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Alja [10]
2 years ago
10

you pick a number between 1,000 and 5,000 then you flip a coin identify if the two events are independent or dependent explain

Mathematics
2 answers:
Lelu [443]2 years ago
7 0
Independent one has nothing to with the other

Mariana [72]2 years ago
6 0

Answer with Step-by-step explanation:

Events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

A:Picking a number between 1000 and 5000

B:flipping a coin

P(A)=1/4001

P(B)=1

P(A∩B)=1/4001

           =P(A)×P(B)

Hence, the two events are independent

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The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?
sdas [7]
<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

x\sqrt{2} =18

From here we can solve for x. Firstly, divide both sides by √2.

x=\frac{18}{\sqrt{2}}

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}

Next, divide:

x=9\sqrt{2}

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

5 0
1 year ago
Read 2 more answers
The list shows the area in square feet of each apartment available for rent in a building. 565, 961, 867, 517, 627, 714, 517, 72
gladu [14]
STEP 1:
put numbers in order from lowest to highest
517, 517, 565, 627, 714, 728, 867, 961

STEP 2:
find the difference between the lowest and highest numbers

961 - 517= 444 ft^2 range

ANSWER: The range of the areas is 444 ft^2.

Hope this helps! :)
8 0
2 years ago
Read 2 more answers
T varies inversely as the square root of u.<br>t = 3 when u = 4.<br>Find t when u = 49.​
RoseWind [281]

Answer:

t = \frac{6}{7}

Step-by-step explanation:

Given that t varies inversely as the square root of u then the equation relating them is

t = \frac{k}{\sqrt{u} } ← k is the constant of variation

To find k use the condition t = 3 when u = 4, thus

k = t\sqrt{u} = 3 × \sqrt{4} = 3 × 2 = 6

t = \frac{6}{\sqrt{u} } ← equation of variation

When u = 49, then

t = \frac{6}{\sqrt{49} } = \frac{6}{7}

6 0
1 year ago
All I need is this answer,please help!!
il63 [147K]
Hello there,

There is a total of 40 animals in that in 10 zebras, 10 lions, 10 elephants, and 10 monkeys.
So the probability of them both being lions is pretty rare. 2/40 so that would give you a 1/20 chance of both crackers being both lions.

I hope this helps!
7 0
2 years ago
A department store chain is expanding into a new market and is considering 22 different sites on which to locate 6 stores.
NARA [144]

Answer:

74613

Step-by-step explanation:

22C6 = 74613

3 0
2 years ago
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