a pyrmid has a height of 5 in. and a surface area of 90 in square. find the surface area of a similar pyramid with a height of 10 in. round to the nearest tenth, if necessary

Answer:

Step-by-step explanation:

Ms. Sanchez is planning two projects for her student’s final assignment. Each student will have an equal chance of selecting Project A or Project B. Ms. Sanchez flips a coin to represent each student’s choice, with heads representing Project A and tails representing Project B. After 110 trials, there are 58 heads and 52 tails.

To the nearest percent, what is the experimental probability of Project B?

The experimental probability of Project A is 0.53.

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given that there are two projects, Project A and Project B.

A student has to choose one out of the two projects and, the student's choice is represented by the flip of a coin where heads representing Project A and tails representing Project B.

Head's = Project A

Tail's = Project B

Total number of trials = 110

Number of heads in the trials = 58 heads

Number of tails in the trials = 52 tails

For finding out the experimental probability of Project A:

= Number of favorable outcomes / Total number of trials

Number of favorable outcomes = Number of heads

= Number of heads / Total number of trials

= 58 / 110

= 0.53 (approx)

The experimental probability of Project A is 0.53.

Hence, The experimental probability of Project A is 0.53.

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Solving a linear equation we can see that the answer is 40 months.

We know that company A only charges $70 per month, so the cost in dollars after x months is given by the linear equation:

A(x) = 70*x

For company B you need to pay $50 per month plus the $500 phone, so here the cost is:

B(x) =500 + 50*x

We want to find for what value of x we have B(x) = A(x), then we needto solve:

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20

x = 40

After 40 months the cost will be the same one than in company A.

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the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Why it is and what is financial literacy?

The expression to find the total cost of 4 nonmember tickets and 2 member tickets would be:

4($24) + 2($10)

This expression represents the cost of 4 nonmember tickets at $24 each, and 2 member tickets at $10 each.

To find the total cost, we simply need to evaluate this expression using basic arithmetic:

4($24) + 2($10) = $96 + $20 = $116

Therefore, the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Financial literacy is the knowledge and skills required to manage one's personal finances effectively. It encompasses a range of topics, including budgeting, saving, investing, managing debt, understanding financial products such as credit cards and loans, and planning for retirement. Financial literacy also involves an understanding of financial concepts such as interest rates, inflation, and risk management.

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The sample size required is 182 families should be interviewed.

To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.

Sample size formula: n = (Z² * s²) / E²

The formula for the degree of confidence: Z = 2.576

Sample size formula: n = (Z² * s²) / E²

Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.

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Answer:

25%

Step-by-step explanation:

30/120 = 1/4

1/4 = 25%

By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.

A circle in mathematics is a closed form in which every point is situated at an equal distance from the circle's center. The radius of the circle is the distance measured from any location on the circle to its center. The center and radius of a circle, as well as its equation in the coordinate plane, can be used to characterize it. The standard version of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's center and r is its radius.

given

Using the methods below, we can graph the circle x2+(y+6)2=4:

Determine the circle's radius: Since r2 = 4 in the provided equation, r must equal 2.

Plotting locations on the circle can be done by using the equation x2+(y+6)2=4 and changing the value of x to find the value of y. As an illustration, if x = 0, we obtain (y+6)2 = 4, which gives us either y = -8 or y = -4. The points (0, -8) and (0, -4) can now be plotted on the coordinate surface.

Create a circle: Using the radius and center, we can create a circle that passes through the plotted coordinates (0, -8) and (0, -4).

By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.

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The width of the rectangle is 5 meters.

To find the width of the rectangle, let's use the formula for the area of a rectangle, which is:

Area = length x width

We know that the area of the rectangle is 65 square meters. We also know that the length of the rectangle is 8 meters more than the width. Let's call the width "w". Then, the length can be expressed as:

length = w + 8

Substituting this expression for length into the formula for the area, we get:

65 = (w + 8) x w

Simplifying and solving for w, we get:

w² + 8w - 65 = 0

Using the quadratic formula, we get:

w = (-8 ± √(8² + 4(1)(65))) / (2(1))

w = (-8 ± √(324)) / 2

w = (-8 ± 18) / 2

We take the positive value for w since the width cannot be negative:

w = (-8 + 18) / 2

w = 5

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Patrick's goal will reached by 30.7 hours

The inequality is 163 + (10x) > 470

Let's use x to represent the number of hours it will take to reach Patrick's goal.

First step: The total number of chandeliers made must be greater than 470.

163 + (10x) > 470

Second step: Solve for x by isolating it on one side of the inequality.

10x > 307

x > 30.7

Therefore, it will take more than 30.7 hours to reach Patrick's goal of making greater than 470 chandeliers.

The inequality can be written as: 163 + (10x) > 470

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Answer:

13,161.5

Step-by-step explanation:

5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5

Answer:

a two-dimension surface formed by two number lines.

The width of the bookshelf will be 6 inches when the area and length are 216 in and  36 inches.

What is the width?

Width is a dimension of a geometrical figure that tells about the structure of the figure. In general, width is used to measure the object.

What is formulae of width?

Width is obtained by dividing area and length.

                               W=A/L

substitute values, 216/36= 6inches.

The width is gonna be 6 because all you have to do is divide 216 and 36

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The garden would require 84 plants, which is the same number of plants as the garden's surface area.

The area of the garden can be determined using the formulas below if it is shaped like a right triangle and has sides that are 7 and 24 yards long.

Area of the garden = (1/2) x Base x Height

Area of the garden = (1/2) x 7 x 24

Area of the garden = 84 square yards

Since there is one square yard of area for each plant, the number of plants needed for the garden would be equal to the area of the garden, which is 84 plants.

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a) Mean time between counts is 0.3333 minutes.

b) Standard deviation of time between counts is 0.5774 minutes.

a. Mean time between counts: The mean time between counts can be computed as the inverse of the Poisson rate parameter (λ): Mean time between counts = 1/λ.

The average of 3 counts per minute is the same as the rate parameter λ in a Poisson process. Thus, the mean time between counts is: Mean time between counts = 1/λ = 1/3 = 0.3333 minutes (20 seconds approximately).

b. Standard deviation of the time between counts: The standard deviation of a Poisson process is equal to the square root of the mean.

Therefore, the standard deviation of the time between counts can be calculated as follows: Standard deviation of time between counts = sqrt(mean) = sqrt(1/λ) = sqrt(1/3) = 0.5774 minutes (approximately 35 seconds).

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Answer:

x= 2

Step-by-step explanation:

² means times the number itself 2 times.

2×2=4

The equation in slope- intercept form is y = x - 1/5

It is important to note that the expression representing the equation of a line in slope- intercept form is written as;

y = mx + c

Such that the parameters are;

collect the variables and constants, we have;

- y = 1/5 - x

reconstruct the expression

- y = -x + 1/5

Divide both sides by the coefficient of y , we have;

y = x - 1/5

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The study described in the question is a randomized crossover trial, where each participant serves as their own control by receiving both treatments  in a randomized order

In a matched pairs experiment, each subject is paired with another subject who is similar in some relevant characteristic, and one subject receives the treatment while the other serves as a control. The two subjects in each pair are matched on this characteristic to reduce the effect of confounding variables.

In contrast, a randomized crossover trial is a type of experiment in which each participant receives both treatments (in this case, canned soup and fresh soup) in a randomized order, with a washout period between the treatments to minimize carryover effects. In this study, the participants were randomly assigned to either start with canned soup or fresh soup and then switched to the other treatment after a two-day break. Each participant thus serves as their own control, and the difference in outcome between the two treatments is compared within each individual.

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The given question is incomplete, the complete question is:

Bisphenol A in Your Soup Cans Bisphenol A (BPA) is in the lining of most canned goods, and recent studies have shown a positive association between BPA exposure and behavior and health problems. How much does canned soup consumption increase urinary BPA concentration? That was the question addressed in a recent study1 in which consumption of canned soup over five days was associated with a more than 1000 % increase in urinary BPA. In the study, 75 participants ate either canned soup or fresh soup for lunch for five days. On the fifth day, urinary BPA levels were measured. After a two-day break, the participants switched groups and repeated the process. The difference in BPA levels between the two treatments was measured for each participant. The study reports that a 95 % confidence interval for the difference in means (canned minus fresh) is 19.6 to 25.5 ?g/L. 1Carwile, J., Ye, X., Zhou, X., Calafat, A., and Michels, K., ‘‘Canned Soup Consumption and Urinary Bisphenol A: A Randomized Crossover Trial,” Journal of the American Medical Association, 2011; 306(20): 2218–2220.Is this a randomized comparative experiment or a matched pairs experiment?

The total number of t-shirts principal ordered in $1520 for the school store is given 214.

Let us consider the number of t-shirts the principal ordered be equal to 'x'.

The cost of each t-shirt is equal to $7.

⇒ The total cost of 'x' t-shirts =  7x dollars.

Shipping cost is a flat rate for any order, regardless of the number of t-shirts =  $22

Total cost of the order (including shipping) =  $1520.

Required equation is equal to,

7x + 22 = 1520

Subtract 22 from both sides of the equation we get,

⇒ 7x = 1498

Divide both sides of the equation by 7 we get,

⇒ x = 214

Therefore, the number of t-shirts ordered by  principal for the school store is equal to  214.

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In a direct proof of the theorem "if r and s are rational numbers, then the product of r and s is a rational number," the following assumptions or facts are typically used:

Using these facts, a direct proof of the theorem can be constructed by assuming that r and s are rational numbers and then showing that their product is also a rational number. Specifically, we can express r and s as fractions with integer numerators and denominators, multiply their numerators together to obtain the numerator of the product.

Since the numerator and denominator of the product are both integers, and the denominator is nonzero, the product is a rational number.

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According to Pythagorean Theorem, The length of the horizontal portion of the support, x, is 3.87 feet.

The length of the horizontal portion of the support, x, can be determined by using the Pythagorean Theorem. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of a right triangle and c is the hypotenuse.

In this case, a = 7 feet, b = x, and c = 8 feet. We can use the Pythagorean Theorem to solve for x: 72 + x2 = 82, or 49 + x2 = 64. This can be solved for x to get x2 = 15 and x = √15 ≈ 3.87 feet.

Therefore, the length of the horizontal portion of the support, x, is 3.87 feet.

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Johnny has 1258 more pineapples than Bobby.

Bobby has 37 pineapples, Johnny has 35 times more pineapples than Bobby. To find how many more pineapples does Johnny have than Bobby, we can use the below formula,

More pineapples = Johnny's pineapples - Bobby's pineapples

Let x be the number of pineapples that Bobby has. Therefore, the number of pineapples owned by Johnny is 35x.

It is given that Bobby originally has 37 pineapples, thus x = 37. The number of pineapples Johnny has = 35*37 = 1295

Thus, difference in number of pineapples between Johnny and Bobby:

=1295-37 = 1258

Therefore, Johnny has 1258 more pineapples than Bobby.

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Answer: Stocks

Step-by-step explanation: People mainly live on wim's so stocks at times can be unpredictable.

Answer:

(-2,-3)  

Step-by-step explanation:

3x+y=-9                      

-3x    -3x

y=-3x-9

5x-3(-3x-9)=-1

14x+ 27= -1

-27      -27

14x= -28

/14    /14

x=-2

plug in x    

3(-2)+y=-9  

    -6+y=-9

     +6    +6

          y=-3

The vertical distance between (2, 11/3) and (2, -4/3) is -5 units.

The distance formula is a mathematical equation used to find the distance between two points in a plane. It is derived from the Pythagorean theorem and is expressed as:

d = √((x₂- x₁)²+ (y₂ - y₁)²)

The distance formula can also be extended to three-dimensional space by adding an additional term to the equation.

The two points (2, 11/3) and (2, -4/3) have the same x-coordinate, which means they lie on a vertical line. To find the vertical distance between these two points, we simply subtract their y-coordinates:

Vertical distance = (y-coordinate of second point) - (y-coordinate of first point)

= (-4/3) - (11/3)

= -15/3

= -5

Therefore, the vertical distance between (2, 11/3) and (2, -4/3) is -5 units. Since this is a negative value, it means that the second point is located 5 units below the first point.

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Answer:

bar chart

Step-by-step explanation:

you are right box plot, histogram and a circle graph aren't the right ones

A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.

Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.

Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.

Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.

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The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters

The shape of a semi-elliptical arch can be described by the equation:

y = c * sqrt(1 - (x/a)^2)

where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.

In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.

Substituting these values into the equation, we get:

y = 2 * sqrt(1 - (1.5/3)^2)

y = 2 * sqrt(1 - 0.25)

y = 2 * sqrt(0.75)

y = 2 * 0.866

y = 1.732

Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D

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Your question is incomplete, but probably the complete question is :

A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.

A.   1.41 m C.   1.56 m

B.   1.63 m D.   1.73 m

Answer:

11.52 feet

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.

We can rearrange the formula to solve for the radius:

r = (3V/4π)^(1/3)

Substituting the given volume V = 7,234.56 ft³, we get:

r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft

Therefore, the radius of the sphere is approximately 11.52 feet.

Valerie paid a total amount of $124 this year for her movie club membership and the 14 movies she rented.

In math, the total amount typically refers to the final sum or result of a calculation involving multiple numbers or quantities.

Valerie pays a fixed fee of $40 annually, and she rented 14 movies at a cost of $6 each. Thus, the total amount she paid this year can be calculated as follows:

Total cost of movie rentals = 14 x $6 = $84

Adding the fixed annual fee to the rental costs:

Total amount paid by Valerie this year = $40 + $84 = $124

Therefore, Valerie paid a total of $124 this year for her movie club membership and the 14 movies she rented.

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According to the information, the distance between Daytona beach and Orlando would be 52 miles.

To calculate the distance from Daytona beach to Orlando we must perform the following rule of three mathematical procedure:

1. In this case, we must consider the procedure like this:

If one unit is equal to 26 miles, how many miles are 2 units equal to?

So, we can conclude that the distance between Orlando and Baytona beach is 52 miles.

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