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Shtirlitz [24]
3 years ago
12

If a system consists only of a linear function and an exponential graph, what is the maximum number of solutions possible of the

system?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0
An exponent function is either everlasting increasing or decreasing, so a linear function intercepts such a graph in ONE POINT MAXIMUM, there is only one solution
You might be interested in
30 seconds of 2.5 mins in percentage
WARRIOR [948]

Answer:

20%

Step-by-step explanation:

2.5 min =(60×2.5)sec=150 sec

30sec to 150sec=30×100/150=20%

7 0
4 years ago
Read 2 more answers
Solve the equation. 6 = 2(x + 8) - 5x<br> A. 2/3 <br> B. 3 1/3 <br> C. - 2/3 <br> D. -3 1/3
Zinaida [17]
6 = 2(x+8) - 5x
⇒ 2x+ 2*8 -5x= 6
⇒ (2x -5x)+ 16= 6
⇒ -3x = 6 -16
⇒ -3x = -10
⇒ x= -10/(-3)
⇒ x= 10/3
⇒ x= 3 1/3

The correct answer is B. 3 1/3~
4 0
3 years ago
Read 2 more answers
) e number of viewers ordering a particular pay-per-view program is normally distributed. Past history shows that 33.00% of the
lubasha [3.4K]

Answer:

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Past history shows that 33.00% of the time fewer than 20,000 people order the program

This means that X = 20000 has a pvalue of 0.33. So when X = 20000, Z = -0.44.

Z = \frac{X - \mu}{\sigma}

-0.44 = \frac{20000 - \mu}{\sigma}

20000 - \mu = -0.44\sigma

\mu = 20000 + 0.44\sigma

Only ten percent of the time do more than 28,000 people order the program.

This means that X = 28000 has a pvalue of 1-0.1 = 0.9. So when X = 28000, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{28000 - \mu}{\sigma}

28000 - \mu = 1.28\sigma

\mu = 28000 - 1.28\sigma

Also

\mu = 20000 + 0.44\sigma

So

20000 + 0.44\sigma = 28000 - 1.28\sigma

1.72\sigma = 8000

\sigma = \frac{8000}{1.72}

\sigma = 4651.16

\mu = 20000 + 0.44\sigma = 20000 + 0.44*4651.16 = 22046.5

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

6 0
3 years ago
If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
Yanka [14]

Answer:

Pretty sure it's 3

7 0
3 years ago
Read 2 more answers
Jack is 3 times a as old as lacy. 8 years ago the sum of their ages was 25. how old are they now?
OlgaM077 [116]


Let x = age of jack

Let y = age of Lacy

x=3y (Jack age is 3 times that of Lacy)

(x+y)-8 = 25

Substituting value of x:

(3y+y) -8 = 25

4y - 8 = 25

4y = 33

y = 33/4 = 8.25 or 8 years 3 months (age of Lacy)

x = 3(8.25) = 24.75 or 24 years 9 months (age of Jack)

Checking:

Substituting in equation ( x + y ) -8 = 25

24.75 + 8.25 - 8 = 25

25 = 25



3 0
3 years ago
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