Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with 0.005 beyond them in each tail if the sample has size n

Answer:

30 trees per day

Step-by-step explanation:

150 trees / 5 days = 30 trees per day

So the answer is 30.

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

From the question, we have the following parameters:

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

Using the above highlights, the correct scenarios are:

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Answer:

To be honest with you g my bad pimp

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

We are given a table of x and y values and we are asked to find a possible function that represents it.

We notice that the function has a symmetry around the y axis, since the relationship shows:

when x = 1 , y = 2

when x = -1, y = 2

and also

when x = 3 , y = 10

when x = - 3, y = 10

(same value of y for opposite values of x)

In fact, this function could be well represented by a quadratic function of thr form:

f(x) = x^2 + 1

since

f(1) = 1^2 + 1 = 2

f(-1) = (-1)^2 + 1 = 2

f(3) = 3^2 + 1 = 10

f(-3) = (-3)^2 + 1 = 10

The second function that comes expressed as points on the plane, and given by the following 5 points:

(-9,0), (-4, 5), (0, 9), (4, 5), and (9,0)

is again a function that shows a symmetry around the y-axis, so it is an even function again, and loos like the vertex of it is located at the point (0.9)

notice as well, that as we move away from the y-axis in the x values, the values for y decrease (are less and less than 9, as the x value lies further away from the y-axis.

Then we suspect that the function representing this, is an absolute value function with vertex at the point (0, 9) on the y-axis.

Notice that the "slope" of this function is (to the right of the y axis) given by:

slope = (y2 - y1) / (x2 - x1) = (0 - 5) / (9 - 4) = -5 / 5 = -1

and on the left of the y-axis, the slope is "1".

Then, we use the following absolute value function:

f(x) = - |x| + 9

we now chek the given pairs :

f(-9) = - |-9| + 9 = 0 correct!

f(-4) = - |-4| + 9 = - 4 + 9 = 5 correct!

f(0) = - |0| + 9 = 9 correct!

f(4) = - |4| + 9 = -4 + 9 = 5 correct!

f(9) = - |9| + 9 = -9 + 9 = 0 correct!

Then the function we suggest for this second case is:

f(x) = - |x| + 9

The total distance flown by the bird directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse is  13 + √85 miles

Generally, distance is a scalar quantity . This means it has only magnitude but no direction.

Distance describes how much ground an object covers on motion.

Therefore, the total distance the bird flew is how much ground it covered during motion.

The library is 6 miles south of the courthouse and 7 miles west of the community swimming pool.

Distance from court house to the library = 6 miles

Distance from library to the swimming pool = 7 miles

we use Pythagoras's theorem to find the distance from the swimming pool back to the courthouse. Therefore

Distance from swimming pool to the court house = 7² + 6² = 49 + 36 = √85

Total distance travelled = 6 + 7 + √85 = 13 + √85 miles

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Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

========================================================

Explanation:

Divide the number of laps over the time duration.

We see that Michael has the slightly faster average speed, since he's able to swim more laps in 1 minute.

Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

Addend is number which is added to another number.

For example:

y + 5 = 8

where;

Adding zero (0) to an addend does not change a sum. An example is present below;

5 + 3 = 8

add zero (0) to 3 and check if the final result will change;

5 + (3 + 0) = 5 + 3 = 8

Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

A. 52-=0

Hope to help again

Answer:

34ft

Step-by-step explanation:

just add all of the numbers up

Answer:

the total price of the TV is $840.

Step-by-step explanation:

100% - 30% = 70%

I'm guessing you meant 1,200 not 1.20 (lol) so I'm just going to go with that.

1,200 * 0.70 = 840

Therefore the total price of the TV is $840.

Please mark brainliest and have a nice day!

Answer:

no clue

Step-by-step explanation:

im just doing this for the points it gives me

Answer:

Step-by-step explanation:

Question 18:

arc SRQ = 360° - 98° - 115° = 147°

y = 147°/2 = 73.5°

arc SPQ = 98° + 115° = 213°

x = 213°/2 = 106.5°

Sorry, I don't know how to answer 19.

Answer:

1. n = 4

2. n = -29

3. n = -28

4. n = -48

5. n = -22

6. n = 97

7. n = 220

8. n = -18

9. n = 36

Step-by-step explanation:

1. -n = -4

Multiply both by -1 to get n = 4

2. 12 + n = -17

Subtract 12 from both sides of the equation to get n = -29

3. -n/14 = 2

Multiply by 14 on both sides of the equation to get -n = 28

Multiply -1 on both sides of the equation to get n = -28

4. -42 = n + 6

Subtract 6 from both sides of the equation to get -48 = n or n = -48

5. -4n = 88

Divide -4 on both sides of the equation to get n = -22

6. n + -3 = 94

Add 3 to both sides of the equation to get n = 97

7. 11 = -n/-20

Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220

Multiply -1 on both sides of the equation to get n = 220

8. -108 = 6n

Divide by 6 on both sides of the equation to get -18 = n or n = -28

9. 67 = 31 + n

Subtract 31 from both sides of the equation to get 36 = n or n = 36

I Hope That This Helps! :)

Answer:

3

Step-by-step explanation:

equate the two together to get the value of x

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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KJI = KJY + YJI

Thus ;

\(168 =( 8x - 4) + (36x - 4)\)

\(168 = 8x - 4 + 36x - 4\)

Collect like terms

\(168 = 44x - 8\)

Add sides 8

\(168 + 8 = 44x - 8 + 8\)

\(176 = 44x\)

Divide sides by 44

\( \frac{176}{44} = \frac{44}{44} x \\ \)

\( \frac{16 \times 11}{4 \times 11} = x \\ \)

\(4 = x\)

\(x = 4\)

So ;

\(YJI = 36x - 4\)

\(YJI = 36(4) - 4\)

\(YJI = 144 - 4\)

\(YJI = 140°\)

Done...

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The equation of the line is y = 2/3x + 1

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(x, y) = (0, 1) and (3, 3)

The equation of the line is then calculated using the following equation

y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (0, 1) and (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = (3 - 1)/(3 - 0) * (x - 0) + 1

Evaluate

y = 2/3 (x - 0) + 1

So, we have

y = 2/3x + 1

Hence, the line equation is y = 2/3x + 1

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The features of quadratic functions best identified by each method are given as follows:

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

From which we identify the y-intercept at the coordinates (0, c).

The vertex form of a quadratic function is given as follows:

f(x) = a(x - h)² + k

From which we identify the axis of symmetry and the extreme value.

The zeros of a quadratic function are identified from the linear factors, as follows:

f(x) = a(x - r)(x - s).

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The equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a ]where is the amplitude of the function.

As we know,

The standard form of the sin function is:

y = asin(bx) + c

From the graph, we get the values of a, b, and c

Or

On applying a transformation to the function:

y = sinx

y = 2sinx (function will strech vertically)

y = 2sinx - 2 (function will shift down by 2 units)

y = 2sin(-4x) - 2 ( function will reflect and shrink by factor 4)

Thus, the equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

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Answer:

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.

Step-by-step explanation:

From Geometry, the volume of the cone (\(V\)), measured in cubic centimeters, is defined by:

\(V = \frac{\pi\cdot r^{2}\cdot h}{3}\) (1)

Where:

\(r\) - Radius, measured in centimeters.

\(h\) - Height, measured in centimeters.

Then, we find a formula for the rate of change of the volume of the birth bath (\(\dot V\)), measured in cubic centimeters per minute, by means of differentiation:

\(\dot V = \frac{\pi}{3}\cdot \left(2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h \right)\) (2)

Where:

\(\dot r\) - Rate of change of radius, measured in centimeters per minute.

\(\dot h\) - Rate of change of height, measured in centimeters per minute.

In addition, we have the following relationship:

\(r = 2\cdot h\) (3)

And by Differential Calculus:

\(\dot r = 2\cdot \dot h\) (4)

By applying (3) and (4) in (2), we find the following expanded formula:

\(\dot V = \frac{\pi}{3}\cdot \left[2\cdot (2\cdot h)\cdot (2\cdot \dot h)+4\cdot h^{2}\cdot \dot h\right]\)

\(\dot V = \frac{\pi}{3}\cdot (8\cdot h+4\cdot h^{2})\cdot \dot h\) (5)

If \(\dot V = -8\,\frac{cm^{3}}{min}\) and \(h = 10\,cm\), then the rate of change of the water level is:

\(\dot h = \frac{\dot V}{\frac{\pi}{3}\cdot (8\cdot h + 4\cdot h^{2}) }\)

\(\dot h = \frac{-8\,\frac{cm^{3}}{min} }{\frac{\pi}{3}\cdot [8\cdot (10\,cm)+4\cdot (10\,cm)^{2}] }\)

\(\dot h \approx -0.016\,\frac{cm}{min}\)

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

A

Step-by-step explanation: