If you are talking about length of an item it can only be positive.
If you talk about time it can only be positive.
If you talk about distance traveled it can only be positive.
Things that cannot be negative in the real world, cannot be negative on the graph.
9] Rocky Falls would be 13.4°F at sunrise.
Use the equation 23.1 + (-9.7) = x, where x is the temperature at sunrise (13.4)
23.1 + (-9.7) = 23.1 - 9.7
Solve so that x = 13.4
10] Jamie originally had $263.25 in her account.
Just add how much she spent (135.75 + 32) to how much she ended up with (95.5)
135.75 + 95.5 + 32 = 263.25
If you are asking how much she has if she started out with $95.50 before going to the Mets game,
95.5 - (135.75 + 32) = -$72.25
Or 95.5 - 135.75 - 32, same result of -72.25
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
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y
V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h
V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y
