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natita [175]
3 years ago
6

You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a prime number and

flipping tails is
Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

1/6

Step-by-step explanation:

We first begin by identifying all sample spaces

Sample space of spinner (1,2,3,4,5,6) = 6

Sample space of a coin

(head, tail ) = 2

1.The probability of spinning a prime number. All prime numbers in the sample space is 2,3,5

Pr(prime) = 3/6= 1/3

2. The probability of flipping tails is

Pr(tail) = 1/2

Hence for the compound event

The probability is = (1/3)*(1/2)

= 1/6

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You invest $2,500 in an account that grows 5% each year. what will be your investment amount after 6 years?
lesantik [10]

Answer:  b. $3,374.65

Step-by-step explanation:

The exponential equation of growth (continuously) is given by :-

y=Ae^{rx}, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.

Given : You invest $2,500 in an account that grows 5% each year.

i.e.  A= $2,500  and r= 5%=0.05

Then, the equation model this situation will be :-

y=2500e^{0.05x}=2500(1.05)^x

Now, At x= 6

y=2500e^{0.05\times6}\\\\\Rightarrow\ y=2500e^{0.3}=3374.64701894\approx3374.65

Hence, the investment amount after 6 years will be $3,374.65.

4 0
3 years ago
What is the product of three square root of eight times four square root of three? Simplify your answer.
igor_vitrenko [27]
The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.


First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

3\sqrt{8}*4\sqrt{6}
3*4*\sqrt{8}*\sqrt{3}

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

3*4*\sqrt{(2*2*2)}*\sqrt{3}
3*4*\sqrt{4*2}*\sqrt{3}

Multiply the square roots together:
3*4*\sqrt{(4*2*3)}
3*4*\sqrt{(4*6)}

Now take out the square-root of 4 and simplify
3*4*\sqrt{4}*\sqrt{6}
3*4*(2)*\sqrt{6}
24\sqrt{6}

Thus,\ your\ answer\ is\ 24\sqrt{6}
7 0
3 years ago
More poitnes 8888888888888
MariettaO [177]

Answer:

wow thanks for free points

5 0
2 years ago
Read 2 more answers
How do you solve 1/2x<13?
Alisiya [41]
You need to get x alone on one side. You need to divide 1/2 on both sides which makes 13 a 26. x<26
4 0
3 years ago
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!! WILL GIVE BRAINLEYEST AND 5 STAR!
olasank [31]

Answer:

Distance to from house to school to community center

2+10=12

So, the Distance from house to school to grocery store is greater than Distance to from house to school to community center.

Step-by-step explanation:

Hope this helps you ^^

Have a great day and enjoy your assignment!

Best of Luck!

~sunny~ :p

8 0
2 years ago
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