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Luda [366]
3 years ago
13

For each value f(x) = 2 - 3x and g(x)= l 2- 3x l

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0
For, f(1) = 2-3x =2-3 =-1
and, for, g(1) = | 2-3x | =| -1 | = 1   (The symbol | | determines the abstract value i.e, positive value)
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Noemi flips a coin three times and get tails, tails and heads in that order
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3 years ago
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
Linda drives 35 miles five days of the week . During one year, she has 10 days of vacation and 10 holidays when she does not dri
Alenkinab [10]

Answer:

1680 miles

Step-by-step Explanation:

There are 52 weeks in a year. Total number of days she is expected to work would be 52 * 5 = 260 days.

Now we know she has 10 vacation days and 10 holidays. This translates 260 - 20 = 240 days

Now if she drives 35miles 5 days of the week, this means she dives 7 miles per day.

The total number of miles traveled is this 240 * 7 = 1680 miles

5 0
3 years ago
Read 2 more answers
Suppose f(x)=6x-2 and g(x)= 2x+4. Find each of the following functions.
NikAS [45]

Suppose f(x)=6x-2 and g(x)= 2x+4

a.

(f+g) (x)  = 6x - 2 + 2x + 4

(f+g) (x)  = 8x + 2

b.

(f-g) (x) = 6x - 2 -( 2x + 4)

(f-g) (x) = 6x - 2 - 2x - 4

(f-g) (x) = 4x - 6

5 0
3 years ago
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