Answer:
4.5 ft
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The first option is our answer = 4.5 ft
Answer: do the math
Step-by-step explanation:
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Answer:
a) y =2/3 x + 7.
b) x = -1
c) y = -4/5 x - 1/5
d) y = -3/2 x + 5/2.
Step-by-step explanation:
a) Intercept form y = mx + b where m = 2/3 and b = 7
b) y can take any value but x is always -1.
c) Slope m = (-1-3)/ (1 - -4)
= -4/5
Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:
y - y1 = m(x - x1)
y - -1 = -4/5(x - 1)
y + 1 = -4/5x + 4/5
y = -4/5 x - 1/5
d) The slope m of the line perpendicular to this line is:
-1 / 2/3
m = -3/2.
When x = -1 , y = 4 so using the slope intercept form of a line
y = mx + b
4 = -3/2 * -1 + b where b = the y-intercept.
4 = 3/2 + b
b = 4 - 3/2 = 5/2.
The equation is y = -3/2 x + 5/2.
Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Step-by-step explanation:
Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.
Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).
i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).
Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Find all solutions for w by breaking the absolute value into the positive and negative components.
w = 7, -1
Hope this helps! :)