Answer:
20%
Step-by-step explanation:
1/5 of 1 hour = 20 minutes
so 1/5 = 20%
25% + 20% = 45%
0.35 = 35%
45% + 35% = 80%
100% - 80% = 20%
Answer = 20%
Hope this helps!
Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces = sqrt(1^2 + 0.75^2) = 1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 = 0.9375 cm^2
There are 8 of these so the required surface area = 8 * 0.9375
= 7.5 cm^2 Answer
That is a very good question....
Look Grank
you know that:
confidence interval = mean +or- Margin of Error
and
Margin of Error = (z)*(standard deviation) / (sqrt of n)
where n is the number of sample records
So we need to calculate z-value firstly
It says: "<span>we want 90% confidence"
So that:
</span>
<span>confidence90% corresponds to z-value of 1.645
Plug that into our formula of </span><span>Margin of Error:
</span>Margin of Error = (1.645)*(22) / (sqrt of n)
"The sample mean is within 2.7 lb of the population mean" means that Margin of Error is 2.7
<span>Margin of Error:
</span>2.7 = (1.645)*(22) / (sqrt of n)
Now solve for n:
n=179.66~180
SO that 180<span> women must be randomly selected to estimate the mean weight of women in one age group.</span>
