Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
Answer:
500
Step-by-step explanation:
you just divide 2000 by 4 and get 500
Amount from dimes would be: 0.1y
Amount from quarters = 0.25x
So, total amount = 0.25x + 0.1y
So, she is not correct
Hope this helps!
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
To calculate the z-statistic, we must first calculate the
standard error.
Standard error is standard deviation divided by the square
root of the population. In this case, it is equal to 2.68.
The z-score is defined the distance from the sample to the
population mean in units of standard error.
z = (195 – 208)/2.68 = -4.86
