If m ∠ A B F = ( 8 w − 6 ) ° and m ∠ A B E = [ 2 ( w + 11 ) ] ° , find m ∠ E B F .

The theoretical probability of stopping on the color blue when spinning a spinner with the colors red, yellow, blue, and green is 25% or 1/4.

A spinner is a tool that spins around an arrow or a pointer that points towards the numbers, colors, or pictures around its edge. The probability of a certain event is the likelihood of that event occurring. In this case, we need to find the theoretical probability of stopping on the color blue.

We have four colors on the spinner, so the probability of stopping on blue can be found using the formula of theoretical probability.

The formula for theoretical probability is:

number of favorable outcomes / total number of outcomes.

Since we have four colors on the spinner, the total number of outcomes is 4. The favorable outcomes are the number of times the spinner will land on blue, which is 1.

So the probability of stopping on the color blue can be calculated as follows:

1 (favorable outcome) / 4 (total number of outcomes) = 1/4

So, the theoretical probability of stopping on the color blue is 1/4. This is because there is an equal chance of landing on any of the four colors, and since there are four colors, each has a 25% chance of being selected.

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Step-by-step explanation:

(F+g) (-5)

={2x+x-30 +(x-5)}(-5)

={4x-35}(-5)

= -20x +175

X=175/20

X=35/4

X=8.75

...........

(f - g)(3)

={x2 + x - 30 - (x- 5)} (3)

= {2x - 25} (3)

=6x-75

X=75/6

X=12.5

..................

(f.g)(-3)

= {(x2 + x - 30). (x- 5)} (-3)

={(3x-30)(x-5)}(-3)

Answer:

1350

Step-by-step explanation:

Answer:

3.14 would be answer !

Step-by-step explanation:

Answer:

The value of the expression is 11

Step-by-step explanation:

Evaluate Expressions

An algebraic expression consists of a set of variables and constants related by algebraic operations like addition, subtraction, multiplication, etc.

To evaluate an algebraic expression, we replace the variables for the constant value they are assigned.

Let's consider the expression:

\(x-y+ z(x + y)\)

for x=10, y=-1, z=0

Substituting the variables for their values:

\(10-(-1)+ (0)(10 -1)\)

\(=10+1+ (0)(9)\)

\(=11+0=11\)

The value of the expression is 11

This would be known as a population study. A population study involves surveying or collecting data from every member of a specific group or population, in this case, all residents in Lexington.

This approach allows for a more comprehensive understanding of the prevalence of gun ownership within the community, as it includes data from all residents, rather than just a sample.

It also eliminates potential biases that can occur in sample studies, such as self-selection bias or non-response bias. However, it can also be more resource-intensive and time-consuming to collect data from the entire population.

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There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:

17 * 3.25 = $55.25

Now, we know he got 55.25 dollars but he spent 16.21, so we substract:

55.25 - 16.21 = $39.04

His profit selling that is of 39.04 dollars..

Answer:

1.090909......

Step-by-step explanation:

Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....

I hope this helps!

The person travels approximately 3162.8 km on the trip.

To solve this problem, we can use the formula:

Average speed = Total distance / Total time

Given:

Average speed = 72 km/h

Constant driving speed = 95 km/h

Rest stop time = 27.5 min

Let's assume the total time for the trip is T hours.

We can set up the following equation based on the given information:

72 km/h = Total distance / T

To find the total distance, we need to consider the driving time and the rest stop time.

Driving time = Total time - Rest stop time

Driving time = T - 27.5/60 hours (converting rest stop time to hours)

The distance traveled during driving time can be calculated as:

Distance = Driving speed × Driving time

Distance = 95 km/h × (T - 27.5/60) hours

Now, we can substitute the distance and average speed into the average speed formula:

72 km/h = (95 km/h × (T - 27.5/60) hours) / T

To solve this equation for T, we can cross-multiply and simplify:

72 km/h × T = 95 km/h × (T - 27.5/60) hours

72T = 95T - (95 × 27.5/60) hours

23T = (95 × 27.5/60) hours

T = (95 × 27.5/60) / 23 hours

T ≈ 33.6957 hours

So, the total time spent on the trip is approximately 33.6957 hours.

To calculate the total distance traveled, we can substitute the total time back into the distance formula:

Distance = 95 km/h × (T - 27.5/60) hours

Distance ≈ 95 km/h × (33.6957 - 27.5/60) hours

Distance ≈ 95 km/h × 33.2864 hours

Distance ≈ 3162.8 km

Therefore, the person travels approximately 3162.8 km on the trip.

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The linear function that can be used to find the amount in dollars Luis can spend on entertainment is given by:

f(x) = (x - 35)/6.

A linear function is modeled by:

y = mx + b

In which:

In this problem:

Hence, the function is given by:

f(x) = (x - 35)/6.

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Answer:

y = -3x + 800

Step-by-step explanation:

You start out with 800 eggs and go down 3 eggs with each customer

The function for the number of eggs left y after x customers is

y = 800 - 3x

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Number of eggs the diner starts in a week = 800

The number of eggs each customer gets = 3

Now,

The number of y eggs after x customers.

y = 800 - 3x

Thus,

The function is y = 800 - 3x.

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To determine if the water is unsafe based on the given data, we can conduct a hypothesis test using the sample mean and the provided information.

Null Hypothesis (H₀): The mean PCB concentration in the water is equal to or less than 5 ppm.

Alternative Hypothesis (H₁): The mean PCB concentration in the water is greater than 5 ppm.

We will use a one-sample t-test to assess the evidence.

Test statistic and p-value calculation:

The test statistic for a one-sample t-test is calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

Sample mean (x) = 5.2 ppm

Hypothesized mean (μ₀) = 5 ppm

Sample standard deviation (s) = 0.6 ppm

Sample size (n) = 36

t = (5.2 - 5) / (0.6 / sqrt(36))

  = 0.2 / (0.6 / 6)

  = 0.2 / 0.1

  = 2

To find the p-value associated with this test statistic, we need to consult the t-distribution table or use statistical software. Assuming a one-tailed test (since we're testing if the mean is greater than 5 ppm), the p-value is the probability of observing a t-value greater than or equal to 2.

With the calculated test statistic of t = 2 and the associated p-value, we can compare the p-value to a significance level (α) to make a decision. Common significance levels include 0.05 or 0.01.

Suppose we choose a significance level of α = 0.05. If the p-value is less than 0.05, we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis.

Since the p-value was not provided, please consult a t-distribution table or use statistical software to determine the exact p-value for t = 2. Once you have the p-value, compare it to the chosen significance level (e.g., α = 0.05) to draw a conclusion about whether the data substantiates that the water is unsafe.

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Step-by-step explanation:

what did your teacher do in class ? nothing ?

it is really not that complicated :

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

it tells us how many units y changes when x changes by a certain number of units.

e.g. a slope of 2 = 2/1 means that when we increase x by 1, y increases by 2.

a positive slope means that the line goes up (seen while going from left to right).

a negative slope means that the line goes down.

therefore, a slope of 0 means a flat, horizontal line.

while for a vertical line the slope is the result of a division by 0 and is therefore undefined (some like to symbolize this by infinity).

parallel simply means to have the same slope. parallel lines imitate each other's behavior and attributes perfectly except for the absolute physical location.

perpendicular (at a 90° angle) slopes now simply turn x and y in the ratio upside-down and flip the overall sign of the slope.

e.g. the perpendicular slope of 2 = 2/1 is -1/2.

oh, and the slope of a function or curve that is not a line ?

then we go point by point, as the function does not have one slope for everything. and the slope of the function at a particular point is the slope of the tangent line at that point.

all clear now ?

The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.

The critical value used to construct the confidence interval for proportion depends on:

1) The sample size:

The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.

2) The confidence level:

The critical value is always calculated by using the confidence level, so it is dependent on it.

The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.

Thus the correct option is:

Option C: The confidence level and sample size.

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The indefinite integral of x√(x-9) dx is \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

To find the indefinite integral of ∫x√(x-9) dx, we can use the substitution method.

Let u = x - 9, then du = dx.

Substituting these values into the integral, we have:

∫x√(x-9) dx = ∫(u + 9)√u du

Expanding the expression, we get:

∫(u√u + 9√u) du

Now we can integrate each term separately:

∫u√u du = ∫ \(u^{(3/2)}\) du = \((2/5)u^{(5/2)} + C1\)

∫9√u du = 9∫ \(u^{(1/2} du\) = \(9(2/3)u^{(3/2) }+ C2\)

Combining the results and substituting back u = x - 9, we have:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2)} + 9(2/3)(x-9)^{(3/2) }+ C\)

Simplifying further, we get:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2) }+ (6/3)(x-9)^{(3/2)} + C\)

                  = \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\)

Therefore, the indefinite integral of x√(x-9) dx is\((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

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6, 6.08, 10/3, 0.632, 0.01 and 0.332 are the equivalent side lenghts.

The formula for finding the side length of a square is expressed as:

A = L²

where L is the side length

If the area if 36

36 = L²

L = √36

L = 6 units

If the area if 37

37 = L²

L = √37

L = 6.08 units

If the area if 100/9

100/9 = L²

L = √100/9

L = 10/3 units

If the area if 2/5

2/5 = L²

L = √0.4

L = 0.632 units

If the area if 0.0001

0.0001 = L²

L = √0.0001

L = 0.01 units

If the area if 0.11

0.11 = L²

L = √0.11

L = 0.332 units

Hence the equivalent side lengths as arranged in the table are 6, 6.08, 10/3, 0.632, 0.01 and 0.332 units respectively.

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Answer: 5,250

Step-by-step explanation:

250x3=750

750x7

First, convert. Least common multiple of 3 and 7 is 21.

2x7=14 3x7=21.

4x3=12 7x3=21.

The new fractions are 14/21 and 12/21.

Which is bigger?

---

hope it helps

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

search it up on google

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...

Pi is also an irrational number which means it cannot be turned into a fraction and is an ongoing decimal. Pi is not an integer because it is a decimal integers are always positive or negative whole numbers.

Answer:

(5+10)u

= 15u

is the solution

Using trigonometry, the distance between the two vessels when the second boat enters the lighthouse's radius is 13.46 miles.

The relationships between angles and length ratios are investigated in the branch of mathematics known as trigonometry. The use of geometry in astronomical study led to the establishment of the field during the Hellenistic era in the third century BC.

The distance between the two boats when the second boat enters the radius of the lighthouse light is 13.46 miles using trigonometry.

A triangle is a polygon with three edges and three vertices. It belongs to the basic geometric shapes. A triangle with the vertices A, B, and C is represented by the Δ ABC.

Any three points that are not collinear create a singular triangle and a singular plane in Euclidean geometry. (i.e. a two-dimensional Euclidean space). In other words, every triangle is a part of a plane, and that triangle is a part of only one plane. In the Euclidean plane, all triangles are contained within a single plane, but in higher-dimensional Euclidean spaces, this is no longer the case. This page covers triangles in Euclidean geometry, especially the Euclidean plane, unless otherwise specified.

In this question,

The side of the isosceles triangle is given by,

l=2a sin(θ/2)

where a= 18 miles

θ= 44°

l= 2*18*sin 22°

= 36*0.374

= 13.46 miles

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Answer:

-7

Step-by-step explanation:

2x +3 =x-4

2x - x =-4 - 7

x=-7

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Answer:

50 inches

Step-by-step explanation:

Using the Pythagorean theorem, we can find the length of the diagonal of the TV:

diagonal^2 = height^2 + width^2

diagonal^2 = 30^2 + 40^2

diagonal^2 = 900 + 1600

diagonal^2 = 2500

Taking the square root of both sides, we get:

diagonal = sqrt(2500)

diagonal = 50

Therefore, the length of the diagonal of the TV is 50 inches.

Answer:

3x+1

Step-by-step explanation: