Answer:
5.01%
Step-by-step explanation:
In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...
55 / 100 = 0.55
45 / 100 = 0.45
0.45 * 0.45 * 0.45 * 0.55 = 0.05011875
Multiply by 100 to get percentage.
0.05011875 * 100 = 5.01%
Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.
- 40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees.
- Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees.
- The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.
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1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.
2) 140 + x + x = 180 (equation)
- 140 + 2x = 180
- 2x = 180 - 140
- 2x = 40
- x degrees = 20 degrees
ANSWER: x = 20 DEGREES
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1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.
2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle
of left triangle.
2) 70 + 40 + y = 180
- 110 + y = 180
- y = 180 - 110
- y = 70 degrees
ANSWER: y = 70 DEGREES
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Whew. Hope this helps you out, and let me know asap if you're confused on any part.
Answer:
17/72
Step-by-step explanation:
Let's make this equation easier to read.
.5/36 + 16(1/72)
Start by remembering PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
This is the order in which you will solve the problem. So multiplication first, then division, and finally addition.
Multiply 16 and 1/72
16/1 x 1/72 multiply across to get 16/72 which can be reduced to 2/9.
Divide .5 (or 1/2) by 36. To do this, multiply by the reciprocal of 36
1/2 x 1/36 = 1/72
Your equation is now
2/9 + 1/72
Your common denominator is 72, so multiply top and bottom of 2/9 by 8.
16/72 + 1/72 = 17/72
To put it in the simplest words :
Get rid of the parentheses and add like so:
<span>Combine like terms
2n^3+n^3= 3n^3
-8n^2 remains the same since there are no like terms for it
8n also remains the same
-9+7=-2
Put all of the numbers together
3n^3-8n^2+8n-2
Final answer:B - the 2nd one</span>
Answer:
THE ANSWER IS LETTER C
Step-by-step explanation:
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