Someone plz help me giving brainliest

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

Step-by-step explanation:

-12,-6

Answer:

Download graphing calc it helps a lot <4

There are 216 possible outcomes for each trial of rolling three standard dice.

In probability theory, an outcome is defined as the result of a single experiment or trial. The total number of outcomes in a trial can be determined by the multiplication principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, Michelle is rolling three standard dice simultaneously, which means that there are six possible outcomes for each die. Therefore, the total number of outcomes for a single trial is calculated by multiplying the number of outcomes for each die. Using the multiplication principle, we get:

Number of outcomes for each die = 6

Total number of outcomes for a single trial = 6 x 6 x 6 = 216

It is important to note that not all outcomes are equally likely, and the probability of getting a specific outcome can be calculated by dividing the number of favorable outcomes by the total number of outcomes.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

There is a contradiction, since these two values -10.5 ≠ -4.5 cannot be equal. Therefore, there is an error in the given problem statement or in the computation.

The given expression is an integral of a linear function of x, with the limits of integration set as 0 and 7.

We can evaluate this integral by using the fundamental theorem of calculus, which states that the integral of a function over a given interval is equal to the difference between the values of the antiderivative of the function at the endpoints of the interval.

In this case, we can find the antiderivative of the given function by applying the power rule of integration. We have:
∫(7(x - 3)) dx = (7/2)x^2 - (21/2)x + C

where C is the constant of integration. To evaluate the definite integral over the interval [0,7], we need to plug in the limits of integration into this antiderivative and subtract the results. Thus, we get:

∫[0,7](7(x - 3)) dx = [(7/2)(7^2) - (21/2)(7) + C] - [(7/2)(0^2) - (21/2)(0) + C]
= (171/2) - C

Now, we are given that this integral is equal to the difference of the areas of two triangles, with heights of 7 and base lengths of x-3 and x, respectively. Thus, we have:

(1/2)(7)(7-3) - (1/2)(7)(7) = -4.5

Simplifying this expression, we get:

(1/2)(28) - (1/2)(49) = -4.5
14 - 24.5 = -4.5
-10.5 = -4.5

but, -10.5 ≠ -4.5
Invalid result.

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Answer:

27A+81A =108

Step-by-step explanation:

Answer:

straight line

Step-by-step explanation:

The graph of the given line is a Straight line.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, an equation, y = 6x-1, we need to tell what type of graph will it make,

y = 6x-1

Put x = 0,

y = -1

Put x = 1

y = 5

Put x = 0.5

y = 2

Points =

x = 0, 1, 0.5

y = -1, 5, 2

Plotting the graph, we will get a straight line, also, we know that, a linear equation will always make a straight line,

Hence, the graph of the given line is a Straight line.

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D) The given vectors form a linearly dependent set since u1 + u2=(18,-30,-6)(d).

Two vectors are linearly dependent if one of them is a scalar multiple of the other or if they can be combined to form a zero vector. Here, u2 is five times u1. So, they are linearly dependent.

Additionally, we can see that u1 + u2 is equal to (18,-30,-6), which is a non-zero vector. Thus, we can say that u1 and u2 form a linearly dependent set of vectors in R3.

Option A is not correct because it is not necessary that the given vectors can always be expressed as a linear combination of standard basis vectors. Options C, D, and E are also not correct as they do not provide valid reasons for the given vectors forming a linearly dependent set.

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Answer:

72 × 3 = 216m

216 m is the combined length

Given:

City's population= 785,000.

Calculating of city's population:

\(\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}\)

Calculating the complex fraction:

\(\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}\)

\(\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}\)

Therefore, \(\bold{8.5\% \ of\ 785000\ is\ {66725}}\)

Calculating \(\bold{9.4\%}\) of the city's population:

\(\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}\)

Calculating the complex fraction:

\(\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\\)

Therefore, \(\bold{9.4\%\ of\ 785000\ is\ {73790}}\)

So, the final answer is "Between 66725 and 73790 people use the transit system daily".

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Hi,

x² + 8x + 12 = 0

a= 1 ; b= 8 c= 12

∆ = b² - 4ac

∆ = 8² - 4*1*12

∆ = 64 - 4*12

∆ = 64 - 48

∆ = 16

∆>0 :

x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6

x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2

S= { -6 ; -2 }

x = -6

or x = -2

✅(•‿•)

Answer:

Step-by-step explanation:

x² + 8x + 12 = 0

➺ x² + 2x + 6x = 0

➺ x(x + 2) + 6(x + 2) =0

➺ (x + 6)(x + 2) = 0

Whether, x + 6 = 0

⠀⠀⠀⠀⠀➺ x = -6

⠀⠀or,⠀⠀⠀⠀ x + 2 = 0

⠀⠀⠀⠀⠀⠀➺ x = -2

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

The perimeter of a rectangle of length l and width w is given by:

\(P = 2(l + w)\)

In this problem:

Then:

\(P = 2(l + w)\)

\(280 = 2(10 + 8 + w)\)

\(36 + 2w = 280\)

\(2w = 244\)

\(w = \frac{144}{2}\)

\(w = 122\)

She can make a deck of 122 ft wide.

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Answer:

IQR=8

Step-by-step explanation:

write numbers in ascending order

3 6 9 10 12 13

find the middle, in this case, it's two numbers (10 and 12)

3 6 are on the left, find the middle between them; 3+6/2

4.5

12 and 13 are on the right, find the middle between them;

12+13/2

12.5

IQR=12.5-4.5

If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.

When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.

The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:

The area of a circle with a radius of 24 miles is A = πr²,

which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.

Therefore, the number of people infected is calculated by multiplying the area by the population density:

Residents infected = area x population density

= 1,809.56 x 18.8 ≈ 34,037.

Approximating to the nearest hundred yields 34,000.

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The length of town from the base of the cliff is 848.25 feet

Concept of height and distance

You can use trigonometry formulas to find height and distance from anything. If you know the distance from the Qutub Minar to your current location and the angle at which you can see the top of the Minar, you can find the altitude of the Qutub Minar. Use trigonometry to find the elevation. This is because the ground, minaret elevation, and contour lines all combine to form a 90 degree right triangle between the minaret and the ground.

The distance is usually the "base" of the right triangle formed by the minar's elevation and line of sight. The length of the horizontal plane also forms the base of a triangle parallel to the ground at a given height, so we know the distance. The line of sight forms the "hypotenuse" of a right triangle. Lines perpendicular to the ground form the "height" of the triangle.

To calculate elevation or depression you can use the following formulas:

sinθ = hypotenuse /height.

cosθ = hypotenuse /base,

tanθ = base /height

where θ is the elevation or depression angle.

and in this question the angle of depression is 23 degree and height is 360 feet and we have to calculate the base

tan 23 degree = 360/base

base  = 360/tan 23

=360/0.4244

= 848.25 feet.

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Answer:

B = 94.9

Step-by-step explanation:

If we know 2 of the 3 angles of the triangle, we can estimate the base of the triangle as 90ft, after calculation, if the base was 90ft, side r would be 71.97584 which rounds to 94.9.

Result

Obtuse Scalene Triangle

Side r = 71.97584

Side 53* = 50.39643

Side 34* = 90

C=93°B=34°A=53°b=50.396a=71.976c=90

Answer:

The (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.

Step-by-step explanation:

We can solve this question using the concept of z-score or standardized value, which is given by the formula:

\( \\ z = \frac{x - \mu}{\sigma}\) [1]

Where

\( \\ z\) is the z-score.

\( \\ x\) is the raw score.

\( \\ \mu\) is the population's mean.

\( \\ \sigma\) is the population standard deviation.

Analyzing the question, we have the following data to solve this question:

Therefore, using all this information, we can determine the (population) standard deviation using formula [1].

Then, substituting each value in this formula:

\( \\ z = \frac{x - \mu}{\sigma}\)

Solving it for \( \\ \sigma\)

Multiplying each side of the formula by \( \\ \sigma\)

\( \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}\)

\( \\ \sigma*z = (x - \mu) * 1\)

\( \\ \sigma*z = x - \mu\)

Multiplying each side of the formula by \( \\ \frac{1}{z}\)

\( \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)\)

\( \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}\)

\( \\ 1*\sigma = \frac{x - \mu}{z}\)

\( \\ \sigma = \frac{x - \mu}{z}\)

Then, this formula, solved for \( \\ \sigma\), will permit us to find the value for the population standard deviation asked in the question.

\( \\ \sigma = \frac{431.8 - 450}{-0.7}\)

\( \\ \sigma = \frac{-18.2}{-0.7}\)

\( \\ \sigma = 26\)

Thus, the (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.

Answer:

jes what are they doing to you

Step-by-step explanation:

Based on the information provided, the probability that Mitsugu has a quiz on Wednesday, Thursday,or Friday is 0.53 or 53%.

First, let's analyze the individual probabilities for these days:

Now, to find the total probability all we need to do is to add the partial probabilities previously given as it follows:

0.14 + 0.13 + 0.26 = 0.53

Finally, this number can be multiplied by 100 to find the probability in percentage:

0.53 x 100 = 53%

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Answer:

-30

Step-by-step explanation:

The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.

Let N(t) be the number of bacteria after t hours.

Since the culture grows at a rate proportional to its size, we can write:

dN/dt = kN

where k is the proportionality constant.

This is a separable differential equation, which we can solve by separating the variables and integrating:

dN/N = k dt

ln(N) = kt + C

where C is the constant of integration.

To find the value of C, we use the initial condition that the culture initially contains 50 cells:

ln(50) = k(0) + C

C = ln(50)

Substituting C into the previous equation, we get:

ln(N) = kt + ln(50)

Taking the exponential of both sides, we obtain:

N = e\(^(kt + ln(50)) = 50e^(kt)\)

Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:

N(1.5) = 825

Substituting this into the previous equation, we get:

825 = 50\(e^(1.5k)\)

Taking the natural logarithm of both sides, we obtain:

ln(825/50) = 1.5k

k = ln(825/50) / 1.5

k ≈ 0.4427

Finally, substituting this value of k into the expression we obtained for N(t), we get:

N(t) = 50e\(^(0.4427t)\)

Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.

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The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

Answer:

a₈ = 11

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 25 and d = - 2, then

a₈ = 25 + (7 × - 2)

   = 25 - 14

   = 11

a) The null and alternative hypothesis are

H₀ : μ₁ − μ₂ = 0

H₁ : μ₁ − μ₂<0

b) The test statistic value, tₒ = -1.3748.

c) At α = 0.05, the result is not significant.

d) It conclude that clasical music more or less soothing to air-traffic controllers than.

e) The p- value> α = 0.05, conclusion is that

no relationship in nature between type of music and irritability.

f) Other statistical methods for computing ,

The t-test for difference of two means : As we are required to conclude if the means' difference from two independent samples is indifferent or not, through a very small sample size, hence we will consider the t-test statistic. The test statistic:

t = ( x₁-bar - x₂-bar )/(√s₁²/n₁ - s₂²/n₂)

For classical:

x₁ = 14.69

s₁² = 8.4

n₁ = 6

For modern:

x₁ = 17.20

s₂² = 11. 6

n₂ = 6

(a)We set up:

H₀ : μ₁ − μ₂ = 0

H₁ : μ₁ − μ₂<0

(b) The test statistic is:

t = ( 14.69 - 17.20)/√(8.4/6 - 11.2/6)

= -2.51/√(8.4/6 - 11.2/6)

= -1.3748

c) The degree of freedom, df = 6 + 6- 2 = 10

Using the t-table, The p-value for t = -1.3748 and df = 10, α = 0.05 is equals to the 0.099606. Significance level, α = 0.05

As p-value (=0.099606) > α (=0.05), result is insignificant.

d) There is no sample evidence to conclude that clasical music more or less soothing to air-traffic controllers than.

e) As p-value (=0.099606) > α

Conclusion: Null hypothesis can't be rejected. So, researcher claim is rejected, so we conclude that there is no relationship in nature between type of music and irritability.

d = difference between means/√S²(pool)

= 2.52/√10 = 0.80

This is a moderate to large effect.

r² = t²/( t₀² + df) = (-1.3748)²/(-1.3748 + 10)

= 0.16

Hence, required value are obtained.

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