Answer:
5/23 (Simplified)
Step-by-step explanation:
There ya go.. :D
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
The sum of interior angles of this pentagon is 540 ( 180(5-2)=540)
So it is : 85+120+90+2x-10+180-x=540. ( in case you ask where did I get 180-x , it is bc the line is 180 degree so minus x it will help us find one of the interior angles)
So x+465=540. x=75
The value of exterior is 75
Answer:
she would paint 350.4 square feet
Step-by-step explanation:
first you would find the surface area of one of the triangles, then multiple it by 2 because there are 2 triangles. next you would find the area of each individual rectangle. after that you would add up each of the measurements for the triangles and rectangles.
area of a triangle =1/2 base×height
Answer: 5 to the 2 power x4+100 divide by 2
Step-by-step explanation: