I’m pretty sure an equivalent expression would be 2x + 4y
now, keeping in mind that a circular clock has 360° total, and there are 12 hours labeled on it evenly, so the angle between each hour label is 360 ÷ 12 = 30.
so, from 3pm to 5pm, it moved by 30° + 30° = 60°.
from 5pm to 5:30, that's only half an hour, so it moved half 30°, or 15°.
60° + 15° = 75°.
Answer: The three numbers are 10, 11, and 12.
10+11+12 = 33
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Work Shown:
- x = smallest number
- x+1 = middle number
- x+2 = largest number
Each is a positive whole number
Add them up and set the result equal to 33. Solve for x.
(x) + (x+1) + (x+2) = 33
3x+3 = 33
3x+3-3 = 33-3 .... subtract 3 from both sides
3x = 30
3x/3 = 30/3 ..... divide both sides by 3
x = 10
x+1 = 10+1 = 11
x+2 = 10+2 = 12
Note how 10+11+12 = 33 to help confirm our answer.
We are given :
The cost of one adult ticket = a.
The cost of one child ticket = c.
<u>Roy buys</u>
6 adult tickets and 2 child tickets.
Total amount = $66.
Therefore, first equation for Roy total amount would be
<em>6a +2c = 66 --------------------(1)</em>
<u>Elisa buys</u>
5 adult tickets and 4 child tickets.
Total amount = $62.
Therefore, second equation for Elisa total amount would be
<em>5a +4c = 62 --------------------(1).</em>
Therefore,
<h3>Roy
<u>6</u>a + <u>2</u>c = <u>66</u></h3><h3>
Elisa <u>5</u>a + <u>4</u>c = <u>62.</u></h3>
Answer:
(a) z=-0.59
(b) Joe will invest in Mean Corporation. The probability of getting an annual return grater than 11% is 72.3%.
Step-by-step explanation:
We have a normal distribution for the annual return of the stock.
This distribution has mean of 13.9% and s.d. of 4.9%.
If X=11%, we can calculate its corresponding z-value as:
The z-value is z=-0.5918.
The probabilty of P(X>11%)=P(y>-0.5918) is, by the standarized normal distribution table, equal to 0.723.
As its P(y>-0.5918)=P(X>11%)=0.723 bigger than the 70% threshold, Joe will invest in Mean Corporation.
