Answer: 6.19 miles
Step-by-step explanation:
1): First you have to divide 312 by 252 to get the miles per hour.
312 / 252 = 1.23
2): Secondly, multiple 1.23 by 5 hours
5 x 1.23 = 6.19
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
Answers:
10. b. 
9. b. 
8. a. 
7. a. 
Step-by-step explanations:
10. Both segments are considered congruent, so turn both expressions into an equation:

Plug this back into the equation to get
on both sides.
9. All edges in a square obtain congruent right angles and edges, so set
equivalent to the given expression:

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

I am joyous to assist you at any time.
Answer:
The answer is 94 degrees.
Step-by-step explanation:
The total number of degrees in a triangle is 180.
So you would subtract 35 and 51 from 180.
180-35-51=94
Hope this helps <3