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.
<span>=<span>49</span></span><span>(Decimal: 0.444444)</span>
Answer:
Step-by-step explanation:
To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.
Convert to slope intercept form by using the distributive property.
Step-by-step explanation:
x+100°=180°{being straight angle}
x=180-100
x=80°
again,
45°+x+y=180°{sum of angle of triangle}
45+80+y=180
y=180-125°
y=55°
hope it helps.
Answer:
r = 0.0424 cm (3sf)
Step-by-step explanation:
it makes 150 rev/sec
1 revolution = 1 circumference = 2pi*r
so every second the spool goes through 2*pi*r*150 of distance
we know that the rate of pulling is 40cm/sec
so 2pi*r*150 = 40
r = 40/(2pi*150), which is 0.04244131816 cm.
check: Circumference is 2pi*r = 0.2666
now multiply by 150rev/sec = 40 cm/sec
