3 years ago

The mean life of a battery is 50 hours with a standard deviation of 6 hours. The

Mathematics

1 answer:

Alborosie3 years ago

6 0

It would be atleast 250

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what is the sum of the first 5 terms if of a geometric series with a1=20 and r=1/4 the answer has to be an improper fraction

amm1812

The sum of the term in a geometric sequence
Sn= $\frac{a1(1-r^n)}{1-r}$
where
there are n terms
r is common ratio
a1 is first term

Sn= $\frac{20(1-(1/4)^5)}{1-(1/4)}$
Sn= $\frac{20(1-(1/1024))}{3/4}$
Sn= $\frac{20(1023/1024)}{3/4}$
Sn= $\frac{1705}{64}$

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3 years ago

Find the value of x. Please help!

Mars2501 [29]

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x = x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

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2 years ago

The angle of depression from the top of the bluffs to a boat is 25°. If the boat is 50m from the base of the bluffs, how high ar

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The height of the is bluffs 12.5m

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3 years ago

You are given the expressions:

FinnZ [79.3K]

Answer:

22/15=x

Step-by-step explanation:

Well first off we have to do the stuff in the parentheses-

3x(3+7)-42=2

9x+21x-42=2 Now we have to get x by itself

+42 +42

9x+21x=44 Now add the like terms

30x=44 Divide by 30

/30 /30 30 chancels out

44/30 Simplify

22/15=x

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2 years ago

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