Answer:
Step-by-step explanation:
Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle’s battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 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?
Answer:
a.) f(x) = [tex]\frac{1}{30}[/tex] where 90 < x < 120
b.) [tex]\frac{2}{3}[/tex]
c.) [tex]\frac{2}{3}[/tex]
d.) [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Let
X be a uniform random variable that denotes the actual charging time of battery.
Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.
⇒X ≈ ∪ ( 90, 120 )
a.)
Probability density function , f (x) = [tex]\frac{1}{120 - 90} = \frac{1}{30}[/tex] where 90 < x < 120
b.)
P(x < 110) = [tex]\int\limits^{110}_{90} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
c.)
P(x > 100 ) = [tex]\int\limits^{120}_{100} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
d.)
P(95 < x< 110) = [tex]\int\limits^{110}_{95} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}[/tex]
Plz, I need help! Give out 5 stars and thank!
4 in the 42,672.
4 in the 37,426 isn't greater since 4 on 42. is 10 thousands than 37,426
If Dan had 20 packs of gum and he didn't have any this week and next week he had 10 packs left. What happened to the other 10 packs of gum?
Answer:
He ate it or he may have ate some in some packs then refilled the other packs.
Step-by-step explanation:
Answer:
Someone else ate them!
how do u make school go by faster omxfg
Answer:
1. think about something else
2. talk to people
3. do something that you want to do
Answer:
1.) Snacks! Eat a snack during your most boring class, if you can.
2.) Daydream. Days go by for me so fast, as I'm a huge daydreamer, imagining my perfect life.
3.) Doodle. I have a friend who doodles all the time during class.
4.) Read.
5.) Music.
6.) Bathroom.
7.) Do homework.
(Brainliest please! :D)
sarah borrows $3,145 at a rate of 4 1/8% compounded annually. how much interest will she owe after 4.5 years
Using compound interest, the total amount accrued, principal plus interest, with compound interest on a principal of $3,145.00 at a rate of 4.125% per year compounded 1 times per year over 4.5 years is $3,772.40.
Define compound interest?Interest that is accrued on both principal and previous interest is known as compound interest. As a result, it is often referred to as "interest over the interest". Here, the principal is increased by the interest that has already accrued, and the resulting sum serves as the new principal for the subsequent period. i.e., compound interest is equal to interest on the principal plus interest on interest already paid.
First, convert R as a percent to r as a decimal.
r = R/100
r = 4.125/100
r = 0.04125 rate per year,
Then solve the equation for A
A = P [tex](1 + r/n)^{nt}[/tex]
A = 3,145.00 [tex](1 + 0.04125)^{4.5}[/tex]
A = $3,772.40
The total amount accrued, principal plus interest, with compound interest on a principal of $3,145.00 at a rate of 4.125% per year compounded 1 times per year over 4.5 years is $3,772.40.
To know more about compound interest, visit:
https://brainly.com/question/14295570
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The area of a rectangle is 48 m^2 the length is (x+2) and width is (x). What is the value of x?
Answer:
Please find attached pdf
Step-by-step explanation:
HELPPP!!! WILL MARK BRAINLIEST OF RIGHT!!!
y=
Answer:
y = (x + 3)² - 1
Step-by-step explanation:
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
what is 9 1/2 multiplied by 9 /5/2 in the simplest radical form
A certain cell phone advertises a mean battery life of 32 hours. Suppose the battery life of these phones follows a Normal distribution with standard deviation 2.5 hours. If 5 of these phones are randomly selected from the factory, then there is about a 95% probability that the sample mean will fall in which interval?
Find the z-table here.
7.5–56.5 hours
21.0–43.0 hours
27.1–36.9 hours
29.8–34.2 hours
31.0–33.0 hours
Answer:
29.8–34.2 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
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.
Population:
Mean of 32, standard deviation of 2.5.
Sample:
Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]
There is about a 95% probability that the sample mean will fall in which interval?
Within 2 standard deviations of the mean. So
32 - 2*1.1 = 32 - 2.2 = 29.8
32 + 2*1.1 = 32 + 2.2 = 34.2 hours
What is 5 x 5 is it 25 or 35
Answer:
25 7 x 5 is 35
Step-by-step explanation:
hope this helps have a good rest of your afternoon :) ❤
Answer:
5 times 5 is 25.
Step-by-step explanation:
Hope this helps you dude
s h r e k (in a maid outfit)
PLEASE ANSWER ITS SO EASY
Four friends order a 12" pizza to share. If
they share the pizza equally, how many
square inches would each person get?
*round to the nearest inch*
Step-by-step explanation:
they can all get 3 slices of pizza
125% of what number is 20
Answer:
16
Step-by-step explanation:
We can rewrite this as 125/100 · x = 20
This works because a percentage is out of 100, which means 125% is 125/100. "Of" usually means multiplied, and "what number" is the variable.
Now we can simplify this
125/100 · x = 20
5/4 · x = 20
x = 16
Given a sphere with a diameter of 4 inches, what is the volume of the sphere.
Write it out.
Answer:
Using the formulas
V=4
3πr3
d=2r
Solving forV
V=1
6πd3=1
6·π·43≈33.51032in³
Rose wants to buy a toy that costs $14. If she gives the cashier $20, which equation will tell you how much change Rose gets back?
Answer:
B) x + 14 = 20
Step-by-step explanation:
The "X" is the change. And the change has to equal 20. So it would be 6 + 14, since thats the only number that equals 20.
Therefore, it is B) x + 14 = 20.
HELP PLZZZZ !!!
An international company has 26,500 employees in one country. If this represents 31.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer
Step-by-step explanation:
Mariana owed her grandmother $2.75 but was recently able to pay her back $1.25. How much does Mariana currently owe her grandmother?
Sally has 10 months to read all 60 books on the sixth grade reading list. What is the minimum rate Sally can read in order to
finish all the books in time?
OA 10 books per month
ОВ.
6 books per month
OC. 7 books per month
OD
5 books per month
Answer:
6 books per month
Step-by-step explanation:
because 6x10 equals 60
Round to the nearest tenth
Answer:
17.7
Step-by-step explanation:
[tex]a^{2} =29^{2} -23^{2} \\a=\sqrt{312} \\=17.6635[/tex]
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (x), which equation represents the
situation?
Answer:
x:y
1:15
2:30
3:45
4:60
5:75
Step-by-step explanation:
If the simple interest on $4,000 for 7 years is $1,400, then what is the interest rate?
$1400 = $4000 × 7 × r / 100
$1400 = 28000 × r / 100
$ 1400 = $ 280 × r
rate = $1400 ÷ $ 280
rate = 5
what is the repricoral of 5/6
Answer:
6/5
Step-by-step explanation:
pls brainliest
Answer: 56
Step-by-step explanation:
List the following numbers in order from least to greatest.
2, -3, 9 what is this
Answer:
-3, 2, 9Step-by-step explanation:
30% of what number is 33?
It says to find the value of X, one point is 110 and there’s two X’s
A cylinder has volume 78 cm ^3. What is the volume of a cone with the same radius and height?
Group of answer choices
26 cm ^3
39 cm ^3
156 cm ^3
234 cm: ^3
Answer:Option A -
Step-by-step explanation:
ms . Morgan plans to serve cookies at a class party each package of cookies cost $2.49 and contains 6 cookies. Ms. Morgan has $17.00 to spend. Will ms. Morgan have enough money to provide each of her 19 students with 2 cookies each ?
Answer:
No
Step-by-step explanation:
A package has 6 cookies for $2.49
Ms. Morgan has 19 students. She wants to give each student 2 cookies, which means each package is enough for 3 students.
19 students × 2 cookies = 38 cookies is what you need
7 packages times $2.49 = $17.43
7 packages × 6 cookies = 42 cookies
42 cookies ÷ 19 students = 2.21 cookies for each student
Match the Key Phrases to each inequality symbol.
Less than. greater than. lessthanorequal. Greater than or equal to. Options: Below, At most, Maximum, at least, smaller than, more than, minimum, no more than, larger than, no less than
Answer:
Step-by-step explanation:
≠ = not equal to.
> = greater than.
< = less than.
≥ = greater than or equal to.
≤ = less than or equal to.
In this video I give step by step directions for translating words into inequalities.
These statements use the greater than symbol
>
More than
Exceeding
Above
Greater than
These statements use the greater than or equal symbol ≥
At least
No fewer than
minimum
top
No less than
These statements use the less than symbol
<
Fewer than
Below
Less than
These statements use the greater than or equal symbol
≤
No more than
Not above
Does not exceed
At most
Bottom
Please brainlist hope this helps <3
Find the values of x and y
An article reported that a survey of clothing worn by pedestrians killed at night in traffic accidents revealed that about 80 percent of the victims were wearing dark-colored clothing and 20 percent were wearing light-colored clothing. The conclusion drawn in the article was that it is safer to wear light-colored clothing at night.
(a) Is this conclusion justified? Explain.
(b) If your answer to part (a) is no, what other information would be needed before a final conclusion could be drawn?
Answer:
Explained below.
Step-by-step explanation:
A) We are not given a population percentage of people who wear dark or light clothes. For example, the number of people wearing dark cloths were maybe 700 and only 100 were killed.
So using the percentage of those killed to draw a conclusion is not a true representation of the reality. Thus, it is not justified to conclude that it is safer to wear light-colored clothing at night.
B) The additional information needed will be the population percentage of all pedestrians both those killed and those not killed who wore light-colored and dark colored clothing at night.