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Ivanshal [37]
2 years ago
5

The driver of a car traveling at 54ft/sec suddenly applies the brakes. The position of the car is s=54t-3t^2, t seconds afyer th

e driver applies the brakes.
How many seconds after the driver applies the brakes does the car come to a stop
Mathematics
1 answer:
castortr0y [4]2 years ago
6 0
  <span>s = 60t - 3t^2 
v = ds/dt = 60 - 6t 

when it comes to rest, v = 0, 
so t = 10 sec 

now distance travelled = time taken x average velocity 
= 10 x (60 + 0)/2 
= 300 ft 

</span>
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Fine The slope of the line on the graph
Brrunno [24]

Take any 2 points through which the line on graph passes,

(0,-1) =(x₁,y₁)

& (2,-4)=(x₂,y₂)

slope=(y₂-y₁)/(x₂-x₁)

=[-4-(-1)]/(2-0)

=-3/2

3 0
3 years ago
Help on # 2 please. Thank you!
Alenkasestr [34]

Answer:

There are 9 boys in the choir

Step-by-step explanation:

To solve this, create two equivalent fractions with the information given

boys      3         x

------- = ------ = ------

girls       4         12

Then, cross-multiply

4x = 3(12)

4x = 36

x = 9

3 0
3 years ago
An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that,
77julia77 [94]

Answer:

0.9595724

Step-by-step explanation:

Time taken to wash a car (μ) = 5 minutes

Hence, Number of cars washed per hour = 60/5 = 12 cars

If 5 cars arrive, 30 minutes to closing ; it takes 25 minutes to finish up ;

If 1 more car arrives, then it takes exactly 30 minutes

Hence, there will be no one in line at closing ;

IF 0 or 1 car arrives, if more than 1 car arrives, then there will be people in line at closing.

Hence, probability of waiting in line at closing :

1 - [p(0) + p(1)]

Using poisson :

P(x) = [(e^-μ) * (μ^x)] / x!

If x = 0

P(0) = [(e^-5) * (5^0)] / 0!

P(0) = (0.0067379 * 1) / 1

P(0) = 0.0067379

X = 1

P(1) = [(e^-5) * (5^1)] / 1!

P(0) = (0.0067379 * 5) / 1

P(0) = 0.0336897

Hence,

1 - (0.0067379 + 0.0336897)

1 - 0.0404276

= 0.9595724

Hence, the probability that anyone would be in the car washing line after closing is 0.9595724

4 0
2 years ago
Question 1 (1 point)
olya-2409 [2.1K]

For this case we can propose a system of equations:

x: Let the variable that represents the number of small cookies

y: Let the variable that represents the number of large cookies

According to the statement we have:

x + y = 130\\2x + 3y = 310

We multiply the first equation by -2:

-2x-2y = -260

We have the following equivalent system:

-2x-2y = -260\\2x + 3y = 310

We add the equations:

-2x + 2x-2y + 3y = -260 + 310\\y = 50

We look for the value of the variable "x":

x = 130-y\\x = 130-50\\x = 80

Answer:

They sold 80 small cookies and 50 large cookies

6 0
3 years ago
The probability of a chance event is anumber between blank that expresses the likelihood that an event blank occur
Mademuasel [1]

The statements second, Third and Fifth are correct statement related probabilities. which represent the 0.25 indicates an unlikely event and

0.75 indicates a likely event and 0.5 indicates equally likely to occur or not occur.

According to the statement

we have given that the some points related the probability and we ahve to express the correct statement and explain them.

So, We know that the

Probability is a the chance that a given event will occur.

And we know that the

  • A zero probability (0) means that the event is impossible, it will never happen.
  • A one probability (1) means that the event will occur with certainty.

You might split the likelihood in some notorious outcomes:

0: impossible (the event will never happen)

Close to zero (about 0 - 0.3): unlikely (the chances are small)

0.5: even (equal chances of happening and not happening)

Close to 1 (about 0.7 - 1): likely (the changes are large)

1: certain (it is 100% sure that the event will happen)

This means that:

first statement, 0 indicates a certain event, is incorrect.

0.25 indicates an unlikely event (second statement is correct)

0.75 indicates a likely event (third statement is correct)

fourth statement is incorrect (1 does not indicate an impossible event, but a certain event)

0.5 indicates equally likely to occur or not occur (fith statement is correct).

So, The statements second, Third and Fifth are correct statement related probabilities. which represent the 0.25 indicates an unlikely event and

0.75 indicates a likely event and 0.5 indicates equally likely to occur or not occur.

Learn more about Probability here

brainly.com/question/25870256

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.

•0 indicates a certain event

•0.25 indicates an unlikely event

•0.75 indicates a likely event

•1 indicates an impossible event

•0.5 indicates equally likely to occur or not occur.

#SPJ4

6 0
1 year ago
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