What is the measure of angle B in this triangle?

Enter your answer in the box.
m∠B=

Answer:

1/3

Step-by-step explanation:

rise/run is rate of change

The equation of the transformed function is g(x) = (x - 3)⁴ - 1

From the question, we have the following function that can be used in our computation:

f(x) = x⁴

Transformation = translated 3 units to the right and 1 unit down

Mathematically, this can be represented as

g(x) = f(x - 3) - 1

Substitute the known values in the above equation, so, we have the following representation

g(x) = (x - 3)⁴ - 1

Hence, the transformed function is g(x) = (x - 3)⁴ - 1

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Let's say you run a test, and your p-value comes out to be equal to 0.93. Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01 according to this conclusion.

The significance level is the likelihood that the researcher will conclude that the null hypothesis is false even though it is true. The validity and correctness of the data set are increased when the lower values of the significance level are used during the hypothesis testing.

The null hypothesis is disregarded if the p-value is less than the significance level.

Information Given: p=0.93

The test findings would be insignificant because the p-value is higher than the thresholds of 0.01, 0.05, and 0.10. This leads to the conclusion that at 0.01 and 0.05 and 0.10, the null hypothesis cannot be ruled out.

Therefore, option (b)—Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01—is the appropriate response.

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A data analyst uses bias()  to find out how much the predicted outcome and the actual outcome of their data model differ.

The act of unfairly favoring or opposing a certain person or item due to allowing your judgment to be influenced by your opinions: The senator charged bias on the part of the media. Journalists must be unbiased and free from political bias.

There is a lack of objectivity in the way we view things. Both intentional and inadvertent biases are possible. When given an option, a person might prefer one shirt over two others if it also happens to be their favorite color.

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The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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The Sum of the first six terms of the progression is 14706

What is Geometric Progression?

A geometric progression, also known as a geometric sequence, is a non-zero numerical series in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.

Solution:

On carefully observing

We can state that, the Common Ratio is -7

Sum(n) = a([tex]r^{n}[/tex] - 1) / r - 1

Sum(6) = -1 (-7^6 - 1) / -7-1

Sum(6) = -1(117648)/-8

Sum(6) = 14706

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No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.

In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.

A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.

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There is a non zero probability of the particle in the state of finite potential .

It is an extension of the infinite potential well, in which a particle is confined to a "box", but one which has finite potential "walls". Unlike the infinite potential well, there is a probability associated with the particle being found outside the box. The quantum mechanical interpretation is unlike the classical interpretation, where if the total energy of the particle is less than the potential energy barrier of the walls it cannot be found outside the box. In the quantum interpretation, there is a non-zero probability of the particle being outside the box even when the energy of the particle is less than the potential energy barrier of the walls (cf quantum tunnelling).

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The correct answer is : c) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.

Mean of random Variable x :

The expected value of a discrete random variable X, symbolized as E(X), is often called the long-term average or mean (symbolized as μ). This means that if you run the experiment many times over time, you would expect this average. For example, let X = the number of heads you get when you toss 3 fair coins. If we repeat this experiment (tossing 3 fair coins) many times, the expected value of X will be the expected average number of heads per 3 tosses.

Standard Deviation of Random Variable:

A measure of the variance of a random variable distribution that determines how for a value is from its expected value.

The standard deviation of a random variable X is often written as σ or σₓ.

For discrete random variables, the standard deviation is computed by taking the square of the difference between the value of the random variable and the expected value multiplied by the associated probability of the value of the random variable. Calculate the value of a random variable and finally take the square root.

In symbols σ = √ (x - μ)² P(X =x)

The equivalent formula is σ = [tex]\sqrt{E(x^{2}) - [{E(x^2)]}[/tex]

The square of the standard deviation equals the variance Var(X) = σ².

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The true statement about exponential smoothing forecasting model is option (d) The exponential smoothing technique is most useful when short-term forecasts are needed.

Exponent:

In math, exponent tells a number says how many times to use that number in a multiplication.

Given,

Here we need to find the statements about exponential smoothing forecasting model is true.

In order to find the true statement we have to know the definition of exponential smoothing forecasting model.

Exponential smoothing forecasting model also known as ETS model is a family of forecasting models.

And it is used as weighted averages of past observations to forecast new values.

And the idea is to give more importance to recent values in the series. Therefore, as observations get older in time, the importance of these values get exponentially smaller.

Based on these explanation we have identified that option (d) is correct.

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a) The mean number of website searches differs between the day and evening advertisements based on this hypothesis:

[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0

[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0

The null hypothesis in the question states that the mean number of website searches does not differ between the day and evening advertisements and the alternative hypothesis states that the mean number of website searches differs between the day and evening advertisements. It can be written as:

[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0

[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0

b-1) From the below excel output screenshot the t-test statistical value is I -0.3476.

b-2) From the below excel output the critical t value comes as 2.0017. So, the rejection region includes all the values greater than 2.0017 and less than -2.0017.

c) The calculated t-statistic value is not falling in the rejection region. So we do not reject the null hypothesis.

Do not reject [tex]H_{0}[/tex]. At the 5% significance level, we conclude the mean number of website searches not differ between the day and evening advertisements.

(The below excel screenshot shows the customized formula and the output which is required to find the values required to test the hypothesis.)

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Angle DCE = 91°

Hope it helps

Answer:

see explanation

Step-by-step explanation:

for the pattern given, we have

position (n) → number of dots

1 → 3

2 → 5

3 → 7

4 → 9

5 → 11

there is a difference of 2 between consecutive dots in the pattern , then

rule is of the form

2n ± ?

the ? is what is required to be added / subtracted to 2n for number of dots

2 × 1 = 2 (+ 1 = 3)

2 × 2 = 4 ( + 1 = 5)

2 × 3 = 6 (+ 1 = 7)

2 × 4 = 8( + 1 = 9)

2 × 5 = 10 (+ 1 = 11)

then 1 requires to be added to 2n to obtain number of dots , so

rule is 2n + 1

position (n) → number of dots

1 → 1 = 1²

2 → 4 = 2²

3 → 9 = 3²

4 → 16 = 4²

5 → 25 = 5²

the number of dots is the square of the position, so

rule is n²

Answer Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y4"   was replaced by   "y^4".  2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 0-(((4•(x3))•(y2))•7xy4)

STEP

2

:

Equation at the end of step

2

:

 0 -  ((22x3 • y2) • 7xy4)

STEP

3

:

Final result :

 ( -22•7x4y6)

The probability that the first is red and the second is white is 4/21 or 0.190476.

The total number of marbles in the jar is 4 red, 7 white and 10 blue. This means there is a total of 21 marbles.

The probability of selecting a red marble first is 4/21 (4 out of 21 marbles are red).

The probability of selecting a white marble second is 7/20 (7 out of the remaining 20 marbles are white).

The probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476

The probability of selecting two marbles at random from the jar is calculated by multiplying the individual probabilities of selecting each marble. The probability of selecting the first marble is 4/21 (4 out of 21 marbles are red) and the probability of selecting the second marble is 7/20 (7 out of the remaining 20 marbles are white). Thus, the probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476.

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The point 4 units along the curve (in the direction of increasing t) from P exists as t = ln |L/2 + 1|.

When a particle's position in space is represented as a function of time by a vector-valued function, the arc-length function calculates the particle's travel distance as a function of time.

The length of an arc is the separation of two locations along a segment of a curve. Curve rectification is the process of measuring an irregular arc segment's length by simulating the section as a network of connected line segments. A rectifiable curve can be broken down into a finite number of segments.

(a) Let the given function be r(t) = [tex]e^t[/tex] sin t i + √2 [tex]e^t[/tex] k

To find the arc length of the function, we have:

[tex]& \mathrm{r}^{\prime}(\mathrm{t})=\mathrm{e}^t \\[/tex]

[tex]& \mathrm{r}^{\prime}(t)=(\cos t+\sin t) e^t+(\cos t-\sin t) e^t+\sqrt{2} e^t \\[/tex]

[tex]& \left|r^{\prime}(t)\right|=\sqrt{\left[(\cos t+\sin t) e^t\right]^2+\left[(\cos t-\sin t) e^t\right]^2+\left(\sqrt{2} e^t\right)^2}[/tex]

simplifying the above equation, we get

[tex]& =\sqrt{\left(4 e^{(2 t)}\right)} \\[/tex]

[tex]& =2 \mathrm{e}^t[/tex]

(b) We have the arc length function, L to be the integral from 0 to t, so:

[tex]$& L=\int_0^t 2 e^v \\[/tex]

simplifying the above equation, we get

[tex]& L=2 e^t-2 e^0 \\[/tex]

[tex]& =2 e^t-2 \\[/tex]

[tex]& L=2\left(e^t-1\right) \\[/tex]

simplifying the above equation, we get

[tex]$& L / 2=e^t-1 \\[/tex]

[tex]& L / 2+1=e^t[/tex]

[tex]e^t[/tex] = L / 2+1

t = ln |L/2 + 1|

The complete question is:

A. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.

b. Find the point 4 units along the curve (in the direction of increasing t) from P.

r(t) = et sin t i + √2 et k, P(0, l ,√2)

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Answer: 6 hours

Step-by-step explanation:

The question asks how long until they meet.

First, you add 1.5 miles per hour and 2 miles per hour to get 3.5 miles per hour.

Then you divide 21/by 3.5 which gets you how many hours it takes for them to meet.

Which means 21/3.5 is 6 hours.

The temperature at 6 pm is given as follows:

-40.2 ºF.

To obtain the temperature at 6 pm, we keep looking at the temperature for each interval given in the problem.

At 9 am, the temperature is given as follows:

-10.2ºF.

Between 9am and noon, the temperature rose 1.9°F, hence the temperature at noon is given as follows:

-10.2 + 1.9 = -8.3ºF.

Between noon and 3pm, the temperature dropped 16.4°F, hence the temperature at 3 pm is given as follows:

-8.3 - 16.4 = -24.7ºF.

Between 3pm and 6pm, the temperature dropped 15.5°F, hence the temperature at 6 pm is given as follows:

-24.7 - 15.5 = -40.2 ºF.

(subtracting the decline from the previous temperature, as we did for previous intervals).

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16% of a number is 73.6 by multiplying it by 5%, which is 23, and 1%, which equals 4.6.

Given that,

We have to calculate 16% of a number by multiplying it by 5%, which is 23, and 1%, which equals 4.6.

We know that,

Let the number be x

5% of a number = 5/100x

Now we are given that 5 percent of a number is 23

So,

5/100x=23

x=23×100/5

x=460

So, the number is 460

Now we are supposed to find the 16% of the number

=16/100×460

=73.6

Therefore, 16% of a number is 73.6 by multiplying it by 5%, which is 23, and 1%, which equals 4.6.

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This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.

What is restaurant?

A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.

Given:

Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.

Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.

Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.

The cost incurred by Rachael's restaurant as fixed, variable or mixed are,

a. Advertisement c cost relative to number of customers      Fixed

b. Rental cost relative to number of restaurant                    Variable

c. Cooks salaries relative to number of customer             Fixed

d. Cost of Supplies (cups, plates, spoons, etc.) relative

to number of customer                                                     Variable

e. Manager's compensation relative to number of customer Mixed

f. Servers' salaries relative to number of Restaurants        Variable

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Complete question:

Complete question is attached below.

Answer:

x = 8/3

y = 10/3

Step-by-step explanation:

We add (1) and (2) to get 3x = 8. This means that x = 8/3. We substitute it back into (1) to get 8/3 + y = 6 which shows that y = 10/3

Answer:

To find the equation of the altitude from point A to side BC, we can use the formula for the equation of a line in point-slope form, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

We can find the slope of the line by using the formula for the slope of a line between two points:

m = (y2 - y1)/(x2 - x1)

We can use this formula to find the slope of line BC, which is the line connecting points B and C. Substituting the coordinates of these points into the formula gives us:

m = (2 - (-2))/(2 - 6) = 4/-4 = -1

Next, we can use the point-slope form of the equation of a line to find the equation of the altitude from point A to line BC. Substituting the coordinates of point A and the slope of line BC into the point-slope formula gives us:

y - 1 = -1(x + 2)

This is the equation of the altitude from point A to line BC.

Step-by-step explanation:

SELF EXPLANATORY

If n is an integer and n3 is divisible by 24, The largest number that must be a factor of n is 8.

N3 is a number that is divisible by 24, meaning it can be expressed as 24k, where k is an integer.

This can further be expressed as 8(3k), meaning that 8 is the largest number that is a factor of 24, and therefore must also be a factor of n3. Consequently, the largest number that must be a factor of n3 is 8.

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Step-by-step explanation:

the surface area is the combination of

the base (square) area

the 4 side (triangle) areas.

the base area is : 10×10 = 100 in²

the area of a triangle is

baseline × height / 2

we know the baseline of each of the 4 triangles (10 in) and we know the height (14 in).

one triangle area is

10×14/2 = 70 in²

we have 4 of these triangles (each side of the pyramid) :

4×70 = 280 in²

the total surface area of the pyramid is

100 + 280 = 380 in²

The decimal number 24.7 represents the average mileage of the vehicle.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

A famous magazine tests vehicles and trucks for mileage out and about and around the city. the magazine reports that half of the vehicles tried had mileages beneath 24.7 mpg out and about, and the other half of the vehicles tried had mileages above 24.7 mpg.

The decimal number 24.7 means the vehicle can cover 24.7 miles with each gallon of gas.

The decimal number 24.7 represents the average mileage of the vehicle.

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The percentage of respondents who said the magazine is useful is referred to as the population parameter of interest.

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By solving a linear equation we will see that the value of x is 10.

Remember that for any triangle, the sum of all internal angles is always equal to 180°.

Here only look at triangle BCD, we know that:

m∠DBC = m∠ABC = 3x

m∠BCD = m∠ACB + m∠ABD = 2x + 65°

m∠ADC = 65°

Now we can write the linear equation as:

3x + 2x + 65° + 65° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5 = 10°

The value of x is 10.

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The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930

In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,

And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.

While we looking into the given question, we have identified the value of

Strictness level = 50

Available hospital = 55

New cases per day = 100,000

Then the expected number is calculated by using the multiple regression model is written as,

=> 50x + 55y ≤ 100,000

When we solve it graphically, then we get, the graph like the following,

As per the given graph, the expected number is 930.

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