Answer:
a) 95% of the widget weights lie between 29 and 57 ounces.
b) What percentage of the widget weights lie between 12 and 57 ounces? about 97.5%
c) What percentage of the widget weights lie above 30? about 97.5%
Step-by-step explanation:
The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.
a) 29 represents two standard deviations below the mean, and 57 represents two standard deviations above the mean, so, 95% of the widget weights lie between 29 and 57 ounces.
b) 22 represents three standard deviations below the mean, and the percentage of the widget weights below 22 is only 0.15%. We can say that the percentage of widget weights below 12 is about 0. Equivalently we can say that the percentage of widget weights between 12 an 43 is about 50% and the percentage of widget weights between 43 and 57 is 47.5%. Therefore, the percentage of the widget weights that lie between 12 and 57 ounces is about 97.5%
c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%
The value of x that makes sense in this context is; 32.
The dimensions of the new garden is; 64 by 16.
<h3>How to find the real dimensions of the rectangle?</h3>
The expression that represents the problem statement is;
x² = (2x)(x – 16)
Expanding the bracket gives us;
x² = 2x² – 32x
x² - 32x = 0
x(x - 32) = 0
Thus; x = 0 or x = 32
x can't be 0 and as such the value of x is 32.
Thus;
The length of the new garden is; l = 2x = 64.
The width of the new garden is; w = x - 16 = 32 - 16 = 16
The dimensions of the new garden are therefore; 64 by 16
Read more about Rectangle Dimensions at; brainly.com/question/17297081
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What graph can you add a picture?.
Answer:
Gradient of the line with points (-4,1)&(3,-2) is
(-2-1)÷(3-(-4))=-3/7
Then the equation of that^ line is
Y-1=-3/7(x-(-4))--->y=-3/7x-5/7
Since this^ line is perpendicular to the line you are looking for.the gradient of the line you are looking for is -1÷(-3/7)=7/3
The equation of the line you are looking for is
Y-1=7/3(x-2)--->y=7/3x-11/3
[Cause the line you are looking for passes through the point (2,1) and you found the gradient of this line]
Answer:
Total= 35X+55Y
Step-by-step explanation:
Step one:
given data
let the total time for the week be written as
M=W=S= X 35 min
T=TH= Y=55min
Total= M+W+S+T+TH
Therefore the expression can be written as
Total= 35X+55Y
