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2 years ago

Suppose f(x)=x-4. Find the graph for f(1/4x)

Mathematics

1 answer:

9966 [12]2 years ago

7 0

Answer:

Step-by-step explanation:

Graph #4 is the correct one. Multiplying x by 1/4 widens the original graph by a factor of 4. That "-4" shifts the graph 4 units to the right.

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Consider a political discussion group consisting of 8 Democrats, 5 Republicans, and 5 Independents. Suppose that two group mem

Leya [2.2K]

Answer:

The probability of selecting two Independents is $\frac{10}{153}$ .

Step-by-step explanation:

From the given information it is clear that:

Democrats = 8

Republicans = 5

Independents = 5

Total number of member in the group is

$8+5+5=18$

We need to find the probability of selecting two Independents.

According to binomial distribution the total number of ways to select r items form n items is

$^{n}C_r=\frac{n!}{r!(n-r)!}$

Total number of ways to select 2 members from 18 members is

$\text{Total possible outcomes}=^{18}C_2=\frac{18!}{2!(18-2)!}=153$

Total number of ways to select 2 members from 5 Independents is

$\text{Favorable outcomes}=^{5}C_2=\frac{5!}{2!(5-2)!}=10$

The probability of selecting two Independents is

$p=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}$

$p=\frac{10}{153}$

Therefore the probability of selecting two Independents is $\frac{10}{153}$ .

7 0

3 years ago

Monica can walk 3.8 kilometers in 40 minutes, and she can jog twice that distance in the same amount of time. How far could Moni

Elanso [62]

We know that
Monica can walk 3.8 kilometers in 40 minutes
and
she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km

1 hour=60 minutes
by proportion
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km

the answer is
11.4 km

5 0

2 years ago

(-7. + 3 + x) - (=6 - 7.3 + 2.)

Bogdan [553]

Are we finding x? Or are we solving the equation with x

3 0

2 years ago

Which ordered pair is a solution to the equation y=-2/5x+9

Vladimir79 [104]

Answer:

Step-by-step explanation:

i am not sure i but i think it is