Answer:
y = 1/3 * x + 1
Step-by-step explanation:
slope: -3
A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line
slope of perpendicular line: 1/3
y = mx + b
3 = 1/3 * 6 + b
b = 1
equation: y = 1/3 * x + 1
Answer:
0.3991
Step-by-step explanation:
Given that the weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 18 .
we know that when a sample is taken mean would be the same but std error would vary
when a sample of size 15 is taken we have
![n=15](https://tex.z-dn.net/?f=n%3D15)
Standard error of sample = ![\frac{\sigma}{\sqrt{n} } \\=2.065](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5C%5C%3D2.065)
the probability that the mean weight will be between 16.6 and 21.6 lb
![=P(16.6](https://tex.z-dn.net/?f=%3DP%2816.6%3Cx%3C21.6%29%5C%5C%3DP%28-0.30%3Cz%3C0.77%29%5C%5C%3D0.3991)
So we get the required probability as
0.3991
Answer: zero
Step-by-step explanation: anything multiplied by zero ALWAYS equals zero.
Answer:
10 percent
Step-by-step explanation:
Answer:
sin(x) = ![\frac{7}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B25%7D)
x = 16.26°
Step-by-step explanation:
First use Pythagorean theorem to find the length of the hypotenuse. Use
. Since we know a and b we can plug in to find c. When we plug in we get:
. When we solve this out we get 25 = c.
Now that we know the value of c, we also know sin(x) =
. Using this we see that sin(x) =
.
To get the exact degree value of x, take the inverse sin of
:
which gives us 16.26020° rounded to 16.26°