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lora16 [44]
4 years ago
8

Find the probability given that each set of events is independent: drawing a 3 from 5 cards numbered 1 through 5 and rolling an

even number on a number cube. A 3/30 = 1/10 b 4/30 = 2/15 c 2/30 = 1/15 d None of the above
Mathematics
1 answer:
ivanzaharov [21]4 years ago
6 0

Answer:

1/10

Step-by-step explanation:

So first we need to find the probability of the cards, there is 5 cards and one card needs to be chosen, so the probability is 1/5

Then we need to find the probability of the dice, there is 3 even numbers in 1,2,3,4,5,and 6, so the probablity is 3/6 which is also equal to 1/2

Finaly we need to multiply 1/5 with 1/2, which is 1/10

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Can someone give me the answers for these?
Katyanochek1 [597]

Answer:

a.  He started with $50 in the the account.

b.  The account grow by $10 dollars each week

c see graph

Step-by-step explanation:

y = 50 + 10x


We can rewrite this as

y = 10x+50

This is in the form y = mx+b

where m = 10 which is the slope and b =50 which is the y intercept

The y intercept = 50 is the starting value or the value when x = 0

a.  He started with $50 in the the account.


The slope is how much it grows by as x grows.  As x increase by 1 , y will grow by the slope or 10, so  the account will grow by 10 each week.

b.  The account grow by $10 dollars each week


c see graph

5 0
4 years ago
What's the formula for sum of<br> geometric progression<br>​
Margarita [4]

Answer: s=a11-r (a1 = first term and r = common ratio)

Step-by-step explanation:

6 0
3 years ago
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How to find percentile rank
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6 0
3 years ago
Question
bekas [8.4K]

Answer:

y=-1/5x-8/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-1))/(2-(-3))

m=(-2+1)/(2+3)

m=-1/5

y-y1=m(x-x1)

y-(-1)=-1/5(x-(-3))

y+1=-1/5(x+3)

y=-1/5x-3/5-1

y=-1/5x-3/5-5/5

y=-1/5x-8/5

7 0
3 years ago
A 10 ft ladder is being pulled away from a wall at a rate of 3 ft/sec. What is the rate of change in the area beneath the ladder
andriy [413]

Answer:

The rate of change in the area beneath the ladder is 5.25 ft²/s

Step-by-step explanation:

Area of triangle is given by;

A = \frac{1}{2}bh\\\\2A = bh\\\\take \ derivative  \ of \ both \ sides \ with \ respect  \ to \ "t"\\\\2\frac{dA}{dt} = h\frac{db}{dt} + b\frac{dh}{dt}\\\\divide \ through \ by \ 2\\\\\frac{dA}{dt} = (\frac{h}{2} )\frac{db}{dt} + (\frac{b}{2}) \frac{dh}{dt}

where;

b is the base of the triangle, given as 6 ft

h is the height of the triangle, determined  by applying Pythagoras theorem.

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8 ft

Determine the rate of change of the height;

h^2 + b^2 = 10^2\\\\h^2 + b^2 =100\\\\2h\frac{dh}{dt} + 2b\frac{db}{dt} =0\\\\h\frac{dh}{dt} + b\frac{db}{dt} =0\\\\h \frac{dh}{dt}  = -b\frac{db}{dt} \\\\\frac{dh}{dt}  = (\frac{-b}{h} )\frac{db}{dt}\\\\\frac{dh}{dt}  =(\frac{-6}{8})(3)\\\\\frac{dh}{dt}  = -\frac{9}{4} \ ft/s

Finally, determine the rate of change of area beneath the ladder;

\frac{dA}{dt} = (\frac{h}{2} )\frac{db}{dt} + (\frac{b}{2}) \frac{dh}{dt}\\\\\frac{dA}{dt} = (\frac{8}{2} )(3) + (\frac{6}{2}) (\frac{-9}{4})\\\\\frac{dA}{dt} = 12 - \frac{27}{4} \\\\\frac{dA}{dt} = \frac{48-27}{4}\\\\\frac{dA}{dt} = \frac{21}{4} \ ft^2/s\\\\\frac{dA}{dt} =  5.25 \ ft^2/s

Therefore, the rate of change in the area beneath the ladder is 5.25 ft²/s

5 0
4 years ago
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