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kondor19780726 [428]
3 years ago
11

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 14 red marble

s, and 15 green marbles if the first marble is not replaced?
Mathematics
2 answers:
Zina [86]3 years ago
8 0

The total number of marbles are = 12+14+15 = 41

P(drawing yellow) = 12/41 =0.29
P(drawing red) = 12/40 =0.3

Total probability = (12/41) *(14/40) =0.087 
Anna11 [10]3 years ago
3 0
Is yellow so their are 13 yellow marbles.
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PLS SOMEONE HELP ME ASAP
babymother [125]

Answer:

A. (2i)(8) = d. 16i

B. 16i³ = b. -16i

C. (2i)⁴ = a. 16

D. (2i)(8i) = c. -16

Step-by-step explanation:

A. Multiply 2i by 8 to get 16i, which corresponds to d.

B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.

C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.

D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.

8 0
3 years ago
Solve The Equation, Check Your Answer 15=7x+1-5x
Morgarella [4.7K]
15=7x+1-5x


Put like terms together. ( group anything alike)

15+1=16

7x-5x=2x

16 2x
—- ——-
2x 2x


2x/2x cancels itself out.

16 divided by 2 is 8

x=8

I hope this helped!
5 0
3 years ago
Read 2 more answers
Help with question 5a
Llana [10]
This is a refreshing question!

We are given that
f(r)=ar+b, and
Sum f(r) =125 for r=1 to 5
Sum f(r) = 475 for r=1 to 10.

and we know, using Gauss's method, that
G(n)=sum (1,2,3.....n) = n(n+1)/2 or
G(n)=n(n+1)/2

Sum f(r) =125 for r=1 to 5
=>
sum=a(sum of 1 to 5) + 5b => G(5)a+5b=125   [G(5)=15]
15a+5b=125 ...................................................(1)

Similarly, Sum f(r) =  475 for r=1 to 10 => G(10)a+5b=475  [G(10)=55]
=>
55a+10b=475.................................................(2)

Solve system of equations (1) and (2)
(2)-2(1)
55-2(15)a=475-2(125) => 25a=225 =>
a=9

Substitute a=9 in 1 => 15(9)+5b=125 => 5b=-10
b=-2

Substitute a and b into f(r), 
f(r)=9r-2
check: sum f(r), r=1,5 = (9-2)+(18-2)+(27-2)+(36-2)+(45-2)=135-10=125 [good]

We define the sum of f(r) for r=1 to n as
S(n)=sum f(r) for r=1 to n = 9(sum 1,2,3....n)-2n = 9n(n+1)/2-2n = 9G(n)-2n
S(n)=9n(n+1)/2-2n
checks:
S(5)=9(15)-2(5)=135-10=125  [good]
S(10)=9(55)-2(10)=495-20=475 [good]

Hence 
(a)
S(n)=sum f(r) for r=1,n
= 9(sum i=1,n)+n(-2)
= 9(n(n+1)/2 -2n
=(9(n^2+n)/2) -2n

(b) sum f(r) for i=8,18
=sum f(r) for i=1,18  -  sum f(r) for i=1,7
=S(18)-S(7)
=(9(18^2-18)/2-2(18))-(9(7^2-7)/2-2(7))
=1503-238
=1265
5 0
3 years ago
Dave uses 5 gallons of gas to drive 140 miles on the highway. If he travels at the same rate, how many miles can he drive on 7 g
Solnce55 [7]

Answer:

168 miles

Step-by-step explanation:

If he uses 5 gallons to drive 140 miles, that means that he can drive 24 miles for every gallon (140/5=24)

7 times 24 is 168 so he can drive 168 miles on 7 gallons of gas

5 0
3 years ago
Read 2 more answers
If f(x)=-2x+9, then find the value of the x value that makes F(x)=-22
Lostsunrise [7]
-22 = -2x + 9
-31 = -2x
-31/-2 = x
x = 15.5 
5 0
3 years ago
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