Answer:
(-2,-10)
Step-by-step explanation:
So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):
5x=9x+8
Subtract 5x from both sides:
0=4x+8
Subtract 8 from both sides:
-8=4x
Divide both sides by 4:
x=-2
If x=-2, then we can just plug it back into the first equation:
y=5(-2)
Simplify:
y=-10
Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
value of 
at x=8 is 
.
<u>Step-by-step explanation:</u>
here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , where x=8 . Let's find out:
⇒
Putting x =8 :
⇒ 
Splitting 8 to power 4 into 8 to power 2 ( 2 times )
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore , value of at x=8 is .
Answer: .24
You get this by multiplying .75 by .32 or by dividing .32 by four and multiplying by 3
