Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
All you have to do is divide the t on both sides and you'll get...
[tex]r=\frac{d}{t}[/tex]
Write the function in standard form.
f(x) = - 3(x - 7)2 + 15
Answer:
The answer is f ( x ) = − 6 x + 57
Step-by-step explanation:
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.) .0074 (b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding? (Round your answer to two decimal places.) What is the standard deviation of the number of cars he would expect to watch? (Round your answer to two decimal places.)
Answer:
a
[tex]G = 0.007523 [/tex]
b
The number of cars the highway patrol officer would watch before a car that is seen is [tex]E(X) = 1.6027 [/tex]
The standard deviation is [tex]s = 0.9829 [/tex]
gg
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 71.5 \ miles/hour[/tex]
The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]
The speed limit is [tex] x = 70 \ miles /hour[/tex]
Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as
[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]
Here
[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]
So
=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]
From the z-table
[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]
So
[tex] p = P(X > 70) = 0.62392 [/tex]
Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as
[tex]q = 1 - p[/tex]
=> [tex]q = 1 - 0.62392 [/tex]
=> [tex]q = 0.37608 [/tex]
Generally the probability of getting 5 cars that are not speeding is mathematically represented as
[tex]G = q^5[/tex]
=> [tex]G = (0.37608)^5[/tex]
=> [tex]G = 0.007523 [/tex]
Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as
[tex]E(X) = \frac{1}{p}[/tex]
=> [tex]E(X) = \frac{1}{0.62392}[/tex]
=> [tex]E(X) = 1.6027 [/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]
=> [tex]s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]
=> [tex]s = 0.9829 [/tex]
The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.
The speed limit on this stretch of the freeway is 70 miles/hour.
Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;
[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]
From the z-table
[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]
Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be
q = 1 - p
q = 1 - 0.62392
q = 0.37608
Generally, the probability of getting cars that are not speeding will be
G = q⁵
G = 0.37608⁵
G = 0.007523
The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be
[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]
The standard deviation will be
[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram
Answer:43.2
Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2
How is the Remainder Theorem related to the process of synthetic division?
Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
Solve the algebraic equation
11 = 3 - 7x
Answer:
-8/7 =x
Step-by-step explanation:
11 = 3 - 7x
Subtract 3 from each side
11-3 = 3-7x-3
8 = -7x
Divide each side by -7
8/-7 = -7x/-7
-8/7 =x
Answer:
x= -8/7
Step-by-step explanation:
1. subtract 3 from both sides
2. divide both sides by 7 to isolate x
3. multiply both sides by -1 so x can become positive
How to write Eight more than four times a number is -12 as an equation
Step-by-step explanation:
4x +8=-12 is the answer
Which One Doesn't Belong:
A. 1 + 1/2
B. 6/4
C.3/4
D.30/20
Answer:
30/20
Step-by-step explanation:
Write the
slope-intercept form
of the equation of the
line described:
Perpendicular to y=x+4 and passes through the point (2,2)
Answer:
y=-1x+4
Step-by-step explanation:
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation:
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 4 1/2
Answer: 50 mins?
Step-by-step explanation: 2 1/4 divided by 4 1/2 =.50
how many inches smaller is a 13.26 inch worm than a 14.13 inch worm
How to Solve this??! 6x-2=x+13
Answer:
x=3
Step-by-step explanation:
We are given the equation, 6x-2=x+13.
1. 6x=x+15
2. 5x=15
3. x=3
Hope this helps! Good luck on your assignment!
Answer: x=3
Step-by-step explanation:
6x-2=x+13
First get both x’s on one side
We are going to subtract x from both sides
5x-2=13
Now we want to get 5x alone
We are going to add 2 to both sides
5x=15
Now we want to get x alone
We are going to divide by 5
x=3
HELP PLEASEE EASY QUESTION
Which statements are true about the polynomial function?
f(x)=x3−x2−4x+4
Select each correct answer.
f(x)=0 when x=−1 .
f(−1)=0
(x−1) is a factor of f(x) .
f(x) divided by (x−1) has a remainder of 0.
Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
Learn more here: https://brainly.com/question/18820029
A farmer wants to set up a pigpen using 40ft of fence to enclose a rectangular area of 51 square feet. Find the dimensions of the pigpen.
Answer:
The sides of the pigpen are 3 by 17
Step-by-step explanation:
Perimeter of pigpen => 2x + 2y = 40
Area of pigpen => xy = 51 (this is assuming x = length, and y = width)
Let's isolate "y" for the first equation;
2x + 2y = 40
2(x + y) = 40
x + y = 20
y = 20 - x
xy = x(20 - x) = 51 = 51
20x - x^2 = 51
x^2 - 20x + 51 = 0
According to the quadratic equation =>
x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17
x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3
The dimensions of the pigpen are actually 17 by 3
Proof: 17(3)= 51, 2(17) + 2(3) = 40
What is the equivalent of 7(7q+5)
Answer:
14q + 35
Step-by-step explanation:
Step 1: Write expression
7(7q + 5)
Step 2: Distribute 7 to each term
14q + 35
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
what is the tenth term in the sequence 25, 43, 61, 79, 97,....? a)187, b)151, c)133, d)115
Answer:
The tenth term would be: 187
Step-by-step explanation:
Best to make a table and apply the rule being used in order to find the pattern. The rule in this case is:
25 --- 43 --- 61 --- 79 --- 97--- ___ --- ___ --- ___ and so on
First we must find how 25 gets to 43, 61 to 79, and so on.
25 + 18 = 43
43 + 18 = 61
61 + 18 = 79
97 + 18 = 115
And you may continue this till you get to the tenth term!
6) 115
7) 133
8) 151
9) 169
10) 187
This is your answer!
A)
Answer:
A.187
Step-by-step explanation:
On average, Joanne writes
9 emails per day. How long
will it take Joanne to write
279 emails?
Answer:
It will take 31 days (4 weeks and 3 days) to write 279 emails
Step-by-step explanation:
279 emails ÷ 9 emails per day = 31 total days to write 279 emails
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It includes the product, research, marketing, and accessibility costs. You also know that it equals the marketing expenses per month divided by the number of new customers per month.
You have determined that two certain groups of customers are the largest groups of buyers. You want to know which group will be more profitable to target in terms of marketing. You check the company’s big data and find that the marketing expense per month for targeting the first group is $30,000, while the second group requires $60,000. You estimate that this marketing campaign will be able to attract 1,000 new customers for demographic group 1 and 1,500 for demographic group 2.
A B C
1 Marketing Expenses Number of Customer
for Targeting Customers Customers Acquisition Cost
2
What is the Customer Acquisition Cost for each customer in demographic group 1?
a. $50.
b. $40.
c. $30.
d. $60.
What is the Customer Acquisition Cost for Group 2?
a. $80.
b. $40.
c. $60.
d. $100.
Answer:
The Customer Acquisition Cost for each customer in demographic group 1
The correct option is c
The Customer Acquisition Cost for Group 2
The correct option is b
Step-by-step explanation:
From the question we are told that
The marketing expenses per month for targeting the first group is [tex]E = \$ 30,000[/tex]
The marketing expenses per month for targeting the second group is [tex]F = \$ 60,000[/tex]
The number of customers for the demography of group 1 that will be attracted is N = 1000
The number of customers for the demography of group 2 that will be attracted is M = 1500
Generally the customer acquisition cost for group 1 is
[tex]K = \frac{E}{ N}[/tex]
=> [tex]K = \frac{30000}{ 1000}[/tex]
=> [tex]K = \$ 30 [/tex]
Generally the customer acquisition cost for group 2 is
[tex]Z = \frac{F}{ M}[/tex]
=> [tex]Z = \frac{60000}{ 1500}[/tex]
=> [tex]Z = \$ 40 [/tex]
Solve.
(5a^2 + 3) (4a^2 + 3)
Answer:
I think its a... carrot
Answer:
204+272+9
Step-by-step explanation:
Question 3: If Eli’s odds of winning a game is 3:1, what is Eli’s probability of winning?
Answer:
25% chance of winning.
Step-by-step explanation:
15 less than a number is equal to 12
Answer:
Step-by-step explanation:
x - 15 = 12
x = 27
I’m just testing to see how long it takes for someone to answer. Please answer!!!
Answer:
Um, hi...do you have a question at all??
Step-by-step explanation:
Simplify 3-8 divided by 3-2
Answer:
-5
Step-by-step explanation:
[tex] \frac{3 - 8}{3 - 2} [/tex]
[tex] \frac{ - 5}{1} [/tex]
[tex] - 5[/tex]
What is The opposite of -4
Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?
Answer:
1
Step-by-step explanation:
Answer:
3t + 5 = 32
and
3t+ 2 = 20
Step-by-step explanation:
i got it right :)
True or false the ordered pair (3,28) is a solution to the equation 3x-2y=-8
Answer:
true.................................
HELP ASAP!!!! simplify 3^2-4/5
Answer:
9-4/5
5/5 = 1
Step-by-step explanation:
Answer:
1
9-4/5 is equal to 5/5 which is equal to 1
If the tax rate is 7%, what is the tax on a $60 stuffed animal?
Answer:
$4.20
nice
Step-by-step explanation:
