The answer would be 250

1. P(Kelly) = 1/10 = 0.1 = 10%, 2. P(name starting with a J) = 2/10 = 1/5 = 0.2 = 20%, 3. P(not Laura) = 8/10 = 4/5 = 0.8 = 80%, 4. P(4 letter name) = 2/10 = 1/5 = 0.2 = 20%, 5. P(girl) = 3/10 = 0.3 = 30%, 6. P(not a 5 letter name) = 6/10 = 3/5 = 0.6 = 60%

To find the probability of each event, we first need to determine the number of favorable outcomes and the total number of possible outcomes. In this case, the total number of possible outcomes is 10 because there are 10 names in the bucket.

For example, to find the probability of selecting Kelly (P(Kelly)), we see that there is only one favorable outcome, and there are a total of 10 possible outcomes. Therefore, P(Kelly) = 1/10.

Similarly, to find the probability of selecting a name starting with a J (P(name starting with a J)), we count the number of names that start with a J (which is 2) and divide by the total number of possible outcomes (which is 10).

Finally, we express each probability as a fraction, percent, and decimal for ease of comparison and understanding.

to learn more about probability click here: brainly.com/question/30034780

#SPJ11

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.

Since A local bicycle shop makes $75 on each  Model A bike and $90 on each Model B bike, hence:

Revenue = 75x + 90y

The overhead cost is $1350, hence to make profit:

Revenue ≥ cost

75x + 90y ≥ $1350

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

Find out more at: https://brainly.com/question/25285332

Answer:

11² = 121

Step-by-step explanation:

When you divide powers with the same base, subtract the exponents.

\( \dfrac{11^6}{11^4} = 11^{6 - 4} = 11^2 = 121 \)

Answer:

121

Step-by-step explanation:

11 to the 6 power = 1771561

11 to the 4 power = 14641

1771561/14641 = 121

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

To learn more about triple integral  visit:https://brainly.com/question/30404807

#SPJ11

Answer:

-1 1/3

Step-by-step explanation:

1 2/3 - 2 1/3

1-2 is -1

2/3 -1/3 is 1/3

-1 1/3

The slope of the required line is -2 and the y-intercept of the required line is -10, giving the equation of the required line as \(y = -2x - 10.\)

Given the equation of the line: r - 2y = 5.Since the equation is not given in the form y = mx + b, we have to convert it to that form. Therefore, r - 2y = 5⇒ r = 2y + 5.Dividing both sides of the equation by 2, we get, y = (1/2)r - 5/2Comparing the given equation with y = mx + b, we get m = 1/2, b = -5/2.

Now, the given line is: y = (1/2)r - 5/2Since we need to find the equation of the line that is perpendicular to the given line, we need to find the slope of the line that is perpendicular to the given line. The slope of the given line is m = 1/2. The slope of the line that is perpendicular to this line is the negative reciprocal of 1/2.

To know more about equation  visit:-

https://brainly.com/question/29538993

#SPJ11

Answer:

2

Step-by-step explanation:

The order of operations is:

Parentheses

Exponents
Multiply
Division
Addition
Subtraction

1 + 1 * 1 / 1 =

1 + (1 * 1) / 1 =

1 + 1 / 1 =

1 + 1 =

2

-------------------------------------------------------------------------------------------------------------

Hope this helps :)

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

Read more about Line of best fit at; https://brainly.com/question/1441182

#SPJ1

Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).

To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.

To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.

To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.

Therefore, the turning point of the parabola is approximately (-0.5, -3.25).

From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.

Learn more about parabola here:

brainly.com/question/11911877

#SPJ11

Answer:

1

Step-by-step explanation:

An algorithm is a set of instructions or rules designed to solve a particular problem or achieve a specific goal. In the case of finding the minimum spanning tree (MST) of a weighted undirected graph, two popular algorithms are Kruskal's algorithm and Prim's algorithm.

Kruskal's algorithm works by selecting the lowest cost edges that do not form any cycle, until all vertices are connected in a single MST. It starts by sorting all the edges in non-decreasing order of their weights. Then, it considers each edge one by one and adds it to the MST if it does not create a cycle. A disjoint-set data structure is used to keep track of the connected components of the graph.

On the other hand, Prim's algorithm works by starting from an arbitrary vertex and gradually adding the lowest cost edges that connect the MST to the remaining vertices. It maintains a set of visited vertices and a priority queue of the edges that connect them to the unvisited vertices. At each step, it selects the edge with the lowest weight and adds its endpoint to the visited set. Then, it updates the priority queue by adding the edges that connect the new vertex to the unvisited vertices.

Both algorithms guarantee to find the same MST for any given weighted undirected graph. However, Kruskal's algorithm is generally faster and easier to implement, especially for sparse graphs. Prim's algorithm has the advantage of being more efficient for dense graphs, as it avoids considering all the edges.

Learn more about algorithm

brainly.com/question/28724722

#SPJ11

the perimeter of triangle is equal to the sum of all the side of the triangle,

The perimeter of given triangle is x+y+9+3

Solve for x and y,

Apply pythagoras theorem in triangle ADC,

Now, in triangle ADB

Apply pythagoras,

Compare the value of AD from both the equation,

Now, in triangle ABC

Add the equation

Substitute x=6 in the above equation,

So, the value of the other side of triangle are 6, 10.39

Perimeter of triangle =sum of all sides of triangle

ANSWER : Perimeter is 28.39

Answer:

it describes the proportion of individuals in a sample with a certain characteristic or trait

Step-by-step explanation:

to find sampling proportion, u have to divide the number of people or items who have the characteristic of interest by the total number of people/items in the sample.

It describes the percentage of people in a sample who possess a particular quality or attribute.

What is a sampling proportion?

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

Formula to calculate sampling proportion

p′ = x / n

where,

x: the number of successes

n: the sample size

p′:  sample proportion

Hence, it describes the percentage of people in a sample who possess a particular quality or attribute.

To learn more about the sampling proportion from the given link

https://brainly.com/question/18514274

#SPJ4

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

We can see here that the two ways one can make sure that the turnbuckle works are:

A turnbuckle is a mechanical device that is used to adjust the tension or length of a rope, cable, or wire. It is typically made of metal and consists of two threaded eye bolts that are connected by a metal frame or body. The body can be rotated, which causes the two eye bolts to move closer or farther apart, depending on the direction of the rotation.

Thus, we see here that the above explanation helps us to know how to make the turnbuckle to work when used.

Learn more about turnbuckle on https://brainly.com/question/14697928

#SPJ1

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

Learn more about scale models here:

https://brainly.com/question/17581605

#SPJ4

The area of the irregular shape is 63 ft². Answer: a = 63 ft².

To find the area of the irregular shape, we can break it down into smaller rectangles and triangles, and then sum up their areas.

First, let's calculate the areas of the rectangles:

Rectangle 1: Length = 6 ft, Width = 4 ft

Area = Length × Width = 6 ft × 4 ft = 24 ft²

Rectangle 2: Length = 1 ft, Width = 12 ft

Area = Length × Width = 1 ft × 12 ft = 12 ft²

Rectangle 3: Length = 4 ft, Width = 4 ft

Area = Length × Width = 4 ft × 4 ft = 16 ft²

Now, let's calculate the areas of the triangles:

Triangle 1: Base = 6 ft, Height = 1 ft

Area = (Base × Height) / 2 = (6 ft × 1 ft) / 2 = 3 ft²

Triangle 2: Base = 4 ft, Height = 4 ft

Area = (Base × Height) / 2 = (4 ft × 4 ft) / 2 = 8 ft²

Finally, sum up the areas of all the rectangles and triangles:

Total Area = Rectangle 1 Area + Rectangle 2 Area + Rectangle 3 Area + Triangle 1 Area + Triangle 2 Area

= 24 ft² + 12 ft² + 16 ft² + 3 ft² + 8 ft²

= 63 ft²

Therefore, the area of the irregular shape is 63 ft².

Answer: a = 63 ft².

for such more question on irregular shape

https://brainly.com/question/12738914

#SPJ8

Answer:

Y = 0

Step-by-step explanation:

Y = -2 + 2

Negative 2 plus 2 equals zero, there is no more numbers so Y = 0.

Answer:

x=1.75

Step-by-step explanation:

5x+4=x+11

5x-x=11-4

4x=7

divide both sides by 4

4x/4=7/4

x=1.75

Proportional reasoning can be used to make an estimate about a population using data from a sample by assuming that the sample is representative of the population as a whole.

Proportional reasoning involves using the relationship between different parts of a whole to estimate an unknown value.

To apply proportional reasoning to a population estimate, you would first need to gather a random sample of individuals from the population. Then, you could use the data from the sample to estimate the value of a particular characteristic or parameter for the entire population.

Find out more on proportional reasoning at https://brainly.com/question/5026329

#SPJ1

Answer: The property sold for $5,870.41.

Step-by-step explanation:

Let x be the selling price of the property.

Then, gross commission = 6.5% of x = 0.065x

listing salesman received = 12% of ( 0.065x)  = 0.12 (0.065x) = 0.0078 x

Balance = x - ( 0.065x) -  (0.0078 x)

= (1+0.065-0.0078)x

= 1.0572x

Scott received = 45% of (1.0572x)

=0.45 (1.0572x)

= 0.47574x

Now, \(0.47574x=2,792.79\)

\(\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41\)

Hence, the property sold for $5,870.41.

Answer:

h = 2.7 m

Step-by-step explanation:

The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is

\(\frac{6}{6+12}\) = \(\frac{0.9}{h}\) , that is

\(\frac{6}{18}\) = \(\frac{0.9}{h}\) ( cross- multiply )

6h = 16.2 ( divide both sides by 6 )

h = 2.7 m

Answer: a

Step-by-step explanation:

Answer:A

Step-by-step explanation:

To estimate the percentage of full-time college students who earn a bachelor's degree in four years or less, we need to determine the sample size with a 0.03 margin of error and a 95% confidence level.

To calculate the sample size needed to estimate the percentage, we use the formula:

n = (\(z^{2}\)* p * q) / \(E^{2}\)

Where:

n = sample size

Z = z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)

p = estimated proportion (percentage of full-time college students who earn a bachelor's degree in four years or less)

q = 1 - p (complement of p)

E = margin of error (0.03)

a) If nothing is known about the percentage to be estimated, we assume p = 0.5 (which gives the maximum sample size) and calculate the sample size. The result is rounded up to the nearest integer.

b) If previous studies have shown that about 40% of full-time students earn bachelor's degrees in four years or less, we use this prior knowledge by setting p = 0.4. The sample size is then calculated based on this estimated proportion.

c) The added knowledge in part (b) does have an effect on the sample

size, but it is relatively small. By having prior knowledge of the estimated proportion, we can use a more accurate estimate in the formula, which may result in a slightly smaller required sample size compared to when no prior knowledge is available (part a).

Learn more about sample size here:

https://brainly.com/question/30100088

#SPJ11

The length of the cut that Franklin made is 100 centimeters.

What is Pythagoras' theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The cut that Franklin made is the length of the diagonal of the plywood, which we can find using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the plywood forms a right triangle with sides of length 80 cm and 60 cm. Therefore, the length of the diagonal (the hypotenuse) can be found as follows:

diagonal length = \(\sqrt{(80^2 + 60^2)\)

\(= \sqrt{(6400 + 3600)\)

\(= \sqrt{10000\)

= 100 cm

Therefore, the length of the cut that Franklin made is 100 centimeters.

To learn more about the Pythagoras theorem, visit:

https://brainly.com/question/343682

#SPJ1

Answer:

(- 3, - 1 )

Step-by-step explanation:

1 down means subtract 1 from the y- coordinate

2 units right means add 2 to the x- coordinate

(- 5, 0 ) → (- 5 + 2, 0 - 1 ) → (- 3, - 1 )

Answer: X = 16

Step-by-step explanation:

so 6^(X-4) = 6^12

X = ?

we can rewrite it as X - 4 = 12 since the bases are the same

now solve for X

X = 12 + 4

X = 16

Answer:

y = -5x - 7

Step-by-step explanation:

(Change in y) / (Change in x)

(3-8) / (-2 - (-3))

-5 / 1

-5 is the slope

So far we have y = -5x

Plug in a set of values and find the difference

3 = -5(-2)

3 = 10

This is false

We need to subtract 7

Our equation therefore is

y = -5x - 7