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1 year ago

Solve the equation: 4p+2 - 5 = 1 3 P = [?]

Mathematics

2 answers:

maksim [4K]1 year ago

4 0

Answer:

p=4

Step-by-step explanation:

4p+2 - 5 = 13

Combine like terms.

4p - 3 = 13

Add 3 to both sides.

4p - 3 + 3 = 13 + 3

4p=16

Divide 4 from both sides.

4p/4=16/4

p=4

The guy above is correct.

Hope this helps!

Please mark as brainliest if this helps!

Molodets [167]1 year ago

3 0

Answer:

p=4

Step-by-step explanation:

4p-3=13

4p=3+13

4p=16

p=4

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What is m∠HLK? thanks

Katen [24]

The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°

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3 years ago

Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that

Maksim231197 [3]

Complete Question

The Brown's Ferry incident of 1975 focused national attention on the ever-present danger of fires breaking out in nuclear power plants. The Nuclear Regulatory Commission has estimated that with present technology there will be on average, one fire for every 10 years for a reactor. Suppose that a certain state has two reactors on line in 2020 and they behave independently of one another. Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that by 2030 at least two fires will have occurred at these reactors?

Answer:

The value is $P(x_1 + x_2 \ge 2 )= 0.5940$

Step-by-step explanation:

From the question we are told that

The rate at which fire breaks out every 10 years is $\lambda = 1$

Generally the probability distribution function for Poisson distribution is mathematically represented as

$P(x) = \frac{\lambda^x}{ k! } * e^{-\lambda}$

Here x represent the number of state which is 2 i.e $x_1 \ \ and \ \ x_2$

Generally the probability that by 2030 at least two fires will have occurred at these reactors is mathematically represented as

$P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 + x_2 \le 1 )$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [P(x_1 + x_2 = 0 ) + P( x_1 + x_2 = 1 )]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [ P(x_1 = 0 , x_2 = 0 ) + P( x_1 = 0 , x_2 = 1 ) + P(x_1 , x_2 = 0)]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 = 0)P(x_2 = 0 ) + P( x_1 = 0 ) P( x_2 = 1 )+ P(x_1 = 1 )P(x_2 = 0)$

=> $P(x_1 + x_2 \ge 2 ) = 1 - \{ [ \frac{1^0}{ 0! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]] )+ ( [ \frac{1^1}{1! } * e^{-1}] * [[ \frac{1^1}{ 1! } * e^{-1}]] ) + ( [ \frac{1^1}{ 1! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]]) \}$

=> $P(x_1 + x_2 \ge 2 )= 1- [[0.3678 * 0.3679] + [0.3678 * 0.3679] + [0.3678 * 0.3679] ]$

$P(x_1 + x_2 \ge 2 )= 0.5940$

3 0

3 years ago

find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

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3 years ago

What point he plot to show how far he runs in 8 minutes and 12 minutes?

Dmitriy789 [7]

Answer:

Step-by-step explanation:

because you subtract it.

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3 years ago

Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds

valkas [14]

Answer:

15 weeks

Step-by-step explanation:

Let the number of weeks = x.

At the end of x weeks,

Jeremy has 120 + 14x,

and Katie has 180 + 10x

We want to know when their amounts are equal.

120 + 14x = 180 + 10x

4x = 60

x = 15

Answer: 15 weeks

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2 years ago

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