Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:
The distance of the top of the pole to the ground is 15.43 ft.
16z + 29z = pz - v....for z
45z = pz - v
45z - pz = -v
z(45 - p) = -v
z = -v / (45 - p) <==
Answer:
<h2>One kilogram of oranges cost $3.</h2>
Step-by-step explanation:
The problem states
- 1 kilogram of bananas costs as much as 2 kilograms of oranges. (
) - 30 kilograms of oranges plues 45 kilograms of bananas cost $360.
Let's call 
one kilogram bananas and 
one kilogram oranges. The cost is related by
Also, we know by given
Replacing the first equation into the second one, we have
Then, we find the other value
Therefore, one kilogram of oranges cost $3.
Answer:
Step-by-step explanation:
The mean of the gas mileages is 317÷16=19.8125
317 is the sum total of all the figures and 16 is the number of figures in the distribution
Standard deviation is the square root of the variance and the variance is the mean of all squared deviations
The 16 squared deviations are
7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382
56.4382÷16 = 3.5274
This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)
(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean
2×1.88=3.76
19.8125-3.76 = 16.05
19.8125+3.76= 23.57
The gas mileages are between 16.05 and 23.57
(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%
(D) the empirical rule gives the more accurate prediction
Answer:
24 kg
Step-by-step explanation:
40/5 = 8 and 3x8 = 24
