A model rocket is launched straight into the air from platform 3 feet above the ground with an intial velocity of 192 feet per second

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.

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There are 46 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 4 min. (Round your answers to four decimal places.)(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?(b) If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?

Answers

Answer:

a) P ( T < 250 mins ) = 0.7695

b) P ( T > 260 mins ) = 0.1344

Step-by-step explanation:

- The RV from a sample has the following parameters that are mean = 5 mins, and standard deviation s = 4 mins.

- The entire population has n = 46 students.

- We will first compute the population mean u and population standard deviation σ as follows:

u = n*mean

u = 46*5 = 230 mins

σ = sqt ( n ) * s

σ = sqt ( 46 ) * 4

σ = 27.129 mins

- Approximating that the time taken T to grade the population of entire class follows a normal distribution with parameters u and σ as follows:

T~ N ( 230 , 27.129 )

Find:

- If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

- The total time till 6:50 PM to 11:00 PM is ( 4 hr and 10 mins ) = 250 mins.

- We will compute the Z-value as follows:

Z = ( 250 - 230 ) / 27.129

Z = 0.7372

- Then use the Z-Tables and determine the probability:

P ( T < 250 mins ) = P ( Z < 0.7372 )

P ( T < 250 mins ) = 0.7695

Find:

- If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?

- For the teacher to miss the sports report he must take more time than 6:50 PM to 11:10 P.M.

- The total time till 6:50 PM to 11:10 PM is ( 4 hr and 20 mins ) = 260 mins.

- We will compute the Z-value as follows:

Z = ( 260 - 230 ) / 27.129

Z = 1.10582

- Then use the Z-Tables and determine the probability:

P ( T > 260 mins ) = P ( Z > 1.10582 )

P ( T > 260 mins ) = 0.1344

2 more than the product of 4 times m Express algebraically

Answers

The product of 4 times 'm' . . . . . 4m

2 more than that . . . . . . . . . . . . 4m + 2

Solve for all possible values of x. square root of the quantity x minus 9 end quantity plus 4 equals 8

a) x = −5
b) x = 7
c) x = 13
d)x = 25

Answers

Answer:

Option d) x = 25

Step-by-step explanation:

we have

$√(x-9)+4=8$

Solve for x

Subtract 4 both sides

$√(x-9)+4-4=8-4$

$√(x-9)=4$

squared both sides

$(x-9)=(+/-)4^2$

$(x-9)=(+/-)16$

Adds 9 both sides

$x=9(+/-)16$

$x1=9(+)16=25$

$x2=9(-)16=-7$

Verify

1) For x=25

$√(25-9)=4$

$√(16)=4$

$4=4$ ----> is true

therefore

x=25 is a solution

2) For x=-7

$√(-7-9)=4$

$√(-16)=4$

The radicand cannot be a negative number

therefore

x=-7 is not a solution

I = prt (simple interest).
Find the value of I given that p=300, r=0.14, and t=2

Answers

Hi there, Convert r percent to r a decimal, r=R/100=0.14%/100=0.0014 per year. Now, we have to solve using a equation, the equation is A=300(1+(0.0014*2))=300.84, Therefore, the answer is $300.84

300x0.14=0.42
0.42x2=0.84

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

Answer: Option D

Step-by-step explanation

Because

Help ????????please need help

Answers

Answer:

Step-by-step explanation:

Since 64.25 is for five dozen roses, we need to know what 1 dozen is. First we have to divide 64.25/5. That is equal to 12.85.

Boom! Theres your answer

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