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Mkey [24]
3 years ago
13

4. A cyclist’s reaction time to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0

.05 seconds. [15] (a) What is the probability that a reaction requires more than 0.6 seconds? (b) What is the probability that a reaction requires between 0.4 and 0.5 seconds?
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

shush subscribe to aj shabeel

Answer:

Step-by-step explanation:

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The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when the radius is 5 ft.
nydimaria [60]

 \frac{d(Area)}{dt} =94.2ft^2/min rate is its area changing when the radius is 5 ft.

<u>Step-by-step explanation:</u>

Here we have , The radius of a circle is increasing at a rate of 3 ft/min. We need to find  At what rate is its area changing when the radius is 5 ft. Let's find out:

We know that area of circle  = \pi r^2 .

⇒ Area = \pi r^2

Differentiating both sides w.r.t to time we get :

⇒ \frac{d(Area)}{dt} = \pi\frac{ d(r^2)}{dt}

⇒ \frac{d(Area)}{dt} = \pi(2r)\frac{ dr}{dt}    ............(1)              {  \frac{d(r^n)}{dr}= nr^{n-1}  }

But , According to Question

\frac{dr}{dt} = 3ft/min\\r=5ft

Putting this value in equation (1):

⇒ \frac{d(Area)}{dt} = \pi(2(5))(3)

⇒ \frac{d(Area)}{dt} =30 \pi

⇒ \frac{d(Area)}{dt} =94.2ft^2/min

Therefore ,  \frac{d(Area)}{dt} =94.2ft^2/min rate is its area changing when the radius is 5 ft.

8 0
3 years ago
3 people<br> 9 granola bars<br> 2<br> 3 granola bars
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Hi I need help with my work can you help me please
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on a recent day, 8 dogs were worth $9 and 24 dogs worth $27. write a chart for the proportion and write an equation the for form
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Answer: y=1.125x

Step-by-step explanation:

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evablogger [386]
The answer is 228 ft squared
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Graph each equation using the slope and the y-intercept.<br><br><br> y = –2x + 0.5
Nostrana [21]

Answer:

Hey I don't I can graph it but I can give you the points.

Step-by-step explanation:

Table

-0.5  1

-2.5  4.1

0.42 -.84

Just try your best to estimate where it is supposed to be on a graph.

5 0
3 years ago
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