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
Ask: Which two numbers add up to -12 and multiply to 32?
-8 and -4
Rewrite the expression using the above
<u>= (y - 4)(y - 8)</u>
Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
Answer:
5 5/6
Step-by-step explanation:
Change them into improper fractions. Multiply the denominator by the whole number and then add the numerator. Put that number over the denominator.
2 X 3 = 6 3 X 2 = 6
6 + 1 = 7 6 + 1 = 7
7/3 7/2
New expression: 7/3 + 7/2
Find a common denominator. Both denominators can go into 6.
14/6 + 21/6 = 35/6
Change this back into a mixed number by dividing.
Answer: 5 5/6
