(England,
Wales, Non-
UK 8 (60
minutes)
In the diagram, PQRS, JQK and LRK are straight lines
Р
J
2yº|
Q
xo
K
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
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Question 8
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Question 10
Question 11
M
33°
vo
270/R
L
S
Question 12
Question 13
What is the size of the angle JKL?

Answer:

cant see the picture so srry i cant help

Step-by-step explanation:

Answer:

MK = 80

M= 10

K= 8                  

The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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a. The multiple regression model for predicting current salary is given by:

Current Salary = β0 + β1Beginning Salary + β2Previous Experience (in Months) + β3Total Years of Education.

The coefficients β0 to β3 can be determined using the least squares method.

b. The best model for predicting current salary can be determined by the t-value criterion. This involves fitting the model and evaluating the t-values for each coefficient to determine which ones are significantly different from zero.

The model with the highest t-values for the coefficients is then selected as the best model for predicting the current salary.

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The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer:

If you're in K12 the answers are : 2(9e+25), 50 + 18e

Step-by-step explanation:

Took the test and got it correct, hope this helped.

The simplification form of the expression 5(2e+3)+8(e+4)+3 is 50 + 18e or 2(9e + 25) options (A) and (B) are correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

= 5(2e+3)+8(e+4)+3

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

After simplification:

10e + 15 + 8e + 32 + 3

= 18e + 50

Or

= 50 + 18e

= 2(9e + 25)

Thus, the simplification form of the expression 5(2e+3)+8(e+4)+3 is 50 + 18e or 2(9e + 25) options (A) and (B) are correct.

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Answer: 1, 2, and 4

Step-by-step explanation:

1. Cooper included ALL truthful information.

2. Brianna KNOWS she has the funds.

3. Allison makes a large purchase WITHOUT knowing how she will pay.

4. Greg discloses ALL fees.

Answer:

coconut

Step-by-step explanation:

coconut is yumi

The probability that the sample average is more than 8.40 is 1.02% as per the given pH of the water in the reservoir at a certain level.

The Given data is as follows:

The mean (μ)  = 8.5

The standard deviation (σ)  = 0.22

Sample size (n) = 37

The level of significance (α) = 0.05

We need to calculate  the probability of the sample average that should be more than 8.40.

sample distribution (z) = (x - μ) / (σ/√n)

z = (8.40 - 8.5) / (0.22/√37)

z = -2.57

By using the standard normal table, we can able to find that the probability of  z-score of -2.57. Assuming that this is a two-tailed test, the probability of getting a z-score of 2.57.

The probability of the sample average = 0.0051 + 0.0051 = 0.0102.

Therefore we can conclude that  the probability that the sample average is more than 8.40 is 1.02%.

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The slope of the equation, given, is the pace at which a car enters a garage. Hence, it is 3.56, or around 4 automobiles per hour. Option D is the correct answer.

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

Jamal is the owner of a parking garage and is attempting to determine the correlation between the number of automobiles in the garage and the hour of the day. He discovers that he can represent this using a linear relationship between 4 am and 10 am. y = 3.56x + 2 is the model's equation.

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The complete question of the above answer is

Jamal owns a parking garage and is trying to find the relationship between the hour of the day and the number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. About how many cars are entering the garage every hour?

A) 1

B) 2

C) 3

D) 4

Answer:

The ordered pair (5, 35) in this context indicates that 5 boxed lunches were ordered and the total cost of those lunches was $35.

In the given graph, the x-coordinate represents the number of boxed lunches ordered (in this case, 5), and the y-coordinate represents the total cost of the lunches (in this case, $35). The point (5, 35) indicates the specific combination of the number of boxed lunches and the corresponding total cost on the graph.

The forecaster (or the software) must set three parameters using Winter's exponential smoothing. (Option 4)

Winter's exponential smoothing is a method for forecasting in which the forecast for the next period is weighted more heavily based on the data that was recorded in previous periods.

The formula for Winter's exponential smoothing includes three parameters: alpha, beta, and gamma. Parameters in Winter's exponential smoothing:

alpha: The degree of smoothing that is applied to the level of the series. The alpha value will vary between 0 and 1.

beta: The degree of smoothing applied to the trend of the series. The beta value will vary between 0 and 1.

gamma: The degree of smoothing applied to the seasonal component of the series. The gamma value will vary between 0 and 1.

Hence, the forecaster (or the software) must set three parameters using Winter's exponential smoothing.

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As a result, the slope of the line connecting (-9,-9) and (-9,-7) is said to be ill-defined.

Slope is a mathematical term that describes how steep a line or curve is. The ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between any two locations on a straight line is known as the slope. This can be written as the following formula: Slope = (Y-coordinate change) / (change in x-coordinate) . As an alternative, we can use the slope-intercept representation of a line's equation: y = mx + b where the slope is m and the y-intercept is b (the point where the line intersects the y-axis). In this form, the rate at which y changes in relation to x is shown by the slope, which is the x-coefficient. term's

given

The formula: can be used to determine the slope of a line running through the points (x1, y1) and (x2, y2).

slope equals (y2 - y1)/. (x2 - x1)

Applying this formula and the specified values, we obtain:

slope = (-7 - (-9)) / (-9 - (-9)) = (-7 + 9) / 0

As you can see, the denominator is zero, indicating that the slope is ambiguous. This is the case because the line connecting (-9,-9) and (-9,-7) is vertical, and vertical lines have an ambiguous slope.

As a result, the slope of the line connecting (-9,-9) and (-9,-7) is said to be ill-defined.

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Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in (4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in (6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

Randy

Step-by-step explanation:

Randy:  2 runs / 3 innings = 0.67

Felix:  4 runs / 5 innings = 0.80

Johan:  5 runs / 7 innings = 0.71

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

Answer:

-6

Step-by-step explanation:

it's asking when x is equal to -5 what is y equal to?

there's only one point when x=-5 and it's -6

so the point is (-5,-6) and y is equal to -6

hope this helps and makes sense <3

do well babe

The function that represents this company's profit f(x) depending on the number of items sold, x is

\(f(x)= -10(x-105)^2+18,050.\)

According to one company's profit model, the company has a profit of 0 when 10 units are sold and a maximum profit

of 18,050 when 105 units are sold.

The given information implies that the company's profit is modeled by a quadratic equation with a maximum value of

18,050 when 105 units are sold.

Therefore, the equation should take the form \(f(x) = a(x - 105)^2 + 18,050\).

Using the given information, we can substitute f(x) = 0 and x = 10 into the equation to solve for the value of a.

0 =\(a(10 - 105)^2 + 18,0500    

  = a(-95)^2 + 18,0500\)

  = 9025a + 18,050-18,050

 = 9025a-18,050/9025

 = aa

 = -2

Therefore, the equation for the company's profit is:

\(f(x) = -10(x - 105)^2 + 18,050.\)

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Answer:

f(x)=−10(x−105)2+18,050

Step-by-step explanation:

The answer above is correct.

Answer:

infinitely many solutions

Step-by-step explanation:

If we multiply as indicated, 4x + 12 = 2(2x + 6) becomes 4x + 12 = 4x + 12.

This is ALWAYS true, so the given equation has infinitely many solutions.

Answer:

Infinitely many solutions

Step-by-step explanation:

\(4x + 12 = 2(2x + 6)\)

Step 1: distribute on one side of the equation.

\(2(2x + 6)\\2\cdot2x = 4x\\2\cdot6=12\)

\(4x + 12 = 4x + 12\)

As you can see, this equation is balanced. And we've reached the end of our solution. Although we can still further solve, this result has shown that 4x + 12 is equal to 4x+ 12.

We could still subtract 12 from both sides.

it would result in zero. So we have:

\(4x=4x\\\)

This means 4 divided by 4. Four divide by four is 1

\(=1\)

The equation would still have infinite ways of solving it.

Answer:

the first one is D, the second one is B i think :)

Step-by-step explanation:

Answer:

14) D.

15) D.

Step-by-step explanation:

14)

The line has a positive slope, with a y-intercept: (0, 5).

15)

The line has a negative slope, with a y-intercept: (0, -2).

Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.

Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.

Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.

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Answer:

65

Step-by-step explanation:

the square means 90 add that to 25 and subtract from 180

Answer:

x =  65

Step-by-step explanation:

The measure of the entire angle is 180°. The angle on the furthest left (with a square in it) is a right angle, meaning that it is 90°.

All three of the angles (90°, x°, 25°) all add up to the measure of the line, which is 180°. So, we can write this equation.

90 + x + 25 = 180

Subtract 90 and 25 from both sides.

90 + x + 25 - 90 - 25 = 180 - 90 - 25

x =  65

Answer:

\(\large\boxed{x = -4}\)

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

\(\large\boxed{x = -4}\)

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

The number after using rational exponents will be 2✓2.

The major rational properties are commutative property, closure property, associative property and distributive property. To solve this question, the rational property to be used is :

\( \sqrt[n]{ab} = \sqrt[n]{a} \times \sqrt[n]{b} \)

As per the known fact, we can write 8 as 2²×2. So, Number = ✓2²×2

Using rational property we will rewrite this number as -

Number = ✓2² × ✓2

Solving the square root

Number = 2✓2

Therefore, as per the rational property we can write the number as 2✓2.

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Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

Answer:

sin45°= opp/hyp

opp= 6

hyp=x

sin45°=6/x

x=6÷0.7071

x=8.49