Answer:23
Step-by-step explanation:
92/4
Answer:
A) 68.33%
B) (234, 298)
Step-by-step explanation:
We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:
A. P (250 x < 282)
P ((x1 - m) / sd < x < (x2 - m) / sd)
P ((250 - 266) / 16 < x < (282 - 266) / 16)
P (- 1 < z < 1)
P (z < 1) - P (-1 < z)
If we look in the normal distribution table we have to:
P (-1 < z) = 0.1587
P (z < 1) = 0.8413
replacing
0.8413 - 0.1587 = 0.6833
The percentage of pregnancies last between 250 and 282 days is 68.33%
B. We apply the experimental formula of 68-95-99.7
For middle 95% it is:
(m - 2 * sd, m + 2 * sd)
Thus,
m - 2 * sd <x <m + 2 * sd
we replace
266 - 2 * 16 <x <266 + 2 * 16
234 <x <298
That is, the interval would be (234, 298)
Answer:
M=43
Step by Step Explanation:
2m+12= 3m-31
2m+12-2m=3m-31-2m
12=1m-31
12+31=1m-31+31
43=1m
Check:
2(43)+12=3(43)-31
86+12=129-31
98=98
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle,
XW represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WY represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine XY, we would apply the Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 59 = XY/7
XY = 7 Sin59 = 7 × 0.8572
XY = 6
Answer with explanation:
y= |x| -1
|x|=x , if x≥0
and = -x , if x<0.
So,the above function can be written as

First Drawing the graph of
y= x-1 for, x ≥ 0
And , then , y= -x -1 ,for x <0.
and then combining, the two we get.