Can somebody explain this and answer it please.

Answer:

the answer is a

Step-by-step explanation:

because 60/6= 10

The percent of observations fall below 0.40 is 1.00

Since we are given the points we are (0, 1),(0.4, 1),(0.4, 1), and (0.8, 2), we got the graph for the points

The region beneath the chart breaks even with 1 and we are told to discover the percent of the observation that drops underneath 0.40 what this implies is that we ought to discover the rate of the observation that drops inside 0.40 of 1 which is the entire area. So,

P(O) = 0.40 × 1 = 0.40 , where O is the observations

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Answer:

Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.

Step-by-step explanation:

How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

The absolute value function that could represent this situation is:

\(|D - 42.67| = 0.002\)

The absolute value function is defined by:

\(|x| = x, x \geq 0\)

\(|x| = -x, x < 0\)

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

\(|D - 42.67| = 0.002\)

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Answer:

the ans is 108

Step-by-step explanation:

let the three consecutive no. be 'x'

by question:

x+x+x=324

or,3x=324

or,x =324÷3

or, x=108

checking this answer

108+108+108

=324

Circle O is represented by the equation (x+7)² + (y + 7)² = 16. The length of the radius of Circle O is 4.

The equation of Circle O, (x+7)² + (y+7)² = 16, is in the standard form of a circle equation: (x - h)² + (y - k)² = r². Comparing it to the given equation, we can determine the values of h, k, and r.

In the given equation:

Center coordinates: (-7, -7) → h = -7, k = -7

Radius squared: 16 → r² = 16

To find the length of the radius, we need to take the square root of r²:

r = √(16)

Calculating the square root, we get:

r = 4

Therefore, the length of the radius of Circle O is 4.

Looking at the answer options, we see that the correct answer is Option B which is equal to 4.

The equation of a circle in the standard form (x - h)² + (y - k)² = r² represents a circle with center (h, k) and radius r. By comparing the given equation to the standard form, we can extract the values of h, k, and r. Taking the square root of r² gives us the length of the radius, which in this case is 4.

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The confidence interval for the population mean is 72.05036, 90.38714

Confidence interval = sample mean ± (critical value) × (standard deviation / √(sample size))

Test scores of 32 students at a 99% confidence level.

Mean = Summing of all the test scores /sample size

80 + 74 + 61 + 93 + 96 + 70 + 80 + 64 + 51 + 98 + 93 + 87 + 72 + 77 + 84 + 96 + 100 + 67 + 71 + 79 + 99 + 85 + 66 + 70 + 57 + 75 + 86 + 92 + 94 + 70 + 81 + 89 = 2599

Sample mean = 2599 / 32 = 81.21875

For standard deviation

The sum of squared deviations from the sample mean:

(80 - 81.21875)² + (74 - 81.21875)² + ... + (89 - 81.21875)² =

divide the sum by the sample size -1 and take the square root

√(12774.5625 / (32 - 1)) = √(400.4545455) = 20.011

Standard deviation = 20.011

The critical value for a 99% confidence level is approximately 2.617.

Putting the values into the formula

Confidence interval = 81.21875 ± (2.617) × (20.011 / √(32))

Calculating the square root of the sample size

√(32) = 5.656854249

Confidence interval = 81.21875 ± (2.617) × (20.011 / 5.656854249)  Confidence interval = 81.21875 ± 9.16839

The lower bound of the confidence interval is approximately 72.05036, and the upper bound is approximately 90.38714.

Therefore, the 99% confidence interval for the population mean is approximately (72.05036, 90.38714).

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Answer:

b i believe

Step-by-step explanation:

The solution to the equation is k = -4.

A fraction is a mathematical value that illustrates the components of a whole.

The given equation is:

(k - 10) / 2 = -7

To dissolve the fraction, we can multiply both sides of the equation by 2:

(k - 10) / 2 × 2 = -7 × 2

Simplifying the left-hand side of the equation, we get:

k - 10 = -14

Adding 10 to both sides of the equation, we get:

k - 10 + 10 = -14 + 10

Simplifying, we get:

k = -4

Therefore, the solution to the equation is k = -4.

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The arc length of the curve given by x = cos2t and y = sin2t is given by the formula:

Arc Length = $\int_a^b \sqrt{1+[(\frac{dy}{dx})^2]}dx$

Here, $\frac{dy}{dx} = \frac{d}{dx}[sin2t] = 2cos2t$

Therefore, the arc length is given by:

Arc Length = $\int_a^b \sqrt{1+(2cos2t)^2}dx$

We can solve this integral using integration by parts:

Let u = 2cos2t and dv = dx

Let du = -4sin2t dt and v = x

Arc Length = xu - $\int_a^b vdu$

Arc Length = x(2cos2t) + $\int_a^b x(-4sin2t)dt$

Arc Length = x(2cos2t) - 4 $\int_a^b xsin2tdt$

Arc Length = x(2cos2t) - 4[xcos2t - $\int_a^b cos2tdt$]

Arc Length = x(2cos2t) - 4[xcos2t - sin2t]$_a^b$

Therefore, the arc length of the curve given by x = cos2t and y = sin2t is given by:

Arc Length = x(2cos2t) - 4[xcos2t - sin2t]$_a^b$

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Answer:

yes because 0.5 is 50%

Step-by-step explanation:

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The distance between the points = |-6 2/3 - 4 1/3| = |-20/3 - 13/3| = |-33/3| = |-11| = 11 units.

The distance between two points on a number line is the absolute difference between their coordinates.

Given the following points are on a number line:

-6 2/3 and 4 1/3

The distance between the points = |-6 2/3 - 4 1/3|

The distance between the points = |-20/3 - 13/3|

The distance between the points = |(-20 - 13)/3|

The distance between the points = |-33/3| = |-11|

The distance between the points = 11 units.

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Answer:

0.64 feet or 7.68 inches of snow on average over the 5 days.

Step-by-step explanation:

3.2/5

0.64ft

7.68in.

Answer:

SU=2x-12

ST=x-7

TU=6

now

SU=ST+TU

= x-7+6

=x-11

The value of angle GFD in the inscribed angle is 140 degrees

An inscribed angle is an angle formed by two chords of a circle that intersect within the circle. The vertex of the angle is on the circumference of the circle and the rays of the angle are chords of the circle. The measure of an inscribed angle is equal to half the measure of the central angle that intercepts the same arc as the inscribed angle.

An inscribed angle is equal to half the measure of its intercepted arc. Since arc FD measures 280, the measure of angle GFD is half of 280, or 140 degrees. To the nearest degree, the measure of angle GFD is 140.

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Answer:

47°

Step-by-step explanation:

Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.

m<BOC +m<AOB = 180°

6x + 29 + 3x + 124 = 180

Solve for x

6x + 3x + 29 + 124 = 180

9x + 153 = 180

Subtract both sides by 153

9x = 180 - 153

9x = 27

Divide both sides by 9

x = 3

m<BOC = 6x + 29

Plug in the value of x

m<BOC = 6(3) + 29

m<BOC = 18 + 29 = 47°

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

Answer:

C. x = 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Solve for X

7 + 5 ( x - 3 ) = 22

7 + 5x - 15 = 22

-8 + 5x = 22

5x = 30

x = 6

Now check your work

7 + 5 ( 6 - 3 ) = 22

7 + 5 ( 3 ) = 22

7 + 15 = 22

22 = 22

For the given equations, using slope formula option B: Lines 3 and 4 are parallel, is the correct option.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The four different equations are given.

To identify parallel lines, we need to compare their slopes.

If two lines have the same slope, they are parallel.

Line 1 is in slope-intercept form (y = mx + b) where the slope is m = 8.

Line 2 is in point-slope form (y - y1 = m(x - x1)) where the slope is m = 1/8.

Line 3 is in slope-intercept form where the slope is m = 3.

Line 4 is in slope-intercept form where the slope is m = 1/3.

Comparing the slopes, we see that -

Lines 1 and 2 have different slopes, so they are not parallel.

Lines 1 and 3 have different slopes, so they are not parallel.

Lines 1 and 4 have different slopes, so they are not parallel.

Lines 2 and 3 have different slopes, so they are not parallel.

Lines 2 and 4 have different slopes, so they are not parallel.

Lines 3 and 4 have the same slope (m = 3), so they are parallel.

Therefore, lines 3 and 4 are parallel.

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12 feet is equivalent to 3 inches according to the given Scale.

In the given scale, 1/4 inch represents 1 foot. To determine how many inches represent 12 feet, we can set up a proportion using the scale:

(1/4 inch) / (1 foot) = x inches / (12 feet)

To solve for x, we can cross-multiply:

(1/4) * (12) = x

3 = x

Therefore, 3 inches represent 12 feet.

According to the scale, for every 1/4 inch on the drawing, it represents 1 foot in actual measurement. So if we multiply the number of feet by the scale factor of 1/4 inch per foot, we get the corresponding measurement in inches.

In this case, since we have 12 feet, we can multiply 12 by the scale factor of 1/4 inch per foot:

12 feet * (1/4 inch per foot) = 12 * 1/4 = 3 inches

Hence, 12 feet is equivalent to 3 inches according to the given scale.

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The tangent at any point on the curve x=(eᵗ)cost, y=(eᵗ)sint, z=eᵗ makes a constant angle with the Z-axis, which is equal to the arctan of the square root of 2.

To show that the tangent at any point on the curve makes a constant angle with the Z-axis, we need to show that the dot product of the tangent vector and the unit vector along the Z-axis is constant.

Let P be a point on the curve, and let t be the parameter value at P. The position vector of P is given by r(t) = (eᵗ)cost i + (eᵗ)sint j + eᵗ k.

Taking the derivative with respect to t, we get the tangent vector T(t) = ((eᵗ)cos(t) - (eᵗ)sin(t)) i + ((eᵗ)sin(t) + (eᵗ)cos(t)) j + (eᵗ) k.

The dot product of T(t) and the unit vector along the Z-axis, k/|k|, is given by:

T(t) · (k/|k|) = (eᵗ) k · (k/|k|) = eᵗ |k|/|k| = eᵗ.

Therefore, the tangent vector T(t) makes a constant angle with the Z-axis, and the angle is given by the inverse tangent of eᵗ.

Hence proved.

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Answer: The product of the two numbers is 2400.

Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.

Answer:

10.8

Step-by-step explanation:

6% of 180 is 10.8

The end behavior of the graph of the function f(x) =\(11 - 18x^2 - 5x^5 - 12x^4 - 2x\) is that the graph decreases without bound as x approaches positive or negative infinity.

To determine the end behavior of the graph of the function f(x) = 11 - \(18x^2 - 5x^5 - 12x^4 - 2x,\) we need to analyze the leading term of the polynomial.

The leading term is the term with the highest degree, which in this case is \(-5x^5\). As x approaches positive or negative infinity, the leading term dominates the behavior of the function.

The degree of the leading term is odd (5), and the coefficient is negative (-5). This tells us that as x approaches positive or negative infinity, the graph will show a similar behavior in both directions: it will either increase without bound or decrease without bound.

Since the coefficient is negative, the graph will have a downward trend as x approaches infinity in both the positive and negative directions.

In terms of the specific shape of the graph, we know that the function is a polynomial of odd degree, so it may exhibit "wavy" behavior with multiple local extrema and varying concavity.

However, when considering the end behavior, we focus on the overall trend as x approaches infinity. In this case, the function will approach negative infinity as x approaches positive infinity, and it will also approach negative infinity as x approaches negative infinity.

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Answer:

Point B would be at 2.5

Step-by-step explanation:

The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.

Answer:

2.5

Step-by-step explanation: i did it on a test and got it right

Answer:

Step-by-step explanation:

The length of the sides is 44 cm. Did you mean the diagonal? it is 44*sqrt(2) = 62.23

The area = side * side = 44 * 44 = 1936

Answer:

This is the correct answer with step by step explanation

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

x = 0

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0