The width of the scale drawing would be 16 inches. You need to convert the 1/2 ft to inches. Then figure out that 96in is equal to 8 ft. Then you divide 96 by 6.
Answer:
95.44%
Step-by-step explanation:
Mean (m) = 48
Standard deviation (sd) = 9
n = 12
Zscore = (x - m) /sd
X = 30
Zscore = (30 - 48) / 9
Zscore = - 2
X = 66
Zscore = (66 - 48) / 9
Zscore = 2
percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)
P(z < 2) = 0.9772
P(z < - 2) = 0.0228
Hence,
0.9772 - 0.0228 = 0.9544
0.9544 * 100% = 95.44
So to find an average of things, you find the sum of the numbers, divided by the total numbers in the set.
So you add up 258 + 50 = 308.
Divide that by the total numbers (2). 308/2 = 154
Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have

This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2

Complete the square


Rewrite as perfect squares

The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0



take the square root both sides




therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem
Answer:
3x - y = 7
Step-by-step explanation:
point slope form: y= mx + b
standard form: ax + by= c
y= 3x - 7
- subtract 3x from each side
-3x + y = -7
- because "a" in the standard for equation can not be a negative number, multiple each side by -1
3x - y = 7