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3 years ago

Which number has the greatest absolute value? A) 50 B) 30 C) −20 D) −60

Mathematics

1 answer:

DiKsa [7]3 years ago

6 0

Answer:

D -60

Step-by-step explanation:

-60 absolute value is 60 which is greater than the absolute value of 50, 30, and -20

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The Reunion Tower is one of the most recognizable landmarks in Dallas, Texas due to the giant sphere that sits atop the structur

ValentinkaMS [17]

The volume of a sphere uses the following formula:

$V = \frac{4}{3}\pi r^{3}$

Because the question asks to use 3.14 in place of pi, the formula will now look like this:

$V = (\frac{4}{3})(3.14)r^{3} = 4.18\overline{66} r^{3}$

We are given a diameter of 118 feet. The radius is half of the diameter, so divide the diameter by 2 to find the radius:

$118 \div 2 = 59$
$r = 59$

Plug this value into the formula, and solve with a calculator:

$4.18\overline{66} \times 59^3 = 4.18\overline{66} \times 205379 = 859853.413$

Although our result is one cubic foot off, the answer is <span>A. 859,852ft^3.

(859,852 is the result if the constant in the given formula is 4.18666, but the result with infinitely repeating numbers is 859,853.)</span>

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3 years ago

Solve the inequality. <br><br>The solution is....

MAVERICK [17]

Answer:

Step-by-step explanation:

-x - 6 > 21 - 28x

27x - 6 > 21

27x > 27

x > 1

8 0

4 years ago

HELPPPP PLEASEEEEE !!!!!What is the surface area of the composite solid?

Bingel [31]

Answer: answer C is correct or 1,808 meters squared

Step-by-step explanation:

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4 years ago

The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

Evaluate the following expressions using the order of operations

Ahat [919]

7*8-4(6-2)+18
56-4(4)+18
56-16+18
40+18
58

6^2-(8*3)+2^2(7*3)
36-24+4(21)
12+84
96

7 0

4 years ago