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kondaur [170]
3 years ago
13

Gail purchase 5 raffle tickets. The grand prize is a vacation to Aruba. A total of 1,500 raffle tickets were sold. There is only

1 grand prize winner. What is the probability that Gail will win the grand prize
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0
If it is in fraction you could do 5/1500 and reduce it to 1/300 , to change 1/300 to whole number it would be 3 , to change 1/300 to decimal it would be .03
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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

A'(5)=1.76268

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0
2 years ago
Instructions: Find the measure of the indicated angle to the<br> nearest degree
Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

? = 57.42102961

To the nearest degree

? = 57

5 0
3 years ago
Calculate average rate of change between n=1 and n= 11
crimeas [40]

Answer:

The ordered pairs for 1 and 3 are:

(1,2) (3,8)

Now use the slope formula:

(y2-y1)/(x2-x1)

(8-2)/(3-1)= 6/2 = 3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The Russian soccer goalie has saved 17 out of the last 20 shots but the Italian soccer goalie has saved 12 out of the last 14 sh
Novosadov [1.4K]

Answer:

The italian goalie: 85.7%

Step-by-step explanation:

17 / 20 = 85% (Russian)

12 / 14 = 85.7% (Italian)

4 0
3 years ago
PLS HELP FAST!!!
Luden [163]
The original price would be $58.75
8 0
3 years ago
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