Velocity If a stone is dropped from a height of 350 feet, its height after t seconds is given by
s = 350 − 16t2.
Find its instantaneous velocity function.
v(t) =
Find its velocity at time t = 3.
v(3) =
Answers
See picture for math work and answer.
Related Questions
Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from the moment the driver see danger until they step on the brake pedal, can be described by the Normal model with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.
Note that this scenario is talking about a population distribution. There is no discussion of a sample or sample size. Therefore, you do not need to adjust the standard deviation that is given before using the normalcdf and invNorm commands.
a) What percent of drivers have a reaction time greater than 1.8 seconds?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
b) Describe the reaction time of the slowest 10% of all drivers? (Hint: The slower a person reacts, the higher their reaction time so this is looking at the right tail of the distribution)
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
Answers
Using the normal distribution, it is found that:
a) 4.75% of drivers have a reaction time greater than 1.8 seconds.
b) The reaction time is of at least 1.73 seconds.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
[tex]\mu = 1.5, \sigma = 0.18[/tex]
Item a:
The proportion is one subtracted by the p-value of Z when X = 1.8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.8 - 1.5}{0.18}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475 = 4.75%.
4.75% of drivers have a reaction time greater than 1.8 seconds.
Item b:
The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1.5}{0.18}[/tex]
[tex]X - 1.5 = 1.28(0.18)[/tex]
[tex]X = 1.73[/tex]
The reaction time is of at least 1.73 seconds.
More can be learned about the normal distribution at https://brainly.com/question/24663213
The probability that an event will occur is 9/10. Which of these best describes the likelihood of the event occurring?
Answers
Answer:
Likely
Step-by-step explanation:
The odds are in favor of it, but it hasn't been proven.
1) To make plaster, Kevin mixes 3 cups of water with 4 pounds of plaster powder. Complete the table.
How much water will Kevin mix with 20 pounds of powder?
Answers
Bruh this isn’t letting me submit the answer....
HELP ME ILL GIVE YOU BRAINLY IF U GET IT RIGHT AND EXPLAIN HOW PLEASE
Answers
So if that corner is split you have to make it equal 90 degrees.
90-31=59 degrees
If you want to find angle CBA you add all the angle you know so far up.
90+59=149 degrees
Triangles have to add up to 180 degree so
180-149= 31 degrees
Answer is 31 degrees
Answer:
59
Step-by-step explanation:
A is a 90 degree angle, we can see the other side is 31
so we subtract 90-31=59
can somebody please teach me how to do compound inequalities?
i don't need a certain equation to be done, i just need to know how to do it. :)
pls help!...
Answers
Answer:?
Step-by-step explanation:
Answer:
Desmos Practice Worksheetdyh.astromirasole.it › desmos-practice-worksheet
Multiplying and Dividing Polynomials Worksheet Answer Key Poly Want a ... Desmos is a graphing calculator that can be accessed through any web ... Activity: Compound Inequalities on the Number Line
yo whats 3/4 x 8/15 im simplest form
Answers
Answer:
2/5
Step-by-step explanation:
3*8=24, and 4*15=60,fraction now becomes 24/60 simplied by 12 (24/60 divide by 12 both factors) equals 2/5
The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. City C and City D are 3.15 feet apart on this map. What is the actual distance between City C and City
Answers
Answer:
300 miles
Step-by-step explanation:
200/2.1= 95.238...
95.238...*3.15=300
Hope this helps :)
The actual distance between City C and City D will be 300 miles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. Then the scale factor is given as,
Scale factor = 200 / 2.1 miles per foot
City C and City D are 3.15 feet apart on this map. Then the actual distance is given as,
Distance = 3.15 x 200 / 2.1
Distance = 1.5 x 200
Distance = 300 miles
The actual distance between City C and City D will be 300 miles.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
Can anyone solve 8,9 and 10 please
Answers
Answer:
8=90,000,000,000
9=250,000,000,000
10=360,000,000,000
= 9000000
(9) (5000)2 = 5000 x 5000
= 25000000
(10) (6000)2 = 6000 x 6000
= 36000000
How many 7 digits numbers are there?
Answers
Answer:
9000000 seven
There are 9000000 seven-digit numbers.
Step-by-step explanation:
please mark me brainliest
Answer:
9000000 seven
Step-by-step explanation:
There are 9000000 seven-digit numbers.
Answer provided by Education Point
Find the next two terms in this sequence. -900, 300,-100,_,_? Please I need help
Answers
Answer: 500
Step-by-step explanation: it increases and decrease in a pattern so -900+600= 300-600= -100+600=500
Greg wants to estimate the percentage of people who lease a car. He surveys 340 individuals and finds out that 90lease a car
Answers
Answer:
26.47%
Step-by-step explanation:
Total individual =340
Individual who lease car=90
Now,
90 out of 340 people lease car.
Fraction of people leasing car=90/340 =9/34
Percent of people leasing car=fraction *100%
=9/34 *100%
=26.47%
a square room has a floor area of "100" square feet. the height of the room is 6 feet what is the area of one wall
Answers
Answer:
Its 60
Step-by-step explanation: 10x10=100 so 10x6=60
Did that help you???
The area of one wall of the square room is 60 sq. feet.
What is the area of a square?The area of a square is the square of its side.
If the length of a side of a square is a unit, then its area is
Area = a² sq. units.
How to solve the question?In the question, we are informed that a square room has a floor area of 100 sq. feet, and its height is 6 feet.
We are asked to find the area of one wall.
The floor of the room is given a square. We let the length of the side of that square be 'a' units.
Then, its area is a² sq. units.
We are given that the area of the floor is 100 sq. feet.
So, we can write the equation as:
a² = 100 sq. feet,
or, a = 10 feet.
The height of the room is given as 6 feet.
Therefore, the area of a wall is 10*6 sq. feet = 60 sq. feet.
As the floor is rectangular in shape, with dimensions 10 and 6.
Therefore, the area of one wall of the square room is 60 sq. feet.
Learn more about the area of a square at
https://brainly.com/question/26418430
#SPJ2
IT cost $11 for 15 granola bars.
What is the unit price , un dollars per granila bar , rouned to the nearest hundredth.?
Answers
Answer:
$1.36
Step-by-step explanation:
Answer: yee yee nation
Step-by-step explanation:
22 - 3 × 6 + 5^2
A.
38
B.
139
C.
29
D.
65
Answers
Answer:
C. 29
Step-by-step explanation:
22 - 3 × 6 + 2522 - 18 + 254 + 2529
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
I'm having trouble finding the x-intercepts AND the y-intercept, could some help and explain there work?? :)))) thank you!!
f(x)= x^3 - 4x^2 - 11x + 30
Answers
Hello,
[tex]f(x)=x^3-4x^2-11x+30 \\\\f(0)=30[/tex]
so y-intercept is (0,30)
The product of the roots are -30 = 2 * 5 * -3, and the sum is 4 = 2 + 5 - 3 , so we can factorise
[tex]f(x)=x^3-4x^2-11x+30 \\\\f(x)=0 \\\\<=> x^3-4x^2-11x+30=(x+3)(x-2)(x-5)=0\\\\<=> x=-3 \ or \ x=2 \ or \ x=5[/tex]
x-intercepts are (-3,0) (2,0) and (5,0)
thanks
pls help this is super hard. i really appreciate it
Answers
Answer:
e,4,14
Step-by-step explanation:
The answer is e, 4 and 14.
Find the complement of ∠DEF.
Answers
Answer: Choice B) 14 degrees
Explanation:
Complementary angles add to 90 degrees
This means the answer we're after is 90 - (angle DEF) = 90-76 = 14
Answer is B
Complement means two angles that have the sum of 90°
90 - 76 = 14
so that would mean 14° is the correct answer
two years ago the cats tim and tom were toghether 15 years old.Now tom is 13 years old.In how many years will tim be 9 years old?
Answers
Answer:
3 years
Step-by-step explanation:
As with many age problems, you can reason it without equations. If Tom is 13 now, 2 years ago he was 11. If the total age of the two cats at that time was 15, then Tim was 15 -11 = 4.
That means Tim is now 4+2 = 6, so will be 9 in 3 years.
_____
Additional comment
If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...
x = Tim's current age; y = Tom's current age.
The sum of their ages 2 years ago was ...
(x -2) +(y -2) = 15
Tom's current age is 13, so we have y=13. Using that in the equation gives ...
x -2 +13 -2 = 15
x = 6 . . . . . . . . . . subtract 9, collect terms
That's Tim's current age, so Tim will be 9 years old in 3 years.
if f(x)=1/x and g(x) = X+4, which of the following is the graph of (gºf)(x)?
Answers
Answer:
See attached graph
Step-by-step explanation:
[tex]f(x)=\frac{1}{x}\\ \\g(x)=x+4\\\\(g\circ f)(x)=g(f(x))=g(\frac{1}{x})=\frac{1}{x}+4[/tex]
I cannot see all of the options, so I attached a graph of the correct graph for you to match up your options with.
someone help please answer asap
Answers
Answer:
[tex]g(x) = 5x^2[/tex]
Step-by-step explanation:
In the equation x^2, when x = 1, y = 1. But in g(x), when x is 1, y is 5. Since g(x) is a scaled version of x^2, we can conclude that g(x) is 5 times x^2.
Therefore, [tex]g(x) = 5x^2[/tex].
I hope this helped you.
. . .Step-by-step explanation:
Solve for h.
A=3h
Can anyone help me?
Answers
Answer:
h = 3/A
Step-by-step explanation:
A = 3h
Divide both sides by 3 to isolate h:
A/3 = 3h/3
Simplify and get
A/3 = h or h = A/3
Hope this helps!
SOMEONE PLEASE HELP ME IM GONNA FAIL
The wind force F on a sail varies jointly as the area A of the sail and the square of the wind speed w.
The force on a sail with area an area of 500 P? is 64.8 pounds when the wind speed is 18 mph. What
would be the force for a sail with an area of 250 f2 with a wind speed of 35 mph.
Answers
Answer:
405 pounds
Step-by-step explanation:
How to find the perimeter and area of 7.7m, 2.8m, 9.7m, 4
Answers
Area=49.16m^2
Answer: perimeter = 26.8
area = 49.16
Step-by-step explanation:
perimeter:
Rectangle one:
add 9.7 + 9.7 + 4 + 4 because there is 4 sides = 27.4
Rectangle 2:
2.8 + 2.8 + 3.7 +3.7 = 13
Add them together: 27.4 + 13 = 40.4
area :
rectangle one:
multiply 4 x 9.7 = 38.8
rectangle two:
multiply 3.7 x 2.8 = 10.36
add them together: 10.36 + 38.8 = 49.16
How do u work out
65% of 8700
Answers
First off, you have to make 65 % into an actual number, which is 0.65 (every time you want to convert percentages into numbers, you have to divide that by 100)
Now
0.65 * 8700 = 5655
Answer: 5655
A wave has a frequency of 50Hz and a wavelength of 10m. What is the speed of the wave? Given:
Unknown:
Formula:
Solution:
Final answer:
Answers
Answer:
formula 8.334
Step-by-step explanation: formula 8.334 so
Two angles are supplementary if their sum is 180 degrees
Answers
Answer:
maybe 80 degrees and 100? might be wrong dont count on me fully
Step-by-step explanation:
To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box?
Answers
Answer: 4 goes into the box!!
Step-by-step explanation:
Answer:
yo add AlexGot_u on ps4
Step-by-step explanation:
Can anyone help me here this is a mastery test by the way. Too tired to type it out so I put a photo.
^
|
Answers
Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
Hope this helps. I'll give you my energy.
A triangle is reflected over the y-axis. Which drawing shows a correct reflection?
A
B
С
D
А A
B
oc
D
Answers
Answer:
C
Step-by-step explanation:
Answer:
The answer your looking for is (most likely) C.
Step-by-step explanation:
If you had a mirror on the y-axis, the reflection of the pre-image triangle would be the image. The y-axis, called the line of reflection, is the line of symmetry for the two triangles. Triangle 1 is called the pre-image, and the reflected triangle is called the image.