step explanation
Volume of the concrete = Length * width * height
Given
height = 6 inches
To yards;
1 in = 0.0277778yd
6 in = 6 * 0.0277778
6in = 0.1666668 yards
Width = 8 feet
Length = 6ft
LW = 48ft²
To yards;
1 ft = 0.333333yd
48 ft = 48(0.333333)
48 ft^ 2 = 15.999984yd^2
Volume = 15.999984 * 0.1666668
Volume = 2.6667 yd^3
Hence she will need 2.6667yd^3 concrete
Find all the real square roots of -49
Answer:
-7
Step-by-step explanation:
Answer:
7i
Step-by-step explanation:
the square root of 49 is 7
i equals -1
7 squared times -1 equals -49
xoxo,your highness...16. Adam uses a microscope to observe insects in science class. The
microscope enlarges objects to 100 times their actual size. Find the length of
each insect as seen in the microscope.
A=
cm
(Type a whole number or a decimal.)
Answer:
A= 0.5, B=2.2, C=0.12, D=.0.9.
Step-by-step explanation:
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
C. Not likely, recurring debt is higher than what is allowed.
edge 2021
Mandy's approval based on her debt - to - income ratio is;
C: Not likely, recurring debt is higher than what is allowed.
What is Debt to income ratio?Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.
Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67
Her monthly debt servicing = $265 + $120 =$385
Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.
Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.
Read more about debt - to - income ratio at; https://brainly.com/question/24814852
If a number is doubled the result is sixty
Answer:
30
Step-by-step explanation:
30x2=60
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
Please help me answer this question will give Brainlst!:) I
Answer:
B, E, and F
Step-by-step explanation:
Functions that are linear form a straight line when graphed.
Answer:
B,E,F
Step-by-step explanation:
A linear function follows the formula of...
y = mx + b
So don't get tripped up by exponents (letter c and d)
C is a quadratic and D is an exponential function
and...
A is a parabola
E, might trip some people up but communitive property is "at hand", the equation does (a + x) is the same as (x + a) ( <--- for example)
*communitive property is only seen in multiplication and addition
F is where you have to use the distributive property, distribute the 5 to the x and the 0.6
Formulas:
Linear: y = mx + b
Quadratic: y = x^2
Exponential: y = b^x
Parabola: y = 1/x
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
i put my age as 98 years old
Answer:
grandpa
Step-by-step explanation:
love u grandpa
I CAN GIVE BRAINLIEST!!!!!!
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?
Answer:
Your answer is 10 cause 100 divided by 10 is 10
Step-by-step explanation:
What is the solution set for 2x – (x + 5) < 3x – 9 ?
Answer:
x > 2
Step-by-step explanation:
x - 5 < 3x - 9
x - 5 + 5 < 3x - 9 + 5
x < 3x - 4
x - 3x < 3x - 4 - 3x
-2x < -4
(-2x)(-1) > (-4)(-1)
2x > 4
2x/2 > 4/2
x > 2
Answer:
x > 2.
The solution in interval notation is (2, ∞).
Step-by-step explanation:
2x - (x + 5) < 3x - 9
2x - x - 5 < 3x - 9
2x - x - 3x < -9 + 5
-2x < -4
Divide both sides by -2
x > 2 (Note that the sign flips because we are dividing by a negative)
Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?
4:3
Answer: 12:9
Step-by-step explanation:
He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9
And it is also 12:9 is because they ask milk chocolate TO almond chocolate .
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4