what is the value of X?

R=120 degrees

T=130 degrees

X=blank degrees

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan(26)=42/x hence x=42/tan(26)=86.113

Using operations with integers, it is found that the elevation at the end of the trail is of 8,414 feet.

We initially take the initial elevation, and then:

Thus, operations of sum and subtraction with integers are used to find the final elevation.

From the listed points on the problem, the operations are given as follows:

-174, 350, -180, +282.

The trail begins at an elevation of 8136 feet, hence the final point can be found as follows:

8136 - 174 + 350 - 180 + 282 = 8414 feet.

The elevation at the end of the trail is of 8,414 feet.

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Answer:

4/45 is your answer

Step-by-step explanation:

Answer:

4/45

Step-by-step explanation:

Dividing fractions are easiest when you use the reciprocal of the second fraction. A reciprocal is used when you flip a fraction. So, we are going to use the reciprocal of 5/4, which is 4/5. Our new (and easier to solve) equation is now 1/9*4/5.

1/9*4/5=4/45

Hope this helps...have a nice day o(*￣▽￣*)ブ

Answer

The solution set to this inequality equation is

x ≤ -5

Explanation

We are asked to find the solution set for

-4x + 10 ≥ 5 (x + 11)

-4x + 10 ≥ 5x + 55

-4x - 5x ≥ 55 - 10

-9x ≥ 45

Divide both sides by -9 (Note that dividing both sides of an inequality equation by -9 will reverse the inequality sign)

(-9x/-9) ≤ (45/-9)

x ≤ -5

Hope this Helps!!!

-4x +

Answer:

72

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

   = 3 * 24

    = 72

Answer:

A=25m

Step-by-step explanation:

Answer:

C.2

Step-by-step explanation:

Faktor perdana adalah faktor numbor² bagi sesuatu nombor yang juga merupakan nombor perdana.

Faktor nombor 28 adalah 1 ,2, 4 , 7 ,14 dan 28.

Dalam list nombor perdana ini hanya 2 dan 7 merupakan nombor perdana. Maka , jawapan soalan ini adalah 2.

Answer:

x - intercept: 4

y - intercept: 2

Step-by-step explanation:

The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.

The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.

Answer:

24 cm

Step-by-step explanation:

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.

By looking at the formula that the rule is the coefficient of x times z to the power plus 2

so we can write the following geometric sequence

-x⁷,-2x¹²,-4x¹⁷,-8x²²,-16x²⁷.-32x⁵²....

the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant is 32.5 square units.

To find the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant, we need to find the equation of the portion of the plane that lies in the first octant and then calculate the surface area of that portion.

First, we need to find the intercepts of the plane with the x, y, and z-axes. Setting x = 0, we get:

5y + z = 65

Setting y = 0, we get:

13x + z = 65

Setting z = 0, we get:

13x + 5y = 65

Solving these three equations simultaneously, we get:

x = 5, y = 13, z = 0

So the plane intersects the x-axis at (5,0,0), the y-axis at (0,13,0), and the z-axis at (0,0,65).

The part of the plane that lies in the first octant is bounded by the x-axis, the y-axis, and the line connecting (5,0,0) and (0,13,0). This triangular region has a base of length 5 and a height of 13, so its area is (1/2)513 = 32.5.

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Given the figure, we can deduce the following information:

1. Point A lies in the upper left side of the Cartesian Plane.

Based on the given figure, we must note that if the point lies in the upper left side of the Cartesian Plane or the x-coordinate is negative but the y-coordinate is positive, it should be in the Quadrant II.

Therefore, the answer is B. Quadrant II.

Answer:

1) 26mm

2) 2mm x (years of age) = 26

Step-by-step explanation:

The number of butterscotch bags is 2.75 and the number of chocolate bags is 5.25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you bought eight bags altogether chocolate chips cost three dollars and 50 Cent per bag and butterscotch chips cost $4.75 per bag and you spent $30.25 at the store how many bags of each time did you buy

The number of bags will be calculated as,

3.5C + 4.75B = 30.25

C + B = 8

Solve by elimination method,

3.5C + 4.75B = 30.25

3.5C + 3.5B = 28

________________

                 B = 2.75

The number of chocolate bags,

C + B = 8

C = 8 - 2.75

C = 5.25

Therefore, the number of butterscotch bags is 2.75 and the number of chocolate bags is 5.25.

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1. For Question 1, the probability of having 4 or more lines in use is approximately 0.44. 2. For Question 2, the probability of having 6 or fewer lines in use is approximately 0.06.


To calculate the probabilities, we need to know the distribution of the number of lines in use. Assuming that the number of lines in use follows a Poisson distribution with a parameter of λ, where λ is the average number of lines in use, we can calculate the probabilities.
For Question 1, we need to calculate the probability of 4 or more lines in use.
P(X ≥ 4) = 1 – P(X < 4)
To calculate P(X < 4), we can use the Poisson probability mass function (PMF) formula:
P(X = k) = (e^(-λ) * λ^k) / k!
Let’s assume that λ = 8, which represents the average number of lines in use. We can then calculate the probabilities:
P(X = 0) = (e^(-8) * 8^0) / 0! ≈ 0.000335
P(X = 1) = (e^(-8) * 8^1) / 1! ≈ 0.002679
P(X = 2) = (e^(-8) * 8^2) / 2! ≈ 0.010717
P(X = 3) = (e^(-8) * 8^3) / 3! ≈ 0.028579
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) ≈ 0.04231
P(X ≥ 4) = 1 – P(X < 4) ≈ 1 – 0.04231 ≈ 0.95769
Therefore, the correct answer is option 1: 0.44.

For Question 2, we need to calculate the probability of 6 or fewer lines in use.
P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)
Using the same λ = 8, we can calculate the probabilities:
P(X = 0) ≈ 0.000335
P(X = 1) ≈ 0.002679
P(X = 2) ≈ 0.010717
P(X = 3) ≈ 0.028579
P(X = 4) ≈ 0.057158
P(X = 5) ≈ 0.091453
P(X = 6) ≈ 0.121937
P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) ≈ 0.312878
Therefore, the correct answer is option 3: 0.06.

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No, the data does not provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage.

A hypothesis test should be performed to determine whether there is strong evidence that the average fuel efficiency of manual and automatic transmission vehicles differs in relation to average city mileage.

Let μm be the true population average urban mileage for manual transmission vehicles and μa be the true population average urban mileage for automatic transmission vehicles.

Tests whether the means of two populations are significantly different.

The null and alternative hypotheses can be set as follows.

Null Hypothesis (H0):

µm - µa = 0

Alternative hypothesis (Ha):

µm - µa ≠ 0

A two-sample t-test can be used to test this hypothesis. We can assume that the conditions for inference are met, including independence, normality, and equal variances between the two groups.

The test statistic can be computed as

\(t = (xm - xa) / (s^2p * (1/nm + 1/na))^0.5\)

where xm and xa are the sample means of urban kilometers for manual and automatic transmission vehicles, nm and na are the sample sizes of the two groups, \(sp^2\) is the pooled variance, and\(s^2p\)is the pooled standard deviation.

A significance level of α = 0.05 can be used for the test.

If the calculated t-value is greater than the critical t-value from the t-distribution with degrees of freedom (nm + na - 2) and significance level α/2 = 0.025, we reject the null hypothesis and conclude that can do.

There is a clear difference between the average fuel efficiency of manual and automatic vehicles in relation to average city mileage.

If the calculated t-value is less than the critical t-value, then the null hypothesis is not rejected and the conclusion is that there is insufficient evidence to support the difference between the two population means.

You can't run tests and draw conclusions without seeing the actual summary statistics.

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Answer:

1/2020

Step-by-step explanation:

We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:

x/x = 2020*x

The left-hand side reduces to 1:

1 = 2020*x

Now, you can divide both sides by 2020:

x = 1/2020

To check, we can divide 1/2020 by itself:

\(\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1\)

1 is indeed 2020 times 1/2020.

We have that

x=4.95*10^{-4}

From the question we are told

What is the only real number which, when divided by itself, is 2020

times itself

Generally the equation for the statement  is mathematically given as

\(\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}\)

Hence

the only real number which, when divided by itself, is 2020

times itself is

\(x=4.95*10^{-4}\)

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Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer: 3 I think !

Step-by-step explanation:

The simplified form of the given expression is x raise to the power of one-thirty.

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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vector representation of the given vectors will be AB(5,6,-3).

A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

The vector representation will be -

A(x1,x2,x3), B(x1,x2,x3) so, AB will be - (x2 - x1, y2 - y1, z2 - z1)

So, given,

A(−6,0,1)

B(1,6,−2)

AB(1+6, 6-0, -2-1)

AB (5,6,-3)

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Answer:

The distance is 17.20

Step-by-step explanation:

The solution is in the image

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation:

The value of c²(δt′)² - (δx′)² can be expressed in terms of γ, δx, δt, and c. It represents a mathematical expression involving the speed of light, time dilation (δt'), and length contraction (δx') in the context of special relativity.

In the context of special relativity, the equation c²(δt′)² - (δx′)² represents the spacetime interval between two events, where c is the speed of light. The variables δt' and δx' represent the differences in time and space measurements as observed from different reference frames. The term c²(δt′)² represents the time component of the interval, accounting for time dilation due to relative motion. The term (δx′)² represents the space component of the interval, accounting for length contraction due to relative motion.

To express the expression in terms of γ, δx, δt, and c, we can use the Lorentz factor γ, which is defined as γ = 1 / √(1 - (v²/c²)), where v is the relative velocity between the frames. By rearranging the equation, we can substitute γ, δt, and δx into the expression to obtain the desired form. The Lorentz factor γ relates to the dilation and contraction effects observed in special relativity and allows us to express the spacetime interval in terms of the given variables.

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Answer:

  y = -3x² +8x +4

Step-by-step explanation:

You want a quadratic function that includes the points (0,4), (2,8), (3,1).

The coefficients are easily found using the quadratic regression function of a graphing calculator. The one in the attachment tells us the quadratic is ...

  y = -3x² +8x +4

If you'd rather do this "by hand", you can presume a form for the function, then solve the resulting equations for the necessary coefficients.

We want the coefficients a, b, c for the equation ...

   y = ax² +bx +c

point (0, 4): 4 = a(0²) +b(0) +c   ⇒   c = 4

point (2, 8): 8 = a(2²) +b(2) +4   ⇒   2a +b = 2 . . . subtract 4, divide by 2

point (3, 1): 1 = a(3²) +b(3) +4   ⇒   3a +b = -1 . . . subtract 4, divide by 3

Subtracting the second equation from the third, we have ...

  (3a +b) -(2a +b) = (-1) -(2)

  a = -3 . . . . . . . simplify

Substituting for 'a' in the second equation gives ...

  2(-3) +b = 2

  b = 8 . . . . . . . . add 6

Now we have a=-3, b=8, c=4 and the quadratic is ...

  y = -3x² +8x +4

In the casino game of the given options the probability of being ahead is greater than 1/3 when n = 50 .

Let us calculate the probability using normal distribution for the following   options at the various sample .

at n= 250

Sample size , n =  250        

Probability of the event of winning each play p = 0.48        

Mean = np =   120        

standard deviation  = σ = √np(1-p) = 7.8994                

P(X >   125  ) = P(X >  125.5)

Z=(X - µ ) / σ =  (125.5-120)/7.8994)=   0.696

=P(Z >0.696 ) =     0.24

now let us calculate for n= 1000

Probability of the event of winning each play p = 0.48        

Mean = np =     480        

standard deviation = σ = √np(1-p) = 15.7987                    

P(X > 500 ) = P(X >    500.5)

Z=(X - µ ) / σ =   (500.5-480)/15.7987)=  1.298

=P(Z > 1.298  ) =  0.0972

now let us calculate for n=  50        

Probability of the event of winning each play p = 0.48        

Mean = np =  24        

standard deviation  = σ = √np(1-p) = 3.5327                  

P(X >  25  ) = P(X >  25.5)

Z=(X - µ ) / σ =   (25.5-24)/3.5327)=  0.425

=P(Z > 0.425    ) =   0.3356

Therefore the probability of being ahead is greater than 1/3 when n=50 .

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