Answer:
approximately 42.05
Step-by-step explanation:
We know that the distance formula is 
, so if we use (3,8) as point 2 and (21, -30) as point 1 (note that these are interchangeable), we know that
x₂=3
y₂=8
x₁=21
y₁=-30
Then, we can plug it into the formula to get 
<span>y= 1.5x - 4
y= -x
replace </span>y= -x into y= 1.5x - 4
y= 1.5x - 4
-x = 1.5x - 4
1.5x +x = 4
2.5x = 4
x = 1.6
y= -x
y = -1.6
answer: (1.6, -1.6) is the solution
Answer:
11
Step-by-step explanation:
just took the test on edg
Answer:
a) 229 and 305 days
b) 229 days or less
c) 305 days or more
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 267
Standard deviation = 19
(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days
By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.
So
267 - 2*19 = 229 days
to
267 + 2*19 = 305 days
(b) How short are the shortest 2.5% of all pregnancies?______days or less
95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So
267 - 2*19 = 229 days
c) How long do the longest 2.5% of pregnancies last?________days or more
Explanation in b)
267 + 2*19 = 305 days
