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3 years ago

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In a scale model of the Eiffel Tower, 10 centimeters represent 65 meters. If the real Eiffel Tower is approximately 325 meters t

all, how tall is the plastic model?

1 answer:

kupik [55]3 years ago

5 0

Answer:

The plastic model is 50 meters tall

Step-by-step explanation:

Here, we want to know how tall is the plastic model

In the plastic model 10 m represents 65 meters

then x meters plastic = 325 m real

10 * 325 = 65 * x

3250 = 65x

x = 3250/65

x = 50 meters

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Again, please help. i dont know any of this

Levart [38]

$\textrm {Cylinder volume :}$

$\mathrm {Volume = \pi r^{2}{h}}$

$\mathrm {Volume = 3.14 \times (\frac{4}{2})^{2} \times 3}$

$\mathrm {Volume = 3.14 \times 12}$

$\mathrm {Volume = 37.68cm^{3}}$

$\textrm {Rectangular prism volume :}$

$\mathrm {Volume = length \times width \times height}$

$\mathrm {Volume = 6 \times 5 \times 7}$

$\mathrm {Volume = 30 \times 7}$

$\mathrm {Volume = 210cm^{3}}$

$\textrm {Total volume of composite figure :}$

$\textrm {Volume of cylinder + volume of rectangular prism}$

$\mathrm {37.68 + 210}$

$\mathrm {247.68cm^{3}}$

4 0

2 years ago

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U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?

Crazy boy [7]

Answer:

(5, 7 )

Step-by-step explanation:

Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus

midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )

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4 years ago

What is 42/5 as a mixed number

GarryVolchara [31]

2
8 - Or As a decimal it's 8.4
5
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5 0

3 years ago

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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming indep

Gre4nikov [31]

Answer:

a) There is a 99.99997% probability that at least one valve opens.

b) There is a 22.62% probability that at least one valve fails to open.

Step-by-step explanation:

For each valve, there are only two possible outcomes. Either it open, or it does not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.95, n = 5$

(a) What is the probability that at least one valve opens?

Either no valves open, or at least one opens. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

So

$P(X \geq 1) = 1 - P(X = 0)$

$P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} = 0.0000003$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000003 = 0.9999997$

There is a 99.99997% probability that at least one valve opens.

(b) What is the probability that at least one valve fails to open?

Either all valves open, or at least one does not open. The sum of the probabilities of these events is decimal 1. So

$P(X = 5) + P(X \leq 4) = 1$

We want $P(X \leq 4)$

So

$P(X \leq 4) = 1 - P(X = 5)$

$P(X = 5) = C_{5,5}.(0.95)^{5}.(0.05)^{0} = 0.7738$

$P(X \leq 4) = 1 - P(X = 5) = 1 - 0.7738 = 0.2262$

There is a 22.62% probability that at least one valve fails to open.

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3 years ago

Weekly wages at a certain factory are

SSSSS [86.1K]

Answer:

2.15%

Step-by-step explanation:

If you were to get the z-score for both 500 and 550 and then get the probability of both those z-scores. After getting the probability you would subtract both probability and get your answer.

Z-score:

550-400/2=3

500-400/2=2

Probability:

3 (from the Z-table) is .9987

2 (from the Z-table) is .9772

.9987-.9772= .0215

.0215 as a percentage is 2.15%

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3 years ago

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