On Monday, the temperature was +7°C and on Tuesday it was 12°C colder. What was the temperature on Tuesday?

Answer:

$1.25 each

Step-by-step explanation:

just divide the total cost by number of teachers and MAGIC!!

Using the probability multiplication we know that the defect probability of the final product will be 7.5%.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

The higher the likelihood, the more likely it is that the event will take place.

So, the probability formula is:

P(E) = Favourable events/Total events

So, in the given situation, the number of components integrated:

500

Defect probability of each component:

0.015%

Then, the defect probability of the final product:

= 500 * 0.015

= 7.5%

Therefore, using the probability multiplication we know that the defect probability of the final product will be 7.5%.

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Step-by-step explanation:

The slope of a line can be calculated as the difference of the y-coordinates divided by the difference of the x-coordinates of two points on that line. In this case, we have two points: (10,23) and (20,36).

So, the slope of the line would be:

(36 - 23) / (20 - 10) = 13 / 10 = 1.3.

Therefore, the slope of the line that has the coordinates of (10,23) and (20,36) is 1.3

Answer:

y=3/4x-14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b

We can see that our givens is that the slope is 3/4 and our point is (8,-8)

Let's plug this in and solve for b (b is the y-intercept)

-8=3/4*8+b

-8=24/4+b

-8=6+b

-14=b

Now we write out the equation which is y=3/4x-14

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Answer:

First building = 456

Second building = 438

Third building = 383

Step-by-step explanation:

First building = 73 + x

Second building = 55 + x

Third building = x

Total height of three buildings = 1277

(73 + x) + (55 + x) + (x) = 1277

73 + x + 55 + x + x = 1277

128 + x + x + x = 1277

128 + 3x = 1277

3x = 1149

x = 383

This is the height of the third building.

First building = 73 + x = 73 + 383 = 456

Second building = 55 + x = 55 + 383 = 438

Answer:

\( \sqrt{ {6}^{2} + {10}^{2} } = \sqrt{36 + 100} = \sqrt{136} \)

D is the correct answer.

Answer: Circumcenter

Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.

In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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Answer:

one solution

(second option listed)

Step-by-step explanation:

We can that these two lines, each representing one equation/function, only meet at one specific value.

In a system of equations, we are essentially looking for a solution that works for both equations.

So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.

Because these lines only overlap at one point, this system of equations has one solution.

Answer:

1 solution (C)

Explanation:

They have one point of intersection.

Answer:

60 %

Step-by-step explanation:

Increase in weight 6.56 - 4.1 = 2.46 pounds

2.46 is what percent of 4.1 ?

    2.46 / 4.1   * 100% = 60% increase

If the stock price increases by 10% to $22.836, the market value of Chester is equal to 3,225,987 multiplied by that amount, which equals $73,668,639, or $73.7 million.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.

Here,

The market capitalization formula is: current stock price x outstanding shares.

We may use another question as an example as we are not provided with the total number of shares outstanding or the stock price right now.

In the second query, there were 3,225,987 shares in circulation, and the stock price at the time was $20.76. Therefore, the market capitalization at the moment is $3,225,987 times $20.76, or $66,971,490.

Chester's market value is equal to 3,225,987 multiplied by $22.836, which is $73,668,639, or $73.7 million, if the stock price rises by 10% to $22.836.

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a (9, π/4) in polar coordinates corresponds to (x, y) = (9√2/2, 9√2/2) in rectangular coordinates. b (7, π/2) in polar coordinates corresponds to (x, y) = (0, 7) in rectangular coordinates. c (6, 0) in polar coordinates corresponds to (x, y) = (6, 0) in rectangular coordinates.

To convert from polar to rectangular coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

Let's apply these formulas to each given set of polar coordinates:

(a) (9, π/4):

Using the formulas, we have:

x = 9 * cos(π/4) = 9 * (√2/2) = 9√2/2

y = 9 * sin(π/4) = 9 * (√2/2) = 9√2/2

Therefore, the rectangular coordinates are (x, y) = (9√2/2, 9√2/2).

(b) (7, π/2):

Using the formulas, we have:

x = 7 * cos(π/2) = 7 * 0 = 0

y = 7 * sin(π/2) = 7 * 1 = 7

Therefore, the rectangular coordinates are (x, y) = (0, 7).

(c) (6, 0):

Using the formulas, we have:

x = 6 * cos(0) = 6 * 1 = 6

y = 6 * sin(0) = 6 * 0 = 0

Therefore, the rectangular coordinates are (x, y) = (6, 0).

In summary:

(a) (9, π/4) in polar coordinates corresponds to (x, y) = (9√2/2, 9√2/2) in rectangular coordinates.

(b) (7, π/2) in polar coordinates corresponds to (x, y) = (0, 7) in rectangular coordinates.

(c) (6, 0) in polar coordinates corresponds to (x, y) = (6, 0) in rectangular coordinates.

It is important to note that converting from polar to rectangular coordinates allows us to express points in the Cartesian coordinate system, where x represents the horizontal position and y represents the vertical position. By using the formulas x = r * cos(θ) and y = r * sin(θ), we can determine the corresponding rectangular coordinates based on the given polar coordinates.

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Answer:

w = 8000

Step-by-step explanation:

5(w+4*10^3) = 6(10^4)

5(w+4*1000) = 6(10000)

5(w+4000) = 60000

5w + 20000 = 60000

5w = 40000

w = 8000

The surface area of the part of the sphere that lies inside the cylinder π/2 square units

The surface area of the part of the sphere that lies inside the cylinder, we need to determine the limits of integration for the cylindrical part.

From the equations given, we have:

x² + y² = 2y ---(1)

x² + y² + z² = 4 ---(2)

From equation (1), we can rewrite it as:

x² + (y² - 2y) = 0

x² + (y² - 2y + 1) = 1

x² + (y - 1)² = 1

This equation represents a circle with center (0, 1) and radius 1.

Now, we need to find the limits of integration for the cylindrical part along the z-axis. From equation (2), we have:

x² + y² + z² = 4

Rearranging, we get:

z² = 4 - x² - y²

z = √(4 - x² - y)

Since the cylindrical part lies inside the sphere, the limits of integration for z are from 0 to the upper boundary of the sphere, which is √(4 - x² - y²).

To find the surface area, we integrate the circumference of the circle at each point (x, y) over the given limits of integration.

Surface Area = ∬(x² + y²) dA

Using polar coordinates, we can rewrite the surface area integral as:

Surface Area = ∬(r²) r dr dθ

The limits of integration for r are from 0 to the radius of the circle, which is 1.

The limits of integration for θ are from 0 to 2π, covering the full circle.

Now we can evaluate the surface area integral:

Surface Area = ∫[θ=0 to 2π] ∫[r=0 to 1] (r³) dr dθ

Integrating with respect to r, we have:

Surface Area = ∫[θ=0 to 2π] [(r⁴)/4] from r=0 to r=1 dθ

Surface Area = ∫[θ=0 to 2π] [(1⁴)/4 - (0⁴)/4] dθ

Surface Area = ∫[θ=0 to 2π] (1/4) dθ

Surface Area = (1/4) [θ] from θ=0 to θ=2π

Surface Area = (1/4) (2π - 0)

Surface Area = π/2

Therefore, surface area of the part of the sphere that lies inside the cylinder is π/2 square units.

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Answer: C

Step-by-step explanation:

1% of Rs. 400 = 4

10% of Rs.400 = 40

5%= 20

400+20= Rs. 420 was the price the person may have bought it for

To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner

so...

420+ 5% +1%

so..

420+20+4= 444

The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be  that the person typing in the question may have written the incorrect options.  Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.

Among the options provided, a p-value of "p<.01" indicates a very significant correlation.. So, correct option is B.

A correlation coefficient measures the strength and direction of the relationship between two variables. The p-value associated with the correlation coefficient indicates the statistical significance of that relationship.

The p-value represents the probability of observing the correlation coefficient (or a more extreme value) under the assumption that there is no true correlation in the population.

In statistical hypothesis testing, a smaller p-value indicates stronger evidence against the null hypothesis, suggesting a more significant relationship between the variables.

Among the options provided, a p-value of "p<.01" indicates a very significant correlation. This means that the probability of observing the correlation coefficient (or a more extreme value) under the assumption of no correlation is less than 0.01, or 1%.

In other words, there is strong evidence to suggest that the observed correlation is not due to random chance and is likely a true relationship between the variables.

On the other hand, options such as "p=.05" and "p<.50" indicate less significant correlations, where the probability of observing the correlation coefficient under the null hypothesis is higher. Therefore, the answer that indicates a very significant correlation is "b) p<.01".

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Answer:

3

Step-by-step explanation:

Answer:

I hope this help you

1) The possible values that the random variable X can take are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5. These values represent the difference between the outcomes of the first and second rolls of the die.

When a die is rolled twice, each roll can result in any value from 1 to 6. The difference between the values of the first and second rolls can range from -5 to 5. For example, if the first roll is 1 and the second roll is 6, the difference is -5. Conversely, if the first roll is 6 and the second roll is 1, the difference is 5. The other possible differences can be obtained by subtracting the second roll value from the first roll value.

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Answer:

(a^3)+b

Step-by-step explanation:

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

c

Step-by-step explanation:

it just is the answer have a nice day

Answer:

c

Step-by-step explanation:

c

The standard deviation is 0.0692 and it means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.

Given, In a recent poll, 46% of respondents claimed they would vote for the incumbent governor.

Assuming this is the true proportion of voters that would vote for the incumbent.

Let X be the number of people out of 50 that would vote for the incumbent.

We know that the standard deviation of the sampling distribution of X is:

σ = sqrt [p (1 - p) / n]

Where: p = proportion of success in the population,

n = size of the sample

σ = sqrt [0.46(1 - 0.46) / 50]

σ = sqrt [0.24 / 50]σ = sqrt [0.0048]

σ = 0.0692

Standard deviation of the sampling distribution of X is 0.0692.

It means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.

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The true statements for the given piecewise function are: (a) f(1) = 5 and (d) f(2) = 4.

The function which is defined by the pieces of different functions over different intervals is said to be a piecewise function.

The given piecewise function is

f(x) = 2x for x < 1; f(x) = 5 for x = 1; f(x) = x² for x > 1

(a) Calculating f(1):

Since x = 1 then f(x) = 5;

So, f(1) = 5

Hence this statement is true.

(b) Calculating f(5):

Here x = 5 i.e., x > 1 then f(x) = x²

So, f(5) = 5² = 25

Hence the given statement f(5) = 1 is false.

(c) Calculating f(-2):

Here x = -2 i.e., x < 1 then f(x) = 2x

So, f(-2) = 2(-2) = -4

Hence the given statement f(-2) = 4 is false.

(d) Calculating f(2):

Here x = 2 i.e., x > 1 then f(x) = x²

So, f(2) = 2² = 4

Hence the given statement f(2) = 4 is true.

Therefore, statements (a) and (d) are true.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Given the piecewise function shown below, select all the true statements. (you can choose more than one answer)

f(x) = 2x for x < 1; f(x) = 5 for x = 1; f(x) = x² for x > 1

(a) f(1) = 5

(b) f(5) = 1

(c) f(-2) = 4

(d) f(2) = 4

The sum of t1 and t2 is t_sum(x1, x2) = (5x1, 3x2, 2x1, 3x2 + x2).

The composition of t2 and t1 is t_comp(x1, x2) = (6x1, 2x2, 3x1, 4x2).

Consider the following definitions of the linear transformations t1 and t2:

t1(x1, x2) = (2x1, x2, x1, 2x2) t2(x1, x2) = (3x1, 2x2, x1, x2) We can apply these linear transformations to given vectors and carry out calculations in order to carry out operations on them.

Addition:

By adding the corresponding components of each transformation, we can add the two linear transformations. The sum will be referred to as t_sum.

t_sum(x1, x2) = t1(x1, x2) + t2(x1, x2)

= (2x1 + 3x1, x2 + 2x2, x1 + x1, 2x2 + x2)

= (5x1, 3x2, 2x1, 3x2 + x2)

In this way, the amount of t1 and t2 is t_sum(x1, x2) = (5x1, 3x2, 2x1, 3x2 + x2).

Multiplication in composition:

To find the arrangement of two direct changes, we want to apply one change to the aftereffect of the other change. The composition shall be referred to as t_comp.

t_comp(x1, x2) = t1(t2(x1, x2))

= t1(3x1, 2x2, x1, x2)

= (2(3x1), 2x2, 3x1, 2(2x2))

= (6x1, 2x2, 3x1, 4x2)

Consequently, the organization of t2 and t1 is t_comp(x1, x2) = (6x1, 2x2, 3x1, 4x2).

Final thoughts:

t_sum(x1, x2) = (5x1, 3x2, 2x1, 3x2 + x2) is the sum of t1 and t2.

t_comp(x1, x2) = (6x1, 2x2, 3x1, 4x2) is the composition of t2 and t1.

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Answer:

I think it is the first one