The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes.
A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?
Answers
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]
In point a:
so, pdf of x =
[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]
In point b:
To find
[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]
In point c:
[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]
In point d:
[tex]\to P(95< x< 110)[/tex]
[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]
Related Questions
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answers
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
2^14=16,384 use this information to work out 2^15
Answers
Answer:
32768
Brainiest plz :)
4. What's the least common multiple of each group of numbers?
a. 5 and 6
b. 2 and 9
C. 6 and 8
d. 2,5, and 6
Answers
Answer:
5 and 6: 30
2 and 9: 18
6 and 8: 48
2, 5, and 6: 30
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
Answers
Answer:
22
Step-by-step explanation:
How much is 78 divided by 4 ?
Answers
Answer:
19.5 my bro!
Step-by-step explanation:
Answer:
19.5 just put it in the calculator
The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B
Answers
Answer:
The coordinates of B are (5,2).
Step-by-step explanation:
Given that,
The midpoint of AB is M (4,-2).
The coordinates of A are (3,-6)
We need to find the coordinates of B. Let the coordinates of B are (x,y).
The mid point is given by :
[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(4,-2)=(\dfrac{3+x}{2},\dfrac{y-6}{2})\\\\\dfrac{3+x}{2}=4\ \text{and}\ \dfrac{y-6}{2}=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2[/tex]
So, the coordinates of B are (5,2).
The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm?
Answers
Answer:
The area is 90 sq. cm
Step-by-step explanation:
Given
The variation can be represented as:
[tex]A\ \alpha\ l * w[/tex]
Area = 60, when l = 4 and w = 3
Required
Find Area, when l = 6 and w = 3
Represent the variation as an equation
[tex]A = k(l * w)[/tex]
Where k is the constant of variation.
Substitute 60 for A, 4 for l and 3 for w
[tex]60 = k * (4 * 3)[/tex]
[tex]60 = k * 12[/tex]
Make k the subject
[tex]\frac{60}{12} = k[/tex]
[tex]5=k[/tex]
[tex]k=5[/tex]
To get the value of Area when l = 6 and w = 3.
Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]
[tex]A = 5 * 6 * 3[/tex]
[tex]A = 90[/tex]
The area is 90 sq. cm
i put jericho but it’s wrong so i’m not sure
Answers
=================================================================
Explanation:
This is because the value -16 is closest to 0, which represents sea level.
I recommend drawing out a vertical number line. Positive numbers are above 0, to indicate elevations above sea level. Negative numbers represent elevations below sea level.
The diagram is shown below. The diagram is not to scale because the red tickmarks shouldn't be equally spaced out; however, the order is correct, and that's all we need to worry about.
Note how -16 is the highest of the four choices, which makes it the closest to sea level. Also note how as you move further down, the negative values get larger in absolute value. It might be helpful to think of a thermometer.
puzzle times what kind of cheese comes with a house
Answers
Answer:
WHAT DOES TGAT EVEN MEAN
Step-by-step explanation:
Answer:
Step-by-step explanation:
Definition: This is a number whose value we are trying to figure out. It is often represented by a letter or
some other symbol.
Answers
Answer:
deed
Step-by-step explanation:
solve the formula for x
Gx +Hy=J
Answers
Answer:
x = [tex]\frac{J-Hy}{G}[/tex]
Step-by-step explanation:
This question is from the topic subject of formula. It implies expressing x in terms of G, H y and J.
Given that: Gx + Hy = J
Subtract Hy from both sides to have;
Gx + Hy - Hy = J - Hy
⇒ Gx = J - Hy
Then divide both sides by G, so that we have;
x = [tex]\frac{J-Hy}{G}[/tex]
Therefore,
x = [tex]\frac{J-Hy}{G}[/tex]
Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
Answers
9514 1404 393
Answer:
8144Step-by-step explanation:
Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."
So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.
w = 112 +8t
176 = 112 + 8t
64 = 8t . . . . . . . subtract 112
8 = t . . . . . . . . . divide by 8
The input for an output of 176 is 8.
__
Ordered pairs are always written as ...
(input, output)
So, (4, 144) means the output is 144 for an input of 4.
Answer:
8
144
Step-by-step explanation:
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°
Answers
Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.
Step-by-step explanation:
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answers
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
Help plz I don’t know the answer!!
Answers
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
choose the point slope form of the equation
Answers
Answer:
Step-by-step explanation:
y+3=1/2(x-6)
For which equation is x=5 a solution?
2+x=3
2 plus x is equal to 3
3x=15
3 x is equal to 15
x2=10
, x over 2, is equal to 10
x−7=12
x minus 7 is equal to 12
Answers
By stips please ........
Answers
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2
Answers
Answer:
70-14=56 168-56=112
Step-by-step explanation:
Select the correct answer.
Which function has an inverse function?
OA. F(x) = |x-4|+ 1
OB. F(x) = 25x^2+70x+49
OC. F(x) = x^4
OD. F(x) = x+3/7
Answers
In the given functions, the function f(x) = x+3/7 is a inverse function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function should be bijective function ( one-to-one and onto) to be a inverse function.
f(x)=|x-4|+1
It is absolute function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [1,∞)
So the function f(x)=|x-4|+1 is not inverse.
f(x) = 25x²+70x+49
It is quadratic function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
So the function f(x) = 25x²+70x+49 is not inverse.
f(x) =x⁴
It is polynomial function with even degree. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
F(x) = x+3/7
It is linear function. one-to-one and onto
Domain: All real (-∞,∞)
Range: All real (-∞,∞)
F(x) = x+3/7 is a inverse function.
Hence, in the given functions, the function f(x) = x+3/7 is a inverse function.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
An example of an irrational number is
O A. V16
B. V25
C V36
O D. V47
Answers
Answer:
i think b is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
from what I gathered, the V is supposed to be a square root. if this is the case, then D is the only answer that does not produce a rational number. V16 is equal to 4, V25 is equal to 5, and V36 is equal to 6.
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answers
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Answers
Answer:
[tex]area=\frac{85}{4}feet^{2}[/tex]
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]
[tex]2(length+width)=perimeter[/tex]
Substitute,
[tex]2(5+width)=18\frac{1}{2}[/tex]
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
[tex]2(5+width)=\frac{37}{2}[/tex]
Inverse operations,
[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
[tex]length=5\\\\width = \frac{17}{4}[/tex]
[tex]length*width=area[/tex]
Substitute,
[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]
[tex]area=\frac{85}{4}feet^{2}[/tex]
How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?
Answers
Answer:
10 pieces
Step-by-step explanation:
7 1/2 / 3/4 =
7.5 / .75 =
10 pieces
Hope that helps!
238% of what number is 47,600?
Answers
Answer:
I think 200
Step-by-step explanation:
47600/238=200
200*238=47600
Answer:
the answer is actually 20000
Step-by-step explanation:
238% x =47,600
2.38x=47,600
47,600/2.38= 20000
Find the equation of a line that passes through the points (-2, -1) and (0, -5)
Answers
Answer:
Step-by-step explanation:
slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2
y+5 = -2(x-0)
y = -2x - 5
Answer:
-2x - 5
Step-by-step explanation:
pls help pls pls pls help
Answers
pls help him Step-by-step explanation:
1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?
Answers
Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
A puddle originally contained 7.5 gallons of water. After a hot day, only 6 gallons of water remain. What is the percent decrease? Enter your answer in the box.
Answers
Answer:
20 percent
Step-by-step explanation:
7.5 gallons - 6 gallons = 1.5 gallons
[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %
Answer:
20%
Step-by-step explanation:
First, find how much decrease there was: 7.5 - 6 = 1.5
This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:
1.5 ÷ 7.5 = 0.20
0.20 = 20% decrease
What is the standard form equation 9(g-5h)
Answers
Answer:
9g - 45h
Step-by-step explanation:
9 (g - 5h)
= 9g - 45h