Given:
The functions are:
To find:
The function 
.
Solution:
We have,
We know that,
On substituting the values of given functions, we get
Therefore, the required function is .
Answer:x=-6
Step-by-step explanation:
You would have no trouble at all if the problem said "11 cows - 8 cows",
or "11 books - 8 books", or "11 cats - 8 cats", or "11 footballs - 8 footballs".
So why does it scare you when the items being counted are 'm's ?
Oh ! Here's another beauty: 11 M&Ms - 8 M&Ms = ?
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
3x+5(4x-6)-8=3x-14
Step-by-step explanation:
Cancel out the terms on both sides of the equation. (3x)
5(4x-6)-8=-14
Distribute 5 through the parentheses.
20x-30-8=-14
Calculate the difference.
20x-38=-14
Move the constant to the right-hand side and change its sign.
20x=-14+28
Calculate the sum.
20x=24
Divide both sides of the equation by 20.
x=6/5, 1.2, or 1 1/5
Answer:
x=6/5, 1.2, or 1 1/5
Hope this helps! :)
