Use the graphs below to help you answer the question.



Which is the best approximation to a solution of the equation ln x = x - 2

- 2
1
2
3

Answer:

P

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.    

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

When two chords intersect each other inside a circle, the products of their segments are equal.

------------------

2x = 6 * 4

2x = 24

Divide both sides by 2

x = 12

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

Answer: A IS CORRECT

Step-by-step explanation:

Answer:

2x+3

Step-by-step explanation:

Answer:

It is the hundredths.

Step-by-step explanation:

The second number after the decimal is the hundredths place.

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

Answer:

0.0000805 0.00000805 805,000 8,050,000. i think

Step-by-step explanation:

Answer:

Using PEMDAS = 75.5

Step-by-step explanation:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Hope this helps!

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.

Answer:

third option: PQ = 1/4(YZ)

Step-by-step explanation:

By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:

In triangle XYZ, AB = 1/2(YZ)

And in triangle XAB, PQ = 1/2(AB)

We can substitute AB into the second equation to get:

PQ = 1/2(1/2(YZ))

PQ = 1/4(YZ)

This is the third option.

Answer:

1

Step-by-step explanation:

We can see that 7 is equal to 6, as opposite angles are the same.

We can also see that 2 is also 6, as corresponding angles are equivalent.

Therefore, 3 is also congruent to 6, as it is equal to 2.

Hope that this helps!

Answer:

A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.

Step-by-step explanation:

The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

The solutions are x = 2.5 or 7.5.

Answer:

22

Step-by-step explanation:

Count the dot

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.

This means that [tex]\mu = 166, \sigma = 29[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be​ safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]

What is the probability that the soldier is mal-adjusted?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Answer:

85

Step-by-step explanation:

So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.

That is exactly what I though.

But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.

So, to find the angle of the trainge, lets take our 155 degree line.

Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:

180-155=missing angle

=

25. So we know that the smallest angle of the traingle is 25.

We also know that a traingle has a total of 180 degrees.

We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:

60+25

=

85

Now subtract it from 180:

180-85

=

95

So that last angle of the traingle is 95.

Now, we need to solve the missing angle of the line that will give us the answer.

Again, we know the line has to be 180, so lets subtract 95 from that:

180-95

=

85

So we know that the missing angle answer is 85!

I hope this isnt too confusing and helps! :)

Answer:

A) 1320 yeards

Step-by-step explanation:

.25 mile is 440 yards so js multiply by 3

Answer:

7sq rt = 2.6457513110645907 = sqrt y^3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.

Answer:

i know this is not the option but i did the maths and the correct answer

the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways

Step-by-step explanation

1.  5.95*5.95= 35.4025

2. but since it is a triangle it should be devided by 2 which is 17.70125

3. since there are 4 triangles you have to multiply it by 4 which is 70.805

4. 5.1*5.1=26.01

5. 26.01+70.805= 96.815