MATHEMATICS COLLEGE

Consider △LNM.
Which statements are true for triangle LNM? Check all that apply.

Answers

Answer 1

Answer:

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

In a triangle, the side which does not make an angle is called opposite side of that angle.

From the given graph it is clear that

Opposite side of ∠L is NM.

Option 1 is correct.

Opposite side of ∠M is NL.

Opposite side of ∠N is ML.

Option 2 is correct.

The side next to an angle is called adjacent side.

Adjacent sides of ∠L is LM and LN.

Adjacent sides of ∠M is LM and MN.

Adjacent sides of ∠N is LN and MN.

In a right angled triangle, the opposite sides of a right angle is called hypotenuse.

Angle M is a right angled, so the side NM is hypotenuse. Option 4 is correct.

Therefore the correct options are 1, 2 and 4.

Answer 2

Answer: 1 2 and 4 are correct. the others arent

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Please help! Camille is saving for a laptop that costs about $850. To model her savings plan and determine how many more months it will take her to reach her goal, she recently created this equation, where y represents the total amount saved and x represents the number of months. Which statement about her work is true?'
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2. "three times the sum of a number and 7”.

Answers

The required equation is 3*(n + 7).

It is required to find the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be n.

The sum of a number and 7 is n + 7

Three times the sum of a number and 7 is

3*(n + 7).

Therefore, the required equation is 3*(n + 7).

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Answer:

3 * (7 + n)

Step-by-step explanation:

Three times - '3 *'

The sum of a number and 7 - '(7 + n)'

"Three times the sum of a number and 7” would be '3 * (7 + n)'.

Hope this helps.

The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past and finds that the mean replacement time is 3.9 years. Assuming that the laptop replacement times have a mean of 4.2 years and a standard deviation of 0.6 years, find the probability that 38 randomly selected laptops will have a mean replacement time of 3.9 years or less.

Answers

Answer: 0.0010

Step-by-step explanation:

Given the following :

Population Mean(m) = 4.2 years

Sample mean (s) = 3.9

Standard deviation (sd) = 0.6

Number of samples (n) = 38

Calculate the test statistic (z) :

(sample mean - population mean) / (sd / √n)

Z = (3.9 - 4.2) / (0.6 / √38)

Z = (- 0.3) / (0.6 / 6.1644140)

Z = -0.3 / 0.0973328

Z = - 3.0822086

Z = - 3.08

From the z table :

P(Z ≤ - 3.08) = 0.0010

Final answer:

The probability that the mean replacement time of a random sample of 38 laptops is 3.9 years or less, assuming the true mean replacement time is 4.2 years, is approximately 0.0038 or 0.38%

Explanation:

To solve this problem, we will use the formula for the Z score of a sample mean:
Z = (x - µ) / (σ/ √n)

In this case, the mean µ is 4.2 years, the standard deviation σ is 0.6 years, the sample mean x is 3.9 years, and the sample size n is 38.

Substituting the given values into the formula, we get:
Z = (3.9 - 4.2) / (0.6/√38) = -2.67.

We can then look up this Z score in the Z score table or use statistical software to find the corresponding probability. The probability associated with Z = -2.67 is approximately 0.0038. This means there's about a 0.38% chance that the mean replacement time of a random sample of 38 laptops will be 3.9 years or less, assuming the true mean replacement time is 4.2 years.

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Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

Answers

$\mathbb P(Z<-a)=0.2451\implies -a\approx-0.69\implies a\approx0.69$

Two lines in the plane of a floor are

Answers

Answer:

never skew

Step-by-step explanation:

Seven more than twice a number is 23.

Answers

Answer:

x=8

Step-by-step explanation:

In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 7, you get 23.

To solve this, you first write the problem as an algebra equation as follows: 2x + 7 = 23

Then you solve the equation by subtracting 7 from both sides, and then divide both sides by 2. Here is the math to illustrate better:

2x + 7 = 23

2x + 7 - 7 = 23 - 7

2x = 16

2x/2 = 16/2

x = 8

Answer:

i think it is 16

Step-by-step explanation:

16 + 7 = 23

Find the seventh term of thegeometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
[?]

Answers

Answer:

$T_7 = (64)/(729)$

Step-by-step explanation:

Given

$a =1$

$r = (2)/(3)$

Required

Determine the 7th term

The nth term of a gp is:

$T_n = a * r^{n-1$

So, we have:

$T_7 = 1 * (2)/(3)^{7-1$

$T_7 = 1 * (2)/(3)^{6$

$T_7 = 1 * (2^6)/(3^6)$

$T_7 = 1 * (64)/(729)$

$T_7 = (64)/(729)$

Consider △LNM.Which statements are true for triangle LNM? Check all that apply.

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Related Questions

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What is equation?

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Final answer:

Explanation:

Learn more about Probability here:

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Consider △LNM.
Which statements are true for triangle LNM? Check all that apply.