Answer:
Step-by-step explanation:
Part 1
P(z < -1.45)
Using the z score table
P =
Part 2
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) P(X >52)
x = 52
Mean = 60
Standard deviation = 8
z = 52 - 60/8
z = -1
P-value from Z-Table:
P(x<52) = 0.15866
P(x>52) = 1 - P(x<52) = 0.84134
b) P(48 < x < 64)
Answer: y=-2x+2/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assumed the base is the longer side.
<u>The height of the parallelogram is:</u>
- h/500 = sin 33°
- h = 500 sin 33°
- h = 272.3 ft
<u>The area is:</u>
- A = bh
- A = 790*272.3 = 215117 ft²
Answer:
<h2><em><u>2</u></em></h2>
Step-by-step explanation:
<em><u>To</u></em><em><u> </u></em><em><u>find</u></em><em><u> </u></em><em><u>value</u></em><em><u>:</u></em>
2x + 3z
<em><u>Given</u></em><em><u> </u></em><em><u>values</u></em><em><u>:</u></em>
x = 4, y = 3 and z = -2
<em><u>Solution</u></em><em><u>:</u></em>
2x + 3z
<em>(</em><em>Putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>4</em><em> </em><em>and</em><em> </em><em>z</em><em> </em><em>=</em><em> </em><em>-2</em><em>)</em>
= 2(4) + 3(-2)
= 8 - 6
= <em><u>2 (Ans)</u></em>
Answer:
a(10 - 13)
Step-by-step explanation:
The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.
