<span>30v + 50x = 10(3v + 5x) (Answer A)
2k</span>² + 4k = 2k(k + 2) (Answer D)<span>
</span>
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x
and solve for y
.
x-intercept: (
2
,
0
)
y-intercept: (
0
,
−
8
)
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = 70 years, standard deviation (σ)= 5.5 years.
a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:
, for a sample size of n, the z score is: 
Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.
For x = 60:

For x = 80:

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%
b) The z score that corresponds to top 10% is -1.28.

Answer:
x = 1 and y = 5
Step-by-step explanation:
Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.
Answer:
C
Step-by-step explanation:
We have the expression:

Rewriting this yields:

Therefore, our answer is C.