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Marizza181 [45]

4 years ago

14

At about 9:00 PM every night, flights from Chicago, Miami, and Denver arrive at the local airport in a random order. What is the

probability that the Chicago flight will arrive first on any night? Write your answer as a fraction in simplest form

1 answer:

Lelu [443]4 years ago

3 0

Answer:

The answer is 1/3

Step-by-step explanation:

Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!

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Solve the variable<br>v + 5 > 9

Aloiza [94]

Answer:

v > 4 is simplified expression.

Step-by-step explanation:

Given that:

v + 5 > 9

This expression says that when 5 is added to a variable v it will be greater than 9 So we will simplify it to get the value for variable v:

Subtracting 5 from both sides:

v + 5 - 5 > 9 - 5

v > 4

This is the simplified expression for given question.

i hope it will help you!

5 0

3 years ago

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Find the 12th term of each sequence. a9= 120, a14=195

Luda [366]

<u>The general formula for an Arithmetic Progression is :</u>

$\boxed {\boxed {T_n = a_1 + (n-1)d}}$

$\text {Given that } a_9 = 120,$

$T_9 = a_1 + (9 - 1)d = 120$

$a_1 + 8d = 120 \text { ------------------(1)}$

$\text {Given that } a_{14} = 195,$

$T_9 = a_1 + (14 - 1)d = 195$

$a_1 + 13d = 195 \text { ------------------(2)}$

<u>Equation (2) - Equation (1) :
</u>
$13d - 8d = 195 - 120$

$5d = 75$

$d = 15$

<u>Substitute d = 15 into Equation (1) :
</u>
$a_1 + 8(15) = 120$

$a_1 = 120 - 120$

$a_1 = 0$

$\text {Substitute }a_1 = 0 \text{ and d = } 15,$

$\boxed { \boxed { T_n = 15(n -1) }}$

<u>Find 12th term :</u>

$T_{12} = 15(12 -1) = 165$

$\boxed {\boxed {\text {Answer: The 12th term is 165.}}}$

7 0

3 years ago

From how far on a clear day, and assuming there are no obstructions, could you see from the top of the Eiffel Tower? Take the he

PSYCHO15rus [73]

<u>Answer-</u>

From 61.21 km on a clear day you could see from the top of the Eiffel Tower.

<u>Solution-</u>

From the attachment,

OA = Distance between the top of the Eiffel Tower and center of the earth = 6240 km + 300 m = 6240 km + 0.300 km = 6240.3 km

OB = Radius of the earth = 6240 km

Applying trigonometric properties,

$\Rightarrow\cos \theta=\dfrac{OB}{OA}\\\\\Rightarrow \theta=\cos^{-1}\dfrac{OB}{OA}\\\\\Rightarrow \theta=\cos^{-1}\dfrac{6240}{6240.3}\\\\\Rightarrow \theta=0.562$

So,

$\text{Circumference of the earth} = 2\pi \times radius = 2\pi \times 6240=12480\pi=39207 km$

So, the arc length will be,

$=\dfrac{0.562}{360}\times 39207\\\\=61.21\ km$

Therefore, from 61.21 km on a clear day you could see from the top of the Eiffel Tower.

6 0

4 years ago

Simplify (x^2 y^3) (x^4 y^2)<br> a. X^6y^5<br> b. x^8y^6<br> c. 2x^8y^6<br> d. 2x^6y^5

Vaselesa [24]

The correct answer would be A) X^6 Y^5

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4 years ago

Avel is an ergonomist. He plans to measure the amount of office space per employee. What would be an appropriate unit for Avel's

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Persons per square meter.

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4 years ago

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