Find X then find angle BD

There are 8 different trips that can be made from City X to City Z, passing through City Y.

To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.

First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.

By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:

Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z

= 2 x 4

= 8

This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.

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Complete question is:

Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?

The measure of x is 14, by using the definition of secants.

A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.

Given that, two secants are intersecting inside the circle making two arcs measuring 55° and 75° and an angle measuring 3x+23

We know that,

If two secants intersect inside a circle, then the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.

Therefore,

3x+23 = 1/2[55° + 75°]

3x+23 = 1/2 × 130

3x+23 = 65

3x = 42

x = 14

Hence, the measure of x is 14, by using the definition of secants.

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To get by what percent the second number (10) is greater than the first number (5), we can use the following formula:

percent increase = ((new value - old value) / old value) x 100%

So, for the pair of numbers 5 and 10:

percent increase = ((10 - 5) / 5) x 100% = 100%

This means that 10 is 100% greater than 5.

To determine by what percent the first number (5) is less than the second number (10), we can use the following formula:

percent decrease = ((old value - new value) / old value) x 100%

So, for the pair of numbers 5 and 10:

percent decrease = ((10 - 5) / 10) x 100% = 50%

This means that 5 is 50% less than 10.

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Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

The angle between a vector and the positive direction of the x-axis can be found using the inverse tangent function, also known as arctan. The formula for finding the angle θ between a vector (x, y) and the positive x-axis is given by:

θ = arctan(y/x)

In this case, the vector is i + √5j, so x = 1 and y = √5. Plugging these values into the formula, we get:

θ = arctan(√5/1) = arctan(√5)

The arctan function returns the angle in radians, so we'll need to convert it to degrees. To do this, we multiply by 180/π:

θ = arctan(√5) * (180/π) = 63.43 degrees (rounded to two decimal places)

So, Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

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Since Hank is allergic to chocolate, he cannot eat Reese's, Snickers, Hershey's bars, or any other type of chocolate candy.

Therefore, the only candy that Hank can eat is the Sour Patch Kids and Skittles.

The total number of Sour Patch Kids that Hank has is 5.

The total number of Skittles that Hank has is 6 packs, or 6 * the number of Skittles in one pack (let's assume it's 10 Skittles per pack). So, the total number of Skittles that Hank has is 6 * 10 = 60.

Adding the number of Sour Patch Kids and Skittles, the total number of candy that Hank can eat is 5 + 60 = 65.

The total amount of candy that Hank has is 8 Reece's + 12 Snickers + 5 Sour Patch Kids + 4 Hershey's bars + 6 packs of Skittles = 8 + 12 + 5 + 4 + 6 * 10 = 8 + 12 + 5 + 4 + 60 = 89.

The ratio of candy that Hank can eat to the total amount of candy he has is 65 / 89 = approximately 0.73, which can be expressed as a simplified fraction as 73 / 100.

Answer:

11:35

Step-by-step explanation:

no step by step explanation.

Answer: Maybe first give an equation

Step-by-step explanation:

The standard deviation of the data set is  0.7.

First, calculate the mean of the data set:

(mean) = (2+1+1+2+2+3)/6 = 11/6 ≈ 1.8

Next, calculate the deviation of each data point from the mean:

2 - 1.8 = 0.2

1 - 1.8 = -0.8

1 - 1.8 = -0.8

2 - 1.8 = 0.2

2 - 1.8 = 0.2

3 - 1.8 = 1.2

Now square each deviation:

0.2² = 0.04

(-0.8)² = 0.64

(-0.8)² = 0.64

0.2² = 0.04

0.2² = 0.04

1.2² = 1.44

The sum of the squared deviations is:

0.04 + 0.64 + 0.64 + 0.04 + 0.04 + 1.44 = 2.84

To find the variance, we divide by the number of data points:

variance = 2.84/6 ≈ 0.4733

Finally, take the square root of the variance to get the standard deviation:

standard deviation = √(0.4733) ≈ 0.69

Therefore, the standard deviation of the data set {2,1,1,2,2,3} is approximately 0.7 (rounded to the nearest tenth).

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Answer: Answer: c.)four hundred thirty-three and one-eighth ft2

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A = b x h, where b is the base and h is the height. Inserting the given values, we have

A = 22.5 ft x 19.25 ft = 433.125 ft2

Therefore, the area of the parallelogram is four hundred thirty-three and one-eighth ft2.

The area of the parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet is four hundred thirty-three and one-eighth ft²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

Now, We know that;

Area of a parallelogram = Base × Height

Substitute the given values, we get;

⇒ Area of a parallelogram = Base × Height

⇒ Area of a parallelogram = 22 1/2 × 19 1/4

⇒ Area of a parallelogram = 45/2 × 77/4

⇒ Area of a parallelogram = 3465/8

⇒ Area of a parallelogram = 433 1/8 ft²

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The equation representing the scenario is 1.5x + 8 = 20 and the possible number of rides is 8.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The cost of entering the fair is $8 and the cost of each ride is $1.50.

Let, The number of rides be 'x'.

Therefore, The equation can be formed as, 1.5x + 8 = 20.

Now, To obtain the number of rides,

1.5x + 8 = 20.

1.5x = 12.

x = 12/1.5.

x = 8.

So, 8 rides are possible.

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Range, because it measures the distinction between the highest and lowest values in a dataset, providing a clear estimate of variability for both sets of data. It is unaffected by skewness or symmetry, making it a useful measure of variability for comparing the temperature consistency of Desert Landing and Flower Town.

A histogram is a rough illustration of how numerical values are distributed. Karl Pearson coined the phrase at the beginning.

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Therefore, the correct answer is both option c) and d) Range, because Flower Town is skewed and symmetric.

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42 adult tickets and 421 children tickets were purchased for the field trip, based on the given information that the total cost of the tickets was $995 and the children tickets cost $11 while the adult tickets cost $13, and the number of children tickets purchased was one more than ten times the number of adults tickets purchased.

Let's use variables to represent the unknown quantities in the problem:

Let x be the number of adult tickets purchased

Then the number of children tickets purchased is 10x + 1 (since it is one more than ten times the number of adults tickets purchased)

Using these variables, we can set up an equation based on the total cost of the tickets:

13x + 11(10x + 1) = 995

Simplifying and solving for x, we get:

23x + 11 = 995

23x = 984

x = 42.7826087 (rounded to 9 decimal places)

Since we can't purchase a fraction of a ticket, we'll round x down to the nearest whole number, which means 42 adult tickets were purchased. Then the number of children tickets purchased is:

10x + 1 = 10(42) + 1 = 421

So, 42 adult tickets and 421 children tickets were purchased.

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0.3 as a fraction would be 3/10

33.3 would be 333/10

To check it so 3 ÷ 10 and 333 ÷ 10

It will give you the decimal again.

You're welcome.

Answer: the answer is 33.3 is 33 3/10  and 0.3 is 3/10

Step-by-step explanation:

you welcome (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

(1) The hypothesis is stated that completing a 2-week mindfulness training course

(2) The type of study design this is randomized controlled trial.

(3) The choice of the study type is randomized controlled trial is justified. (4) The list of the two variables with their operational definitions is 2-week mindfulness training course and GRE scores.

(5) Yes, this study demonstrate that the relationship between the two variables is causal

In a study conducted by Mrazek et al. (2013), it was found that students who completed a 2-week mindfulness training course scored higher on the GRE than those who did not participate in the training.

The hypothesis of this study is that completing a 2-week mindfulness training course will result in higher scores on the GRE compared to those who do not complete the training.

This study design is a randomized controlled trial. In this type of study, participants are randomly assigned to either a treatment or control group, and the effects of the treatment are compared to the effects of no treatment (or a placebo). In this case, the treatment group received the 2-week mindfulness training course, while the control group did not.

The choice of study type as a randomized controlled trial is justified because it allows for the comparison of two groups while minimizing the effects of confounding variables. Random assignment to groups helps to ensure that any differences in outcomes between the groups are due to the treatment and not some other factor.

The two variables in this study are the completion of the 2-week mindfulness training course and GRE scores. The operational definition of completion of the training course is that participants in the treatment group attended all sessions of the 2-week course. The operational definition of GRE scores is the score that participants received on the exam.

This study does suggest a causal relationship between completion of the mindfulness training course and higher GRE scores. The randomized controlled trial design helps to reduce the effects of confounding variables, making it more likely that any observed differences in outcomes between the treatment and control groups are due to the treatment.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Let's call the number of purple counters "x". This means that the number of blue counters is x - 78, and the number of white counters is 18x.

According to the ratio, the sum of the number of purple and blue counters is 16x + (x - 78) = 17x - 78.

And the sum of all counters is 16x + 18x + 3x = 37x.

Knowing that the sum of all counters is the same, we can set the two sums equal to each other:

37x = 17x - 78 + 37x

So, we have:

74x = 17x - 78 + 37x

57x = -78

x = -78/57

Since x can't be negative, we have to reject this solution.

However, the number of white counters can be found by multiplying 18 by the number of purple counters:

18 * x = 18 * (x/57) = (18/57) * x = (18/57) * 78 = 72

Therefore, there are 72 white counters in the bag.

The cost of each pizza is $14 and the cost of each cool drink is $3.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, John told Serena that when he ordered from Tony's last week, he paid $34 for two 16-inch pizzas and two drinks.

Let the cost of each pizza be x and the cost of each cool drink be y.

Now, 2x+2y=34

x+y=17 -------(i)

Jodi told Serena that when she ordered one 16-inch pizza and three drinks, it cost $23.

x+3y=23 -------(ii)

Subtract equation (i) from (ii), we get

x+3y-(x+y)=23-17

2y=6

y=3

Substitute y=3 in equation (i), we get

x=14

Therefore, the cost of each pizza is $14 and the cost of each cool drink is $3.

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The plane ticket to Barcelona is now £164.50. This is because 6% of £175 is £10.50 and if you subtract £10.50 from £175, it equals £164.50.

Option B. Bob continues his research because even though there is no linear relationship here, there could be a different relationship.

A correlation coefficient of 0.05 indicates a very weak linear relationship between the number of bedrooms in a home and its selling price. In other words, the number of bedrooms in a home does not seem to be a strong predictor of its selling price based on the data that Bob has analyzed. However, this does not mean that there is no relationship at all between these two variables. There could be a different type of relationship, such as a non-linear relationship, that is not captured by the linear correlation coefficient. It's possible that Bob will need to use other techniques, such as regression analysis, to better understand the relationship between the number of bedrooms in a home and its selling price.

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Answer: pay attention

Step-by-step explanation:

Answer:

CF = 7.2 cm

Step-by-step explanation:

given 2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

BF ×FC = DF × EF

10x = 8 × 9 = 72 ( divide both sides by 10 )

x = CF = 7.2 cm

Answer:15/25

Step-by-step explanation:

A. passenger train 36mph

B. freight train 18mph

What is meant by speed?

Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.

Given that, A freight train departs from a train depot and let us consider it is travelling at an 'x' mph

and An hour later a passenger train departs the same train depot with a speed 'of x+18 mph.

After 2 hours the passenger train overtakes the freight train.

The total distance travelled by both trains when the passenger train overtakes the freight is equal.

Distance travelled by freight train = x*3

Distance travelled by passenger train = (x+18)*2

Now, 3x = 2x + 36

x = 18

and x + 18 = 36

Therefore, The speed of the passenger train and freight train are 36mph, and 18mph respectively

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Answer: Neither

3, 5, 9,17

+ 2 +2

They are not the same #'s.  For example, if you add 5 and 2 together you get  7. 9 does not equal 7. Not arithmetic,  or geometric sequence.

The difference between 2019 and 1921 is given by $30,000,000

Difference refers to the subtraction of two or more values.

1921 loss:

Real estate= $1,500,000

Personal property = $750,000

Total loss = $1,500,000 + $750,000

= $2,250,000

2019:

$32, 250,000

The difference between 2019 and 1921

= $32, 250,000 - $2,250,000

= $30,000,000

Therefore, there is a difference of $30,000,000

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The probability of Nishtha using Rs 5 coin is  [tex]\frac{1}{4}[/tex] , if she needs to pay for a pencil Rs 4.

P(E) = number of favorable outcomes / total number of outcomes

Denominations of coins = ₹1, ₹2, ₹5 and ₹10 each

Total number of coins = 4

Coins that can pay the amount = ₹5 and ₹10

Number of Favorable Outcomes = 2

For the probability of using two coins :-

P(E) = [tex]\frac{2}{4} = \frac{1}{2}[/tex]

we have to find the probability of using ₹5 coin. And here the probability of using of ₹5 coin and ₹10 coin are equal likely. So using of ₹5 coin is 50% of the probability of using both coin

P(rs5) = [tex]50\% \times \frac{1}{2}[/tex]

         = [tex]\frac{1}{4}[/tex]

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The elevator is on the 14th floor at this situation.

What is the basic arithmetic operation?

Arithmetic operations are mathematical operations that involve basic calculations such as addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers and are used in a wide range of mathematical and real-life situations.

If the elevator is on the 18th floor, and it moves down 16 floors, it will be on the 2nd floor.

After that, the elevator comes up 12 floors from the 2nd floor. So, it will be on the floor:

2 + 12 = 14

Therefore, the elevator is on the 14th floor at this situation.

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a) Yes, it is possible to estimate the uncertainty in this measurement. the measurement of 150 lb has an uncertainty of +/- 0.5 lb.

b) It is not possible to estimate the bias in this measurement without further information.

a) Uncertainty represents the range of possible values that a measurement can have due to the limitations of the measuring instrument or the process of measurement. In this case, the uncertainty can be estimated by considering the precision of the bathroom scale.

If the scale is precise to the nearest pound, then the uncertainty can be estimated to be half of the smallest graduation of the scale, which is 0.5 lb.

b)Bias represents a systematic error in a measurement, which can arise due to various factors such as the design of the measuring instrument or the process of measurement.

In this case, we do not have any information about the design of the bathroom scale or the conditions under which the measurement was taken. Therefore, we cannot estimate the bias in this measurement.

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The conclusion is that there is sufficient evidence at the 0.01 level to support the mayor's claim that under 51% of the residents favor construction of the bridge.

The mayor rejects the null hypothesis at the 0.01 level, which means that the results from the hypothesis test show that the actual proportion of residents who favor construction is less than 51%. The alternative hypothesis would be that the true proportion is less than 51%. After gathering information from 380 voters, the results of the hypothesis test were used to make a decision on whether to reject or fail to reject the null hypothesis.

If the hypothesis test showed that the null hypothesis could be rejected at the 0.01 level, it means that there was sufficient evidence to support the mayor's claim that less than 51% of the residents favor the bridge construction. However, it's important to note that hypothesis testing is not a perfect method and other factors such as sample size and sampling method should also be considered when interpreting the results.

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The probability that the sample average amount of time taken on each day is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11) =  0.8682

P([tex]\bar{X_2}[/tex] < 11) =  0.8897

We know that the formula for the z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form

[tex]\mu_x[/tex] = 10

[tex]\sigma_x[/tex] = 2

Here, five individuals fill out a form on one day and six on another.

This means that the population is the same on both days, but the samples of different sizes.

On Day 1 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{5}[/tex])

We find the probability using z-score.

The probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11)

=[tex]P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})[/tex]

= P(z < 1.118)

= 0.8682

Similarly, on Day 2 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{6}[/tex])

So the probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_2}[/tex] < 11)

=[tex]P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})[/tex]

= 0.8897

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The complete question is:

The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

a. The oldest grandchild got the most ice cream.

b. The remaining ice cream will be represented by a fraction of 59/100 of the original amount.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

a. The oldest grandchild got the most ice cream.

b. Let's first calculate the fraction of the ice cream that was left after serving the youngest and middle grandchild.

The youngest grandchild received 1/5 of the ice cream, which means 4/5 was left.

Then the middle grandchild got 1/4 of the remaining 4/5, which is 1/5. So 4/5 - 1/5 = 3/5 of the ice cream is left.

Now, if Grandpa Mick serves himself the same amount as the second grandchild (1/4 of the original amount), he will be taking 1/4 of 1/5 of the original amount, which is 1/20.

So the remaining ice cream will be 3/5 - 1/20 = 59/100 of the original amount.

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The question seems incomplete, the missing part would be as:

Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grandchild 1/4 of the remaining ice cream. Then, he gave his oldest grandchild 1/3 of the ice cream that was left after serving the other. a. Who got the most ice cream?  b. What fraction of the pint of ice cream will be left if Grandpa Mick serves himself the same amount as the second grandchild?