An element with a ma and of 200 gram decay by 12. 6% per minute. To the nearet minute, how long will it be until there are 30 gram of the element remaining

The distance between the light house and the farthest island is 68 miles

The distance between the light house and the farthest island can be calculated by using the distance formula

The distance formula is d=√((x2 – x1)² + (y2 – y1)²).

d=√((61 – (-7))² + (9 – 9)²)

d = √(61 +7)²

d = 68

If each unit on the graph represents 1 mile

There are 68 units in the graph, so the light house is 68 miles away the farthest island

Therefore, The distance between the light house and the farthest island is 68 miles

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The probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.

Probability is synonymous with potential. It is a branch of mathematics that studies the occurrence of a random event. The number ranges from 0 to 1. In mathematics, probability has been introduced to predict how likely events are to occur.

Given that

Of 7 new employees, 2 employees are married to each other; these 7 employees are to be assigned 7 desks that are lined up in a row.

If the assignment of the employees to the desks is made randomly, we have to find the probability that the married couple will have adjacent desks and will have non-adjacent desks.

Now, the event that the couple has non-adjacent desks is the complement of the event that they have adjacent desks.

Now, first, let us determine in how many ways can the couple have adjacent desks.

Let us consider the married couple as a single entity, that always stays together.

Then, in total, there are 6 entities; 5 non-related employees and 1 married couple.

Now, these 6 can be arranged among themselves in 6! number of ways.

The married couple can have adjacent desks in 2! ways.

So, the favorable number of cases, in which the couple has adjacent desks, is 6!*2!.

Again, 7 employees can be assigned desks in 7! number of possible ways.

That is, the number of all possible cases is 7!.

This means that

P(The couple has adjacent desks)

=6!*2!/7!

=0.2857.

Now,

P(The couple will have non-adjacent desks)

=1-P(The couple will have adjacent desks)

=1-0.2857

=0.7143

Therefore the probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.

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Answer:

50 mins

Step-by-step explanation:

80 percent=40 mins

100 percent=50 mins

The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.

Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.

Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.

Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.

Hence, the correct answer is Option B.

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The correct answer is Parameters are described as a group of numerical characteristics of a population.

In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.

               Parameters are the numerical portrayal of the characteristics of a population.  Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.

Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.

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Answer:

Step-by-step explanation:

can’t be determined

Answer:

The point at which these lines intersect is (-0.50, 1.07).  We can solve this in two ways:  mathematically or graphically.   Both are described.

Step-by-step explanation:

We have 2 equations, so we'll assume that the question is to find if they intersect, and if they do, where is the point of intersection.

Let's rewite the equations in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

  1)  9x + 7y = 3

   7y = -9x + 3

y = -(9/7)x + (3/7)  This line has a slope of -(9/7) and a y-intercept of +(3/7).

   2) x - 7y=-8

-7y = -x - 8

y = (1/7)x + (8/7)  This line has a slope of (1/7) and an intercept of (8/7)

The line have different slopes, so they will intersect.  We can find the intersection point by either graphing or by substitution.  We'll do both:

Substitution

We'll rearrange one equation in terms of x and then use that value of x in the second equation.  Thuis has the effect of eliminating one of the variables (x or y) so that we can solve for the remaining value of x or y,

We've rearranged both equations so that they have y equal to an expression involving x.  If the lines intersect, we know that y in both equations will be the same at that point, so set the equations equal to each other and solve for x:

y = -(9/7)x + (3/7)

y = (1/7)x + (8/7)

Therefore:   -(9/7)x + (3/7) = (1/7)x + (8/7)

-(9/7)x -(1/7)x = + (8/7) - (3/7)

-(10/7)x = +(5/7)

x = (5/7)*(-7/10)

x = (-35/70)

x = -0.50

Now we can use this value of x to find y:

9x + 7y = 3

9(-0.50) + 7y = 3

-4.5 + 7y = 3

7y = 3+4.5

y = (7.5/7)

y = 1.07

The point at which these lines intersect is (-0.50, 1.07)

Graphing:

We can also graph the two equations and then look for the intersection.  See the attached graph.  The lines intersect at (-0.50, 1.07)

The mathematical approach has more certainty, since it does not require interpreting the intersection point on a graph.  Use the graphing approach to check the conclusion from the substitution approach.

The greatest percent error among the predictions is of:

2.23%.

The percent error of a measure is obtained by the division of the difference between the actual value and the estimated value by the actual value, and multiplied by 100%, hence the equation is:

Percent error = |Actual - Estimate|/Actual x 100%.

From the given dot plot, we have that the farthest measure from 22.4 seconds is of 22.9 seconds.

The difference between the actual time and the estimate time is of:

22.9 seconds - 22.4 seconds = 0.5 seconds.

Applying the presented division, the percent error is given as follows:

Percent error = 0.5/22.4 x 100% = 2.23%.

The dot plot is given by the image at the end of the answer.

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a. The ramp dimensions of 15 feet away and 3 feet above do not meet the ADA guidelines.

b. A measurement that would meet the guidelines is the ramp starting 39 feet away, with a height of 3 meters.

The verification if the ramp meets the guidelines is made with the slope of the ramp, which is the ratio of the vertical distance of the ramp by the horizontal distance of the ramp, obtained dividing these two measures.

The measures are given as follows:

Hence the ratio is given as follows:

3/15 = 1/5.

The ratio is greater than the threshold of 1/12, hence the ramp does not meet the guideline.

Keeping the vertical distance, the adequate horizontal distance is obtained multiplying the vertical distance by 13, as the ratio would be of 1/13, hence:

13 x 3 = 39 feet.

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The required value of the number of sides ( n ) is 17.

What is polygon?

A closed, two-dimensional object composed of straight lines is called a polygon. In most cases, we can quickly determine the polygon's number of sides from its name.

Given, two of the exterior angles of an n-sided polygon are 25° & 26°

So, the sum of exterior angle = 25° + 26° = 51°

three of its interior angles are 161º each

So, each exterior angle = 180° - 161° = 19° .

sum of three exterior angles = 19*3 = 57° .

Then,

Remaining total angles = n - (2 + 3) = (n - 5).

And, the remaining interior angles are 159° each.

So, each exterior angle of the remaining angles = 180° - 159° = 21°.

sum of all (n -5) exterior angles remaining = 21(n - 5) = (21n - 105°) .

Now,

Sum of all exterior angles = 360°

or, 51° + 57° + (21n - 105°) = 360°

or, 21n + 108° - 105°  = 360°

or, 21n + 3° = 360°

or, 21n = 360° - 3°

or, 21n = 357°

or, n = 357/21 = 17

Hence, The required value of n is 17.

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Answer:

x=5

Step-by-step explanation:

Follow the steps in the image.

-Hope this helped

The probability of the experiment is = 0.375, 0.665.

acc  to our question-

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When charging $15 for a key chain, it is discovered that his maximum profit is $75 using the vertex of the quadratic function.

The vertex of a quadratic equation,

A quadratic equation is given by, [tex]ax^{2} +bx +c[/tex]

The vertex is given by [tex]A (x_{1} ,y_{1} )[/tex]

[tex]x_{1} = \frac{-b}{2a}\\ \\y_{1} = \frac{-b^{2} +4ac }{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.

If a > 0, it will be a minimum point.

The function given is (x -10 ) (60 -3x)

f(x) = (x -10 ) (60 -3x)  = 60x -3[tex]x^{2}[/tex] -600 +30x = -3[tex]x^{2}[/tex] +90x -600

So, here a = -3, b = 90 and c = -600

So,

[tex]x_{1} = \frac{-b}{2a}\\ \\x_{1} = \frac{-90}{2*(-3)} = 15[/tex]

[tex]y_{1} = \frac{-b^{2} +4ac }{4a} = \frac{(-90)^{2} + 4*(-3)*(-600) }{4*(-3)} = 75[/tex]

Hence, He can make up to $75 in profit when he charges $15 for a key chain.

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The width of the rectangle is 4 inches and length of the rectangle is 8 inches.

Given,

The width of the rectangle = x inches

The length of the rectangle = x + 4 inches

Perimeter of the rectangle = 24 inches

We have to find the dimensions of the rectangle;

Here,

Perimeter of rectangle = 2(length + width)

So,

24 = 2(x + 4 + x)

24/2 = 2x + 4

12 - 4 = 2x

x = 8/2

x = 4.

That is,

Width of the rectangle = 4 inches

Length of the rectangle = 4 + 4 = 8 inches.

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 30}}{\left( \cfrac{70}{100} \right)30}\implies 21[/tex]

Answer: 21

Step-by-step explanation:

70% of 30 students is 21

Hope this helped :)

Answer:

I think that the answer is going to be 34-21+6=19

The number of communication channels, 10 channels would five people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 5;

→ x = 5*(5 - 1)/2

     = 5*2

     = 10

The number of communication channels, 10 channels would five people require.

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The Area of the circle is 149.6 when the radius is 6.9cm.

Given that,

The radius is 6.9cm when the pi value is 3.142

Find the circle's area is what we must do.

We know that,

Radius is 6.9cm

r= 6.9cm

The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.

Area of the circle is πr²

Area of the circle= 3.142×6.9²

Area of the circle= 3.142×47.61

Area of the circle=149.6

Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.

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The expected value of a player's winnings on each roll is equal to: D. $30.00

In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.

By rolling a fair six-sided die, we would obtain the following outcomes:

Outcomes = 1, 2, 3, 4, 5, and 6.

Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:

Multiples of three (3) = 3 and 6

When a player rolls a three (3), the player's possible winning is giving by:

Player's winning = 3 × 20 = $60

When a player rolls a three (3), the player's possible winning is giving by:

Player's winning = 6 × 20 = $120

Total winnings = $60 + $120

Total winnings = $180

Now, we can determine the expected value of a player's winnings on each roll:

Expected value = 1/6 × 180

Expected value = $30.

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Complete Question:

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

A. $3.33

B. $6.66

C. $8.50

D. $30.00

E. $40.00

Answer:

80

Step-by-step explanation:

16x5=80

Answer:

y=6x+2

Step-by-step explanation:

y=mx+c

8=6(1)+c

8=6+c

c=2

y=6x+2

Step-by-step explanation:

[tex]\sf 12 \times \cfrac{12}{2} + 13[/tex]

First, let's divide 12 by 2:-

Multiply 12 × 6 :-

Add 72 + 13:-

Therefore, your answer is 85!!

____________________

Hope this helps!

Have a great day!!

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

If we consider x to be the angle opposite the Pizza Palace, then x = 54°

Also:

The snake hut plus x equals 180

54 plus The Snake Hut = 180

126° is the snake hut.

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

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The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

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Throughput is often a dependent variable with "bits per second" as its unit.

what is unit and measurment?

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Answer:

Step-by-step explanation: 1 is the mode it has the most numbers that repeat

Answer:

The mode is 1.

Step-by-step explanation:

The mode is the number that occurs in a set the most. You can remember this as the word "most" and "mode" sounding similar.

The percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

Given that, the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

The percent of the variation in the dependent variable that can be explained by the independent variable is called coefficient of determination, which is r².

In this case, r = 0.456. So r² = 0.456² = 0.208

That means 20.8% of the variation in the amount of money earned can be explained by differences in the number of hours worked.

Therefore, the percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

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The length of AD in the parallelogram is 143 cm.

A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.

Hence,

2x + 72 + 2x - 20 = 180

4x + 52 = 180

4x = 180 - 52

4x = 128

divide both sides by 4

4x / 4 = 128 / 4

x = 32

Therefore,

∠A = 2(32) + 72 = 64 + 72 = 136 degrees

z = 136°

Therefore,

AC = BC = BD = AD

AC = z + 7

AC = 136 + 7

AC = 143 cm

Hence,

AD = 143 cm

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Answer:

.444....

Step-by-step explanation:

4 out of 9 is   4/9      or   4 ÷ 9 = .444...

The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).

Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A  → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The domain of the function d(t)=1/2t+6 is given by

Domain: (-∞, ∞), {x|x ∈ R}

The range of the function is given by

Domain: (-∞, ∞) , {y|y ∈ R}

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Centriod!

A centroid is also known as the centre of gravity.

Hope this answers your question!

Answer: centroid

Step-by-step explanation: