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3 years ago

The cylinder below has a volume of 4,239 cubic centimeters and a height of 6 centimeters.

Mathematics

1 answer:

Len [333]3 years ago

4 0

Answer:

d ≈ 29.99 cm

Step-by-step explanation:

The volume of a cylinder can be calculated by the formula V = pi * r^2 * h.

V = pi * r^2 * h

We know the volume and the height, so we can use the formula to determine the radius, which can be used to determine the diameter.

4239 = pi * r^2 * 6 (I will add the units later | Divide both sides by 6)

706.5 = pi * r^2 (Divide both sides by pi)

706.5/pi = r^2 (Take the square root of both sides)

sqrt (706.5/pi) = r (r is the radius)

r ≈ 14.99619733762023

The diameter will be double this value.

d ≈ 29.99239467524046

d ≈ 29.99 cm

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The graph below displays the motion of an individual. The starting point is zero (0,0).

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Answer:

The graph above indicates that 1. Starts by drifting far away from the starting point (0,0), Then 2. Stays the same pace but still away from the starting point, finally 3. Starts coming toward the starting point and getting closer again.

Step-by-step explanation:

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3 years ago

ANWSER THE TWO BOTTEM

svp [43]

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3 years ago

On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on

Brut [27]

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3 years ago

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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So

tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

$P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 18 Southwest flights

r = number of success = at least 13 flights arrive late

p = probability of success which in our question is probability that

flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = Number of flights that arrive late.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X $\geq$ 13)

P(X $\geq$ 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= $\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}$

= $\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}$

= 2.5196 $\times 10^{-6}$ .

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3 years ago

Kyle is using 4 pounds of peaches to make pies. How many ounces of peaches is Kyle using for the pies? (1 pound = 16 ounces)

professor190 [17]

Should it be 64 cause that what i got

4 0

4 years ago

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