Answer:
10
Step-by-step explanation:
Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
Find the area of the parallelogram below.
12
6
A=
units squared
Step-by-step explanation:
height (h) = 12
base (b) = 6
Area of parallelogram
= b * h
= 6 * 12
= 72 units squared.
Hope it will help :)❤
According to the central limit theorem: a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large b. The probability of a sample standard deviation will converge towards the population variance as the sample standard deviation increases c. The median of a sample from a population that is normally
Answer:
a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
So, according to the above text, the correct answer is given by option a, that is, if the sample is large, the sampling distribution of the sample mean will be approximately normal, that is, trend towards a normal distribution.
This graph represents a linear function.
Enter an equation in the form y=mx+b that represents the function
described by the graph.
*Note: Uses only numbers and symbols, no spaces. If there is a fraction,
10
1
make it improper and use parentheses (ie. y =
72+ z will be typed
as y=(10/7)x+(1/2)]
Type your answer
Answer:
y=1x-3
Step-by-step explanation:
2/5 x 10/22 in simplest form
Answer:
2/11
Step-by-step explanation:
You would have to do 2 times 10 which equals 20. Than 5 times 22 which is 110. No to reduce you have to find the Greatest Common faction which is 10. So 20 divided by 10 equals 2 and 110 divided by 10 is 11.
HELP ASAP ILL GIVE BRAINLIEST
Write an expression for
The product of eleven times a number less than 12
11(n - 12)
12n - 11
11n - 12
12 - 11n
Answer:
11n - 12
Step-by-step explanation:
The answers for the March 22 Recording Check
1. Solve the following one-step equation.
x+5=−7
x = -12 This is the correct answer
x = 2
2. An expression does NOT have an equal sign
The answer would be True
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a female will win the iPad
and a male win the flat
screen?
7.SP.8
Solve 3(4x + 5) = 33
You may use the flowchart to help you if you wish.
Answer:
This is so simple omg
Expand ”4x+5” out so...
12x + 15 = 33
12x = 33 - 15 = 18
12x = 18
x = 1.5
Answer:
Step-by-step explanation:
Which of the following is equivalent to
X^2 - 8x - 7 =0
A.) (x-8)^2 = 15
B.) (x-4)^2 = 15
C.) (x-8)^2 = 23
D.) (x-4)^2 = 23
Answer: it will be D
Step-by-step explanation: if You graph them you will get the same coordinate plates
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=19°, and IJ = 5 feet. Find the length of JH to the nearest tenth of a foot.
Answer:14.5
Step-by-step explanation:
could someone help me out ill mark brainliest
Step-by-step explanation:
1. The first graph has a negative slope (increases to the left) and has a y-intercept of 3. So, the equation of the line would be y = -2x + 3.
2. The second graph has a positive slope (increases to the right) and has a y-intercept of -3. Therefore, the equation of the line would be y = 2x - 3.
3. The third graph has a negative slope and has a y-intercept of -3. So, we can say that the equation of the line would be y = -2x - 3.
4. The fourth graph has a positive slope and a y-intercept of 3. Therefore, the equation of the line would be y = 2x + 3.
Find the slope of the line that goes through the
(-4,6) and (2.1)
Answer:
-5/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(2-(-4))
m=-5/(2+4)
m=-5/6
Describe the zeros of the graphed function.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
Answer:
A
Step-by-step explanation:
it intersects x axis at three points.
if my answer helps please mark as brainliest.
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
5(5)
Step-by-step explanation:
Answer:
50.5 ft squared
Step-by-step explanation:
Find the area of the region enclosed by the graphs of the functions
f(x)=x, g(x)=x^3
by partitioning the x- axis.
(Use symbolic notation and fractions where needed.)
Answer:
[tex]\displaystyle A = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality PropertiesAlgebra I
Terms/CoefficientsFunctionsFunction NotationGraphingCalculus
Area - Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
*Note:
Remember that for the Area of a Region, it is top function minus bottom function.
Also remember that finding area and evaluating are two different things.
Step 1: Define
f(x) = x
g(x) = x³
Bounded (Partitioned) by x-axis
Step 2: Identify Bounds of Integration
Find where the functions intersect (x-values) to determine the bounds of integration.
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
1st Integral: [-1, 0]
2nd Integral: [0, 1]
Step 3: Find Area of Region
Integration.
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^0_{-1} {[x^3 - x]} \, dx + \int\limits^1_0 {[x - x^3]} \, dx[/tex][Area] Rewrite Integrals [Integration Property - Subtraction]: [tex]\displaystyle A = (\int\limits^0_{-1} {x^3} \, dx - \int\limits^0_{-1} {x} \, dx) + (\int\limits^1_0 {x} \, dx - \int\limits^1_0 {x^3} \, dx)[/tex][Area] [Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = [\frac{x^4}{4} \bigg|\limits^0_{-1} - (\frac{x^2}{2}) \bigg|\limits^0_{-1}]+ [\frac{x^2}{2} \bigg|\limits^1_0 - (\frac{x^4}{4}) \bigg|\limits^1_0][/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = [\frac{-1}{4} - (\frac{-1}{2})] + [\frac{1}{2} - \frac{1}{4}][/tex][Area] [Brackets] Add/Subtract: [tex]\displaystyle A = \frac{1}{4} + \frac{1}{4}[/tex][Area] Add: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
A large restaurant chain is curious what proportion of their customers in a given day are new customers. They
are thinking of taking a sample of either n = 50 or nº= 100 customers and building a one-sample z interval for
a proportion using the data from the sample.
Answer:
It is a false statement
The correct statement is -The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
Step-by-step explanation:
P.S - The exact question is -
Given - A large restaurant chain is curious what proportion of their
customers in a given day are new customers. They are thinking
of taking a sample of either n = 50 or nº= 100 customers and
building a one-sample z interval for a proportion using the data
from the sample.
To find - The margin of error from the smaller sample will be 2 times
the margin of error from the larger sample.
Proof -
We know that
E ∝ [tex]\frac{1}{\sqrt{n} }[/tex]
For smaller margin, E₁ = [tex]\frac{1}{\sqrt{50} }[/tex]
For larger margin , E₂ = [tex]\frac{1}{\sqrt{100} }[/tex]
Now,
[tex]\frac{E_{1} }{E_{2} } = \frac{\sqrt{100} }{\sqrt{50} } = \sqrt{\frac{100}{50} } = \sqrt{2}\\[/tex]
⇒E₁ = [tex]\sqrt{2}[/tex] E₂
⇒The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
So,
It is a false statement.
DUE soon! For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
See I don't know if you can choose whichever parent function to start off.
Answer and Step-by-step explanation:
The parent function is just f(x) = x.
See, the transformations equation of a parent function is as follows:
f(x) = a(x - h) + k
Where:
a is the scaling factor,
h is the horizontal (left and right) changing factor, and
k is the vertical (up and down) changing factor.
So, now we apply the transformations to this parent function by writing it in function g(x).
Vertically stretch by factor of 2: g(x) = 2x
Shifted up 5 units: g(x) = 2x + 5
Shifted left 4 units: g(x) = 2(x - 4) + 5
g(x) = 2(x - 4) + 5 is the function.
This function accomplishes these transformation by having 2 be the scale factor, 4 be the horizontal shift, and 5 be the the vertical shift.
#teamtrees #PAW (Plant And Water)
Find the length of DC.
Answer:
sqart(89) in
Step-by-step explanation:
As triangle ABC is a right triangle, so sqrt(5^2 + 8^2) = sqrt(89) approximately 9.43 in.
Which polynomial is represented by the algebra tiles?
x2 – x – 4
x2 – x + 4
3x2 – 5x + 8
3x2 – 5x – 8
Answer:
Its the 2nd option
Step-by-step explanation:
i took the quiz
A parallelogram has an area of 329.4 square inches and a height of 18 inches. What is the length of the base?
Answer:
329.4 / 18
18.3
Find the area of each of the following
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
How many 0.5 ribbons will be cut from a 8 meter
Answer:
16 ribbons
Step-by-step explanation:
Given
[tex]Length = 8\ meter[/tex]
[tex]Ribbon\ Length = 0.5\ meter[/tex]
Required
Determine the number of ribbons
This is calculated as:
[tex]n = \frac{Length}{Ribbon\ Length}[/tex]
[tex]n = \frac{8m}{0.5m}[/tex]
[tex]n = \frac{8}{0.5}[/tex]
[tex]n = 16[/tex]
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=53°, and SQ = 93 feet. Find the length of RS to the nearest tenth of a foot.
Answer 70.1
Step-by-step explanation:
what is the measure please help :)
Answer:
40°
Step-by-step explanation:
[tex] m\angle A + m\angle B = 180\degree [/tex]
(Linear pair angles)
[tex] 140\degree + m\angle B = 180\degree [/tex]
[tex] m\angle B = 180\degree -140\degree [/tex]
[tex] m\angle B = 40\degree [/tex]
The question is attached in the picture below. (University level)
Answer:
nope
Step-by-step explanation:
Apply dot product which must = 0 for orthogonality.
In this case,
-(3)(2) + (-2)(-2) + (-3)(1) + (1)(4) = -1.
In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is the fraction of the students who bought their lunches got a slice of pizza. Write your fraction in simplest form.
3/7x84=36
Ans: 9/36=1/4
I need help on this question please and thank you that would be great
Answer:
w independant a dependant
Step-by-step explanation:
help please help please help please
Answer:
i wish i could help but im confused also
Step-by-step explanation:
...
Answer:
Step-by-step explanation:
can you help me pleaseee
A rectangle has vertices (–1, 1), (–4, 1), (–1, 3), and (–4, 3). If the rectangle is reflected over the y-axis, what algebraic rule can be used to find each of the new vertices?
Select one:
(x,y)→(−x,−y)
(x,y)→(–y,–x)
(x,y)→(y,−x)
(x,y)→(−x,y)
ASAP HW HELP
if you don’t know answer don’t even comment
Answer:
y=1/4x-3
Step-by-step explanation:
can someone help me with this please and I also need the steps thanks
Answer:
16.4
Step-by-step explanation:
For the 66° angle, the side with length 15 is the opposite leg.
The hypotenuse is x.
The trig ratio that relates the opposite leg to the hypotenuse is the sine.
sin A = opp/hyp
sin 66° = 15/x
x * sin 66° = 15
x = 15/sin 66°
x = 16.4