Angle A is …. Than 90°. Angle B is …… than 90°

The value of z at 99.2% confidence is 2.41 in the proportion of population.

To find the value of z at a specific confidence level, we need to use a standard normal distribution table or a calculator that can perform normal distribution calculations.

The z-value corresponding to a 99.2% confidence level can be found by looking up the area of 0.996 (which is 1 - 0.008, where 0.008 is half of the 0.016 area corresponding to the tail probability beyond the z-value) in the standard normal distribution table or using a calculator in the interval. Using a standard normal distribution table, we can find that the z-value corresponding to an area of 0.996 is approximately 2.41. Therefore, the answer is 2.41.

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The radius of the given shape when P, perimeter, of the shape is 50 cm is 14 cm

From the question we are to determine the value of r when P is 50 cm.

P is the perimeter of the shape shown in the figure.

The figure is a quadrant.

The perimeter of the quadrant is given by

P = r + r + 1/2(πr)

Therefore,

P = 2r + 1/2(πr)

Now,

To determine the value of r when P is 50, we will substitute the value of P into the above equation

P = 2r + 1/2(πr)

Substitute P = 50

50 = 2r + 1/2(πr)

Solve for r

50 = 2r + 1/2(πr)

Multiply through by 2

100 = 4r + πr

100 = r(4 + π)

Take π = 3.14

100 = r(4 + 3.14)

100 = 7.14r

Divide both sides by 7.14

100/7.14 = r

r = 14.0056

r ≈ 14 cm

Hence, the value of r is 14 cm

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The graph B is the best choice as a result.

Graph is a data structure used to represent a mathematical relationship between two or more objects. It is composed of nodes and edges, where nodes represent objects and edges represent the relationships between them. Graphs are used to solve various types of problems in computer science, such as finding the shortest path between two points, or determining whether a graph contains a cycle. Graphs can also be used to represent social networks, transportation networks, and many other types of networks.

The graph depicted in option B is the one that corresponds to the equation y = - 2x - 4.

The equation is expressed in slope-intercept form in the following way:

The angle is - 2
The intercept equals -4.
This indicates that the graph's slope is negative and that the trend line crosses the y axis at minus four.

Only the option B graph has a graph with a negative slope and an intercept of -4.

The graph B is the best choice as a result.

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The probability that the first card is a king and the second card is a king, given that the sampling is done without replacement, is 1/221 or approximately 0.45%.

When two cards are randomly selected from a standard 52 card deck without replacement, there are 52 possible choices for the first card and 51 possible choices for the second card. The probability of selecting a king on the first draw is 4/52, or 1/13, since there are four kings in the deck.

If a king is drawn on the first draw, there will be 51 cards remaining in the deck, including three kings. So, the probability of drawing a king on the second draw, given that a king was drawn on the first draw, is 3/51.

To find the probability of both events occurring, we multiply the probabilities:

P(First card is a king and second card is a king) = P(First card is a king) x P(Second card is a king given that the first card was a king)

P(First card is a king and second card is a king) = (4/52) x (3/51) = 1/221

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Answer:

P(sum is less than or equal to 3) =

P(1, 1) + P(1, 2) + P(2, 1) =

(1/5)(1/3) + (1/5)(1/3) + (1/5)(1/3) = 3/15 = 1/5

20% × 500 = 100

This event can be expected about 100 times.

The least expensive C.A.R.S. that can be built to those specifications has dimensions of approximately 4.3088 m x 2.1544 m x 1.7321 m and will cost about $265.47 to build.

Let's start by looking at the dimensions of the base. We know that the length of the base is twice its width. Let's represent the width of the base as "x." This means that the length of the base is "2x." The area of the base is simply the product of the length and the width, which is 2x * x = 2x².

Next, let's look at the dimensions of the sides. The height of the box is going to be represented by "h." The length of each side is going to be equal to the length of the base, which we already know is 2x. The width of each side is going to be equal to the width of the base, which is just x. So the area of each side is simply 2hx.

Now we can use the formula for the volume of a rectangular prism to find the value of "h" in terms of "x." The volume of the box is given as 10 m^3, so:

V = lwh = (2x)(x)(h) = 10

Simplifying this equation, we get:

2x²h = 10

Solving for "h," we get:

h = 5/x²

Now that we have an expression for "h" in terms of "x," we can use it to find the total surface area of the box, which is the sum of the area of the base and the area of the four sides. We can then use this expression to find the minimum cost for a given volume of the box.

The total surface area of the box is given by:

A = 2x² + 4(2hx)

Substituting the expression we found for "h" into this equation, we get:

A = 2x² + 4(2x)(5/x²)

Simplifying this equation, we get:

A = 2x² + 40/x

Now we can take the derivative of this expression with respect to "x" and set it equal to zero to find the value of "x" that will minimize the cost of the box. Differentiating and setting equal to zero, we get:

dA/dx = 4x - 40/x² = 0

Solving for "x," we get:

x^3 = 10

Taking the cube root of both sides, we get:

x ≈ 2.1544

Now we can use this value of "x" to find the dimensions of the least expensive C.A.R.S. that can be built to those specifications. The length of the base is twice the width, so:

Length = 2x ≈ 4.3088

Width = x ≈ 2.1544

Height = 5/x² ≈ 1.7321

So the dimensions of the least expensive C.A.R.S. that can be built to those specifications are approximately: Length = 4.3088 m Width = 2.1544 m Height = 1.7321 m

These dimensions will allow us to build a C.A.R.S. with a volume of 10 m^3, while using the least amount of material possible, which means that the cost will be minimized. We can verify this by calculating the total surface area of the box and the cost of the materials needed.

The total surface area of the box can be calculated by substituting the values we found for "x" and "h" into the expression we derived earlier:

A = 2(2.1544)² + 4(2)(5)/(2.1544)² ≈ 28.2742 m²

Now we can calculate the cost of the materials needed to build the box:

Cost = (Area of base)(Cost per square meter for base) + (Area of sides)(Cost per square meter for sides)

Cost = (2.1544²)(10) + (28.2742 - 2(2.1544²))(6) ≈ $265.47

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To find the interval(s) over which the function 8-(x-3)^2 is increasing, we need to find the critical points of the function and test the sign of the derivative on either side of these points.

The derivative of the function 8-(x-3)^2 is -2(x-3).

Setting the derivative equal to zero to find the critical points:

-2(x-3) = 0

x = 3

Testing the sign of the derivative on either side of x = 3:

-2(x-3) is negative for x < 3, meaning the function is decreasing on the interval (-infinity, 3).

-2(x-3) is positive for x > 3, meaning the function is increasing on the interval (3, infinity).

Therefore, the interval over which the function 8-(x-3)^2 is increasing is (3, infinity).

The ratio of syrup to sparkling water for jug B itself is 10:29.

Jug A holds 150ml of syrup as well as 450ml of sparkling water. Jug B, on the other hand, possesses 350ml of syrup and 1050ml of sparkling water. When Paddy combines both jugs, he ultimately creates a total of 2 litres, which is equivalent to 2000ml of lemonade altogether. Let us denote the amount of syrup present in this mixed formula as ‘z’ and the corresponding quantity of sparkling water as 3z. Taking into account the ratio of syrup to sparkling water in the blend being 11:29, we can express this through an equation as follows:

z/3z = 11/29

29z = 33z

z = (33/29)z

We may consider two different approaches for calculating the entirety of syrup in the mixed lemonade. Initially, The overall amounts of syrup can be calculated simply by adding the measurements of jugs A and B, resulting in the total sum of 500ml. Concomitantly, we may express the same glyph as a fraction of the total quantity of lemonade—we can deduce that z = (11/40) x 2000ml, which translates to 550ml. Subsequently, when aligning these equations together they ultimately equal out to 500ml = 500ml. This confirms that our calculations are indeed correct.

Now, one might find the amount of sparkling water in the blended concoction by first determining 3z, then cross-multiplying this figure with the initial solution to yield 1450ml. Ultimately, the total figures assigned to syrup and sparkling water are approximately 500ml and 1450ml, respectively. Furthermore, we can illustrate the ratio of each ingredient as 500:1450 or more succinctly, 100:290 (dividing both sides by 5). Thus, the ratio of syrup to sparkling water for jug B itself is 10:29.

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Answer:

3/250

Step-by-step explanation:

21/35 divided by 50 = 21/1750

Simplify this into 3/250

Answer: 1

Step-by-step explanation:

Answer:

Even though negative numbers get smaller as they get further from 0, their absolute value gets bigger, the sum of two negative numbers is a negative number, the product of two negative numbers is a positive number, etc.

Step-by-step explanation:

The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:

U' = (1, 1).

V' = (-4, 0).

W' = (-1, 4).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:

(x, y)                               →            (-y, x)

Ordered pair U = (-1, 1)   →  Ordered pair U' = (1, -(-1)) = (1, 1).

Ordered pair V = (0, -4)   →  Ordered pair V' = (-4, -(0)) = (-4, 0).

Ordered pair W = (-4, -1)   →  Ordered pair W' = (-1, -(-4)) = (-1, 4).

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Answer:

Step-by-step explanation:

Answer: The speed of the larger pulley is 242 rpm.

Step-by-step explanation: We can use the fact that for a belt and pulley system, the linear velocity of the belt is constant. This means that the product of the radius and the angular velocity of each pulley must be the same.

The manager can see the eight applicants in 40,320 different ways.

The number of ways the manager can see the eight applicants, one after another, equals the number of permutations of eight objects taken at a time. The given problem depends on a number of arrangements we can make for the applicants to give interviews one by one, which can be calculated as follows:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

In 40320 ways the applicants are able to give the interview. Therefore, the manager can see the eight applicants in 40,320 different ways.

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Answer:  Does, 8, 3

Step-by-step explanation:

It does have a max  because it is in vertex form already there is a - in front of parenthesis so it is facing down.

the vertex is (3, 8)

to answer question

does

8

3

Answer:

Step-by-step explanation:

Global warming is the change in the climate of the earth causing it to heat up whereas the greenhouse effect is a naturally occurring phenomenon, constantly occurring due to the atmosphere and sunlight.

The Greenhouse effect is when the heat goes up into space, Greenhouse Gases, block the heat going into space, and it goes back to Earth. Global Warming is when the earth is overheated by Fossil fuels and Greenhouse gases causing the Greenhouse effect.

Global warming is the observation, and the atmospheric greenhouse effect is the explanation. The atmospheric greenhouse effect is a theory based on well-established physics that explains why the Earth has not been covered in ice for most of its history.

global warming and the greenhouse effect are not the same things. Global warming refers to a change in the Earth's climate that is causing it to heat up. The greenhouse effect, on the other hand, is a natural process that happens constantly, due to sunlight and the atmosphere.

Answer:

Step-by-step explanation:

The greenhouse effect occurs because the Earth's gasses trap the heat from the sun in our atmosphere. global warming is more than the greenhouse effect, many other things cause global warming INCLUDING the greenhouse effect. The greenhouse effect is trapping heat and global warming is when the global climate rises, partly due to the greenhouse effect.

answer: 0 divided by 2 is 0. the exact value of sin is sin(0) is 0

A dilation with a scale factor of 1 will create an image and a pre-image that are similar figures

Given data ,

Let the figure be represented as A

Now , let the transformed image be represented as A'

Now , A dilation with a scale factor other than 1 would create an image and a pre-image that are similar figures, so the answer is either A or C.

Since a dilation with a scale factor of 1 would produce congruent figures, the correct answer is C, a dilation with a scale factor of 2.

Hence , the solution is a dilation with scale factor of 1

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The rectangular form of given polar equation r⁶=cos θ is x⁴ + y²x² = x³ + y³.

To convert the polar equation r⁶=cos θ to rectangular form, we need to use the relationships between polar and rectangular coordinates. Recall that:

r² = x² + y² (the Pythagorean theorem for polar coordinates)

cos θ = x/r

sin θ = y/r

Using these equations, we can rewrite the given polar equation as:

(r²)³ = (cos θ)³

(x² + y²)³ = (x/r)³

Simplifying this equation by multiplying both sides by r³, we get:

x³ + y³ = x²r³

Now, using the fact that r² = x² + y², we can substitute x² + y² for r² in the above equation, which gives:

x³ + y³ = x²(x² + y²)

Expanding the right-hand side of the equation and simplifying, we get:

x⁴ + y²x² = x³ + y³

This is the rectangular form of the given polar equation. Therefore, the rectangular form of r⁶=cos θ is x⁴ + y²x² = x³ + y³.

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Answer:

X is 55°

Step-by-step explanation:

we need to find 2 angles for this

First the whole D angle

Which is

A+C+D=180

75+20+D = 180

180 - 95 = D

85 is D

Second the BDC angle

2 lines equal = 2 angles equal

BD = CD

So angle CBD would 75

75+75+bdc=180

180-150=BDC

30= angle BDC

For x now

Subtract the second angle BDC from angle D

85-30=55

So the X angle would 55°

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Answer:

x = 7

Step-by-step explanation:

           When two secants intersect outside the circle, the product of their segments are equal.

               (3x + 15) * 15 = (x+20) * 20

            3x * 15 + 15*15 = x*20 + 20*20   {Distributive property}

                45x + 225  = 20x + 400

Subtract 225 from both sides,

                            45x = 20x + 400 - 225

                            45x = 20x + 175

Subtract 20x from both sides,

                 45x - 20x = 175

                           25x = 175

Divide both sides by 25,

                               x = 175 ÷ 25

                               [tex]\boxed{x=7}[/tex]

At the end of 3 years with a weekly compounded interest rate of 6.5%, R1,250 will be worth R1,551.00.

To calculate the future value of R1,250 at the end of 3 years with a weekly compounded interest rate of 6.5%, we can use the following formula:

FV = [tex]P(1 + r/n)^{(nt)[/tex]

Where FV is the future value, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

P = R1,250

r = 6.5% or 0.065 (decimal form)

n = 52 (since interest is compounded weekly)

t = 3 years

So, plugging in these values into the formula, we get:

FV = 1250(1 + 0.065/52)¹⁵⁶

FV = 1250(1.005)¹⁵⁶

FV = 1250(1.2408)

FV = R1,551.00 (rounded to the nearest cent)

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The future value of the investment of $3000 for 13 years  compounded annually at 6. 5%  is equal to $6,802.46.

Initial amount 'Principal'  P = $3,000

The annual interest rate as a decimal 'r' = 6.5%

                                                                  = 0.065

The time in years 't ' = 13 years

The future value of the investment, use the formula for compound interest,

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

where,

A = the future value

n = the number of times the interest is compounded per year

= 1 compounded annually

Substitute the values in the formula we get,

A = $3,000(1 + 0.065/1)¹³

  = $3,000(1.065)¹³

  =  $3,000 × 2.2675

  = $6,802.46

Therefore, the future value of the investment is $6,802.46.

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The correct choice is a straight line with a positive slope that intersects the y-axis at (0, 4). This is because f(x) = 3x + 4 is a linear function with a slope of 3 and a y-intercept of 4. The graph of this function will be a straight line with a positive slope that crosses the y-axis at (0, 4).

A graph is a visual representation of data or a function, usually in the form of a plot with one or more variables on the x and y axes. It is a way to show relationships between variables or patterns in data.

An intercept is a point at which a curve or line intersects an axis, usually the x-axis or y-axis. The x-intercept is where the line crosses the x-axis, and the y-intercept is where the line crosses the y-axis.

According to the given information:

Without a visual component, it is impossible to identify which of the following choices represents the graph of the linear function f(x) = 3x + 4:

a) a straight line with a negative slope that intersects the y-axis at (0, -4)

b) a straight line with a positive slope that intersects the y-axis at (0, 4)

c) a curved line that increases as x increases and passes through the point (0, 4)

However, we know that the graph of f(x) = 3x + 4 is a straight line with a slope of 3 and a y-intercept of 4. So, the correct choice would be b) a straight line with a positive slope that intersects the y-axis at (0, 4). This graph would show the function increasing at a steady rate of 3 units for every 1 unit of horizontal change, with the y-intercept at the point (0, 4).

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The valid conclusion is  A.  We can be 90% ... the mean amount ... is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test, within a certain level of confidence. Confidence, in statistics, is another way to describe probability.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

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The complete question is:-

marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677). Which one of the following conclusions is valid? We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. 90% of the sample said they spent between $217 and $677 at sporting events last year. No conclusion can be drawn.

Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

No, applying gradient boosting linear regressor multiple times does not necessarily give the same result as linear regression.

Gradient boosting is an iterative machine learning algorithm that involves combining multiple weak models, such as decision trees, to create a strong predictive model. In each iteration of the algorithm, a new model is trained to predict the errors of the previous models, and the final prediction is the sum of the predictions of all the models.

On the other hand, linear regression is a parametric method that involves fitting a linear equation to the data, where the coefficients of the equation are estimated using the least squares method. While gradient boosting linear regression and linear regression both aim to predict a target variable based on a set of input variables, they use different approaches and assumptions, and their results may not be the same.

In particular, gradient boosting can be more effective than linear regression when the relationship between the input variables and the target variable is nonlinear or when there are complex interactions between the input variables. However, linear regression can be more interpretable and easier to implement than gradient boosting in some cases.

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Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex](y + 57) = 178

distribute [tex]\frac{2}{3}[/tex] into the parentheses

[tex]\frac{2}{3}[/tex]y + 38 = 178

      -38    -38

[tex]\frac{2}{3}[/tex]y = 140

multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] which is [tex]\frac{3}{2}[/tex]

( [tex]\frac{3}{2}[/tex] ) [tex]\frac{2}{3}[/tex]y = 140(     [tex]\frac{3}{2}[/tex] )

[tex]\frac{2}{3}[/tex] is cancelled out with only y remaining on the left side

y = 210