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3 years ago

What is the value of x? Please explain...

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:
X=14

Explanation:
The question tells us that the triangle is an equilateral triangle, meaning all of its side lengths are equal.

The perimeter of the triangle is all the lengths added together, so we can say this:

Perimeter=3(1.75x-2)

And since the question tells us the perimeter, we can input that into the equation as well.

67.5= 3(1.75x-2)

And now we solve:

67.5= 3(1.75x-2)
Distribute 3 into the parentheses
67.5=5.25x-6
Combine like terms (move -6 to the other side)
67.6+6=5.25x
73.6=5.25x
Divide both sides by 5.25
73.6/5.25=5.25x/5.25
14=x

I hope this helps! Please comment if you have any questions.

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UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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 interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$

Either no particle arrives, or at least one does. 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

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

In which

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

$P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081$

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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3 years ago

Romeo paid $380.75 in car repairs. The sales tax rate is 10%. Which of the following is a reasonable estimate of the tax Romeo

xxMikexx [17]

Answer:

ADD THE TEN PERCENT IT WOULD BE 418.82

Step-by-step explanation:

ADDDDDDDDDDDDDDDDDDDD

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2 years ago

A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

kodGreya [7K]

Answer:

Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

Step-by-step explanation:

Required vector is consists of the two components

vx= 2+4=6 units and vy= 1 unit and vx ⊥ vy

We will use Pythagorian theorem to find intensity of the vector v

v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units

The angle ∡α between vector and east direction we wil find with tanα

tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

Good luck!!!

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3 years ago

A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total

larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>

Algebraic expression is made up of numbers, operations and variables.

Algebraic expression is true for all values of x.

For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

Learn more about algebraic expression here:

brainly.com/question/953809

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1 year ago

(04.02 LC)

True [87]

The graph is the horizontal line:

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Function 2 is

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3 years ago