Answer:
a) 0.59871
b) 0.22663
e) 0.95994
Step-by-step explanation:
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 65 inches
σ is the population standard deviation = 4 inches
a). Taller than 64 inches
This means x > 64
Hence,
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x<64) = 0.40129
P(x>64) = 1 - P(x<64) = 0.59871
b.) shorter than 62 inches
Hence,
62 - 65/4
=- 3/4 =- 0.75
P-value from Z-Table:
P(x<62) = 0.22663
c.) between 64 inches and 68 inches
Hence,
for 64 inches
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x = 64) = 0.40129
For 68 inches
Hence,
68 - 65/4
= 3/4= 0.75
P-value from Z-Table:
P(x = 68) = 0.77337
d.) between 58 and 68 inches
e.) taller than 58 inches
Hence,
58 - 65/4
= -6/4 = -1.5
P-value from Z-Table:
P(x<58) = 0.040059
P(x>58) = 1 - P(x<58) = 0.95994
Answer:
Step-by-step explanation:
Start with why C isn't the answer.
y = 1.8^0 . The power is zero. Anything to the zero power (anything except 0 to the 0 power) is 1. So 1.8^0 is 1 not something else. C assumes that somehow 0,1.8 turns into 1.8. It does not. The second part is also wrong but you don't need it. However here it is.
x = 0 y = 3
x = 1 y = 3 * 1.8 = 5.4
x = 2 y = 3 * 1.8^2 = 3*3.24 = 9.72
You should be able to see that if you multiply 5.4 by 3, you don't get 9.72
C just does not work.
=======
The actual answer is A. That's exactly what the graph does. If you multiply 5.4 * 1.8 you should get 9.72. Just for completeness, I've included the graph.
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
Tap for more steps...
2x2+x+14x+7
Factor out the greatest common factor from each group.
Tap for more steps...
x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)
24.12 because you have to divide 34 into 820 and then you get 24.12
