Answer:
y= -2x-22.
Step-by-step explanation:
1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;
2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);
3) the required equation in slope-interception form is:
y+16= -2x-6; ⇒ y= -2x-22.
note, the provided solution is not the only and shortest way.
Answer: The y-intercept would be 10
Step-by-step explanation:
(-2, 15), (1, 6), (2, 3), (4, -3), (7, -12) are the coordinate points, you can graph it to find the intercept. I used the graphing calculator desmos.
Answer:
Julie need to sell at least 45 shirts to break even.
Step-by-step explanation:
The selling cost of each shirt = $ 20
Cost of each shirt = $6
The fixed cost per month = $420
Number of shirts she can make = 80
Hence, the <u>cost of making 80 shirts</u> = 80 x $6 = $480
So, her total capital investment of the month
= Cost of shirts made + Fixed cost = $420 + $480 = $900
Now, let us assume she sell k number of shirts.
⇒ $20 x k = $900
or, k = 900 / 20 = 45
or, k = 45
Hence, Julie need to sell at least 45 shirts to break even.
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that 
The test-statistic is:
The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Answer:
62 degrees
Step-by-step explanation:
180 = x + 118
180 - 118 = x
62 = x
