find the length of the diagonal of the box below. Round to the nearest hundredth (you have to do pythagorean theorem twice)

So, option (a), a sample size of 700, should be chosen in order to attain a margin of error of no more than 2.5% with 90% confidence.

The statistical concept of margin of error describes the range in which the real value of a population parameter is assumed to lie based on a sample. The degree of uncertainty or error related to a specific sample size and confidence level is given as a plus or negative percentage or number. The genuine percentage of support in the population as a whole is assessed to be between 47% and 53% with 95% confidence, for instance, if a pollster surveys 1,000 individuals and finds that 50% of them favor a certain political candidate with a margin of error of 3%.

given

We can use the following formula to get the sample size required for a specified margin of error with a particular level of confidence:

[tex]n = (Z^2 * p * q) / E^2[/tex]

When we enter the values, we obtain:

[tex]n = (1.645^2 * 0.73 * 0.27) / 0.025^2[/tex]

n ≈ 643.71

We should round up to the nearest choice, which is 700, because the sample size must be an integer.

So, option (a), a sample size of 700, should be chosen in order to attain a margin of error of no more than 2.5% with 90% confidence.

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The complete question is:-   Based on earlier studies, it is believed that the proportion of California high school students favoring a four-day school week (8:00 am to 4:30 pm) is 73%. You plan on doing a follow up study. Money is a concern in your study, so you cannot afford to be conservative with your approach. A professional polling company offers to perform the survey for you, and show you the following sample size options. The larger the sample size, the more expensive the survey will be. Which size will you choose if you want a margin of error of no more than ± 2.5% with 90% confidence?

a. 700

b. 800

C. 900

d. 1,000

e. 1,100

Answer: The best measure of center for skewed data is the median, which is not affected by extreme values. From the given box plot, we can see that the line in the box is at 10, which is also the center of the box. Therefore, the median is the best measure of center, and its value is 10. So the correct answer is:

The median is the best measure of center and equals 10.

Step-by-step explanation:

Answer:

The answer is option D.

The median is the best measure of center and equals 10.

Step-by-step explanation:

Your welcome :) :)

Answer: The answer is E, or ≠.

Step-by-step explanation:

The symbol (≠) indicates that a number does not equal the other number. The correct option is E.

I hope this helped! A brainilist is appreciated and helpful! <3

It is the first option 4, 17, and 23

There is a rule of sides in a triangle that states "the sum of the lengths of two sides is always greater than the third side"

so how you would solve this is by process of elimination. Add two lengths from each number set to see if they follow the rule.

When you do this, all of the number sets follow the rule except for the first one, because 4 plus 17 is 21, and it is less than 23. This means it does not follow the rule.

Hope this helps :)

According to the solution we have come to find that, There are 50 gallons of water in the tank after 15 minutes.

what is calculus?

Calculus is a branch of mathematics that deals with rates of change and how things change over time. It has two main branches: differential calculus and integral calculus.

Differential calculus deals with instantaneous rates of change and how things change at a particular moment or instant. It involves concepts such as derivatives, limits, and rates of change.

Integral calculus deals with the accumulation of quantities and how things add up over time. It involves concepts such as integrals, area under a curve, and accumulation of volumes.

a. To calculate the rate of change, we need to find the slope of the line connecting the two given points on the table. Using the formula for slope, we get:

slope = (change in y) / (change in x)

slope = (70 - 90) / (6 - 3)

slope = -20 / 3

Expressing the slope as a ratio, we get:

rate of change = -20/3

b. The rate of change is negative, indicating that the amount of water in the tank is decreasing over time. Water is leaving the tank. We know this because the slope of the line is negative, meaning that as time goes on, the amount of water in the tank is decreasing at a constant rate.

c. To find the amount of water in the tank after 15 minutes, we need to first find the equation of the line that passes through the two given points. Using the point-slope form of the equation of a line, we get:

y - 90 = (-20/3)(x - 3)

Simplifying, we get:

y = (-20/3)x + 110

Now we can substitute x = 15 to find the amount of water in the tank after 15 minutes:

y = (-20/3)(15) + 110

y = 50

Therefore, there are 50 gallons of water in the tank after 15 minutes.

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Answer:

a.) P(x)= 4x - 1240

b.) make $1,560 profit in 1 week by selling 700 calculators

Step-by-step explanation:

a.) P(x)=R(x)-C(x)

R(x)=13x; C(x)=9x + 1240   assuming they are asking for profit in a week

P(x)= 4x - 1240

b.) P(700) = 4(700) -1240 = 1560

The area of the shaded portion was estimated to be around 400 square feet, so 400 square feet were covered in sod.

The shaded portion of the garden was estimated to be around 400 square feet. To cover this area with sod, the soil was prepared by removing any existing vegetation, rocks, and debris. The soil was then leveled and covered with a layer of fertilizer. After that, the sod was laid on top of the soil, with the roots facing down. The sod was then watered and rolled to ensure the sod was securely attached to the ground. The entire process of sodding the garden was completed in 400 square feet, providing an even layer of grass for the area. This will help to keep the garden beautiful and healthy for years to come.

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Answer:

[tex]2x-5\leq 24[/tex]

Step-by-step explanation:

You figure this out you need to look for keywords. The difference means subtracting and less than or equal to creates [tex]\leq[/tex]. So twice a number, we will call x can be represented by [tex]2x[/tex]. The word difference can be represented by [tex]-[/tex] and less than or equal to 24 can be represented by [tex]\leq 24[/tex]. Combine all these hints into an equation and you get [tex]2x-5\leq 24[/tex]

If the number of school districts in Indiana were proportional to the number of school districts in Illinois, we would expect to see 440 school districts in Indiana.

Ratios are used to compare different parts of a whole, to compare different amounts of something, or to compare different measurements of the same thing.

The expected number of school districts in Indiana can be calculated by using the population of the two states.

We know that Illinois has 859 school districts and 12.9 million people, and Indiana has 295 school districts and 6.6 million people.

To determine how many school districts we would expect to see in Indiana if they were proportional to the number in Illinois, we can set up a proportion:

⇒number of school districts in Indiana/number of school districts in Illinois = population of Indiana/population of Illinois

⇒number of school districts in Illinois/number of school districts in Indiana = population of Illinois/population of Indiana

We can rearrange this proportion to solve for the number of school districts in Indiana:

⇒number of school districts in Indiana/number of school districts in Illinois = population of Indiana/population of Illinois

⇒number of school districts in Illinois/number of school districts in Indiana = population of Illinois/population of Indiana

Substituting the given values, we have:

number of school districts in Indiana =

6.6/12.9×859 ≈ 440

number of school districts in Indiana=

12.9 /6.6 ×859≈440

Rounding this to the nearest whole number, we would expect to see about 440 school districts in Indiana if they were proportional to the number in Illinois.

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Answer:

D is the correct option.

Step-by-step explanation:

y = x^2 -14x + 39    

   take 1/2 of the x coefficient (-14)   square it then add it and subtract it  :

x^2 - 14x + 49    - 49    + 39        Now reduce the three Left terms

(x-7)^2   - 49 +39       simplify the R portion

y = (x-7)^2 - 10             This process is called 'completing the square'        

Answer:

Step-by-step explanation:

You want a graph and the x-intercept of the line through (-3, 4) with y-intercept 1.

The slope formula gives you the slope you can use with the slope-intercept equation.

  m = (y2 -y1)/(x2 -x1)

One point is given as (-3, 4). The y-intercept is (0, 1), so the slope is ...

  m = (1 -4)/(0 -(-3)) = -3/3 = -1

Then the equation for the line is ...

  y = mx +b

  y = -1x +1

  y = -x +1 . . . . simplify

The x-intercept is the point that has y-coordinate 0:

  0 = -x +1

  x = 1 . . . . . . add x

The line crosses the x-axis at x

Attribution theory provides a description of how people explain the causes of their own and others' behaviors. Option d is the correct choice.

The theory referred to in the question is attribution theory. Attribution theory explains how people make inferences about the causes of behaviors, events, or outcomes. It suggests that people usually make two types of attributions: dispositional (internal) and situational (external). Dispositional attributions refer to explanations based on the person's traits or characteristics, while situational attributions refer to explanations based on external factors or circumstances.

Attribution theory also describes how people make judgments about their own behavior and that of others. In summary, attribution theory is a social psychology theory that helps to understand how people explain the causes of behavior. Hence option d is correct.

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--The complete question is, ____________________ theory provides a description of how people explain the causes of their own and others' behaviors.

a. dispositional

b. causal

c. identification

d. attribution

e. implicit

f. personality--

This cathedral's ceiling features a standard octagon with a 64-foot diameter and a 10.5-foot radius. The apothem is roughly 9.7 feet long, while the normal octagon is roughly 310.8 square feet in size.

The perimeter of the octagon is the sum of the lengths of its sides, so each side has a length of 64/8 = 8 feet.

Draw a line from the centre of the octagon to the midpoint of one of its sides. This line segment is the apothem, which is also the radius of a triangle formed by two consecutive vertices and the centre of the octagon. This triangle is an isosceles triangle, with a base length of 8 and apothem 10.5. We may get the triangle's height using the Pythagorean theorem:

[tex]height^2 = \frac{apothem^2 - base^2}{4}[/tex]

[tex]height^2 = \frac{10.5^2 - 8^2}{4}[/tex]

[tex]height^2[/tex] = [tex]\frac{110.25 - 64}{4}[/tex]

[tex]height^2[/tex] ≈ [tex]\frac{46.25}{4}[/tex]

[tex]height[/tex] ≈ 9.7

So the length of the apothem is approximately 9.7 feet.

The area of the octagon is given by the formula A = (1/2)ap, where a is the apothem and p is the perimeter. With our current values substituted, we obtain:

A =(1/2)×9.7×64

A ≈310.8

A ≈310.8 [tex]ft^2[/tex]

So the area of the regular octagon is approximately 310.8 square feet.

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This should output: The value of the car in 2025 will be $11730.3 which function means that the value of the car in 2025 will be approximately $11,730.30.

A function appears to be a hyperlink between two sets of numbers in mathematics, where each member of the first set (referred as the domain) corresponds to a certain representative of the second set (called the range). In other utterance, a function takes input from a set and produces output by another. Inputs are frequently represented by the variable x, and outputs are represented by the variable y. A function can be represented by a formula or a graph. The method y = 2x + 1 is an example of a conceptual model in which each value assigned to x yields a value of y.

To calculate the value of the car in 2025, we need to determine the value of the car after each year of depreciation from 2020 to 2025. We can represent this situation using the following function:

[tex]value = 25000 * (0.86 ** years)\\ return value\\value_2025 = car_value(5)\\print("The value of the car in 2025 will be $" + str(round(value_2025, 2)))\\[/tex]

This should output: The value of the car in 2025 will be $11730.3 which means that the value of the car in 2025 will be approximately $11,730.30.

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Answer: 1=53,2=96,0=100,2=70

Step-by-step explanation: Pretty easy there Parrell lines which equals 180 in angles so for example the first one is a corresponding angle cause 53 on angle A is the same on angle B

Second one equation to find this answer is 180-84=96

You'll learn the rest soon I hope this helps

The price of the watch before the discount was £25.

A percentage expresses a number as a fraction of 100. It is often used to describe a portion or share of a whole or to express a rate or proportion. Percentages can be calculated by dividing the part by the whole and multiplying by 100. Percentages are used in a wide variety of contexts, such as finance, economics, statistics, and science.

Jasοn bοught a watch and a pair οf trainers fοr a tοtal price οf £53.55.

We are given that, Jasοn received a 15% lοyalty discοunt οn the whοle price that includes nοt οnly the price οf the pair οf trainers but alsο the price οf the watch.

Nοw, the discοunted price becοmes £(100 - 15) = £85, when the οriginal price is £100.

Then, the discοunted price becοmes £1, when the οriginal price is

= [tex]$\£ \frac{100}{85}[/tex]

Then, the discοunted price becοmes £53.55, when the οriginal price is  

[tex]$\frac{100}{85} \times 53.55 = \£ 63[/tex]

Nοw, we are given that, the trainers were priced at £38.

This means that the price οf the watch befοre the discοunt is,

£(63 - 38) = £25.

Hence, the price οf the watch befοre the discοunt is £25.

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Answer:

  3.00%

Step-by-step explanation:

You want the interest rate that will make an $8000 deposit achieve a value of $9571.31 in 6 years when interest is compounded quarterly.

The compound interest formula can be solved for the interest rate when other values are known:

  A = P(1 +r/n)^(nt) . . . . . . . interest at rate r compounded n times per year

  9571.31 = 8000(1 +r/4)^(4·6) . . . . fill in known values

  (9571.31/8000)^(1/24) = 1 +r/4

  1 +r/4 ≈ 1.0075000

  r ≈ 0.0075000 × 4 ≈ 3.00%

The interest rate is 3.00%.

__

Additional comment

A financial calculator, app, or spreadsheet can find this for you.

Answer:

Jakob is correct.

The base 10 logarithmic function is a continuous function, which means that the distance between any two consecutive values on the number line is the same. Therefore, if 2 is halfway between 1 and 3, the value of the logarithm that is halfway between log 1 and log 3 should be the average of log 1 and log 3, which is:

(log 1 + log 3) / 2 = (0 + 0.477) / 2 = 0.2385

To find the value of x such that 10^x = 505, we can take the logarithm of both sides using base 10:

log 10^x = log 505

x = log 505

Using a calculator, we can find that log 505 is approximately 2.702.

To find the value of x such that 10^x = 100, we can take the logarithm of both sides using base 10:

log 10^x = log 100

x = log 100

Using a calculator, we can find that log 100 is exactly 2.

Therefore, the logarithm that is equal to 2 is log 100, not log 505.

The approximate diameter of the pile of sand in the cone that sand was dumped in is 9.30 feet.

What is the approximate diameter?

A cone is a 3-dimensional object that consists of a ciruclar base and a vertex. The diameter is twice the length of the radius.

Radius = √[volume / (1/3 x π x height)]

=> Radius=√[136 / (1/3 x 22/7 x 6)]

=> Radius=√[136 / 6.29 = 4.65

Hence the Diameter = 4.65 x 2 = 9.30 feet

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Answer:

average rate of change = [tex]\frac{6}{13}[/tex]

Step-by-step explanation:

the average rate of change of f(t) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ - 5, 8 ] , then

f(b) = f(8) = 6 ← point (8, 6 ) on graph

f(a) = f(- 5) = 0 ← point (- 5, 0 ) on graph

then

average rate of change = [tex]\frac{6-0}{8-(-5)}[/tex] = [tex]\frac{6}{8+5}[/tex] = [tex]\frac{6}{13}[/tex]

Answer: [6, 25]

Explanation:

If Gerald takes a 700-mile round trip, then he is credited with 1400 miles flown (700 miles each way). To attain Gold status, Gerald needs to fly between 8400 and 35000 miles per year. Let's call the number of round trips Gerald needs to take "x". Then, we can set up an inequality to represent the number of miles he needs to fly:

8400 ≤ 1400x ≤ 35000

Dividing all three parts of the inequality by 1400, we get:

6 ≤ x ≤ 25

Therefore, Gerald needs to visit his parents at least 6 times a year, but no more than 25 times a year to attain Gold status. In interval notation, we can express this as:

[6, 25]

The total volume of the hemisphere mounted on the cuboid is 3574.76 cubic yards.

To find the volume of the hemisphere mounted on the cuboid, we need to first find the volume of the cuboid and the volume of the hemisphere separately, and then add them up.

The volume of the cuboid is given by the formula:

V_cuboid = l x w x h

where l, w, and h are the length, width, and height of the cuboid, respectively. Substituting the given values, we get:

V_cuboid = 17 yd x 14 yd x 12 yd

V_cuboid = 2856 cubic yards

Next, we need to find the volume of the hemisphere. The diameter of the hemisphere is given as 14 yd, which means that the radius is 7 yd. The volume of the hemisphere is given by the formula:

V_hemisphere = (2/3) x π x [tex]r^{3}[/tex]

V_hemisphere = (2/3) x 3.14 x [tex]7^{3}[/tex]

V_hemisphere = 718.76 cubic yards

To find the volume of the hemisphere mounted on the cuboid, we add the volumes of the cuboid and the hemisphere:

V_total = V_cuboid + V_hemisphere

V_total = 2856 + 718.76

V_total = 3574.76 cubic yards

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Answer:

The numbers are 30, 60, and 10

Step-by-step explanation:

Let's start by assigning variables to the three numbers.

We can call them x, y, and z.

From the problem, we know that:x + y + z = 100

We also know that the first number is a multiple of 15, so we can write:

x = 15a, where a is some integer.

Furthermore, we know that the second number (y) is ten times the third number (z), so we can write:

y = 10z

Now we can substitute equations (2) and (3) into equation (1) to get an equation in terms of z:

15a + 10z + z = 100

Simplifying, we get:

15a + 11z = 100

To find a possible solution for this equation, we can try different values of a and see if we get a whole number solution for z.

Let's start with a = 1. Substituting a = 1, we get:

15(1) + 11z = 100

z = (100 - 15)/11

z = 8.64

Since z is not a whole number, we need to try a different value of a.Let's try a = 2.

Substituting a = 2, we get:15(2) + 11z = 100

z = (100 - 30)/11

z = 6

Now we have a whole number solution for z. Substituting z = 6 into equations (2) and (3), we get:x = 15a = 15(2) = 30

y = 10z = 10(6) = 60So the three numbers are 30, 60, and 10.

so the garden is a parallelogram and the whole area is a rectangle, now, if we just get the whole area and then subtract the area of the parallelogram from it, in effect making a whole in the rectangle, what's leftover is the area of the walkway, Check the picture below.

Answer:

this may help!

Step-by-step explanation:

next time you have trouble with a graphing problem, you can just use the desmos graphing calculatator!

Step-by-step explanation:

Plot these set of points:

For x=-2, y=-7. So, plot (-2, -7)

Next, take x=0, so y=-3. Plot (0,-3)

Now make a straight line connecting the points from x=-2 to x=2, and draw a dot on every increment of x by 1. So, the graph should look like so:

Dοug Smalley's weekly federal incοme tax deductiοn wοuld be $24 as a result as the table shοws that $24 in federal incοme tax.

A quantity οr sum οf sοmething is generally referred tο as a "amοunt," and it is typically quantified in units οr numbers. It can be used tο a wide range οf situatiοns, including thοse in everyday life, mathematics, and mοney. An amοunt, fοr instance, might be a sum οf mοney that is invested, οwed, οr paid. An amοunt in mathematics can be either a quantity οr a numerical value. In daily life, an amοunt may relate tο the tοtal cοst οf the prοducts in a shοpping basket οr the number οf materials required fοr a recipe.

Dοug Smalley's file status (married) and the number οf allοwances requested need us tο apply the IRS tax tables in οrder tο determine the amοunt οf federal incοme tax deducted frοm his mοnthly wages (2).

Determine the emplοyee's weekly grοss pay: $485

Remοve the amοunt οf the emplοyee's claimed weekly allοwances. The amοunt is $162.80 ($86.40 fοr the first allοwance and $76.40 fοr the secοnd allοwance) fοr twο allοwances in 2021.

$485 - $162.80 = $322.20 (adjusted grοss pay) (adjusted grοss pay)

Find the rοw fοr Dοug's adjusted grοss pay οf $322.20 and the cοlumn fοr his marital status (married) and the amοunt οf allοwances claimed using the IRS tax tables (2).

The table shοws that $24 in federal incοme tax wοuld be withheld each week.

Dοug Smalley's weekly federal incοme tax deductiοn wοuld be $24 as a result as the table shοws that $24 in federal incοme tax.

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Find the federal income tax withheld each week using the Weekly Payroll tables on pages 7-10.

Doug Smalley, a store manager, is married and earns $485 a week. He claims 2 allowances.

The distance between the base of the second ladder and the wall is 1.6 meters.

So we know that the two ladders are parallel, then the triangles that we are forming (between the ladder, the floor, and the wall) are two similar triangles.

We know that the length of the first ladder is 4.2m

The length of the second ladder is 5.6 m

Then the scale between these sides is:

4.2m*k = 5.6m

k = 5.6m/4.2m =  4/3

Then the distances of the bases are related by tha same scale, the distance between the base and the wall of the second base is:

(4/3)*1.2 m= 1.6m

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Answer:

1/3 or 2/6

Step-by-step explanation:

6/6 is a whole. If you subtract 1/6 from 6/6, you get 5/6. Then, subtract 3/6 from 5/6. You get 2/6 remaining for the result. 2/6 simplified is 1/3.

Answer:

2/6

Step-by-step explanation:

We Know

She will use 1/6 of the poster for the title and 3/6 of the poster for a diagram of her experiment.

1/6 + 3/6 = 4/6

So, 4/6 of her poster has been used.

The rest of the poster will be used for the results of her experiment

How much of the poster will Katy use for the results?

We Take

6/6 - 4/6 = 2/6

So, 2/6 of her poster will be use for the result.

The value of both missing angles are calculated as: ∠1 = 41° and ∠2 = 139°

We know that the sum of angles on a straight line sums up to 180 degrees.

Thus, from the given diagram, we can say that:

∠1 + ∠2 = 180

We are told that ∠2 is 16 more that 3 times ∠1.

Thus:

∠2 = 3(∠1) + 16

Thus:

3(∠1) + 16 + ∠1 = 180

4(∠1) = 180 - 16

∠1 = 164/4

∠1 = 41°

∠2 = 180 - 41

∠2 = 139°

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Option b. best represents the data of scatter plots.

A scatter plot is a type of graph used to display the relationship between two numerical variables. It is also called a scatter diagram or scatter graph.

The best scatter plot to represent the given data would be:

b. A graph shows rainfall increases (in centimeters) from 1.5 to 15 in steps of 1.5 and the number of months on the x-axis.

Points at  (1, 1.1),  (2, 1.3),  (3, 1.8),  (4, 2.6),  (5, 3.7),  (6, 4.5),  (7, 5.7),  (8, 7.1),  (9, 8.9),  (10, 12.3)

This scatter plot correctly shows months on the x-axis and the corresponding increase in rainfall (in centimeters) on the y-axis. The range of the y-axis from 1.5 to 15 in increments of 1.5 is appropriate for the data provided. Additionally, this plot correctly represents all the data points provided without any errors.

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