Triangle FIT has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting F to F′?

They share the same midpoints.
They are diameters of concentric circles.
They are perpendicular to each other.
They are parallel and congruent

Answer:

D: 8/6

Step-by-step explanation:

Slope = y 2 - y 1

x2 - x1

= 8 - 0

6 - 0

=8

6

Answer: D. 8/6

Step-by-step explanation:

To solve this, we can use the slope formula, which is  

\(\frac{y_2 - y_1}{x_2 - x_1}\)      ← this is \(\frac{rise}{run}\)

Plugging in the values of the two points, we get:

\(\frac{8 - 0}{6 - 0} = \frac{8}{6} = \frac{4}{3}\)

In your case though, it is D. 8/6

Answer:

n^2 + 6n + 1

Step-by-step explanation:

Firstly, we have to evaluate AB

What we have to do is to multiply A and B

We have this as;

n(2n + 6) = 2n^2 + 6n

Now, we have to subtract the value of C from here and that is;

(2n^2 + 6n) - (n^2 - 1)

2n^2 + 6n - n^2 + 1

= 2n^2 -n^2 + 6n + 1

= n^2 + 6n + 1

Answer:

B

Step-by-step explanation:

Answer:

7 + 2i is the simplified form

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

The friends have the bus from 5:00 PM to 3:00 AM, so:

3 + 18 − 5 = 15 − 5 = 10 hours.

The cost of renting the bus will be:

$300 + $18 × 10 = $300 + $180 = $480.

The thirty-six students will contribute $12 each for a total of:

$12 × 36 = $432.

So Mr. Jones will pay:

$480 − $432 = $48.

Hope this helped :)

The objects are chosen depending on shape, pattern and texture.  The chosen objects are arranged such a way that they also have aesthetic appeal and harmonic configuration.

When choosing items for your still life composition, think about whether their shape, texture, or pattern is more significant.

After selecting your items, the next step is to arrange them in an aesthetically acceptable and harmonic configuration.

Take your time positioning them and move around your composition to try other angles. A changed viewpoint frequently causes a significant compositional shift.

Try to arrange the objects so that some of them overlap to make it apparent which is in front of which.

Create links that guide the viewer's attention around the composition.

As you rearrange the items, seek for the pleasant arrangement.

Delete some items and add others.

Once you've found one that suits you, move around and try a few more.

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Answer:

x = 15 ; y = 53

Step-by-step explanation:

(7x + 18)° + (4x - 3)° = 180°

11x + 15 = 180

11x = 165

x = 15

(2y + 17)° + (4(15) - 3)° = 180°

2y + 17 + 57 = 180

2y = 106

y = 53

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

≅ $1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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In the scenario described, if every firm in the city hires employees through a process equivalent to simple random sampling, it means that the hiring process is unbiased with respect to race.

Simple random sampling ensures that each individual has an equal chance of being selected for employment, regardless of their race.

Given that the percentage of black individuals in the city is 10%, we would expect the representation of black employees in each firm to be approximately 10% by probabilibilty as well if the hiring process is unbiased. This is because the hiring process is equivalent to a random selection from the city's population.

If the firms adhere to this unbiased hiring process, none of them would be found guilty of discrimination by the z-test or any statistical test. The z-test is used to determine whether the observed difference between two proportions is statistically significant, indicating a deviation from what would be expected due to chance.

In this case, if the firms follow unbiased simple random sampling and the percentage of black employees matches the percentage of black individuals in the surrounding region (10%), there would be no statistically significant difference between the observed proportion of black employees and the expected proportion based on the city's demographics.

Therefore, in this scenario, none of the firms would be found guilty of discrimination based on the z-test or any statistical test because they would be meeting the expected representation of black employees based on the population's demographics.

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Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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Xavier's average speed is 1 kilometer per minute.

To calculate Xavier's average speed, we need to determine the total time it took him to reach Terminal B and the distance traveled.

Given that Henry had completed 3/4 of the journey when Xavier reached Terminal B, it means Xavier took 1/4 of the total time for the journey. Since Xavier reached Terminal B 30 minutes earlier than Henry, we can infer that Xavier took 30 minutes for his part of the journey.

Since Henry was 30 km away from Terminal B when Xavier reached it, we can assume that Xavier traveled the remaining 30 km to reach Terminal B.

Therefore, Xavier's average speed can be calculated as the distance divided by the time:

Average Speed = Distance / Time = 30 km / 30 minutes = 1 km/minute.

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The most likely numeric measure to produce invalid statistical analysis would be  Pain rating as: none = 0; slight = 1; much = 2.

This is because assigning numerical values to categorical data in an arbitrary manner may not accurately represent the true nature of the variable. The assigned values of 0, 1, and 2 may not reflect the actual differences in pain intensity between the categories.

Statistical analysis requires meaningful and quantitative data, and converting qualitative variables into numerical values without a clear and consistent measurement scale can lead to misleading or invalid results. Therefore, option B) would be the most likely to produce invalid statistical analysis.

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Answer: The number of push-ups Noah does.

Step-by-step explanation:

Diego does twice as many push-ups as

Noah (2x) and also 40 jumping jacks (+40). He does 62 exercises (=62).

It's not the amount that Diego does because Diego's amount is twice of Noah's, or twice of x. X would have to equal the number of push-ups Noah does.

The corresponding z-score is -1.80 (rounded to two decimal places).  The x value corresponding to z = -0.25 is x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50)).

To find the x value corresponding to z = -0.25, we need to use the standard normal distribution table or calculator. First, we calculate the z-score:
z = (x - μ) / (s / sqrt(n))
where μ is the population mean (which we don't know), s is the sample standard deviation, n is the sample size, and x is the value we want to find. Rearranging this formula, we get:
x = μ + z * (s / sqrt(n))
Substituting the given values, we get:
x = μ + (-0.25) * (12 / sqrt(50))
x = μ - 1.697
Now we need to find the corresponding value of x from the standard normal distribution table or calculator. Looking up -1.697 in the table, we find that the corresponding area is 0.0445. Since we're looking for the left-tail area (z < 0), we subtract this area from 0.5 (the total area under the curve):
0.5 - 0.0445 = 0.4555
Looking up 0.4555 in the table (or using a calculator), Therefore, the x value corresponding to z = -0.25 is:
x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50))

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\( \huge\hookrightarrow \: \mathfrak{Answer }\)

Original price = 175

Discount = 40%

Selling price :

Selling price = AED 105

Answer:

I think thats the answer. Check it. (:

Step-by-step explanation:

-2.2x3.4= -74.8

42/-6= -7/10

-3 3/5-( 3 1/10)= -21/10

-2 3/4+(3 1/6)= -2

!I might be wrong!

Someone check this!

Thank you!

For the values for a linear relationship given in the tables ,the required equation of line is :

First table : y =2x -1

Second table : y = -4x +1

As given in the question,

Values for a linear relationship

First table :

x :     -2          0          2          4      

y :     -5         -1         3           7

(x₁ , y₁) = (-2 , -5)

(x₂ , y₂) = (0,-1)

Equation of line:

(y -y₁) /(x-x₁) = (y₂ -y₁) /(x₂ -x₁)

⇒ (y+5)/(x+2) = (-1+5)/ (0+2)

⇒ y+5 = 2(x+2)

⇒ y=2x -1

Second table :

x :     -4          -3         -2          -1      

y :     17         13          9           5

(x₁ , y₁) = (-4 , 17)

(x₂ , y₂) = (-3,13)

Equation of line:

(y -y₁) /(x-x₁) = (y₂ -y₁) /(x₂ -x₁)

⇒ (y-17)/(x+4) = (13-17)/ (-3+4)

⇒ y-17 = -4(x+4)

⇒ y=-4x +1

Therefore, for the values for a linear relationship given in the tables ,the required equation of line is :

First table : y =2x -1

Second table : y = -4x +1

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The time taken for the tank to be completely empty is 0.89 hours.

Time can be defined as the measure of past, present, or future events.

To calculate the time it will take for the tank to be completely empty, we use the formula below.

Formula:

Where:

make t the subject of the equation

From the question,

Given:

Substitute these values into equation 2.

Hence, the time taken for the tank to be completely empty is 0.89 hours.

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Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Answer:

35

Step-by-step explanation:

Given that:

Initial number of flip flop pairs = 100

After some sale:

3/5 of flip flops left are blue = 39

The number of flip flops sold :

Let number of flip flops sold = s

Initial number - number sold = number left

Number Sold = (100 - x)

3/5 of What is left = 39

Hence,

3/5 ( 100 - x) = 39

60 - 0.6x = 39

-0.6x = 39 - 60

-0.6x = - 21

x = 21 / 0.6

x = 35

Answer:

All are rational number

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

86 or 32, depending on the correctness of the syntax

Step-by-step explanation:

We use PEMDAS:

Parentheses: 4(2)5 2-6/(-3)

Exponents: I'm assuming that all the syntax is correct (so no exponents).

Multiplication and Division: 40*2+6 = 80 + 6

Addition and Subtraction: 86

If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:

Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))

We now have the following fraction: 128/4

That simplifies to 32

Answer:

you gave no context....so ill just guess 3.

A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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a) The probability that the diet is a success, assuming no effect on cholesterol levels, is approximately 0.9441, using the normal distribution with a continuity correction.

b) Using the binomial distribution, the probability is approximately 0.9447, which closely aligns with the result obtained from the normal distribution approximation.

a) To determine the probability that the diet is a success, we will use the normal distribution with a continuity correction because the number of observations n = 100 is large enough to justify this approximation.

We have:

P(X ≥ 55)

To convert to the standard normal distribution, we calculate the z-score:

z = (55 - np) / sqrt(npq) = (55 - 100(0.55)) / sqrt(100(0.55)(0.45)) = -1.59

Using the standard normal distribution table, we obtain:

P(X ≥ 55) = P(Z ≥ -1.59) = 0.9441 (rounded to four decimal places)

Therefore, the probability that the diet is a success, given that it has no effect on cholesterol levels, is approximately 0.9441. This means that we would expect 94.41% of the sample to have cholesterol levels lowered if the diet had no effect.

b) Using the binomial distribution, we have:

P(X ≥ 55) = 1 - P(X ≤ 54) = 1 - binom.dist(54, 100, 0.55, TRUE) ≈ 0.9447 (rounded to four decimal places)

Therefore, the probability that the diet is a success, given that it has no effect on cholesterol levels, is approximately 0.9447. This is very close to the value obtained using the normal distribution, which suggests that the normal approximation is valid.

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