Ay
4
This graph displays a linear function. What is the rate
of change?
2
Rate of change =
X
-2
2
-2

Answer:

£40

Step-by-step explanation:

If £1 = $1.35

To convert $ to £, divide $ by 1.35

⇒ $54 = 54/1.35 = £40

Let x be the monthly salary of an executive in an engineering firm. According to the question, she earns a total of $83,300 per year.

Therefore: Annual salary = 12 × monthly salary + Christmas bonus$83,300 = 12x + $6,500.

Simplifying the above equation we get:$83,300 − $6,500 = 12x$76,800 = 12xDividing both sides by 12, we get the monthly salary of the executive: x = $6,400.

Therefore, the monthly salary of the executive is $6,400. This is the required solution of the given problem.

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The value of the part of 20 that is 46% is 9.2.

Percentage is simply a number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Plug the given values into the above formula and solve for the part.

Percentage = ( Part / Whole ) × 100%

46% = ( Part / 20) × 100%

46/100 = ( Part / 20 ) × 100/100

46/100 = ( Part / 20 ) × 1

46/100 = Part / 20

Cross multiply

46 × 20 = Part × 100

920 = Part × 100

Part = 920/100

Part = 9.2

Therefore, 9.2 is 46 percent of 20.

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Answer: 7

Step-by-step explanation:

The value of the numerical expression 7 − (−19) − 18 + (−19) + 18 will be 7.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 7 − (−19) − 18 + (−19) + 18

Simplify the expression, then the value of the expression is given as,

⇒ 7 − (−19) − 18 + (−19) + 18

⇒ 7 + 19 − 18 − 19 + 18

⇒ 7

The worth of the mathematical articulation 7 − (−19) − 18 + (−19) + 18 will be 7.

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Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

Answer:

o,m would be 20

Step-by-step explanation:

because the other side is 20 and you just put 10 on the other side

Answer:

See below

Step-by-step explanation:

OM   triangle OCB is isosceles rt triangle with hyp = 10

    Pythagorean theorem

            10^2  = S^2 + S^2     Shows s = sqrt (50)

                then triangle COM

                    pythagorean theorem again

                        5^2 + OM^2 = (sqrt(50))^2

                         25 +  OM^2 = 50

                                   OM^2 = 25

                           OM = 5 cm

Funny....here is an easier way    OM is 1/2 way across the square with side length of 10     so it is = to 5 cm

  ~D'Oh !

Angle VMO :     VO = 12    OM = 5      ARCTAN (12/5) = 67.4°

Angle  VBM:       VM =  12/sin67.4 = 13 cm     then ARCTAN 13/5 = 69°

Answer:

The expression represent the expected cost of the cell phone bill next year is: c=1.075b.

Step-by-step explanation:

With the information provided, you can say that the expected cost of the cellphone bill next year would be equal to the current bill multiplied for 1 plus the increase in decimal numbers, so the increased amount is added to the current cost. The equation would be:

c=b*(1+0.075)

c=b*1.075

c=1.075b

According to this, the answer is that the expression represent the expected cost of the cell phone bill next year is: c=1.075b.

The test statistic for this sample and the p-value for this sample is  t = 0.467.

Given:

sample of size n=305

M=83.6

SD=14.9.

Significance level of α = 0.001 . H o : μ = 82.4 H a : μ ≠ 82.4

To find the Test statistic

\(test=\frac{\bar x-\mu}{\frac{s.t}{\sqrt{n} } }\)

    \(=\frac{82.4.6-83.6}{\frac{14.9}{\sqrt{305} } }\)

     \(0.467\)

P-value:

With t = 0.467.

p-value = (1 - 0.467)

0.533 > 0.001

So, fail to reject H₀

Therefore, the failing to reject the Null Hypothesis.

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The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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The required equation of the ellipse is (x - 1)² / 49 + (y + 3)² / 25 = 1. which is the correct answer would be an option (A).

The equation of an ellipse with a vertical major axis and center at (h, k) is given by the formula (x - h)² / a² + (y - k)² / b² = 1, where a is the length of the major axis and b is the length of the minor axis.

As per the question, the ellipse has a vertical major axis and center at (1, -3), a = 7, and b = 5.

Substituting these values into the formula, we get:

(x - 1)² / 7² + (y + 3)² / 5² = 1

Simplifying this expression, we get:

(x - 1)² / 49 + (y + 3)² / 25 = 1

Thus, the required equation of the ellipse is (x - 1)² / 49 + (y + 3)² / 25 = 1.

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Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

To calculate the future value we need to use the compound formula:

where P is the principal, r is the interest rate in decimal form, n is the number of times the interest is compound in any given time t.

In this case we have that P=901, r=0.035 and since the interest is compound semiannually this means that n=2. Finally t=6. Plugging this values into the equation above we have that:

Therefore the future value would be $1109.53

The type of error that occurred in the statistical test is a Type I error (false positive).

In the given scenario, the statistical test resulted in the conclusion that the average time for processing a claim exceeds 5 days. However, it is later discovered that the mean process time does not actually exceed 5 days. Based on this information, the type of error that occurred in the statistical test is a Type I error.

Type I error, also known as a false positive, refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis stated that the average time for processing a claim is not more than 5 days. However, due to some statistical variability or other factors, the test incorrectly led to the rejection of the null hypothesis, concluding that the average time does exceed 5 days.

In reality, when it was later discovered that the mean process time does not exceed 5 days, it indicates that the initial conclusion drawn from the statistical test was incorrect. This erroneous conclusion could have been caused by various factors such as sampling variability, measurement errors, or other random fluctuations in the data.

It is important to note that Type I errors can occur in hypothesis testing, and they represent the risk of incorrectly rejecting a true null hypothesis. In this case, the insurance company made a Type I error by concluding that the average processing time exceeds 5 days, even though it was not the case.

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For the statement to happen, the number should be 2.

An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.

Let x = number

Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.

Hence, (11 + x) / (35 + 2x) = 1/3.

Simplify and solve for the value of x.

3(11 + x) = (35 + 2x)

33 + 3x = 35 + 2x

3x - 2x = 35 - 33

x = 2

number = 2

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Answer:

6/100x

Step-by-step explanation:

Answer:6/100x

Step-by-step explanation:

Answer:

b = 9 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

here h = 2b , then

\(\frac{1}{2}\) × b × 2b = 81

\(\frac{1}{2}\) × 2b² = 81

b² = 81 ( take square root of both sides )

b = \(\sqrt{81}\) = 9 cm

The values within the range of the piecewise-defined function are

y = -6,  y = -4, y = 1 and y = 3.

A piecewise function, or f(x), is a function with various definitions at various intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions. A very good illustration of a piecewise function is the absolute value function.

Given f(x) = 2x + 3,   if x < -3

f(x) = x, if  x = -3

f(x) = -x - 2, if  x > -3

the function will be at x ≤ -3 and x ≥ -3

We now wish to determine which values fall within this function's range. Keep in mind that the set of possible outputs from a function constitutes its range.

The range of the first part of the function f(x) = 2*x + 2 has an upper bound at x = -3

f(-3) = 2*-3 + 2 = -6 + 2 = -4

Then the range of the first part is (-∞, -4)

Notice that the actual value -4 belongs to the range because x is smaller than and equal to -3.

The range of the second part has a lower bound for x = -3, the lower bound is:

f(-3) = -(-3) - 2 = 1

Then the range of this part is (1, ∞)

Then the range of the piecewise function is:

(-∞, -4) U (1, ∞)

and including -4 and 1

y = -6,  y = -4

y = 1,     y = 1

Hence values in the range are y = -6,  y = -4, y = 1, and y = 3.

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In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Answer:

1. The value of x is 9.4.

2. The value of y is 17.7.

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 32°

Hypothenus = y

Opposite = x

Adjacent = 15

1. Determination of the value of x.

The value of x can be obtained as follow:

Angle θ = 32°

Opposite = x

Adjacent = 15

Tan θ = Opposite /Adjacent

Tan 32° = x/15

Cross multiply

x = 15 × Tan 32°

x = 9.4

Therefore, the value of x is 9.4

2. Determination of the value of y.

The value of y can be obtained as follow:

Angle θ = 32°

Hypothenus = y

Adjacent = 15

Cos θ = Adjacent /Hypothenus

Cos 32° = 15/y

Cross multiply

y × Cos 32° = 15

Divide both side by Cos 32°

y = 15/Cos 32°

y = 17.7

Therefore, the value of y is 17.7.

It would be appropriate to construct a t-interval to estimate the population mean.

To determine whether it is appropriate to construct a t interval to estimate the population means, we need to consider if the sample size is large enough and if the population standard deviation is known.

If the sample size is less than 30 and the population standard deviation is not known, then it would be appropriate to use a t-interval.In this case, the sample size is 32, which is large enough to assume that the sample mean is an accurate representation of the population mean.

However, the population standard deviation is not known, so it would be appropriate to use a t interval. The t interval can be calculated using the sample mean, sample standard deviation, and degrees of freedom, which is the sample size minus 1.

The t interval will provide a range of values that we can be confident the population mean falls within, given the sample mean and variability.

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How much time do students spend on the internet? We collect data from the 32 members of our AP Statistics class and calculate the mean amount of time that each student spent on the Internet yesterday. Discuss whether it would be appropriate to construct a t interval to estimate the population mean.

Answer:

c bc it describsj7jndifkrk shdhitm

Answer:

64

Step-by-step explanation:

\({4}^{3} \)

There are 3 'variables' here. Red, blue and green. So, you multiply 4 by the power of 3.

Hope this helps!

Answer:

x<5

Step-by-step explanation:

We solve this question as if it was an equation but keep the sign an inequality sign this will be flipped when you divide both sides.
-5x+27>2
Subtract 27 from both sides:
-5x+27-27>2-27
-5x>-25
Divide both sides by -5 AND FLIP THE SIGN:
-5x/-5<-25/-5
x<5
If we substitute 5 into the inequality it will not be true but if you do any number below 5 it will work.
Therefore x<5 is the correct answer

Answer:

10.7

Step-by-step explanation:

The correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores. This suggests that as study times increase, there is a tendency for test scores to also increase. However, the relationship is not extremely strong.

The correlation coefficient, denoted by 'r', ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other tends to increase as well. In this case, the correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores.

It's important to note that the correlation coefficient of 0.49 falls between 0 and 1, closer to 1. This suggests that there is a tendency for test scores to increase as study times increase, but the relationship is not extremely strong. Other factors may also influence test scores, and the correlation coefficient does not imply causation.

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To sketch and shade the region defined by the inequality y ≥ x² - 9, we can start by graphing the equation y = x² - 9, which is a parabola.

First, plot the vertex of the parabola, which occurs at the point (0, -9).

Next, choose some x-values and find the corresponding y-values using the equation y = x² - 9. For example, when x = -3, y = (-3)² - 9 = 0, giving us the point (-3, 0). Similarly, when x = 3, y = (3)² - 9 = 0, giving us the point (3, 0).

Plot these points on the graph and draw a smooth curve through them, representing the parabola y = x² - 9.

Next, we need to shade the region above the parabola, which represents the solution to the inequality y ≥ x² - 9. To do this, we can shade the area above the curve, including the curve itself.

The final sketch will show the shaded region above the parabola y = x² - 9.

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Answer:

the answer is "the sum of primes is equal to an even number"

Step-by-step explanation:

The sum of primes is equal to an even number. Then option A is correct.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number.

Prime numbers = { 1 , 2 , 3 , 4 , 5 ..............}

The given pattern is,

4 = 2 + 2

6 = 3 + 3

8 = 3 + 5

10 = 3 + 7

12 = 5 + 7

In the given pattern we can see that the sum of all the prime numbers is an even number.

Hence, option A is correct.

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The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

12x^3 - 2x² + 18x-3

= 2x²(6x-1) + 3(6x-1)

= (6x-1)(2x²+3)

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Answer:

A.

Step-by-step explanation: