Answer:
Step-by-step explanation:
Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.
Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.
To find the 'opposite,' change your slope's sign. Since your slope is positive , the opposite is
.
To find the 'reciprocal,' flip your fraction. This will make your slope .
Your final equation is:
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
15 units²
Step-by-step explanation:
Hi there!
where <em>b</em> is the base and <em>h</em> is the height
Plug in the base (7.5) and height (4):
Therefore, the area of the triangle is 15 units².
I hope this helps!