Answer:
3x = 6
Step-by-step explanation:
Combine:
6x + 5y =16
- (6x + 2y=10)
--------------------
3y = 6, so that y = 2 (We weren't actually asked to find the solution.)
<span><span>Use the Law of Sines to find side b.</span><span>
b / sin(B) = a / sin(A)</span><span>
b / sin(32°) = 11 / sin(47°)</span><span>
b = (sin(32°) x 11) / sin(47°)</span><span> <---- You would use this, so rewritten
11(sin(32))/sin(47) would be the expression, or answer B.)
BTW b = <span>7.970
Hope this helps!
</span></span></span>
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,

a
The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:

c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

Answer:
x=x
Step-by-step explanation:
4x-6+2x=3(2x-2)
4x+2x-6=6x-6
4x+2x=6x
6x=6x
x=x
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
, where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:

Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared