Answer:
Each package of pen costs 2.5
Each package of marker costs 5
Step-by-step explanation:
Please refer to the attached image for explanations
Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:
(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
<span>6. 9 + 11y – y2 + y3 – 4y4
This expression has 5 terms.
7. </span><span>(2a + 3b) + 4c = 2a + (3b + 4c)
Associative property of addition, because you're moving the parentheses.
</span><span>
8. </span><span>If m = 4 and n = 4, then m = n
Substitution property.
9. </span><span>-9 + 5 – (-2) + 17
-4 - (-2) + 17
-2 + 17
15
10. </span><span>- 35 - (- 13 )
-22
11. -40 + 23 - 19 + 31
-17 - 19 + 21
36 + 21
57
12.</span><span> (-2)³
-2 * -2 * -2
-8
13. - 925
14. </span><span>15(3y – 5)
45y - 75
15. (7 + 6w)6
42 + 36w
16. </span><span>3n+57
17. 9p-63</span>
Answer:
the student should score atleast 229 to be among the top 10%.
Step-by-step explanation:
in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)
after finding the the value at this z-score, we can find the value of x at which the score is in the top 10% range.
we can find the z-score either using a normal distribution table or calculator. (but be sure what area is it calculating)
looking at the table the closest value we can find is, 0.4015 at z = 1.29 ((it is above 40% because we want to be in the top 10% range)
the student should score atleast 229 to be among the top 10%.
I hope this helps its step 2 gl