Answer:
A, f(x) ≥ -36
Step-by-step explanation:
The range is all the possible y values, also called f(x) values.
In this case, the range of the graph extends from -36 to infinity, so the correct answer is f(x) ≥ -36.
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Answer:
C I think
Step-by-step explanation:
Answer: 5=49, 6= 131
Step-by-step explanation:
The mean absolute deviation (MAD) of their ages is 19 and this can be determined by using the formula of mean absolute deviation.
Given :
Ages - 9 , 13 , 43 , 55
The meanabsolute deviation is given by the formula:
where n is the total number of data values, is the data value in the set, and m(X) is the average value of the data set.
So, to find MAD first evaluate the value of m(x).
m(X) = 30
Now, the MAD of their ages is:
MAD = 19
So, the mean absolute deviation (MAD) of their ages is 19.
For more information, refer to the link given below:
Answer:
The mean absolute deviation of this data is .
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
To find the mean absolute deviation of this data you must
Step 1: Calculate the mean.
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference.
Step 3: Add the distances together.
Step 4: Divide the sum by the number of data points.
A. 80
B. 121
C. 21
D. 61
Answer:
Step-by-step explanation:
find x from the given triangle.
first step is to get x
add all inside angles = 180
∠2 + ∠3 + ∠4 = 180
x + 40 + 5x + 14 = 180
x + 5x = 180 - 40 - 14
6x = 126
x = 126 / 6
x = 21
substitute x=21 into angle 4
∠4 = 5x + 14
∠4 = 5(21) + 14
∠4 = 119
lastly, add ∠1 + ∠4 = 180
∠1 + 119 = 180
∠1 = 180 - 119
∠1 = 61°
therefore, the answer is D. 61
Choose 1 answer
84%
86%
88%
92%
Answer:
84%
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
on Khan Academy
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.
Number of sample, n = 41
Mean, u = 43.1 hours
Standard deviation, s = 5.91 hours
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
43.1 ± 1.645 × 5.91/√41
= 43.1 ± 1.645 × 0.923
= 43.1 ± 1.52
The lower end of the confidence interval is 43.1 - 1.52 =41.58
The upper end of the confidence interval is 43.1 + 1.52 =44.62
Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62
Answer: 9.5 (D.)
Step-by-step explanation:
SOCAHTOA
the sin of an angle is equal to the opposite side over the hypotenuse.
angle: 32
opposite side: x
hypotenuse: 18 m
1. sin32 = x/18
2. 18(sin32) = x
3. 9.5 = x
if you are confused with how it went from 18(sin32) to 9.5, you can plug 18(sin32) into your calculator.