Answer:
141.3 cm³
Step-by-step explanation:
V=πr2h=π·32·5≈141.37167cm³
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x
/−6 =
−24
/−6
x=4
Answer:
2.5 miles
Step-by-step explanation:
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72
From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Answer:
395149.22 cubic inches.
Step-by-step explanation:
The volume of a tank with length (L), width (W) and height (H) is given by
V = LWH ........ (1)
Now, the interior dimensions of a tank are 82.5 inches long, 58.5 inches wide, and 81.875 inches tall.
So, L = 82.5 inches, W = 58.5 inches and H = 81.875 inches.
Therefore, V = (82.5 × 58.5 × 81.875) = 395149.22 cubic inches.
Hence, the approximate volume of the tank is 395149.22 cubic inches. (Answer)
