Answer:
27=x
Step-by-step explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
--------- = ------------
10 14
Using cross products
14(x+8) = 10 (2x-5)
Distribute
14x +112 = 20x -50
Subtract 14x from each side
14x-14x +112 = 20x-14x -50
112 = 6x-50
Add 50 to each side
112+50 = 6x-50+50
162 = 6x
Divide by 6
162/6 = 6x/6
27=x
Answer:
D)

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
Step-by-step explanation:
<u><em>Step:-1</em></u>
Given that the random sample size 'n' = 50
The sample proportion

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

<u><em>Step(ii):-</em></u>
Level of significance = 0.90
Z₀.₉₀ = 1.645


(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)
(0.52846 , 0.75166)
<u><em>Final answer:-</em></u>
90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
Letter C is correct.
When the function is even, (all powers are even) both ends will go in the same direction.
In this case since the leading coefficient is negative, both ends will go down.
To answer this item, we let x be the amount of sales for each of them. Their weekly earnings would be as follows,
Rico:
750 + 0.05x
Sean:
1100 + 0.025x
Equating both expressions,
750 + 0.05x = 1100 + 0.025x
Simplifying,
0.025x = 350
The value of x from the equation is 14000.
Answer: $14,000.