PLEASE HELP 9 THROUGH
12 ILL MARK BRAINLEST

The  95% prediction interval for the kilometers traveled annually by an automobile owner in the region is 22,303.74 kilometers to 23,696.26 kilometers.

First, let's find the critical value (t) corresponding to a 95% confidence level and 104 degrees of freedom.

We subtract 1 from the sample size (105-1 = 104) to get the degrees of freedom.

So, the critical value for a 95% confidence level and 104 degrees of freedom is 1.984.

Now, Prediction Interval = 23,000 ± 1.984 x (3,600 / √105)

= 23,000 ± 1.984  (3,600 / 10.246)

= 23,000 ± 1.984  351.14

Calculating the range of the prediction interval:

Lower limit = 23,000 - (1.984 x 351.14) = 23,000 - 696.26 = 22,303.74

Upper limit = 23,000 + (1.984 x 351.14) = 23,000 + 696.26 = 23,696.26

Therefore, the 95% prediction interval for the kilometers traveled annually by an automobile owner in the region is 22,303.74 kilometers to 23,696.26 kilometers.

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Between the stomach and the large intestine, also known as the colon or large bowel, is a specially designed tubular structure known as the small intestine that is responsible for absorbing the nutrients from your meals.

An extended tube-like structure that joins the big intestine to the stomach. It folds numerous times to fit inside the abdomen and is around 20 feet long. The three parts of the small intestine are the duodenum, jejunum, and ileum. It aids in the further digestion of stomach-born meals.

The duodenum, jejunum, and ileum are parts of the small intestine (small bowel), which is situated between the stomach and the large intestine (large bowel). Although it is longer than the big intestine, the tiny intestine is so named because its lumen diameter is smaller than that of the large intestine.

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9514 1404 393

Answer:

Step-by-step explanation:

The real part is the term not containing i as a factor.

The imaginary part is defined differently, depending on who you read. It is either the coefficient of i (-19), or the term containing i (-19i).

Above, we have shown the results that are obtained from functions designed to give the real and imaginary parts of a complex number.

real part: 14

imaginary part: -19, or -19i

Answer 1 is the attached pic

Answer:

16

Step-by-step explanation:

(-2i)(8i)

(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))

2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))

16(cos(2π)+i×sin(2π))

16(cos(0+2π)+i×sin(0+2π))

16(cos(0)+i×sin(0))

16(alternate form)

Ex 8. the solution to the differential equation y'' + y = t² with initial condition y(0) = -2 and y'(0) = 0 is y(t) = t² - 2. Ex 9. the isolated form of Y(s) for the given differential equation and initial conditions is: Y(s) = (1/(s - 3) + 6/s⁴ + s² + 2s + 4) / (s³ + s)

a) To find the Laplace transform of the given differential equation y'' + y = t², we first take the Laplace transform of both sides of the equation. Let's denote the Laplace transform of y(t) as Y(s).

Applying the Laplace transform to the equation, we get:

s²Y(s) - sy(0) - y'(0) + Y(s) = 1/s³

Substituting the initial conditions y(0) = -2 and y'(0) = 0, we have:

s²Y(s) + 2s + Y(s) = 1/s³

Now, let's isolate Y(s):

s²Y(s) + Y(s) = 1/s³ - 2s

(Y(s))(s² + 1) = 1/s³ - 2s

Y(s) = (1/s³ - 2s) / (s² + 1)

b) To find y(t) from the Laplace transform Y(s), we can apply the inverse Laplace transform. In this case, we need to use partial fraction decomposition to simplify the expression.

Y(s) = (1/s³ - 2s) / (s² + 1)

Y(s) = (1/s³) / (s² + 1) - 2s / (s² + 1)

Y(s) = 1/s³ * 1/(s² + 1) - 2s / (s² + 1)

Using partial fraction decomposition, we can express 1/(s² + 1) as A/(s + i) + B/(s - i), where i represents the imaginary unit.

1/(s² + 1) = (A/(s + i)) + (B/(s - i))

Multiplying through by (s + i)(s - i), we get:

1 = A(s - i) + B(s + i)

Expanding and equating the coefficients of the corresponding powers of s, we have:

0s² + 0s + 1 = (A + B)s + (B - A)i

Equating the coefficients, we get:

A + B = 0 (coefficient of s)

B - A = 1 (constant term)

Solving these equations, we find A = -1/2 and B = 1/2.

Now, we can rewrite Y(s) as:

Y(s) = 1/s³ * (-1/2)/(s + i) + 1/s³ * (1/2)/(s - i) - 2s / (s² + 1)

Taking the inverse Laplace transform of each term using standard formulas, we find:

y(t) = (-1/2)e^(-it) + (1/2)e^(it) - 2sin(t)

Since e^(-it) and e^(it) represent complex conjugates, their sum simplifies to:

y(t) = -2sin(t)

EXERCISE 9:

To find the Laplace transform of y''' + y' = e^(3t) + t³ with initial conditions y(0) = 1, y'(0) = 2, y''(0) = 3, we can follow a similar process as before. However, without solving the equation, we can isolate Y(s) by applying the Laplace transform to both sides of the equation and using the initial conditions:

s³Y(s) - s²y(0) - sy'(0) - y''(0) + sY(s) - y(0) = 1/(s - 3) + 6/s⁴

Substituting the initial conditions, we have:

s³Y(s) - s² - 2s - 3 + sY(s) - 1 = 1/(s - 3) + 6/s⁴

Now, let's isolate Y(s):

s³Y(s) + sY(s) = 1/(s - 3) + 6/s⁴ + s² + 2s + 4

(Y(s))(s³ + s) = 1/(s - 3) + 6/s⁴ + s² + 2s + 4

Y(s) = (1/(s - 3) + 6/s⁴ + s² + 2s + 4) / (s³ + s)

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Answer:

6

Step-by-step explanation:

√6 (√24-√6)

Distribute

sqrt(6) sqrt(24) - sqrt(6)sqrt(6)

sqrt(144) - sqrt(36)

12 - 6

6

Answer:

The equation is already in simplest form.

Step-by-step explanation:

you cannot combine any of the numbers because they are not like terms, so it cannot be simplified further.

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

Any equation of the form \(ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$\)

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$\)

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

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Answer:

C) Penelope should have added 4 to both sides instead of adding 1.

Step-by-step explanation:
Got it right on edge! Good Luck <3

Answer:

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) if you're into fractions

After using the concept of combinations, John can bring 10 different combinations of fruit to school.

To determine the number of combinations of fruit that John can bring to school, we need to calculate the number of ways he can choose 2 fruits from the given options. This can be done using the concept of combinations.

The formula for calculating combinations is:

C(n, r) = n! / (r! * (n - r)!)

Where n is the total number of items (fruits) and r is the number of items (fruits) to be chosen.

In this case, John has 5 fruits (n = 5) and he wants to bring 2 fruits (r = 2) to school.

Using the formula, we can calculate:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

Therefore, John can bring 10 different combinations of fruit to school.

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Answer:

yes, the 10 ft wave is an outlier

Step-by-step explanation: smarts

hope this helps :))

Answer:

the 10ft wave is the outlier

Step-by-step explanation:

hope this helps

Answer:

127

Step-by-step explanation:

n = 7

\( 2^n - 1 = \)

\( = 2^7 - 1 \)

\( = 128 - 1 \)

\( = 127 \)

Answer:

127

Step-by-step explanation:

We are given the expression:

(2^n)-1

We also know that n=7. Therefore, we can substitute 7 in for n.

(2^7)-1

Evaluate the exponent first. 2^7 is equal to multiplying 2, 7 times.

2^7=2*2*2*2*2*2*2=128

2^7=128

128-1

Subtract 1 from 128

127

Answer:

oof

Step-by-step explanation:

Answer:

ez. Its obvi D :)

Step-by-step explanation:

1) The exact value of c is 2.

2) The angle between vectors →a and →b is cos^(-1)(13/√74), which is approximately 0.179 radians.

1) To find the value of c, we need to determine the scalar multiple of →v that, when subtracted from →w, results in a vector perpendicular to →vc. Since →v = 4 → i + 2 → j and →w = 4 → i + 7 → j, we can subtract c(4 → i + 2 → j) from →w to obtain a vector perpendicular to →vc. By comparing the coefficients of →i and →j, we can equate the resulting vector's components to zero and solve for c. In this case, c = 2.

2) To find the angle between →a and →b, we can use the dot product formula. The dot product of two vectors →a and →b is equal to the product of their magnitudes and the cosine of the angle between them. By calculating the dot product of →a and →b and dividing it by the product of their magnitudes, we can find cosθ. Taking the inverse cosine of cosθ gives us the angle θ. In this case, the angle between →a and →b is approximately 0.179 radians.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

the first one equals 4. the second one equals 2

Step-by-step explanation:

mark me brainliest pls

Jasmine sold the fidget spinner to Bryan for the cost of $5.55.

To find the cost that Jasmine sold the fidget spinner to Bryan for, we need to first find the amount of the markup by multiplying the original price by the markup percentage.

As per the question, the original price of the fidget spinner is $3, and the markup percentage is 850%, so the markup amount is :

$3 × 850% = $2.55.

Next, we need to add the markup amount to the original price to find the selling price. So, the selling price is :

$3 + $2.55 = $5.55.

Therefore, Bryan paid $5.55 for the fidget spinner that Jasmine had just sold him.

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The expression equivalent to the given expression  -2(3x + 5y) is

given that

-2(3x + 5y)

expanding the parenthesis

-6x - 10y = 0

10y = 6x

y = 6x/10

y = 3x / 5

we can conclude that y = 3x/5 is equivalent to  -2(3x + 5y)

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Answer:

x = 48.6°

Step-by-step explanation:

see photo for explanation

I got you fam 1. (0,3) 2. (3,1)

Answer:

The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.

Step-by-step explanation:

the lines don't intersect at all so theres no solutions

Answer:

335=47.5x+50 I believe

Step-by-step explanation:

Answer:

a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:

Circumference = 2π × radius; but diameter = 2 × radius. Hence:

Circumference = π * diameter.

Given that diameter of the tire = 2.5 ft:

Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft

b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.

1 mile = 5280 ft

The number of rotation required to cover 1 mile (5280 ft) is:

number of rotation =

Step-by-step explanation:

Thats the best i can find.

Answer:

Your answer is correct and you showed all the necessary steps to find the circumference and the number of times the tire would have to rotate to travel one mile. Well done!

Answer: -7.42

Step-by-step explanation:

Hm, D would equal either 5 or 6.

Answer: d=3

Step-by-step explanation:because if u plug it in that will be grater

Answer:

X = 11

Complementary angles

Step-by-step explanation:

Complementary angles are when two angles add up to 90 degrees.

3x + 10 + 47 = 90

3x + 10 = 43

3x = 33

x = 11

Answer:

-3

Step-by-step explanation:

4n+ 6 = -18

4n=-24

n = -6

-6,-5,-4,-3

largest is -3

Answer:

\(\displaystyle -3\)

Step-by-step explanation:

\(\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}\)

Hence, you have your answer.

I am joyous to assist you at any time.

The acceleration of the particle at time t is given by a(t) = -24/t^4.

To find the acceleration of the particle at time t, we need to differentiate the position function twice with respect to time.

Given the position function s(t) =\(5 - 4/t^2,\)we can find the velocity function v(t) by differentiating s(t) with respect to t:

\(v(t) = s'(t) = d/dt (5 - 4/t^2)\)

To differentiate the function, we use the power rule and the chain rule:

\(v(t) = 0 - (-4)(-2)(t^(-2-1)) = 8/t^3 = 8t^(-3)\)

Next, we find the acceleration function a(t) by differentiating v(t) with respect to t:

\(a(t) = v'(t) = d/dt (8t^(-3))\)

Using the power rule and the chain rule again, we have:

\(a(t) = -3(8)t^(-3-1) = -24t^(-4) = -24/t^4\)

Therefore, the acceleration of the particle at time t is given by a(t) = \(-24/t^4.\)

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The correct option is A. "scale" most nearly means level.

A huge flat field is an illustration of level Being at the same eye level as a youngster by stooping to reach them is an illustration of being level. An instance of a level price is one that remains constant. A car that is the same height as yours is an illustration of something being level.

According to the Two-Level Theory, verb meanings are divided into two levels: one for the "root" or "constant" semantic elements that distinguish individual verbs, and another for the "event structure templates" or "thematic cores" that are shared by all verbs in a particular class.

Disclaimer

As used in line 86, "scale" most nearly means

line 86: Will companies be able to boost their products by manipulating online rating on a massive scale?

A) level

B) Wage

C) interval

D) scheme

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Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19