Answer:
y=1/3x+13//3
(i cant graph it but i gave u the slope intercept form)
Step-by-step explanation:
This can be solved by using the normal approximation to the binomial distribution.
mean = np = 10.000 * 0.5 = 5,000
The standard deviation is given by:


The probability of obtaining more than 5100 tails is 0.0228 and the probability of obtaining fewer than 5100 tails is 0.9772.
The odds of obtaining more than 5100 tails is therefore:
0.0228:0.9772 = 1:42.86.
The computation shows that the thickness of the beam is 3.75 inches.
<h3>How to calculate the values?</h3>
11. The thickness of the beam will be:
= 3/4 inch × 5
= 3.75 inches.
12. The length of the board will be:
= 7 5/8 × 5
= 38.125 inches.
13. The total height of the stairs will be:
= 8 3/16 × 13
= 106.4375 inches.
14. The height of the stack will be:
= 55 × 3/8in
= 20.625 inches.
15. The length of the board will be:
= 3/4 × 86 1/4
= 64.6875 inches.
16. The number of hours that it'll take to replace the trim will be:
= 37 1/2 × 1/4
= 9.375 hours.
17. The height of the will required will be:
= 22 × 5/12
= 9.167 feet
18. The inches removed from the wood will be:
= 1/16 × 7
= 0.4375 inches.
19. The shortest finish stock will be:
= 3/16 × 15
= 2.8125 feet.
20. The total amount of board wasted will be:
= 3/16 × 11
= 2.0625 inches.
21. The total rise in the staircase will be:
= 22 × 7 3/8
= 162.25 inches.
Learn more about computations on:
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<h3>Answer: 32 degrees</h3>
================================
Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc ABC = 2*(angle D)
arc ABC = 2*(35)
arc ABC = 70 degrees
-------------
break arc ABC into its smaller pieces
(minor arc AB)+(minor arc BC) = arc ABC
(38)+(minor arc BC) = 70
minor arc BC = 70-38
minor arc BC = 32
20% decrease should be the answer