the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean

Answer:

The tourists will meet at the midpoint of the bridge, which is 2738/2 = 1369 meters from each end.

At their respective walking speeds, it will take the first tourist 1369/0.9 = 1521.67 seconds to reach the midpoint, and it will take the second tourist 1369/1.1 = 1242.73 seconds.

Therefore, it will take them a total of 1521.67 + 1242.73 = 2764.4 seconds to meet.

Since there are 60 seconds in a minute, the time in minutes is 2764.4 / 60 = 46.07 minutes.

Therefore, it will take the tourists 46 minutes and 0.4 seconds to meet.

Uday Tahlan

Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.

cos θ = Opposite side / Adjacent side

cos θ = 14 / 22

cos θ = 0.6363

θ = cos^-1 (0.6363)

θ ≈ 45.9°

Answer:

(-∞, 1] or {x|x<=1}

Step-by-step explanation:

Answer:

(0.5, 3)

Step-by-step explanation:

Just entered it into a desmos graphing calculator online

Answer:

each box contain 8 x 9 = 72

Answer: 27 over 2,5

Step-by-step explanation:

The slope-intercept form of the equations presented on the graph are;

y = 4

y = 3

The slope-intercept form of the equation of a line is; y = m·x + c, where;

m = The slope of the graph

c = The y-intercept of the graph

The equation of the lines in the graphs (blue line, and red line) are found as follows;

The slope of the blue line is found using the points on the graph as follows;

The coordinates of points on the blue line graph are; (0, 4), (2, 4), (4, 4)

The slope is therefore; m = (4 - 4)/(4 - 2) = 0

The y-intercept, obtained from the graph is; c = 4

The value of the slope, m = 0, indicates that the graph is an horizontal line with an equation y = c

c = 4

The equation of the blue line graph in slope-intercept form is therefore;

The coordinates of points on the red line graph are; (0, 3), (2, 3), (4, 3)

The slope of the red line graph is therefore;

m = (3 - 3)/(4 - 2) = 0

The y-intercept of the red line graph is; c = 3

The value of the slope, m = 0, and the y-intercept, c = 3, indicates that the equation of the red line graph is therefore;

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Using an inverse trigonometric function, we will find that the solution is:

θ = 1.047

Here we want to solve the equation:

1 - cos(θ) = 1/2

Such that θ ∈  [0,2pi)

Now let's return to our equation:

1 - cos(θ) = 1/2

1 - 1/2 = cos(θ)

1/2 = cos(θ)

Now we could apply the inverse cosine function to both sides, then we will get:

Acos(1/2) = Acos(cos(θ))

1.047 = θ

That is the solution.

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Answer: We can start by using the information given to set up an equation. We know that:

a = 2,352% of (b + c)

b = 84% of c

We can express the first equation in terms of percentages by dividing both sides by 100:

a = 23.52(b + c)

We can also express the second equation in terms of percentages by dividing both sides by 100:

b = 0.84c

Now we can substitute the second equation into the first equation:

a = 23.52(0.84c + c)

a = 23.52(1.84c)

So a = 43.1184c

To find the percentage of b, we divide b by a and multiply by 100:

percentage of b = (b / a) * 100

Now we substitute values of a and b

percentage of b = (0.84c / 43.1184c) * 100

percentage of b = (0.84 / 43.1184) * 100

Which simplify to

percentage of b = 1.9425 %

Step-by-step explanation:

7½

7×2+1/2

14+1/2

15/2

12½

12×2+1/2

24+1/2

25/2

Answer: line AB and RS are parallel because their lines do not interact anywhere on the model, because it is 3D. this is the only one i am sure of, you may have to ask another person to get the other two.

Answer:

A. Line AB and Line CG are parallel, C. Line CG and Line RS are perpendicular, and E. Line CG lies in plane X

Step-by-step explanation:

A. Line AB and Line CG are parallel is true because the arrows are pointing in the same directions and do intersect or cross each other.

B. Line AB and Line RS are parallel is false because although they do not intersect, they also do not go in the same direction. These are also not perpendicular lines because they do not intersect other, even though they make a right angle.

C. Line CG and Line RS are perpendicular is true because these lines intersect at exactly 90° angle (as shown by the square).

D. Line AB and Line RS must intersect is false because Line AB does not intersect Line CG (which is the line that does intersect Line RS).

E. Line CG lies in plane X is true because point C and point G are in plane X.

F. Line RS lies in plane X is false because point r and point 2 are in plane Y.

If cosec (tetha) = 17/15 then cos (tetha) = 8/17

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

cosec , sine, cotangent, cosine , secant and tangent are trigonometry function.

cosec( tetha) = 1/sin(tetha)

tangent (tetha) = 1/ cot ( tetha)

sec (tetha) = 1/ cos(tetha)

cosec (tetha) = 17/15

therefore 1/sin ( tetha) = 17/15

sin( tetha ) = 15/17 = opp/ hyp

therefore using Pythagoras theorem adj² = 17²-15²

adj² = 289-225

adj² = 64

adj = √64 = 8

cos ( tetha) = adj/hyp

therefore cos ( tetha) = 8/17

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There you have it, your answer

Step-by-step explanation:

Easy

Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]

[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]

[tex]\implies 2x+2y+2z=3x+3y+24[/tex]

[tex]\implies 2z=x+y+24[/tex]

[tex]\implies x=2z-y-24[/tex]

Cara is 9 years older than Elliot:

[tex]\implies z = x + 9[/tex]

Four years ago, Elliot was double the age of Miya:

[tex]\implies (x - 4) = 2(y - 4)[/tex]

[tex]\implies x - 4 = 2y-8[/tex]

[tex]\implies x +4 = 2y[/tex]

[tex]\implies y=\dfrac{1}{2}x +2[/tex]

Substitute the equations for z and y into the equation for x and solve for x:

[tex]\implies x=2z-y-24[/tex]

[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]

[tex]\implies x=\dfrac{3}{2}x-8[/tex]

[tex]\implies \dfrac{1}{2}x=8[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the equation for z and solve for z:

[tex]\implies z = 16 + 9[/tex]

[tex]\implies z = 25[/tex]

Substitute the found value of x into the equation for y and solve for y:

[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]

[tex]\implies y=8+2[/tex]

[tex]\implies y=10[/tex]

Therefore, the ages of Elliot, Miya and Cara are:

Step-by-step explanation:

this means :

f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)

f(x) = (x + 2)(x² - 5x + 8) + 8 =

= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =

= x³ - 3x² - 2x + 24

Answer:

75%

Step-by-step explanation:

To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.

Using this formula, the percent of change that Target marks the shoes up for is:

(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%

This means that Target marks the shoes up by 75% of their cost.

Answer:2009#73

Step-by-step explanation:

3939+373

Ie,ek

On solving the provided question we cans ay that -  order when writing it on the number line: = -1.25, -0.75, 0.25, 1.5, 2

A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.

The numbers on the number line must be

[tex]6/3 = 2\\-3/4 = -0.75\\1.5 = 1.5\\0.25 = 0.25\\-5.4 = -1.25\\[/tex]

In ascending order, t

[tex]-1.25 = -5/4\\-0.75 = -3/4\\0.25\\1.5\\2 = 6/3[/tex]

order when writing it on the number line:

-1.25, -0.75, 0.25, 1.5, 2

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Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.

Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.

The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:

£2550 - (0.05 * x) < £1200

where x is the number of months.

You can re-arrange the equation to solve for x:

x > (2550 - 1200) / 0.05

x > (1350) / 0.05

x > 27

So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

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Therefore , the solution of the given problem of domain is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.

A function's domain is the set of values that can be sent into it. This collection represents all x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection includes the values that the return statement when we enter an x value. Assume that x and y are indeed the independent and dependent variables of a function with the formula y = f(x). If a function f provides a way to generate a single value y successfully while using a value of x .

Here,

In this case, f(x)=-3x-2 x < 4

3/4x-1 x≥ 4

Domain

This range, which is the range of -3x-2 (-14,), is a subset of the range of f(x).

Therefore , the solution of the given problem is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.

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The current temperature of the water is given as follows:

71.7 ºF.

The defining statement from the problem is given as follows:

He finds that the temperature changed by -0.6°F.

The change by the negative amount of -0.6ºF means that the current temperature of the water is obtained subtracting the previous temperature of the water by 0.6 ºF.

The previous temperature of the water is given as follows:

72.3°F.

Hence the current temperature of the water is obtained subtracting 72.3ºF and 0.6ºF, as follows:

72.3 - 0.6 = 71.7 ºF.

The previous temperature of the water is given as follows:

72.3°F.

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Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Based on the given conditions, formulate: 25 - 14

Calculate the sum or difference: 11

get the result: 11

The length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

What are the distance formula and midpoint of a segment?

The distance formula is a mathematical formula that can be used to determine the distance between two points in a coordinate plane. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

The midpoint of a segment is a point that is exactly in the middle of a line segment. Given the endpoints of the line segment, (x1, y1) and (x2, y2) the coordinates of the midpoint, (x, y) can be calculated using the following formulas:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

The given points are (-8, 6) and (-2, -2).

Given two points A(x1, y1) = (-8, 6) and B(x2, y2) = (-2, -2), we can use the distance formula to find the length of the line segment AB. The distance formula is:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\\\d= \sqrt{((-2) - (-8))^2 + ((-2) - (6))^2}\\\\d=\sqrt{36 + 64}\\\\d=\sqrt{100}\\\\d=10[/tex]

The length of AB would be 10.

To find the coordinates of the midpoint of AB, we can use the midpoint formula:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

Plugging in the values for A and B, we get:

x = (-8 + (-2)) / 2 = -5

y = (6 + (-2)) / 2 = 2

The coordinates of the midpoint of AB are (-5, 2).

Hence, the length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

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Answer:

Domain: All real numbers

Range: All real numbers greater than or equal to -1

The amount that her clothes weigh more than her books would be = 57kg

The amount for the shipping cost for her school would be = 5600+25400 = $31000

Postal service is the type of service that helps.in the delivery of goods from one location to another when the goods are properly registered.

The mass of Moya's books = 70 kilograms

The mass of Moya's clothing = 127 kg

The difference between the bothe masses = 127 - 70 = 57kg

The cost per kg for books = $80 per kg

The cost per kg of clothing = $200

Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)

= 5600+25400 = $31,000.

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The graph of the system of linear equations is attached with the answer.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the system of linear equations as given -

- 2x + y = 10

x + 2y = 5

The given system of linear equations is -

- 2x + y = 10

x + 2y = 5

Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.

Therefore, the graph of the system of linear equations is attached with the answer.

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1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.

➜ The line intercepts the y-axis at 3.

2] Answer: y = 3x

Step-by-step explanation:

➜ This line is going down from the bottom left to the top right, so it will have a positive slope.

➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.

➜ The line intercepts the y-axis at 0.

3] Answer: y = x - 4

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.

➜ The line intercepts the y-axis at -4.

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = √x

The function after the transformation, then we have

f(x) = √(x - 7) + 2

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,

x - 7 ≥ 0

x ≥ 7

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