helpppp pweeaasseee?

Given:

\(\Delta MAT\cong \Delta MHT\) and \(m\angle 2=82^\circ\).

To find:

Whether \(m\angle 1=47^\circ\) is possible or not.

Solution:

We have,

\(\Delta MAT\cong \Delta MHT\)

\(\angle AMT\cong \angle HMT\)                      (CPCTC)

\(m\angle 3=m\angle 8\)              ...(i)

And,

\(m\angle 1=m\angle 8\)              ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

\(m\angle 1=m\angle 3\)              ...(iii)

Now,

\(m\angle 1+m\angle 2+m\angle 3=180^\circ\)          (Linear pair)

\(m\angle 1+82^\circ+m\angle 1=180^\circ\)             (Using (iii))

\(2m\angle 1=180^\circ-82^\circ\)

\(2m\angle 1=98^\circ\)

Divide both sides by 2.

\(m\angle 1=\dfrac{98^\circ}{2}\)

\(m\angle 1=49^\circ\)

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement \(m\angle 1=47^\circ\) is not possible.

Answer:

mean=9

median=9

range=16

Based on the given information we have;

Mean = 9 miles ​

Median = 9 miles ​

Range = 6 miles

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.

Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8

Mean= 9

The median=9

The range = maximum - minimum

= 6

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The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.

Given, In 2015, the population of the town decreased by 10%, so \(8250 x 10/100 = 825\)  people left the town, bringing the population down to \(8250 - 825 = 7425.\)

From 2015 to 2020, the population increased by 15% so \(7425 x 15/100 = 1113.75\) people came back to the town, bringing the population to \(7425+1113.75 = 8538.75\)

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To guarantee a different set of leaders/assistants at every meeting, the organization would need at least 45 students.

To see why, consider the first meeting. There are three students chosen to lead/assist, leaving (total number of students - 3) students who did not lead/assist.

For the second meeting, we need to choose three different students from the remaining pool of (total number of students - 3) students. This can be done in (total number of students - 3) choose 3 ways, which is equal to:

(total number of students - 3)! / [3!(total number of students - 6)!]

For there to be a different set of leaders/assistants at every meeting, we need this number to be greater than or equal to 14 (the number of meetings in a semester). So we have:

(total number of students - 3)! / [3!(total number of students - 6)!] >= 14

Simplifying this inequality and solving for total number of students, we get:

(total number of students) * (total number of students - 1) * (total number of students - 2) >= 126

Since we want the smallest possible value for total number of students, we can start by guessing that it is around 10. If we plug in total number of students = 10, we get:

10 * 9 * 8 = 720

This is greater than 126, so we know that the organization needs at least 10 students. Trying total number of students = 11 gives:

11 * 10 * 9 = 990

This is also greater than 126, so we know that the organization needs at least 11 students. Continuing this way, we find that the smallest integer value of total number of students that satisfies the inequality is 45.

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When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.

An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.

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The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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The required value of f (x) / g (x) is (7 - 7i)/10 for the given functions.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows;

f (x) = 2 - 3i and g (x) = 3 - i

we have to determine the value of f (x) / g (x)

As per the question, we have

⇒ f (x) / g (x)

Substitute the values of f (x) and  g (x), and we get

⇒ (2 - 3i) / (3 - i)

⇒ (2 - 3i)(3 + i) / (3 - i)(3 + i)       [∵i²= -1]

⇒ (6 +2i - 9i - i²) / (9 - i²)

⇒ (6 -7i + 1) / (9  + 1)

⇒ (7 - 7i)/10

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Answer:

Step-by-step explanation:

Formula

The sin(A) =  opposite / hypotenuse

Givens

Opposite = CB = 11

Hypotenuse = AB = 61

Solution

Sin(A) = 11/61

Sin(A) = 0.1803

Answer

Sin(A) = 11/61

Sin(A) = 0.1803

The concentration of bacteria in the river water sample is 4.00 cells/100 mL.

The concentration of bacteria in the river water sample can be calculated as follows:Concentration (cells/100 mL) = (Number of colonies/Volume of filter plated) × Dilution factorThe dilution factor is calculated by taking the volume plated (3 mL) and dividing it by the volume filtered (e.g., 100 mL). This will give us the factor by which we must multiply the number of colonies to obtain the concentration of bacteria in the original sample.Assuming that you used a 1:10 dilution of the filtered sample, the calculation would be as follows:Volume of water filtered = 100 mLVolume of sample plated = 3 mLDilution factor = 3 mL/100 mL = 1/33Plate count = 12 coloniesConcentration (cells/100 mL) = (12 colonies/3 mL) × (1/33) = 0.1212 × 33 = 4.00 cells/100 mLTherefore, the concentration of bacteria in the river water sample is 4.00 cells/100 mL.

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The dimensions of the rectangle are 8cm by 16cm

Remember that for a rectangle of length L and width W, the perimeter is.

P = 2*(L + W)

Here we know that:

L = 2*W

And that the perimeter is 48cm, so:

48cm = 2*(L + W)

So we have a system of equations:

L = 2*W

48cm = 2*(L + W)

Replacing the first equation in the second one, we will get:

48 cm = 2*(2W + W)

48cm = 6W

48cm/6 = W

8cm = W

And the length is:

L = 2W = 2*8cm = 16cm

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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The answer cannot be determined without additional information or data.

The question is asking to estimate a person's hourly rate when they have 5 years of experience based on a line of best fit. However, we are not provided with any information about the data or the line of best fit. To estimate the hourly rate, we would need to know the equation of the line of best fit and the slope of the line.

If we were given the equation of the line of best fit, we could plug in 5 for the years of experience and solve for the hourly rate. However, since no such information is provided, we cannot accurately estimate the hourly rate.

In summary, to estimate a person's hourly rate based on a line of best fit, we need to know the equation of the line and the slope. Without this information, we cannot determine the hourly rate with certainty.

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Answer:

I'm pretty sure it's C) 4

explanation:

Answer:

I think it might be A)2

Answer:

x=32/5

Step-by-step explanation:

x/8=4/5

x=(4/5)×8

x=32/5

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The events A, B, and C with probabilities 0.4, 0.5, and 0.6, respectively, cannot be independent as their joint probability does not equal the product of their individual probabilities.

The events A, B, and C cannot be independent because the probability of event C (0.6) is greater than the probabilities of events A (0.4) and B (0.5). For events to be independent, the probability of their joint occurrence should equal the product of their individual probabilities. In this case, if events A, B, and C were independent, we would expect the probability of the joint occurrence (A and B and C) to be 0.4 * 0.5 * 0.6 = 0.12. However, the given probability for event C is 0.6, which is greater than the expected joint probability of 0.12. Therefore, events A, B, and C cannot be independent.

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Answer:

Either A or B.

Step-by-step explanation:

Each number in the sequence is being added by 6.

So you can use the equation: x+6

The ninth term in the sequence would be 36 because 30+6=36

Answer:

A

Step-by-step explanation:

the answer is

-8y>=56

-y>=7

y<=7

If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

Step-by-step explanation:

According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:

a + 2b + 70 = 180 so

a + 2b = 180 -70 and

a + 2b = 110. That's why.

Answer:

40°

Step-by-step explanation:

Given l \\ m,

m∠13 = m∠7 (alternate interior angles)

m∠13+m∠15 = 180° (Sum of angles in a straight line)

\(6x+4+(14x-4)=180\\6x+4+14x-4=180\\20x=180\\x=\frac{180}{20} \\=9\\\\\)

Substitute x to find m∠13

m∠13= 6x+4 = 6(9)+4 = 36 + 4 = 40°

The formula for continuously compounded interest is:

A = Pe^(rt)

Where A is the ending amount, P is the principal, e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

If we want to find how long it takes for the investment to double, we need to solve for t when A = 2P:

2P = Pe^(rt)

Dividing both sides by P and simplifying, we get:

2 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(2) = rt ln(e)

ln(2) = rt

t = ln(2) / r

Substituting the given values, we get:

t = ln(2) / 0.0425

t ≈ 16.3 years

So it will take approximately 16.3 years for the investment to double. Rounded to the nearest tenth of a year, the answer is 16.3 years.

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The distribution will be right-skewed because the distribution has an upper limit that most of the values will be clustered near, and a long left tail. The correct answer is B.

In the given scenario, we can anticipate that the distribution of hours of homework completed by the students will be right-skewed.

Right-skewness occurs when the tail of the distribution extends towards the right, indicating that there are relatively few extreme values on the right side of the distribution.

Considering that the question asks about the number of hours of homework completed, it is reasonable to assume that there might be an upper limit to the number of hours students can allocate for homework, such as limited time available or other commitments.

As a result, most students would likely complete their homework within a certain range, causing the distribution to be clustered near the upper limit.

Additionally, the presence of a long left tail indicates that there will be a few students who have completed a significantly larger number of hours of homework compared to the majority. These extreme values will stretch the distribution towards the left.

It is important to note that the shape of the distribution is influenced by the nature of the variable being measured and the context of the data.

In this case, the presence of an upper limit on the number of hours of homework and the likelihood of some students completing more homework than others contribute to the expected right-skewed distribution.

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Answer:

11.03

Step-by-step explanation:

To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles.

Answer:

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Step-by-step explanation:

epoijreohrj3oewmydwlmh5lu6jm;s,dky608jp

Answer: #3 is 156.86

Step-by-step explanation:

First you Multiply 136.40 by .15. It comes out to 20.46. Then add 136.40 and 20.46 together

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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