Answer:
Below
Step-by-step explanation:
You can use this formula to find the sum of an arithmetic series
Sn = n / 2 (a1 + an)
You need to find the number of terms in each series before using the formula
Tn = a + (n - 1) d
a) 53 = 5 + (n - 1) 3
n = 17
Sn = 17 / 2 (5 + 53)
= 493
b) 98 = 7 + (n - 1) 7
n = 14
Sn = 14 / 2 (7 + 98)
= 735
c) -102 = 8 + (n - 1) -5
n = 23
Sn = 23 / 2 (8 + (-102))
= - 1081
d) 41/3 = 2/3 + (n - 1) 1
n = 14
Sn = 14 / 2 (2/3 + 41/3)
= 301 / 3 or 100 1/3
Hope this helped! Best of luck <3
Answer:
Hip breadths less than or equal to 16.1 in. includes 90% of the males.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14.5
Standard Deviation, σ = 1.2
We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.10.
P(X > x)
Calculation the value from standard normal z table, we have,
Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.
That is hip breaths greater than 16.1 in. lies in the larger 10%.
You need to use the distributive property. So you take the -9 from outside the parentheses and multiply itself by the numbers inside.
Answer:
3.92
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values.
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
Find the sum of the absolute values of the differences.
Divide the sum of the absolute values of the differences by the number of data values.
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