An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data. how amny teams completed the escape room this week

Bearing is measured from reference line clockwise or counter-clockwise - FALSE.

A bearing is an angle that is calculated clockwise from the north.

The vertical angle between an object's direction and either north or another object is known as a bearing or azimuth in navigation. You can specify the angle value in a number of different angular units, including degrees, mils, and grad.

Angles are measured in comportments clockwise from north.

The direction of north must be identified before taking a bearing measurement.

The math exam question will typically include this north direction. The required angle is then measured in a clockwise fashion. Since all bearings must be reported in three figures, we must begin the three-figure bearing with zero if the angle measured is less than 100 degrees.

Learn more about Bearings:

https://brainly.com/question/27913321

#SPJ4

The number of ways the foreign language club can choose 4 movies from the available is [tex]nC4 = n! / 4!(n-4)![/tex].

To calculate the number of ways the foreign language club can choose four movies from the available subtitled movies, we need to use the combination formula, which is:

[tex]nCr = n! / r!(n-r)![/tex]

Where n is the total number of available subtitled movies and r is the number of movies to choose (in this case, r=4).

Assuming there are at least four subtitled movies available, the number of ways to choose four movies would be:

[tex]nC4 = n! / 4!(n-4)![/tex]

Simplifying the equation further, we have:

[tex]nC4 = (n * (n-1) * (n-2) * (n-3)) / 4 * 3 * 2 *1[/tex]

Therefore, the number of ways the foreign language club can choose four movies from the available subtitled movies is given by the formula nC4.

The formula calculates the number of possible combinations of four movies that can be selected from the total number of available subtitled movies, without regard to the order in which they are shown.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ4

The answer is c. Statistic because the value is a numerical measurement describing a characteristic of a sample.

A statistic is a value that summarizes a characteristic of a sample. In this case, the percentage of employees in the sample who own a television (45%) is a statistic because it summarizes a characteristic of the sample of employees that was selected. A parameter, on the other hand, is a value that summarizes a characteristic of a population. For example, if we were to consider the percentage of all employees in the company who own a television, then the mean or median percentage of television ownership would be a parameter because it would describe a characteristic of the entire population of employees. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.

To learn more about Statistic click here

brainly.com/question/14318705

#SPJ4

Answer:

-5x-96/12

Step-by-step explanation:

Firstly we want ot combine the multiplied terms into one fraction:

(1x/3-3)+(-3/4 x-5)

Then we multiply by 1:

(x/3-3)+(-3/4 x-5)

Find common denominator:

(x/3+3(-3)/3)+(-3/4 x-5)

Combine fractions with common denominator:

(x+3(-3)/3)+(-3/4 x-5)

Multiply the numbers:

(x-9/3)+(-3/4 x-5)

Combine multiplied terms into a single fraction:

x-9/3+(-3x/4 -5)

Find common denominator:

x-9/3+(-3x/4 + 4(-5)/4)

Combine fractions with common denominator:

x-9/3+(-3x + 4(-5)/4)

Multiply the numbers:

x-9/3 + (-3x-20/4)

Find common denominator:

4(x-9)/12 + 3(-3x-20)/20

Combine fractions with common denominator:

4(x-9)+3(-3x-20)/12

Distribute:

4x-36+3(-3x-20)/12

Distribute:

4x-36-9x-60/12

Subtract the numbers:

4x - 96 - 9x/12

Combine like terms:

-5x - 96/12

Answer: -5x-96/12

The instantaneous rate of change of R(t) at time t is the limit of the average rate of change of R(t) as h approaches 0. In this case, the instantaneous rate of change of R(t) at time t = 1 is R'(1) = 9000 dollars/day.

The average rate of change of a function is the ratio of how much the output of the function changes over a given period to the length of that period. We can calculate this for the function R(t) = 210 + 30t3 by considering the time intervals [t, t+h] at h = 1, 0.1 and 0.01 days.

For h = 1 day, the average rate of change of R(t) is 90 dollars/day. This can be calculated by dividing the difference in output of the function at t and t+h, i.e., 30t3+30(t+1)3 = 1080, by the length of the period, h = 1 day.

For h = 0.1 day, the average rate of change of R(t) is 900 dollars/day. This is calculated by dividing the difference in output of the function at t and t+h, i.e., 30t3+30(t+0.1)3 = 9, by the length of the period, h = 0.1 day.

For h = 0.01 day, the average rate of change of R(t) is 9000 dollars/day. This is calculated by dividing the difference in output of the function at t and t+h, i.e., 30t3+30(t+0.01)3 = 0.9, by the length of the period, h = 0.01 day.

The instantaneous rate of change of R(t) at time t is the limit of the average rate of change of R(t) as h approaches 0. In this case, the instantaneous rate of change of R(t) at time t = 1 is R'(1) = 9000 dollars/day.

Learn more about instantaneous here:

https://brainly.com/question/28837697

#SPJ4

The calculated test statistic (t = -0.527) is not less than -1.894 or greater than 1.894.

A hypothesis test can be performed to determine whether the mean volume of beverage in the cans differs from 12 ounces using the following steps:

(1)State the null hypothesis and the alternative hypothesis.

The null hypothesis is that the mean volume of beverage in the cans is equal to 12 ounces (μ = 12). The alternative hypothesis is that the mean volume of beverage in the cans is not equal to 12 ounces (μ ≠ 12).

(2)Select a level of significance (α).

In this case, the level of significance is α = 0.05.

(3)Calculate the sample mean and standard deviation.

The sample mean can be calculated as:

mean = (11.96 + 12.10 + 12.04 + 12.13 + 11.98 + 12.05 + 11.91 + 12.03) / 8 = 12.04375

The sample standard deviation can be calculated as:

[tex]s=\sqrt((11.96 - 12.04375)^2 + (12.10 - 12.04375)^2 + (12.04 - 12.04375)^2 + (12.13 - 12.04375)^2 + (11.98 - 12.04375)^2 + (12.05 - 12.04375)^2 + (11.91 - 12.04375)^2 + (12.03 - 12.04375)^2) / (8 - 1))[/tex] [tex]s=0.277764079[/tex]

(4)Calculate the test statistic.

The test statistic can be calculated as:

t = (mean - 12) / (s / sqrt(8))

(5)Determine the critical value(s) from the t-distribution table with 7 degrees of freedom (8 - 1).

At a significance level of 0.05 and 7 degrees of freedom, the critical value from the t-distribution table is approximately ±1.894.

(6)Compare the test statistic to the critical value(s).

If the test statistic is less than -1.894 or greater than 1.894, then the null hypothesis can be rejected. Otherwise, the null hypothesis cannot be rejected.

(7)Conclude the hypothesis test.

In this case, the calculated test statistic (t = -0.527) is not less than -1.894 or greater than 1.894. Therefore, we cannot reject the null hypothesis. This means that there is not enough evidence to conclude that the mean volume of beverage in the cans is different from 12 ounces.

Learn more about mean :

https://brainly.com/question/28670966

#SPJ4

The most appropriate approach of probability to determine the probability of having a snow on Christmas is Relative frequency approach or Empirical probability.

The Empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

The most appropriate approach of probability to determine the probability of getting a red colour if you play on multicolour roulette is Classical approach of probability.

In classical probability, all the outcomes have equal odds of happening. For example, rolling a dice or tossing a coin. The formula of classical probability is as follows: P(A)= f/N; where, P(A)= classical probability, f= frequency or the number of favourable outcomes and N= Number of total possible outcomes.

The most appropriate approach of probability to determine the probability of Catalonia becoming an independent state is Subjective probability.

Subjective probability is a type of probability derived from an individual's personal judgment or own experience about whether a specific outcome is likely to occur. It contains no formal calculations and only reflects the subject's opinions and past experience.

The most appropriate approach of probability to determine the probability of being involved in a car accident is Relative frequency approach or Empirical probability.

The Empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

To know more about probability

https://brainly.com/question/16722133

#SPJ4

The solution of x in the rhombus is 3

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

The rhombus

Also, we have

LN = 14

AN = x + 4

Using the above as a guide, we have the following equation:

LN = 2 * AN

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

2 * (x + 4) = 14

Evaluate the expression

x + 4 = 7

Subtract 4 from both sides

so, we have the following representation

x = 3

Hence, the solution is 3

Read more about rhombus at

brainly.com/question/12918359

#SPJ1

Answer:

C

Step-by-step explanation:

Two less than 7 times a number equals 33 = 7x - 2 = 33. Sorry I cant really explain :/

Hope my answer helps!

The equation 7(2W + 3) = 14W + 20 has no solution because it produces a false statement when you distribute 

       14 W + 21 = 14 W + 20

because 21 ≠ 20.

To make it have infinitely many solutions, you need to make that statement always true.  You can do this by changing the "20" on the right side to be "21":

    7(2W + 3) = 14W + 21

This equation is always true, no matter what value of W you pick.

Answer: 12: 6 and 24: 12 and 3: 1.5

Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6  

Answer:

2 : 1,

12/

Step-by-step explanation:

all you have to do is cross out the numbers, basically simplify the

the answer is 2:1 because in 3's multiplication table,

3×2=

and

3×1=

similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/

The distance between the given pair of points (3,-4) and (9,-9) is 7.8 unit.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point 1 ( 3,-4 )

Point 2 ( 9,-9 )

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 9 - 3 )² + ( -9 - (-4) )² )

D = √( ( 9 - 3 )² + ( -9 + 4 )² )

D = √( ( 6 )² + ( -5 )² )

D = √( 36 + 25 )

D = √( 61 )

D = 7.8 units

Therefore, the distance between the of points is 7.8 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

An article appearing in a certain journal included the following acrylamide content for five brands of biscuits. 344 , 294, 333, 276, 248. The mean acrylamide level (in nanograms/gram) is 299.

In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values. It is commonly referred to as the average.

To calculate the mean, all the data values are added together, and then this sum is divided by the number of data points in the dataset. The formula for calculating the mean is:

mean = (sum of values) / (number of values)

To calculate the mean acrylamide level, we need to add up all the acrylamide levels for the five brands of biscuits and divide the sum by the total number of brands.

Sum of acrylamide levels = 344 + 294 + 333 + 276 + 248 = 1495

Total number of brands = 5

Mean acrylamide level = (Sum of acrylamide levels) / (Total number of brands) = 1495 / 5 = 299

Therefore, the mean acrylamide level is 299 nanograms/gram.

To learn more about mean click on,

https://brainly.com/question/30112112

#SPJ4

Answer:  Therefore, we purchased 4 adult tickets and 7 child's tickets.

Step-by-step explanation:

Through the information provided, we set up a system equation:

a + c = 11

7.50a + 5.00c = 65

By the first equation, we convert it into a form, then we get a = 11 - c. Then we plug in the a = 11 - c to the second equation:

  7.50(11 - c) + 5.00c = 65

82.5 - 7.50c + 5.00c = 65

            82.5 - 2.50c = 65

                     - 2.50c = 65 - 82.5

                     - 2.50c = - 17.5

                               c = - 17.5/- 2.50

                               c = 7

And we plug c = 7 back into the first equation, which is a + c = 11.

a + c = 11

a + 7 = 11

      a = 11 - 7

      a = 4

Therefore, we purchased 4 adult tickets and 7 child's ticket.

Answer:

A correlation of -1.00 indicates a strong negative correlation. This means that as one variable increases, the other variable decreases at a constant rate. In other words, there is a perfect inverse relationship between the two variables, with one increasing as the other decreases and vice versa. This is the strongest possible negative correlation.

The correlation coefficient ranges from -1 to 1, with -1 indicating a strong negative correlation, 0 indicating no correlation, and 1 indicating a strong positive correlation. Positive correlations indicate that as one variable increases, the other variable also increases. Negative correlations indicate that as one variable increases, the other decreases.

In summary, a correlation of -1.00 indicates a strong negative correlation, meaning that there is a perfect inverse relationship between the two variables.

There are System A has 0 solutions and System B has 1 solution.

A solution to an equation is a number that can be substituted for the variable to provide a true number statement.

System A:

Line 1: y = (1/2)x

Line 2: y = (1/2)x - 1

System B:

Line 1: y = -x - 1

Line 2: y = -2x - 1

Using these equations, we can determine the number of solutions for each system:

System A has two lines that do not intersect (they are parallel), so it has no solutions.

System B has two lines that intersect at a single point, so it has one solution.

Therefore, System A has 0 solutions and System B has 1 solution.

Learn more about the solution to the equation here:

https://brainly.com/question/16038486

#SPJ9

The given expression is a fraction in the form of[tex](n^2 + 2n + 5)/n[/tex], which is an element of the set Omega ([tex]n^2[/tex]). This expression is true.

The given expression is a fraction in the form[tex](n^2 + 2n + 5)/n[/tex], which belongs to the set Omega[tex](n^2).[/tex] This statement is valid, as the fraction is simply a simplified form of a polynomial, which is an element of the Omega set. The numerator of the fraction is [tex]n^2 + 2n + 5[/tex], which is a quadratic equation in n. The denominator is n, which is a linear equation in n. As the numerator and denominator are both polynomials of n, the fraction is an element of the Omega set. Therefore, the statement is true.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Answer:

9.9 cm

Step-by-step explanation:

The right triangle has one-half the wing span as a leg.

The hypotenuse is 5.8cm and the other leg is 3cm

If we let the unknown leg of the triangle be x, by the Pythagorean theorem we know the sum of the squares of the two legs must be equal to the square of the hypotenuse .

So

x² + 3² = 5.8²

x² = 5.8² - 3²

= 33.64-9

= 24.64

x = √24.64

= 4.96

Total wingspan = 4.96 × 2 = 9.9 cm

The scaled dimensions of the kitchen, given the scale and the measurements, is 1. 26 cm x 0. 96 cm

1 meter on the scaled drawing would be 500 meters of the actual kitchen. This means that the scaled length would be:

= 6. 3 / 500

= 0. 0126 meters

The scaled width would be:

= 4. 8 / 500

= 0. 0096 meters

This can be converted to centimeters :

= 0. 0126 x 100 cm per meter

= 1. 26 cm

= 0. 0096 x 100

= 0. 96 cm

The scale dimensions would be:

1. 26 cm x 0. 96 cm

Find out more on scaled dimensions at https://brainly.com/question/19965893

#SPJ1

The equation of the parabola is x^2 = 8(y + 3)

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

Focus = (4, -3)

Directrix, y = 1

Since the directrix is a horizontal line, the parabola opens downward or upward.

The focus is located 4 units to the right of the vertex

So, we have

Vertex = (0, -3).

The equation is of the form:

(x - h)^2 = 4p(y - k),

where (h, k) is the vertex, and p is the distance from the vertex to the focus (and to the directrix).

In this case, h = 0, k = -3, and p = 2.

Substituting these values, we get:

(x - 0)^2 = 8(y + 3)

x^2 = 8(y + 3)

So the equation is x^2 = 8(y + 3)

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

The required measure of x is given in each triangle are given as,
2. x = 74.01     3.   25.09      4.  x = 23.78
5. x = 26.64    6. x = 21.03°  7. x = 39.55°

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
2.
For the given triangle
Apply the trigonometric ratios,

Tan 62 = x/25
x = 25 tan62
x = 74.01

Similarly,
3. x = 11/sin26  = 25.09
4. x = 32sin48 = 23.78
5. x = 29/cos12 = 29.64
6. cosx = 14/15 = 21.03°
7. tanx = 19/23 = 39.55°

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ1

The number of decimeters in  3.6 millimeters is 0. 0036 decimeters. Option D

Conversion of units is simply defined as the conversion that is between different units of measurement for a particular quantity.

it is carried out mostly through multiplicative conversion factors.

It may involve multiple steps of multiplication or division by  a conversion factor.

From the information given, we have that;

1 decimeter = 1000 millimeters

Then, x decimeter = 3.6 millimeters

Cross multiply the values

x = 3.6/1000

divide the values

x  = 0. 0036 decimeters

Hence, the value is  0. 0036 decimeters

Learn about conversion of units at: https://brainly.com/question/8426032

#SPJ1

Answer:

The monthly fee is [tex]\boxed{\$\;3.00}[/tex] and the yearly fee is [tex]\boxed{\$\;12.00}[/tex]

Step-by-step explanation:

The graph is a straight line whose equation can be represented in general terms as

y = mx + b

m = slope which is the rate of change of y with respect to x
b = y-intercept which is the value of y when x = 0; also the y-value where the line crosses the y-axis

To find m:

To find b:

So the equation of the line is
y = 3x + 12

In this context 3 represents the monthly fee since for 1 month, the cost goes up by $3

The constant 12 represents the yearly cost of membership which is the amount incurred regardless of how long you are with the music group

Answers
Monthly fee: $3
Yearly fee = $12

Part (a)

4/15 is the probability of getting a rotten orange

After one is taken and not put back, there are

meaning 3/14 is the probability of a second rotten orange.

Two rotten in a row has the probability (4/15)*(3/14) = 2/35. I skipped a few steps so let me know if you need to see in more detail how I got to that result.

=====================================================

Part (b)

We want to calculate the probability exactly one of the two oranges selected is rotten.

There are two possible cases here:

Let's determine the probability for case 1.

4/15 was mentioned earlier in part (a) as the probability of a rotten orange. There are 15-4 = 11 non-rotten oranges and 15-1 = 14 remaining since we aren't replacing the first selection. That gives 11/14 as the probability the 2nd selection is fresh.

We get (4/15)*(11/14) = 22/105 as the probability for case 1 to happen.

Through similar calculations, the probability for case 2 is (11/15)*(4/14) = 22/105

Cases 1 and 2 are mutually exclusive. Both cannot happen simultaneously. There is no overlap. This fact allows us to add the results to get:

22/105 + 22/105 = 44/105

That fraction cannot be reduced.

The distance of the rope to the base of the flagpole is 27.05 ft.

A rope is tied from the top of a flag pole to the ground. If the rope is 28 ft long and makes a 15 degree angle with the ground, the distance of the rope to the base of the flag pole can be calculated as follows:

The situation forms a right angle triangle.

Hence,

using trigonometric ratios,

cos 15° = adjacent / hypotenuse

cos 15° = x / 28

cross multiply

Therefore,

x = 28 cos 15

x = 28 × 0.96592582628

x =  27.0459231361

x = 27.05 ft

Therefore,

distance of the flagpole to the base of the ground  = 27.05 ft

learn more on right triangle here: https://brainly.com/question/888590

#SPJ1

The estimated quantity of dye left in a healthy pancreas 30 minutes after the injection, rounded to the closest hundredth of a grams, is 0.07 grams.

As per the question given,  

After the dye is injected, a healthy pancreas will secrete 4% of the remaining amount of dye each minute. Let's use exponential decay to model the amount of dye remaining in the pancreas over time.

The amount of dye remaining after t minutes can be expressed as:

R(t) = 0.3 * (1 - 0.04)^t

We want to find the amount of dye remaining after 30 minutes, so we can substitute t=30 into the equation and calculate:

R(30) = 0.3 * (1 - 0.04)^30

R(30) = 0.3 * (0.96)^30

R(30) = 0.3 * 0.2312

R(30) = 0.0694

Rounding to the nearest hundredth of a gram, the predicted amount of dye remaining in a healthy pancreas 30 minutes after the injection is 0.07 grams.

For such more questions on Dye

https://brainly.com/question/28882250

#SPJ4

Answer:

  0.09 g

Step-by-step explanation:

You want to know the amount remaining of 0.3 g of dye after 30 minutes if the amount decreases by 4% per minute.

The amount can be modeled by the exponential function ...

  q = a·b^t

where q is the quantity remaining, 'a' is the initial quantity, b is the growth factor per minute, and t is the number of minutes.

The growth factor is related to the growth rate by ...

  b = 1 + growth rate

Here, the growth rate is -4% per minute, so the growth factor is ...

  b = 1 +(-0.04) = 0.96

The initial quantity is 0.3 grams, so the remaining quantity after 30 minutes is ...

  q = 0.30·0.96^30 ≈ 0.08816 ≈ 0.09 . . . . grams

The amount of dye remaining after 30 minutes is predicted to be 0.09 g.

<95141404393>

Answer: Since the square root of a negative number is not a real number, there are no real solutions to this equation, and therefore no values of x for which f(x) = g(x).

Step-by-step explanation:

To find all values of x for which f(x) = g(x), we can set the two functions equal to each other and solve for x:

-x² + 5 = -2x + 2

Expanding the right-hand side:

-x² + 5 = -2x + 2

-x² + 2x + 3 = 0

Solving for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 2, and c = 3

x = (-2 ± √(2² - 4(1)(3))) / 2(1)

x = (-2 ± √(4 - 12)) / 2

x = (-2 ± √(-8)) / 2

Since the square root of a negative number is not a real number, there are no real solutions to this equation, and therefore no values of x for which f(x) = g(x).

Answer:

Yes, 26

Step-by-step explanation:

78 miles ÷ 3 gallons = 26 mpg

The board should be 28 inches long.

What is an expression?

An expression or mathematical expression in mathematics is a finite combination of symbols that is well-formed in accordance with context-dependent principles.

Let's call the length of the first part "x". Then, the length of the second part would be x + 6 inches. The total length of both parts is 50 inches, so we can set up an equation to solve for x:

x + (x + 6) = 50

Expanding and solving for x:

2x + 6 = 50

2x = 44

x = 22

So, the first part should be 22 inches long, and the second part should be 22 + 6 = 28 inches long.

The board should be 28 inches long

Given below is a sample of expression please refer the following

https://brainly.com/question/25968875

#SPJ1

The five number summary is the minimum, first quartile (25th percentile), median (50th percentile), third quartile (75th percentile), and the maximum.

To give the smallest interval that we know contains the 30th percentile, we would take the 25th percentile and the 30th percentile. So, the smallest interval that we know contains the 30th percentile would be [25th percentile, 30th percentile].

The smallest interval that contains the 30th percentile is [25th percentile, 30th percentile], which is found using the five number summary (minimum, first quartile, median, third quartile, and maximum).

Learn more about minimum here

https://brainly.com/question/29156925

#SPJ4