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]
Responses which are acquired after birth are called _____ responses.
Answer:
Learned
Step-by-step explanation:
I luv u!
A square rug has an area of 121 ft?. Write the side length as a square root. Then decide if the side
length is a rational number.
HELP ASAP
what is this ???? ??????????????
Answer:
I READY
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-3.x - 6+(-1)
Need help pls will give crown
2. A bag of dog food weighs 40 lb. By weight, 16% of the ingredients is turkey. Find the weight of turkey in the dog food.
a) Show the work to set up the problem. You may either use the percent equation, set up a proportion, or use a ratio table but SHOW YOUR WORK.
b) What is the weight of the turkey in the dog food according to your work in part a? Solve and show your work.
Answer: 6.4 is ur answer
Step-by-step explanation:
U need to multiply 40 and 16
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
yeah ok
what is the missing number in 100+
blank=1,0000
Answer:
9900
Step-by-step explanation:
Answer:
0.01
Step-by-step explanation:
What is the measure of
Angles are not necessarily drawn to scale.
I hate math
x= 139°
180-41= 139°
hope this helped:)
Evaluate 32 + (6 - 2) · 4 -
6
(1 point)
(a)20
(b)23
(c)50
(d)26
Answer:
Its D because I did the math
A band will sell CDs of their music at their concert for $5.00 each. The band ordered 300 CDs at a cost of $1.25 each. Which inequality represents the number of CDs, n, the band needs to sell to make a profit of at least $500?
1. x is greater to or equal to 99
2. x is greater to or equal to 100
3. x is greater to or equal to 133
4. or x is greater to or equal to 134
Given:
Selling price of each CD = $5.00
Cost price of each CD = $1.25
Number of CDs ordered = 300
Profit must be at least $500.
To find:
The number of CDs needs to sell.
Solution:
Let n be the number of CDs needs to sell.
Selling price of each CD = $5.00
Selling price of x CDs = $5n
Cost price of each CD = $1.25
Cost price of 300 CDs = 300×$1.25
= $375
We know that,
[tex]Profit=S.P.-C.P.[/tex]
[tex]Profit=5n-375[/tex]
Profit must be at least $500. it means profit must be greater than or equal to $500.
[tex]5n-375\geq 500[/tex]
[tex]5n\geq 500+375[/tex]
[tex]n\geq \dfrac{875}{5}[/tex]
[tex]n\geq 175[/tex]
All options are incorrect. The required inequality is n is greater than or equal to 175.
Help&EXPLAIN
Don’t use for points or I’ll take it back and report
Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.
itis 8 cause we added
Complete arithmetic sequence?
92, ___, ___ ,___, 80
Answer:
433333333333
Step-by-step explanation:
The complete arithmetic sequence will be 92, 89, 86, 83, and 80.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term (a₁) is 92 and the fifth term (a₅) is 80.
Then the common difference between the terms will be given as,
a₅ = a₁ + (5 - 1)d
80 = 92 + 4d
-12 = 4d
d = -3
Then the missing terms will be
92, 92 - 3, 92 - 6, 92 - 9, and 92 - 12
92, 89, 86, 83, and 80
Thus, the complete arithmetic sequence will be 92, 89, 86, 83, and 80.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Help me with this problem
Answer:
3
Step-by-step explanation:
8 < 3 no
8 = 3 no
8 > 3 yes
so the answer is 3
~!!!!! PLEASE HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH GRADE MATH !!!!!~
QuESTION *SORRY ITS SMALL HGVCFGHJJHV*
1/4 K +1/4 M -2/3 K +5/9 M simplified
Answer:
-5/12k -11/36m
Step-by-step explanation:
26 divided by 1690 help please once again
Answer:
[tex]26 \div 1690 \\ = 0.0154[/tex]
what does 4/6 + 2/5 equal
Answer:
= 16 /15 (Decimal: 1.066667)
Step-by-step explanation:
4 /6 + 2 /5
= 4 /6 + 2 /5
= 2 /3 + 2 /5
= 10 /15 + 6 /15
= 10+6 /15
= 16 /15 (Decimal: 1.066667)
Answer:
16/15 or 1 1/15 as a mixed number
Step-by-step explanation:
w=
she suznsnsja. s
anna abs
s
sm
Answer:
-32
Step-by-step explanation:
Jacob's piggy bank has
18 quarters, 20 dimes, 24 nickels,
and 43 pennies. He chooses a coin,
does not replace it, then chooses
another. What is the probability
that he chose a dime then
a nickel?
Answer:
Step-by-step explanation:
Which ordered pair is the solution set for this system of equations?
x + y = 8
y = x - 3
Answer:
(11/2, 5/2)
Step-by-step explanation:
x+x-3=8
2x=11
x= 11/2
y= 11/2-3
y= 5/2
I need help with this so please help chicken mcnugget
Answer:
Imao
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic?
-3 and 0
-3 and 1
-1 and 3
-1 and -3
Answer:
Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula.
Step-by-step explanation:
PLEASE HELP MATH MIDTERM
Find the measure of angle A. Round only your final answer to the nearest hundredth.
Answer:
73.74 degrees
Step-by-step explanation:
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9. The mean score on the SAT mathematics test was 480 and the standard deviation was 130. The distributions of both scores are approximately bell-shaped. Round the answers to at least two decimal places.
Required:
Find the z-score for an ACT score of 26.
Answer:
The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that [tex]\mu = 25, \sigma = 5.9[/tex]
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 25}{5.9}[/tex]
[tex]Z = 0.17[/tex]
The z-score for an ACT score of 26 is 0.17.
Please help me out tysm
Answer: 1/4 s^2 or [tex]\frac{1}{4} s^{2}[/tex]
Answer please????????????????????????
Answer:
(-3,-1) -> (3,1)
Step-by-step explanation:
Reflection over the y-axis:
When we reflect a point (x,y) over the y-axis, it's y-coordinate is kept, while the x-coordinate changes signal. So
(3,-1) -> (-3,-1)
Clockwise rotation of 180º
Both coordinates of the point change signals. So
(-3,-1) -> (3,1)
Rewrite the equation using the distributive property
2(9x+4)
Answer:
18x+8
Step-by-step explanation:
distribute
2 x 9x = 18x
2 x 4 = 8
Hope This Helps!!
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $145.22. What is the first step in finding the percent markdown? Find the percent markdown.
Answer:
15% off
Step-by-step explanation:
Answer:
i need help go to my question from this brainly.com/question/25995862
Step-by-step explanation: