Katya collects badges from the National Parks Junior Rangers program.


She wants to know how many cases she needs to display her collection. She can fit 8 badges in one case.


There are 207 National Parks that participate in the Junior Ranger badge program.


She does not have the badges for 165 parks. Which equation should she use first to solve this problem?


A)b=207-165


B)207+165


C)42 divided by 8


D)42*8(42 multiplied by 8)

a. N(0.52, 0.0275)

The probability is:

b. 0.1089
c. 0.8908

The sample proportion ˆp is defined as

ˆp=x/n, where x is the number of successes in the sample of size n.

The expected value of the sample proportion ˆp is E(ˆp) = p, and the variance is Var(ˆp) = p(1-p)/n.

In this case, p=0.52 and n=60

So, the distribution of the sample proportion is ˆp ~ N(0.52, 0.52(1-0.52)/60) = N(0.52, 0.0275).

Therefore, the distribution of ˆpp^ is N(0.52, 0.0275)

For the probability that the sample proportion is more than 0.55, we need to standardize the value of 0.55 using the mean and standard deviation from part (a).

z = (0.55 - 0.52)/√(0.0275)

z = 1.236

So, P(ˆp > 0.55) = P(z > 1.236) = 0.1089, using a standard normal distribution table.

Therefore, the probability that the sample proportion is more than 0.55 is 0.1089.

For the probability that the sample proportion is between 0.55 and 0.63, we need to standardize these values using the mean and standard deviation from part (a).

z₁ = (0.55 - 0.52)/√(0.0275) = 1.236

z₂ = (0.63 - 0.52)/√(0.0275) = 4.000

So, P(0.55 < ˆp < 0.63) = P(1.236 < z < 4.000)

= P(z < 4.000) - P(z < 1.236) = 0.9997 - 0.1089 = 0.8908. Therefore, the probability that the sample proportion is between 0.55 and 0.63 is 0.8908.

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ANSWER

32

STEP-BY-STEP EXPLANATION:

The expression is given below as

To solve this expression, we need to apply the law of indices

Let x = 1/2

substitute the value of x = 1/2 into the above-simplified expression

Hence, (1/2)^-5 is 32

Answer:

45 minutes

Step-by-step explanation:

1 1/2 hours = 90 minutes

90 - 45 = 45

The negative solution to the problem is -3.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the unknown number. When 18 is subtracted from the square of a number, the result is 3 times the number. Hence:

x² - 18 = 3x

x² - 3x - 18 = 0

Solving the quadratic equation gives:

x = -3; and x = 6

The negative solution to the problem is -3.

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Predictive analytics may be applied to "Prescriptive analytics," which is a set of techniques that use descriptive data and forecasts to identify the decisions most likely to result in the best performance.

Descriptive analytics focuses on analyzing historical data to understand what has happened in the past and gain insights into patterns and trends. It helps in summarizing and presenting data in a meaningful way.

Prescriptive analytics, on the other hand, goes beyond descriptive analytics by providing recommendations and suggestions for optimal decision-making. It leverages predictive analytics techniques to forecast future outcomes and combines them with business rules, constraints, and optimization algorithms to identify the best course of action.

In the context of predictive analytics, prescriptive analytics helps organizations make informed decisions by considering various potential outcomes and recommending the actions that are most likely to lead to the desired performance.

Therefore, predictive analytics can be applied to prescriptive analytics to leverage descriptive data and forecasts to identify the decisions that are expected to yield the best performance.

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Answer:

-25 ,B

Step-by-step explanation:

Answer:

x= -16

Step-by-step explanation:

distribute -2

-2 * 2x =-4x

-2 * 5 = -10

-4x - 10 -3 = -3 (x-1)

distribute -3

-3 * x = -3x

-3 * -1 = 3

-4x - 10 -3 = -3x + 3

combine like terms

-4x -13 = -3x + 3

-4x + 3x = -x

3 + 13 = 16

-x = 16

divide by -1

x = -16

Answer:

x = -16

Step-by-step explanation:

-2(2x + 5) - 3 = -3(x - 1)

-4x - 10 - 3 = -3x + 3

-4x - 13 = -3x + 3

-x = 16

x = -16   <--- This is the answer

Hope this helps!

By Euclidean geometry, the measure of the missing angle, the other acute angle, of the right triangle is equal to 47°.

Right triangles are triangles of which one of its angles is a right angle and the other two angles are acute angles. According to the statement, the measure of an acute angle of the right triangle is equal to 43°.

By Euclidean geometry, the sum of the internal angles in any triangle equals a measure of 180°. Then, the measure of the missing angle is:

90° + α + β = 180°

If we know that α = 43°, then the value of β is:

α + β = 90°

43° + β = 90°

β = 47°

The measure of the missing angle is equal to 47°.

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For different types of triangle, The circumcenter has different properties. The properties varies for acute, obtuse and right angle triangles.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

The spot where the three perpendicular bisectors of a triangle's sides meet and which is equally spaced from the triangle's three vertices.

Properties of circumcenter of triangle are:

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Chelsea needs at least 190 cm² of paper to cover the box.

To find the minimum amount of paper Chelsea needs to cover the rectangular prism-shaped box, we need to calculate the surface area of the box.

Surface Area = 2(lw + lh + wh)

Where,

L is length, W is width, aH nd f f is height.

So, to find the minimum amount of paper Chelsea needs, we need to know the box's surface area of the box. Once we have the dimensions, we can plug them into the formula and calculate the surface area.

For example, if the box has dimensions of length of 10 cm, width 5 cm, and height 30 cm, the surface area would be:

Surface Area = 2(50 + 30 + 15)

Surface Area = 2(95)

Surface Area = 190 cm²

Therefore, Chelsea needs at least 190 cm² of paper to cover the box.

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APA format was developed to create a uniform standard of writing.

APA format, which stands for the American Psychological Association format, was established to provide a standardized structure and style for writing scientific papers in the social sciences. It ensures consistency and uniformity in the presentation of research papers, allowing researchers to communicate their work effectively and facilitate the dissemination of knowledge. APA format includes guidelines for organizing the content, citing sources, formatting references, and presenting data. By following these guidelines, researchers can promote clarity, accuracy, and professionalism in their written work. The adoption of APA format helps maintain a common writing style across various disciplines, enhancing readability, facilitating comprehension, and ensuring that scholarly work adheres to established conventions.

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Answer:

ok, so forget the addition sign is there and because it's -2 do 9 - 2 which equals 7  there simple explanation

Step-by-step explanation:

hope this helps!

Let's determine the statement which is not a characteristic of the linear parent function.

The linear parent function has the form:

We have the graph below:

The function has the following properties:

• The line goes through the origin.

• It has a range of all real numbers

• It has a domain of all real numbers

• It has a slope of 1.#

Therefore, the statement which is not a characteristic of the linear parent function is:

• The range is positive real numbers (y > 0).

ANSWER:

• A. The range is positive real numbers (y> 0)

The original price of the wheelbarrow is £75

Let the original price be x.

From the question, the amount paid is:

Amount paid = 54

The reduced price is calculated as:

Reduced = Original price * (1 - discount)

This gives

x * (1- 20%) = 54

Evaluate the difference

x * 0.8 = 54

Divide by 0.8

x = 67.5

Hence, the original price is $67.5

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Complete question

The price of a wheelbarrow is reduced by 20%. During the sale, Carly pays $54 for a wheelbarrow. What was the original price?

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The correct answer is triangular pyramid.Because triangular pyramid has  4 triangular faces, 6 edges, and 4 vertices. At each of its vertices three edges,  come together.

The tetrahedron is a triangular pyramid having equilateral triangles for each of its faces. It is a polyhedron consists of triangular faces, straight edges, and vertex corners.All three lateral faces of a triangular pyramid share a vertex.

There are the following types of triangular pyramid.

Square pyramid is in which the base of the pyramid is a square.

Triangular pyramid is in which the base of the pyramid is a triangle.

Pentagonal pyramid is in which the base of the pyramid is a pentagon.

Right pyramid is in which the apex is exactly above the middle of the base.

Hence triangular pyramid is a correct answer for given edges,vertices and sides

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It will take 3.5 years for birr 168.40 to earn a simple interest of birr 29.47 at 5% per year.

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

Principal = 168.40

Rate = 5% = 0.05

Interest = 29.47

We can use the simple interest formula to solve this problem:

I = Prt

Where I is the interest earned, P is the principal amount, r is the annual interest rate as a decimal, and t is the time in years.

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

29.47 = 168.40 * 0.05 * t

So, we have

t = 29.47 / (168.40 * 0.05)

Evaluate

t = 3.5

Hence, the time is 3.5 years

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If wendy can build a fort in 12 hours, al can build the same fort in 8 hours, the time taken by Wendy and Al working together to build the fort is 24/5 hours

To solve this problem, we need to use the concept of work and time. Let's assume that the fort is the unit of work that needs to be completed, and the time required to complete this unit of work is the time taken by Wendy and Al working together.

Let's denote the time taken by Wendy to build the fort as TW and the time taken by Al to build the fort as TA. From the problem, we know that TW = 12 hours and TA = 8 hours.

Let's also denote the time taken by Wendy and Al working together to build the fort as T. We can use the formula:

Work = Rate x Time

where the rate is the amount of work done per unit time.

Let's assume that Wendy's rate of work is RW, and Al's rate of work is RA. Then the rate of work of both of them working together is the sum of their individual rates of work:

RW + RA = 1/T

We can also express their individual rates of work as the inverse of the time taken by them to complete the work:

RW = 1/TW

RA = 1/TA

Substituting these values in the above equation, we get:

1/TW + 1/TA = 1/T

Substituting the given values of TW and TA, we get:

1/12 + 1/8 = 1/T

Simplifying this equation, we get:

5/24 = 1/T

T = 24/5 hours

In other words, it would take them 4 and 4/5 hours to complete the work if they worked together.

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\(\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0\)

\(\\ \sf\longmapsto 8x-2+9-6x=0\)

\(\\ \sf\longmapsto 8x-6x-2+9=0\)

\(\\ \sf\longmapsto 2x+7=0\)

\(\\ \sf\longmapsto 2x=-7\)

\(\\ \sf\longmapsto x=\dfrac{-7}{2}\)

The three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.


Let's represent the first odd integer as x. Then, the next two consecutive odd integers would be x + 2 and x + 4.

According to the problem, the sum of these three consecutive odd integers is 147:

x + (x + 2) + (x + 4) = 147

We simplify and solve for x, which gives us the value of the first integer.

Simplifying and solving for x, we get:

3x + 6 = 147

3x = 141

x = 47

So the three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.

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Answer:

Step-by-step explanation:

The general formula is y=mx+b

Calculate the slope, m.

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

m=(3-5)/(1-2)

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

The slope is 2.

So plug that into the equation y=mx+b

y=2x+b.

Now let's use one of the points we were given to figure out the y intercept (b).

y=2x+b, plug in (1,3)

3=2(1)+b

3=2+b

1=b

So the intercept is 1.

Now we know the equation is y=2x+1.

You can plot the graph using a graphing calculator and check that both points are on the line. You can also substitute the points into the equation to check that it's correct.

The number of gigabytes Salma can use while staying in her budget is less than 4.

In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.

As per the given question;

The total budget of Salma is $75.

The flat cost is $55.

The cost per gigabytes is $5.

Let the number of gigabytes used be 'x'.

Then, the inequality becomes.

55 + 5x < 75

Subtracting 55 from both sides.

55 + 5x - 55 < 75  - 55

5x < 20

Divide both sides by the 5

x < 4

Thus, the number of  gigabytes Salma can use while staying in her budget is less than 4.

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Answer:

All pairs of corresponding sides are congruent

Step-by-step explanation:

∠A≅∠D

∠B≅∠E

∠C≅∠F

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!

Since we are giving the diameter (14) we must divide by 2 to find the radius.

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π \(7^{2}\) (9)

We have to distribute pi to 7 square that term and then multiply the value by 9.

V = 1385.44

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The product of the matrices ( 5 6 ) and ( 1 7 ) is equal to 47.

The number of columns in the first matrix must equal the number of rows in the second matrix in order for two matrices to be multiplied. In this instance, the 1x2 multiplied by 2x1 matrix satisfies this requirement.

In many disciplines, such as computer graphics, physics, and engineering, matrix multiplication is a key idea in linear algebra. It can be used to transform data, determine eigenvalues and eigenvectors, and solve systems of linear equations.

To get the product of two matrices, we need to perform the dot product of each row in the first matrix with each column in the second matrix.

Given the matrices ( 5 6 ) and ( 1 7 ), we can perform the dot product as follows:

( 5 6 ) ( 1 7 ) = ( (5)(1) + (6)(7) )

= (5 + 42)

= 47

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Answer:

230000.

Step-by-step explanation:

Answer:

Step-by-step explanation:

After calculating the rate at which water is being filled in Tank A and the rate at which water is being leaked from Tank B, it can be determined that both tanks will hold the same amount of water after 4 hours. Therefore, the correct answer is option a) 4 hours.

Answer:

9

Step-by-step explanation:

-77+5=-72

-72 divided by -8 = 9