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deff fn [24]
3 years ago
9

Need help solving this

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

The ratio is -3 , find this be dividing two consecutive numbers:

-6/2 =-3

18/-6 = -3

-54/18 =-3

The 5th number in the sequence would be -54 x -3 = 162

The 6th number will be 162 x -3 = -486

The answer is the 3rd choice.

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Artie has a book of short stories. The number of each type of short story is shown below.
enyata [817]

we are given

• 6 science-fiction stories

• 4 adventure stories

• 3 historical stories

• 2 sports stories

so,

total number of stories =6+4+3+2

total number of stories =15

Probability of selecting science stories:

number of science stories =6

total number of stories =15

P(S)=(number of science stories)/(total number of stories)

p(S)=\frac{6}{15}

p(S)=\frac{2}{5}

Probability of selecting adventure stories:

number of adventure stories =4

total number of stories =15

P(A)=(number of adventure stories)/(total number of stories)

p(A)=\frac{4}{15}

p(A)=\frac{4}{15}

now, we can find

the probability that the story Artie selects is either a science-fiction story or an adventure story

that is P(AUS)

p(AUS)=p(A)+p(S)-p(A∩S)

we know that

p(A) and p(S) are independent

so,

p(A∩S)=p(A)*p(S)

we can plug it

p(AUS)=p(A)+p(S)-p(A)*p(S)

we get

p(AUS)=\frac{2}{5}+\frac{4}{15}-  \frac{2}{5}*\frac{4}{15}

p(AUS)=\frac{14}{25}...........Answer

4 0
4 years ago
What is the length of x in the diagram below? 5/√3 10/√3 5√3 10
yan [13]

tyyyyyyyyyyyyyyyyy hhh ;u ;ug ;ug u f l6r; 7 p7 fhj 69 position

4 0
3 years ago
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 f
Mashutka [201]

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

7 0
3 years ago
Simplify 5x−4y+2(y+x)
RSB [31]

Answer:

7x -2y

Step-by-step explanation:

5x−4y+2(y+x)

Distribute

5x -4y +2y +2x

Combine like terms

5x +2x    -4y +2y

7x -2y

7 0
4 years ago
a customer purchases windows for $15,000 using a credit card. If the interest is compounded monthly at a rate of 16% per year, h
AlexFokin [52]

Answer:

≈ $9164.35

Step-by-step explanation:

The future amount A is calculated as

A = P (1+\frac{r}{n}) ^{nt}

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3

A = 15000 (1+\frac{0.16}{12}) ^{(12(3))}

   = 15000 ((1.01333)^{36}

   ≈ 24164.35

Interest paid = $24164.35 - $15000 = $9164.35

7 0
3 years ago
Read 2 more answers
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