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Veronika [31]
3 years ago
12

Samuel pulls two coin out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quart

er, what is the probability that he pulled more than 20 cents out of his pocket? Justify your work by creating a tree diagram or a sample space.
Mathematics
1 answer:
Ilya [14]3 years ago
4 0
2:3 3 possible options (quarter+dime= 35, quarter+nickel=30, dime+nickel=15) two options are more than 20
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Sam runs for 10 minutes The graph shows his puse, in beats per minute. 100- (beats per min) 80- 1 2 3 5 6 7 8 9 10 Time (min) By
Inessa05 [86]

The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute

<h3>How to determine the beat rate after 3 minutes?</h3>

The given graph shows the curve and the tangent.

From tangent line, we have the following points:

(x,y) = (3,119) and (1,100)

The beat rate (m) at this point is:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{100 - 119}{1 - 3}

Evaluate the differences

m = \frac{-19}{-2}

Evaluate the quotient

m = 9.5

Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute

Read more about rates of tangent lines at:

brainly.com/question/6617153

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5 0
2 years ago
The area of a rectangle is 56 cm. The length is 2cm more than x and width is 5 cm less than twice x. Solve for x. Round to the n
ra1l [238]
Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x  - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing. 
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.

Check
=====
l = x + 2
l = 6 + 2
l = 8

w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7

l*w = 8*7 = 56. It checks.
If this is the best answer you get, could you consider a Brainly? I need 2 of them to move up.
3 0
3 years ago
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?
Klio2033 [76]

Answer:

4%

Step-by-step explanation:

264 interest/3 years=88 interest/year

principal x interest rate =interest/year

2200 x interest rate =88

interest rate =88/2200

interest rate =.04 or 4%

8 0
3 years ago
Which fractions are equivalent to 4/9?
LenaWriter [7]

Answer:

\frac{8}{18}

Step-by-step explanation:

\frac{4}{9}  =  \frac{4 \times 2}{9 \times 2}  =  \frac{8}{18}  \\

5 0
2 years ago
Read 2 more answers
An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the mi
amid [387]
The minimum distance between the asteroid and the sun is 10 - 6 =4


The given hyperbolic path defined as
divide both the sides by 576,



The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4
4 0
3 years ago
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