Answer:
1, 2, 3
Step-by-step explanation:
Answer:
The y-intercept is (0, 13).
Step-by-step explanation:
First finf the equation of the line:
The slope = (25- 5) / (3 - -2)
= 20/5
= 4
So its equation is
y - 5 = 4(x + 2)
y = 4x + 13
The y-intercept occurs when x = 0
so y-intercept = 4(0) + 13.
It's (0, 13).
Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30-2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm
<span>Given that your favorite soccer team has 3 games left to finish the season and that the
outcome of each game can be win, lose, or tie.
The number of possible
outcomes that exist is given by
</span>
Answer:
x=8
Step-by-step explanation:
4 ^(1/2x) = 256
Rewriting 256 as a power of 4
4 ^(1/2x) = 4^4
Since the bases are the same, the exponents are the same
1/2x = 4
Multiply each side by 2
1/2x *2 = 4*2
x=8
