Answer:
Answer is 81y^4z^4
Step-by-step explanation:
The expression is (-3yz) (-3yz) (-3yz) (-3yz).
Since all the four terms have power 1:
(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1
We know that we can add the powers if the terms have same base
So,
=(-3yz)^1+1+1+1
=(-3yz)^4
=(-3)^4(y)^4(z)^4.
If the power is an even number than the negative sign changes into positive sign.
=3^4y^4z^4
=81y^4z^4
Thus the answer is 81y^4z^4....
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
Answer:
1/2 is the fractional part of cookie which was eaten by Dan.
Step-by-step explanation:
Dan has 2 1/2 cookies and ate 1/2, so we can just subtract the 2 1/2-1/2
which cancels out the 1/2, which is the fractional part.
He has 2 cookies left.
<u>Direct Variation:</u> ![\frac{y}{x} = k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%20k)
![\frac{15}{2} = k](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B2%7D%20%3D%20k)
when y = 7: ![\frac{7}{x} = \frac{15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bx%7D%20%3D%20%5Cfrac%7B15%7D%7B2%7D)
14 = 15x
![\frac{14}{15} = x](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B15%7D%20%3D%20x)
<u>Inverse variation:</u> y*x = k
15 * 2 = k
30 = k
when y = 7: 7 * x = 30
![x = \frac{30}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B30%7D%7B7%7D%20)
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067