Which equation is true when X = -5?
2/5x+15-17
7+5x = 18
6- 4x = -14
0.5-2.4x = 12.5

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Answer:

D

Step-by-step explanation:

the angle vertically opposite 30° is also 30° since vertically opposite angles are congruent.

then this angle and x are same- side interior angles and sum to 180°, that is

x + 30° = 180° ( subtract 30° from both sides )

x = 150°

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6

The height is 2,236.66 feet.

An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.

Given:

The model obtained using a regression solver with Coefficient

ŷ = 219.28876X + 109.56303

height = y

x = time

Using the model obtained;

The height, to the nearest foot, at a time, x = 9.7seconds.

ŷ = 219.28876X + 109.56303

ŷ = 219.28876(9.7) + 109.56303

ŷ = 2,236.66

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Answer:47

Step-by-step explanation:

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

Answer:

I got the answer 5/9

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

If you graph the coordinates, you'll be able to find the slope. if you learned, you should know rise/run

Answer: -77\(\frac{5}{8}\)

Step-by-step explanation:

Answer:

275 is the answer

Step-by-step explanation:

hope it will help you

Answer:

m = -1

Step-by-step explanation:

m= -(4+ m) + 2

Distribute

m = -4-m+2

m = -2-m

Add m to each side

m+m = -2-m+m

2m = -2

2m/2 = -2/2

m = -1

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

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Answer:

Step-by-step explanation:

The answer is 7   1/3

To find how long each station was originally supposed to last, we can set up an equation based on the given information.

Let's assume that each station was supposed to last for "x" minutes. Since there were 6 stations, the total time for the field day without the fire drill would be 6 times "x", which is 6x minutes.

However, due to the fire drill, they lost 30 minutes, so the total time available for the field day became 90 minutes.

We can set up the equation as follows:

6x - 30 = 90

To solve for "x", we can add 30 to both sides of the equation:

6x = 120

Finally, we can divide both sides by 6 to isolate "x":

x = 20

Therefore, each station was originally supposed to last for 20 minutes.

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Answer:

all the sides and corners have lengths may i have brainly

Step-by-step explanation:

First, let's calculate the z-score for the value 2.025 liters using the formula:

z = (x - μ) / σ

Where:

x = the value we want to calculate the probability for (2.025 liters)

μ = the mean of the process (2.050 liters)

σ = the standard deviation of the process (0.020 liters)

Plugging in the values:

z = (2.025 - 2.050) / 0.020

Simplifying:

z= -0.025 / 0.020

z = -1.25

Now, we can look up the probability corresponding to a z-score of -1.25 in the standard normal distribution table or use a calculator.

Using a standard normal distribution table, the probability is approximately 0.1056. This means that the probability of randomly selecting an output from the process that is less than 2.025 liters is approximately 0.1056 or 10.56%.

Alternatively, you can use a calculator or statistical software to find the probability directly by looking up the cumulative distribution function (CDF) of the standard normal distribution at -1.25. The result will also be approximately 0.1056 or 10.56%.

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Answer:

  n = 6

Step-by-step explanation:

The left side is 8/12 = 2/3 the length of the bottom, so ...

  n = (2/3)(9)

  n = 6

The equation of the tangent line to the curve \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at the point (1, 0) is y = (2/3)x - 2/3.

To find the equation of the tangent line to the curve at the point (1, 0), we need to find the slope of the tangent line and then use the point-slope form of a linear equation.
Let's differentiate \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) using the quotient rule:

\(y' = [(2x)(x^2 + x + 1) - (x^2 - 1)(2x + 1)] / (x^2 + x + 1)^2\)
Substituting x = 1 into the derivative expression:

\(y'(1) = [(2(1))(1^2 + 1 + 1) - (1^2 - 1)(2(1) + 1)] / (1^2 + 1 + 1)^2\)

        \(= [2(3) - (0)(3)] / (3)^2\)

        = 6/9

        = 2/3

Using the point-slope form y - y₁ = m(x - x₁), where (x₁, y₁) = (1, 0) and m = 2/3 we get,  
y - 0 = (2/3)(x - 1)

y = (2/3)x - 2/3

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁) where (x₁, y₁) is a point on the line, and m is the slope of the line.

Therefore, the equation of the tangent line to the curve y = (x^2 - 1) / (x^2 + x + 1) at the point (1, 0) is y = (2/3)x - 2/3.

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The complete question is:

Find an equation of the tangent line to the given curve at the specified point, \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at (1,0).

The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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Answer: that should be correct!!

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

10

+ 9

------

19

Answer:

19

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees

therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 =  69 degrees

The given statement has been proved that the inductive proof by mathematics is complete because both the base and the inductive processes have been established.

What is mathematical induction?

A mathematical method known as mathematical induction is used to demonstrate that a claim, formula, or theorem holds true for every natural number.

By mathematical induction,

Let P(n) be the equation.

1 + 6 + 11 + 16 +... + (5n − 4) = n (5n − 3) 2

then show that P(n) is true for every integer n ≥ 1.

Show that P (1) is true:

Select P (1) from the choices below.

1 + (5 · 1 − 4) = 1 · (5 · 1 − 3) 1

1 · (5 · 1 − 3) 1 = 1 · (5 · 1 − 3) 2

P (1) = 5 · 1 − 4

P (1) = 1 · (5 · 1 − 3) 2

The selected statement is true because both sides of the equation equal.

Show that for each integer k ≥ 1, if P(k) is true, then P (k + 1) is true:

Let k be any integer with k ≥ 1 and suppose that P(k) is true.

The left-hand side of P(k) is.

5k − 4 1 + (5k − 4) 1 + 6 + 11 + 16 + ⋯ + (5k − 4),

and the right-hand side of P(k) is equal.

[The two sides of P(k) are equal, according to the inductive theory.]

Show that P (k + 1) is true.

P (k + 1) is the equation.

1 + 6 + 11 + 16 + ⋯ + (5(k + 1) − 4)

After substitution from the inductive hypothesis,

The left-hand side of P (k + 1),

k (5k − 3)/2 ((k − 1) (5k − 3))/2 ((k + 1) (5k − 3))/2 ((k − 1) (5(k − 1) − 3))/2 + (5(k + 1) − 4).

When the left-hand and right-hand sides of P (k + 1) are simplified, they both can be shown to equal.

Hence P (k + 1) is true, which completes the inductive step.

Therefore, the inductive proof by mathematics is complete because both the base and the inductive processes have been established.

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Answer:

yes..(one y-value for each x-value)

The point (16, -99) is not a perfect fit in the linear model, and the slope-intercept equation for the remaining four data points (-8, 9), (-6, -9), (-2, -18), and (8, -63) is y = (-15/2)x + 3; the y-intercept (3) represents the net approval rating for the president when there is no change in the Dow Jones, and the slope (-15/2) indicates that for every 1-point increase in the Dow Jones, the net approval rating is expected to decrease by 7.5 percentage points.

To determine which point is not a perfect fit in the linear model, we need to compute the slopes for each pair of consecutive data points.

The slope of a linear model represents the rate of change between the two variables.

Using the given data points:

Points: -8, -6, -2, 8, 16

Percentage Points: 9, -9, -18, -63, -99

Let's compute the slopes:

Slope between (-8, 9) and (-6, -9):

slope = (change in percentage points) / (change in points)

slope = (-9 - 9) / (-6 - (-8))

slope = -18 / 2

slope = -9

Slope between (-6, -9) and (-2, -18):

slope = (-18 - (-9)) / (-2 - (-6))

slope = -9 / 4.0

slope = -2.25

Slope between (-2, -18) and (8, -63):

slope = (-63 - (-18)) / (8 - (-2))

slope = -45 / 10

slope = -4.5

Slope between (8, -63) and (16, -99):

slope = (-99 - (-63)) / (16 - 8)

slope = -36 / 8

slope = -4.5

The slopes for the first three pairs of points (-9, -2.25, -4.5) match, indicating a consistent linear relationship.

However, the slope between the last two points is -4.5, not -4.25 like the others.

Therefore, the point (16, -99) is not a perfect fit.

Removing the point (16, -99), we have four remaining data points:

(-8, 9), (-6, -9), (-2, -18), and (8, -63).

To find the slope-intercept equation for the linear model that passes through these four points, we can use the formula:

y = mx + b

Using the slope formula with two of the remaining points:

-9 = m(-6) + b

-18 = m(-2) + b

Solving these two equations simultaneously, we find:

m = -9/4

b = 9/2

So the slope-intercept equation for the linear model is:

y = (-9/4)x + 9/2

The practical meaning of the y-intercept (9/2) is that when the previous day's change in the Dow Jones is 0 points, the net approval rating for the president of the United States is expected to be 9/2 percentage points, or 4.5 percentage points.

The practical meaning of the slope (-9/4) is that for every 1-point increase in the previous day's change in the Dow Jones, the net approval rating for the president of the United States is expected to decrease by 9/4 percentage points, or 2.25 percentage points.

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The true statements about the slope are:

The graph that completes the question is added as an attachment'

From the question, we have

Slope of the trend line = 15

This can be represented as

Slope = 15

As a general rule

These mean that (a) and (e) are true options

Also, we have:

Slope = 15

Multiply by 1000

Value(1000) = 15 * 1000

Evaluate

Value(1000) = 15000

This means that sales increase $15,000 as ads increase by $1,000.

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Answer:

Negative slope Hopefully

Step-by-step explanation:

Slope formula : (5 - (-1)) / (-4 - 1)

6/-5 = a negative slope

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept, we are given m=2 so

y=2x+b, using point (3,-3) we can solve for b

-3=2(3)+b

-3=6+b

b=-9

y=2x-9

When the cash flow of the alternative with the lower initial investment is subtracted from that with the higher initial Investment, a rate of return on the incremental cash flow that equals or exceeds the MARR means the lower initial investment alternative is the more attractive is a True statement.

MARR refers to the minimum acceptable rate of return. It's also known as the hurdle rate or the cut-off rate. It is utilized in capital budgeting to calculate whether a proposed investment in a capital project is economically viable or not.

The MARR is often determined by considering factors such as the risk associated with the investment, the cost of capital, and the expected rate of inflation.

The given statement, "When the cash flow of the alternative with the lower initial investment is subtracted from that with the higher initial Investment, a rate of return on the incremental cash flow that equals or exceeds the MARR means the lower initial investment alternative is the more attractive" is a true statement.

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A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

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Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation: