solve for x

x/9=3

whats x

Answer:

The percent error in using 2.71 as an approximation of e, 2.718, is 0.9%. This can be calculated by taking the difference between the two values (2.718 - 2.71) and dividing it by the actual value (2.718) to get 0.009, or 0.9%.

The percent error in using 2.71 as an approximation of e, 2.718, would be;  0.9%.

Let consider the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

\(\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100\)

Hence, it can be calculated by taking the difference between the two values (2.718 - 2.71) and dividing it by the actual value (2.718) to get 0.009, or 0.9%.

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Answer:

24 - 3y

Step-by-step explanation:

Since the sum of the two numbers is 8, the larger number is 8 - y.

Three times the larger number: 3 (8 - y).

Simplify using Distributive property: 3 (8 - y) = 24 - 3y.

So the answer is 24 - 3y

Answer:

(-3,2)

Step-by-step explanation:

Go where the two coordinates match, you'll see that it's (-3,2).

I see that that's Edge2021, I know how that feels. :/

Hope this helped! :)

Answer:

 (-3, 2)

Step-by-step explanation:

If it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

If the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

Dilations is a transformation technique used to enlarge or diminish an image.

Given the coordinate points A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4), it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

Similarly if the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

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The question requires you to use the value of x as 2 in the expression.

This means where there is x in the expression, replace it with 2 then perform the operation.

So, given the expression as :

x^3 + 7x + 2

2^3 + 7*2 + 2

[2*2*2] + [7*2] + 2

8 + 14 + 2

24

Answer

24

The sample space of the given condition of the dice thrown twice is given by {(4,4),(4,6),(4,10),(4,12),(4,15),(4,24),(6,4),(6,6),(6,10),(6,12),(6,15),(6,24),(10,4),(10,6),(10,10),(10,12),(10,15),(10,24),(12,4),(12,6),(12,10),(12,12),(12,15),(12,24),(15,4),(15,6),(15,10),(15,12),(15,15),(15,24),(24,4),(24,6),(24,10),(24,12),(24,15),(24,24)}. Sample space is the listing of all the possible outcomes of any event.

Now, each of these elements will have the probability of 1/36

Now, we find probability that HCF = 5.

Elements having HCF = 5 are (10,15) and (15,10).

Probability of HCF is 5 = P(10,15) + P(15,10)

= 1/36 + 1/36

= 2/36

= 1/18

Now, probability of HCF greater than 3.

Elements having HCF greater than 3 are (4,4),(4,12),(4,24),(6,6),(6,12),(6,24),(10,10),(10,15),(12,4),(12,6),(12,12),(12,24),(15,10),(15,15),(24,4),(24,6),(24,12) and (24,24).

There are 18 elements.

Probability of HCF greater than 3 = 18/36

= 1/2

Now, probability HCF not equal to 12

Elements having HCF = 12 are (12,12),(12,24) and (24,12).

Probability of HCF is 12 = 3/36

= 1/12

Probability of HCF not 12 = 1 - 1/12 = 11/12

Probability of HCF not equal to 24

Elements having HCF = 24 are (24,24)

Probability of HCF is 24 = 1/36

Probability of HCF not 24 = 1 - 1/36 = 35/36

Now, probability of HCF is even number.

Elements having even HCF are (4,4),(4,6),(4,10),(4,12),(4,24),(6,4),(6,6),(6,10),(6,12),),(6,24),(10,4),(10,6),(10,10),(10,12),(10,24),(12,4),(12,6),(12,10),(12,12),(12,24),(24,4),(24,6),(24,10),(24,12) and (24,24).

There are 25 elements.

Probability of even HCF = 25/36

Now, probability of HCF is equal to only one of the two numbers thrown.

Elements with HCF equal to one of the numbers are (4,4),(4,12),(4,24),(6,6),(6,12),(6,24),(10,10),(12,4),(12,6),(12,12),(12,24),(15,15),(24,4),(24,6),(24,12) and (24,24).

There are 16 elements.

Probability of HCF as one of the thrown numbers = 16/36 = 4/9

Thus, we find probability of all the given conditions with the help of sample space.

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Complete Question:

An unbiased cubical dice has six faces numbered 4, 6,10,12,15, and 24. The die is thrown

twice and the Highest common factor of both results is recorded.

(a) Draw a possibility diagram (Sample space diagram) to show the possible outcomes

(b) Calculate the probability that:

(i) The HCF is 5

(ii) The HCF is greater than 3

(iii) The HCF is not 12

(iv) The HCF is not 24

(v) The HCF is even number

(vi) The HCF is equal to only one of the two numbers thrown.

Answer:

Yes. This is half a square, a full square has 360 degrees total because it has 4 right angles which are each 90. We know that there is a 50 degree and 90 degree angle, and since this is split it is 180 total. 180-140=40 degrees, so yes.

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

3 1/2

Step-by-step explanation:

.5 equals one half or 1/2

3.5 equals 3 1/2

Answer:

3 ½

Step-by-step explanation:

when you convert your decimal to a mixed number it is the easiest to find a common value of it. if you take ½ and turn it into a decimal it would be .5 or 50/100. its all about finding the lowest common denominator

Answer:

500,000

Step-by-step explanation:

9-4=5 just add the zeros

Answer:

aahhhh

Step-by-step explanation:

Answer:

A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4

Multiply numerator and denominator by (1 - √5)

Answer:

We are aware of the equation.

Equation 1 reads (fg)(x) = f(x) * g(x).

Hence, we can resolve it as follows:

Given equation: equation 2 (fg)(x) = 3x (x2 + 5)

Equation 3 is obtained by comparing equations 1 and 2, as follows:

"f(x)*g(x)" equals "3x (x2 + 5" - The equation 3 that is provided: f(x) = x2 + 5

When we change equation 3 to read f(x) = x2 + 5, we get:

(x2 + 5) * g(x) = 3x (x2 + 5)

See what both equations have in common; it is (x2 + 5)

The result of dividing both sides by x2 + 5 is:

g(x) = 3x

G(x) will therefore have a value of 3x.

From the above equation given in the question , we get that g(x)  have a value of 3x.

We are aware of the equation.

Equation 1 reads (fg)(x) = f(x) * g(x).

Hence, we can resolve it as follows:

Given equation: equation 2 (fg)(x) = 3x (x2 + 5)

Equation 3 is obtained by comparing equations 1 and 2, as follows:

"f(x)*g(x)" equals "3x (x2 + 5" - The equation 3 that is provided: f(x) = x2 + 5

When we change equation 3 to read f(x) = x2 + 5, we get:

(x2 + 5) * g(x) = 3x (x2 + 5)

See what both equations have in common; it is (x2 + 5)

The result of dividing both sides by x2 + 5 is:

g(x) = 3x

G(x) will therefore have a value of 3x.

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

1

Step-by-step explanation:

Given the pulse rate for 12 students :

76 60 59 60 81 72 91 80 80 68 73 77

Creating class intervals ::

Width = 10

59, 60, 60, 68, 72, 73, 76, 77, 80, 80, 81, 91

Interval ____ Frequency

50 - 59 ______ 1

60 - 69 ______ 3

70 - 79 ______ 4

80 - 89 ______ 3

90 - 99 ______ 1

Frequebcy if the 50 - 59 class interval is 1

Answer: 60

Step-by-step explanation:

Answer:

The standardized value is -2

Step-by-step explanation:

Given

\(mu = 20\) -- mean

\(\sigma = 2\) --- standard deviation

Required

Determine the standardized value of X = 16

The standardized value (S) is calculated using:

\(S = \frac{X - mu}{\sigma}\)

This gives:

\(S = \frac{16 - 20}{2}\)

\(S = \frac{- 4}{2}\)

\(S = -2\)

The standardized value is -2

(a) At 90% confidence Interval, the value will be 79.81.

(b) A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) At 95% the value is 79.53.

(d) the width of a confidence interval as the value of the confidence coefficient is increased.

(e) the condition guarantees that the sampling distribution of x is approximately normal.

(a) 100 -90 = 10

10/2 = 5

5/100 = 0.05

Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.05) =1.64

Use Q/Sqrt(n) * Z Score + x(bar) (upper Bound)

8.5/Sqrt(100) * 1.64 + 81.2 (upper Bound) =82.59

Use 8.5/Sqrt(100) * 1.64 -81.2 (lower bound) = 79.81

(b) When you say that a confidence coefficient is 0.90 we mean that

A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.025) =1.96

Use Q/Sqrt(n) * Z Score + xbar (upper Bound)

8.5/Sqrt(100) * 1.96 + 81.2 (upper Bound) =82.87

Use 8.5/Sqrt(100) * 1.96 -81.2 (lower bound) = 79.53

(d) The confidence coefficient is increased while the sample size is held​ fixed is an increase , critical value. increase.

(e) ​Yes, since the sample sizes are large (n≥​30) and randomly selected from the target​ population, the condition guarantees that the sampling distribution of x is approximately normal.

Complete Question:

A random sample of 36 observations from a normally distributed population possesses a mean equal to 17 and a standard deviation equal to 6.

Use this information to complete parts a through e below.

a. Find a 90​% confidence interval for μ.

b. What do you mean when you say that a confidence coefficient is 0.90​?

c. Find a 95​% confidence interval for μ.

d. What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held​ fixed?

Increasing the confidence coefficient while keeping the sample size fixed will cause an increase in the critical value. This means that the width of the confidence interval will increase.

e. Would your confidence intervals of parts a and c be valid if the distribution of the original population were not​ normal? Explain.

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So we probably the question is find equation of graph

Take two points

Slope

Equation

Answer:

y=0.8x or 5y=4x

Step-by-step explanation:

Solution Given:

let weight be x and increase in length be y.

since the line passes through centre it doesn't have constant term

the equation will be y=mx.

where m is the slope

to find the slope m = y intercept/x intercept=0.8 or 4/5

equation becomes

y=0.8 x

or'

y=4/5*x

5y=4x

Answer: Hello attached below is the complete question

answer :

It is convergent ,  sum = 7/12

Step-by-step explanation:

Sn = 1/3 + 1/4 - 1/n - 1/n+1

It is convergent  and the sum = 7/12

attached below is the remaining part of the solution

Applying the inscribed angle theorem, the measures of the angles and arcs in the image given are:

Arc QR = 48°

Arc RS = 96°

Arc QPS = 216°

Arc PSR = 186°

Arc SRQ = 144°

The inscribed angle theorem state that the measure of an intercepted arc is equal to twice the measure of the inscribed angle.

Find arc PSR:

Arc PSR = 2(93) [based on the inscribed angle theorem]

Arc PSR = 186°

Find arc QR:

Arc QR = 360 - arc PQ - arc PSR

Substitute

Arc QR = 360 - 126 - 186

Arc QR = 48°

The value of ARC QR is 48

Arc RS = arc PSR - arc PS

Arc RS = 186 - 90

Arc RS = 96°

The value of ARC RS is 96

Arc QPS = 126 + 90

Arc QPS = 216°

Arc PSR = arc PS + arc RS

Arc PSR = 90 + 96

Arc PSR = 186°

Arc SRQ = arc RS + arc QR

Arc SRQ = 96 + 48

Arc SRQ = 144°

Therefore the value of ARC QR is 48° and ARC RS is 96°

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Answer:

\(\cos(2\, x) = 1 - 2\, (\sin(x))^2\).

Step-by-step explanation:

Angle sum identity for cosine: \(\cos(a + b) = \cos(a) \, \cos(b) - \sin(a) \, \sin(b)\).

Pythagorean identity: \((\cos(a))^{2} + (\sin(a))^{2} = 1\) for all real \(a\).

Subtract \((\cos(x))^{2}\) from both sides of the Pythagorean identity to obtain: \((\sin(a))^{2} = 1 - (\cos(a))^{2}\).

Apply angle sum identity to rewrite \(\cos(2\, x)\).

\(\begin{aligned}&\cos(2\, x)\\ &= \cos(x + x) \\ &= \cos(x) \, \cos(x) - \sin(x)\, \sin(x) \\ &= (\cos(x))^{2} + (\sin(x))^{2}\end{aligned}\).

\((\sin(a))^{2} = 1 - (\cos(a))^{2}\) follows from the Pythagorean identity. Hence, it would be possible to replace the \((\cos(x))^{2}\) in the previous expression with \((1 - (\sin(x))^{2})\).

\(\begin{aligned}&(\cos(x))^{2} - (\sin(x))^{2}\\ &= \left[1 - (\sin(x))^{2}\right] - (\sin(x))^{2} \\ &= 1 - 2\, (\sin(x))^{2} \end{aligned}\).

Conclusion:

\(\begin{aligned}&\cos(2\, x) \\ &= (\cos(x))^{2} + (\sin(x))^{2} \\ &=1 - 2\, (\sin(x))^{2}\end{aligned}\)

Answer:

the y intercept is7

Step-by-step explanation:

at y-axis x=0, y=7

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

Can you provide a photo? Because I would love to help!

Step-by-step explanation:

Answer:

E is the subset of I

S is the subset of T

R ⊂ P

Step-by-step explanation:

Answer:

numbers above 0

Step-by-step explanation: