Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
<span><span>Answer by </span>nerdybill(7384) (Show Source):You can put this solution on YOUR website!
<span>The sum of 5 times a number and -2, added to nine times a number.
.
Looking at the first part:
The sum of '5 times a number' and '-2'
we get
5x + (-2)
or
5x - 2
.
The above is then "added to nine times a number" to get:
5x - 2 + 9x
Combining x's we get:
14x - 2
</span>
<span>Answer by </span>mizjoice(22) (Show Source):You can put this solution on YOUR website!
<span>Take it piece by piece:
5 times a number, rewrite as 5x
plus -2, nothing to rewrite there, that's already simplified,
added to nine times a number, rewrite as 9x.
Now, rewrite as an equation:
5x-2+9x = (See, it already looks better!)
Now combine like terms:
5x + 9x -2= 14x - 2</span></span>
By definition of the trig functions,
We have 
, so 
, and 
, so 
.
Just to check: we should have
by the Pythagorean theorem. Indeed,
Answer: 22
Step-by-step explanation:
Given
Brittney has 2 and 
yards of fabric
Converting it to a fraction
Wreath require 
yards
Number of wreaths that can be made
She can make 22 wreaths
