Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Using a confidence interval, we have that:
a) The range is from 48.8% to 51.2%.
b) Between 125,000 and 131,000 adults are registered organ donors.
<h3>What is a confidence interval?</h3>
A confidence interval is given by the <u>estimate plus/minus the margin of error</u>.
For this problem, we have that:
- The margin of error is of 1.2%.
The bounds of the range are given as follows:
Hence the range is from 48.8% to 51.2%.
<h3>What are the total numbers?</h3>
We have to find <u>48.8% and 51.2% of 255,200,373</u>, hence:
- 0.488 x 255,200,373 = 124,537,782.
- 0.512 x 255,200,373 = 130,662,591.
Rounded to hundredth thousand, between 125,000 and 131,000 adults are registered organ donors.
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
Answer:
In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.
Step-by-step explanation:
Answer:
60 degrees.
Step-by-step explanation:
We use trigonometry of a right angled triangle:
Adjacent side = 20 ft, Hypotenuse = 40 ft.
cos x = adjacent / hypotenuse = 20/40 = 1/2
x = 60 degrees.
