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Zanzabum
3 years ago
6

Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

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The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
How would the right side need to change
Katyanochek1 [597]
Where's the problem or the work ?
8 0
3 years ago
A jar contains 444 red marbles, 444 green marbles, and 555 blue marbles.
ziro4ka [17]

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4 0
3 years ago
The scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a pro
juin [17]

Solution:

Equation of best fit , which describes the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving.

The equation is : y= −0.0067 x + 17

Comparing with slope intercept form of line which is , y= m x + c

where m, is the slope of line= -0.0067

Y intercept = 17

If the points are closer to Line of best fit , it means high correlation, and if points are far away from line of best fit it means low correlation between x and y values.

If , X= number of car accidents in a month

Y= number of drivers attending a program on distracted driving.

If, x= 0, y=17, that is,

if number of car accidents=0

Then,  number of drivers attending a program on distracted driving= 17  

If, Y= number of car accidents in a month

X= number of drivers attending a program on distracted driving.

If, x= 0, y=17,

 number of drivers attending a program on distracted driving= 0

Still,  number of car accidents in a month=17

6 0
3 years ago
Read 2 more answers
PLS HELP ME I NEED THIS DONE IN A FEW MINUTES
noname [10]

Answer:

(2,2)

Step-by-step explanation:

Midpoint formula, and plug in the numbers.

Hope this helps.

(x1+x2)/2,(y1+y2)/2

(1+3)/2,(3+1)/2

4/2,4/2

(2,2)

7 0
3 years ago
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