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sergeinik [125]
2 years ago
10

Fix the inequality below to correctly show the domain of the function.

Mathematics
1 answer:
Nataliya [291]2 years ago
6 0

Answer:

from questions it is given that X is lies between the -9 and -5. In this question X lies only between -9 to -5 but -9 and -5 are excluded because there is no equal sign given in the question. so value of X are (-8,-7,-6). and plot in the graph .and these values are the component of X so they are also a domain.

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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
Which of the following is equal to √^3√5<br>5^1/3<br>5^1/6<br>5^2/3<br>5^3/2​
svlad2 [7]
I think it’s number 3
5 0
2 years ago
How do you solve -h/3 - 4 = 13
Phantasy [73]
Answer is -h = -51 (download photomath)

8 0
3 years ago
A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π
julsineya [31]

Answer:

75.36 inches

Step-by-step explanation:

C = π·d

C = 3.14(24)

C = 75.36

3 0
2 years ago
What is the prime factor of 350
scZoUnD [109]

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

8 0
2 years ago
Read 2 more answers
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