Evan bought 7 books on sale for 45.50 the regular price of the 7 books 57.75 how much did evan save per books buying them on salw

The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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Answer:

cant help you i dont one suck

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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Answer:

19, 22

Step-by-step explanation:

Because this is an arithmetic sequence, we know there is a constant difference between each value.

To find that difference, lets take two consecutive values, (10 and 13) and subtract them.

13 - 10 = 3

We see the same number if we used

16 - 13 = 3

So the pattern here, is each number + 3.

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

etc.

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Answer:

7,750 ways

Step-by-step explanation:

To determine the number of ways that 2 people can be chosen to receive the free tickets, we need to use combinations because the order of the selection does not matter.

The number of ways to choose 2 people out of 125 can be calculated using the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people we want to choose.

In this case, n = 125 and r = 2, so we have:

125 C 2 = 125! / (2! * (125-2)!)

= 125! / (2! * 123!)

= (125 * 124) / 2

= 7750

Therefore, there are 7,750 ways that 2 people can be chosen to receive the free tickets.

Answer:

there are 83 percent of books

There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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The given expression is,

10639/500+22

According to

Answer:

2 3/7

Explanation:

Given that 7 people share 17 muffins.

To get how many muffins each person gets, divide the total number of muffins by the number of people.

Each person gets 2 3/7 muffins.

The second option is correct.

Paired sample data may include one or more​ influential points, which are points that strongly affect the graph of the regression line.

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The assumption that the CAL will be on the first available CAT date is a common misconception among many individuals.

The actual CAT date for the CAL varies depending on several factors such as availability, testing center location, and scheduling. The CAL is a standardized test designed to measure a student's cognitive abilities and readiness for college-level coursework. The test comprises various sections, including critical reading, mathematics, and writing skills.

The scores from the test can help colleges and universities make informed decisions about students' readiness to pursue a college degree. Therefore, it is essential to understand the actual CAT date for the CAL and plan accordingly to ensure you have enough time to prepare and review your test results before applying to college.

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Answer:

7 1/4

Step-by-step explanation:

Multiply the denominator of 1/2 to equal the denominator of 3/4.

3/4 + 2/4 = 1 1/4.

4 + 2 = 6.

6 + 1 1/4 = 7 1/4.

There are 70 ways to split 8 people into two teams of 4. There are 1680 ways to split 9 people into 3 teams of 3. There are 945 ways to choose 2 teams of 4 from 10 prospects.

To find the number of ways to split 8 people into two teams of 4, we can first choose the first team in $\binom{8}{4} = 70$ ways, and the second team will be the remaining 4 people.

To split 9 people into 3 teams of 3, we can first choose the first team in $\binom{9}{3} = 84$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{3} = 20$ ways. The final team will be the remaining 3 people.

To choose 2 teams of 4 from 10 prospects, we can first choose the first team in $\binom{10}{4} = 210$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{4} = 15$ ways. However, since the order in which we choose the two teams does not matter, we must divide by 2 to get the final answer of $\frac{210 \cdot 15}{2} = 945$.

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Answer:

18k + 22p -10

Step-by-step explanation:

The solution is Option B

The equation to represent the total cost for Mr.Thompson to rent a kayak for k hours and paddle board for p hours is A = 18k + 22p - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of renting a kayak per hour be = $ 18

Let the number of hours of renting the kayak be = h

Let the cost of renting a paddle board per hour be = $ 22

Let the number of hours of renting the paddle board be = p

Let the discount of cost as coupon = $ 10

Now , the total cost of renting at Cycle and Sports for Mr. Thompson A =
( cost of renting a kayak per hour x number of hours of renting the kayak ) +
( cost of renting a paddle board per hour x number of hours of renting the paddle board ) -  discount of cost as coupon

Substituting the values in the equation , we get

Total cost for Mr.Thompson to rent a kayak for k hours and paddle board for p hours A = 18h + 22p - 10

Therefore , the value of A is 18h + 22p - 10

Hence , the equation for total cost is A = 18h + 22p - 10

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With x = 9 and y = 9, the minimum value of q is 729.

We have,

The concept used to solve the problem is substitution.

By substituting the given values of x and y into the function

\(q = 6x^2 + 3y^2\), we can evaluate the expression and find the minimum value.

Substitution allows us to replace the variables with their specific values and simplify the equation to obtain the result.

To minimize the function q = \(6x^2 + 3y^2\) with the constraint x = 9 and y = 9, we substitute the given values into the function.

Substituting x = 9 and y = 9 into q, we have:

\(q = 6(9)^2 + 3(9)^2\)

= 6(81) + 3(81)

= 486 + 243

= 729

Therefore,

With x = 9 and y = 9, the minimum value of q is 729.

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Answer:

1, 2, 7, and 14

Step-by-step explanation:

factors of 14 : 1, 2, 7, and 14

factors of 28 : 1, 2, 4, 7, 14, and 28

so then common factors between 14 and 28 are 1, 2, 7, and 14

Answer:

B

Step-by-step explanation:

The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent

in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent

So

JB congruent to FC

The slope is 0.6

The answer is taken by solving from the graph

We will have the following:

When the rectangular solid is normal, the measurement can be set as side "a", side "b", and side "c" [With these 3 measurements we can construct a rectangular solid]. So, the volume would be given by:

Now, if we were to double each dimension [ie side "2a", side "2b" & side "2c"] we would have that the volume would be given by:

So, the volume would have increased by a factor of 8, while the sides increased by a factor of 2.

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Permutation:

Permutations are different ways of arranging objects in a particular order. This can also be expressed as rearranging the elements in linear order of an already ordered set. The symbol are used to denote the number of permutations of n distinct objects obtained for each r. Block bus, train and plane timetables, postcode and phone number assignments. These are some situations where permutations are used.

Example: There are 5 chairs and 3 people need to sit on them. There are 5 ways to place the first person. 2nd person 4 seats, 3rd person 3 seats. So to find the number of ways to place her 3 on 5 chairs, multiply these ways. Make 5×4×3 streets. So we can do it 60 ways. 5 × 4 × 3 is written as (5!) / (2!) (or) (5!) / (5 - 3).

A combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike a permutation). For example, if he is given three fruits, such as apples, oranges, and pears, he has three binary combinations that he can draw from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members.

According to the Question:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

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Answer:

x = 35°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

The little square in the corner of one angle means that is a right angle and is 90°.

90° + 55° + x = 180°

145° + x = 180°

Subtract 145° from both sides.

x = 180° - 145°

x = 35°

Answer:

1,000

Step-by-step explanation:20*50

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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The Length of the base would be approximately 6.67 inches.

(a) To calculate the area of one of the triangles formed by connecting the center to a vertex of the pentagon, we can use the formula: Area = (1/2) * base * height. Given that the base is 10 inches and the height is 8 inches, the area of each triangle is (1/2) * 10 * 8 = 40 square inches.

(b) To determine the perimeter of the pentagon, we need to find the length of one side and multiply it by the number of sides. In a regular pentagon, all sides are equal. Let's denote the length of one side as "s." Since the distance from the center to a vertex is 6 inches, it is equal to one side of the pentagon. Therefore, the perimeter of the pentagon is 6 * 5 = 30 inches.

(c) If Stephan wants to create a larger regular pentagon with a height of 12 inches for each triangle, we can use the formula for the area of a triangle to find the length of the base. Given that the height is 12 inches and the area of each triangle is 40 square inches (from part a), we can rearrange the formula to solve for the base: base = (2 * Area) / height. Substituting the values, we get base = (2 * 40) / 12 = 80/12 = 6.67 inches (rounded to the nearest hundredth). Therefore, the length of the base would be approximately 6.67 inches.

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Note the full question may be :

Stephan is working on a geometry project and discovers a regular pentagon. He measures the distance from the center of the pentagon to any of its vertices and finds it to be 6 inches. He then draws a line from the center to each vertex and notices that all the triangles formed have a height of 8 inches and a base of 10 inches.

(a) Calculate the area of one of the triangles formed by connecting the center to a vertex of the pentagon.

(b) Determine the perimeter of the pentagon.

(c) If Stephan wants to create a larger regular pentagon with a height of 12 inches for each triangle, what would be the length of the base?

Step-by-step explanation:

I cannot draw here.

but the only problem might be to understand the key word : perpendicular.

it means the resulting line is crossing our touching the original line with a right (90 degree) angle.

that is all that is to it.

oh, and a bisector is a line crossing or touching the original line right in the middle of the original line.

I am sure you have rulers that provide right angles when drawing a line, and that allows you to measure the length of a line and so find is middle.

or do you really need to "construct" this ? in the sense of using also a compass and drawing cycles that cross each other and then you connect the crossing points with a line ?

if that is the case :

you can "construct" a right-angled line in the middle between 2 points by drawing a circle for each point. the center of a circle is one point, and the radius is the distance to the other point.

so, both circles go through the other point. and where the 2 circles cross each other (there are 2 crossing points) mark these points, and then connect them.

and there you go, you have a line in a right angle to the original line that goes through the middle of the original line.

so, for problem 1 define 2 points on either side of B with the same distance to B.

then follow the described process for these 2 points.

for problem 2 you need to double the line AB out to the left of A, and then again to the right of B. you can do that by drawing the 2 circles in A and in B, and then extend AB to both sides until the line touches the circles.

now you have 2 points left and right of A (one of them is B) to use the procedure for the perpendicular line through A. and then again 2 points left and right of B (one of them is A) to use the procedure for B.

for problem 3 you use the procedure with the end points of each of the 3 lines, giving you 3 perpendicular lines through the middle of their corresponding original lines. and you make them long enough that all 3 lines meet inside the triangle.

16 kilograms is equal to approximately 35.28 pounds.


1 kilogram = 2.205 pounds.

Therefore, 16 kilograms is equal to 2.205×16= 35.28 pounds.

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16 kilograms is equivalent to 35.2752 pounds.

When we talk about weight, it's common to use two different units of measurement: kilograms (kg) and pounds (lbs). Both are used to measure the amount of mass an object has, but they use different numbers to represent the same thing. So, it's important to know how to convert between the two units.

To convert 16 kilograms to pounds, we use the conversion factor 1 kilogram = 2.20462 pounds. This means that for every kilogram, there are 2.20462 pounds. To find the equivalent weight in pounds, we multiply 16 kilograms by the conversion factor:

16 kg * 2.20462 lbs/kg = 35.2752 lbs

This means that an object with a mass of 16 kilograms would weigh 35.2752 pounds.

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Based on the number line, it appears that Sandy simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, which equals 18, and four jumps of size 2, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy used a number line to simplify a numerical expression, and based on the number line, she appears to have simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, representing the first part of the expression, which equals 18. The number line also shows four jumps of size 2, representing the second part of the expression, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy simplified the expression (6 × 3) + (4 × 2) - 5 using a number line, and the answer based on the number line is 21.

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