Answer:
g = 21
h = 8
Step-by-step explanation:
3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)
Simplify to get g = 21.
Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)
Given ratio: 5 (goats) : (to) 8 (sheep.)
The question asked that if Giles had 32 sheep, then how many goats would he have. We can figure out how many goats he would have by cross multiplying fractions.
5 z
- x -
8 32
To figure out the z variable, we simply cross multiply 5 and 32, which gets us 160. Now we divide it by 8. Whatever we get for z, that is our answer for goats. The answer would be <span>20.
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Answer:
r in terms of p is 15/p , and when p is -5 than x = - 3
Answer:
c. 1.67 standard deviations above the mean
Step-by-step explanation:
The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:

In which
is the mean and
is the standard deviation.
A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.
In this problem, we have that:

Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?
This is Z when X = 13. So



So this is 1.67 standard deviations above the mean.
Hey there!
We'll be writing them in slope-intercept form. Slope intercept form is defined as:
y = mx + b
With m being the slope and b as the y-intercept. Now, we can just plug them in.
1)
y = -3x - 2
Slope = -3
Y intercept = -2
2) y = 5x + 7
Slope = 5
Y intercept = 7
3) y = -3/4x + 3
Slope = -3/4
Y intercept = 3
4) y = 5/2x - 6
Intercept = -6
Slope = -5/2
Hope this helps!