Answer:
a) Scores of 2 and higher are significantly high
b) Scores of -2 and lower are significantly low
c) Scores between -2 and 2 are not significant.
Step-by-step explanation:
Mean = 0
Standard deviation = 1
a. significantly high (or at least 2 standard deviations above the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
So scores of 2 and higher are significantly high
b. significantly low (or at least 2 standard deviations below the mean).
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores of -2 and lower are significantly low
c. not significant (or less than 2 standard deviations away from the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores between -2 and 2 are not significant.
Answer:
(x-3) (x-9) or (x-9) (x-3)
Step-by-step explanation:
1) what * what=27
and what+what=-12
factors of 27: 9,3 -9,-3 1,27 -1,27
-9+-3=-12
hence -9 and -3 are our factors
(substitute -9 and -3 in place of -12)
x^2-9x-3x+27
split into two groups:
x^2-9x
(both have a gcf of x)
x(x-9)
and
-3x+27
(both have a gcf of "-3"
-3(x-9)
take the numbers OUTSIDE the parantheses and put them in a bracket:
(x-3) (x-9)
Hope this helps!
Answer:
Step-by-step explanation:
x + 2 + 57 = 90
x + 59 = 90
x = 31°
x + 2 = 33°
Answer:
24 kilometers
Step-by-step explanation:
It's a simple calculation using cross multiplication:
We have the following ratios:
![\frac{8}{x} = \frac{50,000}{15,000,000,000} \\\\x * 50,000 = 8 * 15,000,000,000\\\\x = 2,400,000](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7Bx%7D%20%3D%20%5Cfrac%7B50%2C000%7D%7B15%2C000%2C000%2C000%7D%20%5C%5C%5C%5Cx%20%2A%2050%2C000%20%3D%208%20%2A%2015%2C000%2C000%2C000%5C%5C%5C%5Cx%20%3D%202%2C400%2C000)
That's 2.4 million of cm... or 24 000 meters... or 24 kilometers.
That's equivalent to 300,000 cups placed side by side. That's a long way!
From the computation below, the area of the label is 707 Inches.
This calculation is carried out using the theorem of the area of curved shapes.
<h3>What is the Curved Surface Area of a Cylinder?</h3>
The formula for the Curved Surface Area of a Cylinder is given as:
<em> 2 </em>
<em> rh</em>
<em> = 2 </em>
x 7.5 x 15.
This assumes that the label also ends at an equal distance from the top of the lid. Hence 15in = 20 - (2.5 x2);
Recall that
= 22/7, hence
= 2 x (22/7) x 7.5 x 15
= 707.142857143
Approximately, this equals; 707 Inches.
Hence, the area of the label = <u>707 inches.</u>
Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.
Learn more about Surface Area of Curved Shapes at:
brainly.com/question/26949672