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
Answer:
x=10 (22.5x+6.50=250)
Step-by-step explanation:
Answer:
y=1/2x
Step-by-step explanation:
Equations of lines are written in slope-intercept form:
y=mx+b
where m is the slope and b is the y intercept.
The slope is 1/2 and the y-intercept is 0. Therefore, we can substitute 1/2 for m and 0 for b.
y=1/2x+0
Adding 0 onto the end doesn't change the equation and doesn't serve a purpose, so it can be removed from the end of the equation.
y=1/2x
The equation is: y=1/2x
4¹/₂ × ⁶/₁₇
⁹/₂ × ⁶/₁₇
²⁷/₁₇
1¹⁰/₁₇
The product of 4¹/₂ and ⁶/₁₇ will be smaller than 4¹/₂.
Answer:
x=63
Step-by-step explanation:
<em>Subtract by 150 from both sides of equation.</em>
<em>150-x-150=87-150</em>
<em>Simplify.</em>
<em>87-150=-63</em>
<em>-x=-63</em>
<em>Divide by -1 from both sides of equation.</em>
<em>-x/1=-63/-1</em>
<em>Simplify, to find the answer.</em>
<em>-63/-1=63</em>
<em>x=63 is the correct answer.</em>
<em>I hope this helps you, and have a wonderful day!</em>
