A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. Provide the final answer as a percent rounded to one decimal place.

The tangent of angle Z is given as follows:

tan(Z) = length of opposite side/length of adjacent side.

The three trigonometric ratios are defined as follows:

Hence the tangent for angle Z is given by the ratio between the length of the opposite side to angle Z and the length of the adjacent side to angle Z.

The problem is incomplete, hence the general procedure to obtain the tangent of angle Z is presented.

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The surface area of the cone is 48π square centimeters (or approximately 150.8 square centimeters if we use a decimal approximation for π).

Calculating a cone's surface area is as follows:

[tex]\mathrm{SA = \pi r\² + \pi r \boldsumbol l }[/tex]

where l is the cone's slant height and r is the base's radius.

The radius and slant height in this instance are 4 cm and 8 cm, respectively. Therefore:

[tex]SA = \pi (4\²) + \pi (4)(8) \s= 16 \pi + 32 \pi \s= 48 \pi[/tex]

Hence, the cone's surface area is 48 square centimetres (or around 150.8 square centimetres if we round to the nearest decimal).

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Answer: 20 inches

Step-by-step explanation: Let's quickly create some equations to represent what's going on. We can say i are inches and m are miles. Then, 5i=3m because 5 inches represents 3 miles.

5i=3m

5/3i=1m One mile represents 5/3 of an inch/

12(5/3i)=12m We multiply by 12 since we want to know what 12 miles are

60/3i=12m=20i      12 miles is equal to 20 inches

Hope this helps! For practice, if 10 inches represented half a mile on a map, how many feet are represented by 36 miles?

Answer:

0

Step-by-step explanation:

I remember learning this in math class. The smallest possible probability is zero meaning that event can't happen to be true.

The final answer is 1/10, which is a reduced fraction in lowest terms.

What is the fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity by another.

To perform the operation described, we first need to multiply the two fractions together using cross multiplication:

(3/5) x (1/6) = (3 x 1) / (5 x 6) = 3/30

The resulting fraction 3/30 is an improper fraction, meaning that the numerator is larger than the denominator. To convert this to a mixed fraction, we need to divide the numerator by the denominator, and express the remainder as a fraction. In this case:

3/30 = 1/10

Hence, the final answer is 1/10, which is a reduced fraction in lowest terms.

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Answer:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount of money accumulated, P is the principal (initial) amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this problem, we want to find the principal amount P that will accumulate to $12,000 in 3 years at an annual interest rate of 6% compounded monthly. First, we need to convert the annual interest rate to a monthly rate:

r = 0.06/12 = 0.005

Next, we can substitute the given values into the formula and solve for P:

12,000 = P(1 + 0.005/12)^(12*3)

12,000 = P(1.005)^36

P = 12,000/(1.005)^36

P ≈ $9,883.86

Therefore, the amount of money that should be deposited today is approximately $9,883.86.

Step-by-step explanation:

The linear equation on the graph is written as:

y = 20x + 10

Remember that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

By looking at the graph, we can see that the line intercepts the y-axis at y = 10, then the y-intercept is b = 10.

We can write:

y = a*x + 10

Now we can also identify the point (1, 30), replacing the values of that point in the equation above we will get:

30 = a*1 + 10

30 = a + 10

30 - 10  =a

20  =a

Then the linear equation is:

y = 20x + 10

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Monica should report the mode, because the mode of a data set is always the value that appears the greatest number of times. Option C is correct.

Since the denominator of the expression (1 + 0.1t) cannot be zero, the domain of the model is between t = 0 and t = -10.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

(b) We must assess the model at t = 0 in order to determine the starting number of elk in the herd:

P = (10 + 3.3t)/(1 + 0.1t)

P = (10 + 3.3(0))/(1 + 0.1(0))

P = 10/1

P = 10

(c) We can easily enter the relevant values of t into the model to determine the populations of elk after 25, 59, and 113 years, then round the results to the nearest integer.

When t = 25:

P = (10 + 3.3t)/(1 + 0.1t)

P = (10 + 3.3(25))/(1 + 0.1(25))

P ≈ 47

When t = 59:

P = (10 + 3.3t)/(1 + 0.1t)

P = (10 + 3.3(59))/(1 + 0.1(59))

P ≈ 189

When t = 113:

P = (10 + 3.3t)/(1 + 0.1t)

P = (10 + 3.3(113))/(1 + 0.1(113))

P ≈ 458

(d) We can use the expression's limit as t approaches infinity to determine the expected population limit:

lim P as t → ∞ = lim (10 + 3.3t)/(1 + 0.1t) as t → ∞

Using L'Hopital's rule, we can find that the limit is equal to:

lim P as t → ∞ = lim 3.3/0.1 as t → ∞

lim P as t → ∞ = 33

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The worker will earn 24,000 naira in 1/2 year

A worker earns 4000 naira per month

The amount he earns in 1/2 year can be calculated as follows

1/2 of a year is 6 months

The amount of money the worker will earn in six months can be calculated as follows

= 4,000 × 6

= 24,000

Hence the worker will earn 24,000 naira in 1/2 of a year(six months)

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Answer:

B) 15 days

Step-by-step explanation:

Total Work = (Number of men) x (Hours worked per day) x (Number of days)

Using this formula, we can find the total amount of work to be done in the scenario given in the question:

Total Work = (20 men) x (6 hours per day) x (10 days) = 1200 hours

(a) To find out how many hours a day the remaining 16 men should work to finish the work in 10 days, we need to subtract the work that was not done due to the absence of the 4 men:

Remaining Work = Total Work - Work not done by 4 men

Remaining Work = 1200 - (4 men) x (6 hours per day) x (10 days)

Remaining Work = 840 hours

To finish the remaining work in 10 days, the 16 men would need to work:

Hours per day = Remaining Work / (Number of men) x (Number of days)

Hours per day = 840 / (16 men) x (10 days)

Hours per day = 5.25 hours

Therefore, the 16 men would need to work 5.25 hours per day to finish the work in 10 days.

(b) To find out how many hours a day the remaining 16 men should work to finish the work in 15 days, we need to calculate the total amount of work that needs to be done each day:

Daily Work = Total Work / Number of days

Daily Work = 1200 / 15

Daily Work = 80 hours

To finish the daily work of 80 hours, the 16 men would need to work:

Hours per day = Daily Work / Number of men

Hours per day = 80 / 16

Hours per day = 5 hours

Therefore, the 16 men would need to work 5 hours per day to finish the work in 15 days.

Step-by-step explanation:

subs8biiisowm9bbbs9 to

The response to the given question would be that Because it has a interest higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The interest rate of the loan is defined as this ratio.

The following would be the order of 2000 simple interest generated on an investment, from least to most:

2000 invested for 20 years at 3% simple interest

2000 invested for three years at 10% simple interest

2000 invested at 10% simple interest for nine years

Because of its longer length and lower interest rate than the other two alternatives, Option 2 would yield the least amount of interest.

Due to its higher interest rate and longer period, option 3 would generate more interest than option 2.

Because it has a higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.

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Answer:

6 I think have a great day

The formula used to find any term of the geometric sequence is found as: an = 2(2)ⁿ⁻¹.

The geometric sequence equations has the general form an=a1rⁿ⁻¹, where r denotes the common ratio, a1 denotes the first term, and n denotes the term's position in the sequence.

sequence: 2, 4, 8, 16, 32, …

a1 = 2

r = 4/2 = 2

So,

an = 2(2)ⁿ⁻¹

Thus, the formula used to find any term of the geometric sequence is found as: an = 2(2)ⁿ⁻¹.

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The difference is 7.76 × 10³ in scientific notation.

What is scientific notation?

Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.

We can perform the subtraction in the usual way, using the fact that the numbers are already in scientific notation:

(8.4 × 10³) − (6.4 × 10²) = 8.4 × 1000 − 6.4 × 100

= 8400 − 640

= 7760

To write this in scientific notation, we can express the result as a number between 1 and 10 multiplied by an appropriate power of 10. In this case, we can write:

7760 = 7.76 × 10³

Therefore, the difference is 7.76 × 10³ in scientific notation.

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the answer is 283.4

I can't write a formula

The heaviest fish caught weighed more than 12 pounds.

What is mean in statistics?

In statistics, the mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the data set and dividing the sum by the number of values. The mean is also called the arithmetic mean or the average. It is commonly used to describe the typical value of a group of numbers.

To determine which statement is supported by the data, we need to analyze the weights of the fish that Terri and her father caught. Here are some possible statements that could be supported by the data:

A. The average weight of the fish caught was less than 7 pounds.

B. The heaviest fish caught weighed more than 12 pounds.

C. The total weight of the fish caught was more than 60 pounds.

D. The range of weights of the fish caught was between 4 and 12 pounds.

To determine which statement is supported, we can calculate some basic statistics:

Mean (average) weight: (5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2) / 7 = 7.8 pounds

Maximum weight: 12.2 pounds

Minimum weight: 4.0 pounds

Range of weights: 12.2 - 4.0 = 8.2 pounds

Total weight: 5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2 = 54 pounds

Based on this analysis, we can see that statement C ("The total weight of the fish caught was more than 60 pounds") is not supported by the data, as the total weight was only 54 pounds.

Statement A ("The average weight of the fish caught was less than 7 pounds") is also not supported, as the average weight was 7.8 pounds.

Statement B ("The heaviest fish caught weighed more than 12 pounds") is supported, as the heaviest fish weighed 12.2 pounds.

Finally, statement D ("The range of weights of the fish caught was between 4 and 12 pounds") is also supported, as the weights ranged from 4.0 to 12.2 pounds.

Therefore, the correct answer is either B or D, depending on the context of the question.

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The exponential model for the data is y=0.646(1.087)ˣ.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the table we have, (8, 1.26), (10, 1.49)

We know that, the general form of exponential model is y=abˣ.

Here, substitute (8, 1.26) in y=abˣ, we get

1.26=ab⁸ -------(i)

a=1.26/b⁸

Here, substitute (10, 1.49) in y=abˣ, we get

1.49=ab¹⁰ -------(ii)

a=1.49/b¹⁰

1.26/b⁸ = 1.49/b¹⁰

1.26=1.49/b²

b²=1.49/1.26

b=1.087

Substitute b=1.087 in equation (i), we get

1.26=a(1.087)⁸

1.26=a(1.95)

a=1.26/1.95

a=0.646

So, the equation is y=0.646(1.087)ˣ

Therefore, the exponential model for the data is y=0.646(1.087)ˣ.

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Answer:

Mean = 325.6

Range = 80

Median = 49

Step-by-step explanation:

Mean= All numbers added dividend by 10 (amount of digits)

Range= Highest number minus lowest number

Median= Middle number (process of cancellation)

The numeric values for the composite functions are given as follows:

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

Using the definitions of p(x) and q(x) given in this problem, the composite function of p and q is given as follows:

[tex]p(q(x)) = p(\sqrt{x + 2}) = (\sqrt{x + 2})^2 + 3 = x + 2 + 3 = x + 5.[/tex]

Hence the numeric value at x = 2 is given as follows:

2 + 5 = 7.

The composite function of q and p is given as follows:

[tex]q(p(x)) = q(x^2 + 3) = \sqrt{x^2 + 3 + 2} = \sqrt{x^2 + 5}[/tex]

Hence the numeric value at x = 2 is given as follows:

sqrt(2^2 + 5) = sqrt(9) = 3.

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The amount of ice cream in a properly filled cone is approximately 167.46 cubic cm.

The volumes of a cone and a cylinder with the same base and height are proportionate to one another. A cone's volume is specifically one-third that of a cylinder with the same base and height.

The volume of a cone, which is given by:

V = (1/3)πr²h

Substituting the values of radius and height we have:

V = 1/3π(4)²(10)

V = 167.46 cubic cm.

Hence, the amount of ice cream in a properly filled cone is approximately 167.46 cubic cm.

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Answer:

The given expression simplifies to zero.

Step-by-step explanation:

Tangent Trigonometric Identity:

[tex]\boxed{\tan \theta=\dfrac{\sin \theta}{\cos \theta}}[/tex]

Given expression:

[tex]\tan^2 \theta \cos^2 \theta - \sin^2 \theta[/tex]

To simplify the given expression, rewrite tan²θ using the tan trigonometric identity:

[tex]\implies \dfrac{\sin^2 \theta}{\cos^2 \theta} \cdot \cos^2 \theta - \sin^2 \theta[/tex]

[tex]\implies \dfrac{\sin^2 \theta \cos^2 \theta}{\cos^2 \theta} - \sin^2 \theta[/tex]

Cancel the common factor cos²θ:

[tex]\implies \sin^2 \theta - \sin^2 \theta[/tex]

Add similar elements:

[tex]\implies \sin^2 \theta - \sin^2 \theta=0[/tex]

Therefore, the given expression simplifies to zero.

Solving the inequalities for x and y, we have x > 3 and y > 1

Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).

Here Given that the twο inequalities are:

x + 5 < 8y

And

x + 5 > 8

x > 8 - 5

x > 3

Substate the value of x in x + 5 < 8y:

x + 5 < 8y

x < 8y - 5

3 < x < 8y - 5

3 < 8y - 5

3 + 5 < 8y

8 < 8y

y > 8/8

y  > 1

Thus, Solving the inequalities for x and y, we have x > 3 and y > 1

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Complete question:

Solve the for x and y.

a. x + 5 < 8y

   x + 5 > 8

​

Answer:

Find the value of b using the formula for the equation of a line.

y = mx+b

Replace the known value of m in the slope y-intercept form of the equation.

y=(1)x+b

Replace the known value of b in the slope y-intercept form of the equation.

y=(1)x+4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

y=(1)x+4

Multiply 1 by x

y=1x+4

Remove parentheses.

y=(1)x+4

Multiply x by 1

this is the answer : y=x+4

i hope this helps.

The tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.

Tο answer this questiοn, we need tο knοw the cοmmissiοn rate fοr the lοbster raviοli and k salads. Let's assume the cοmmissiοn rate is 10% fοr bοth items.

If the lοbster raviοli cοst $15 each and the steak salads cοst $12 each, then the tοtal cοmmissiοn earned wοuld be:

3 x $15 x 0.10 + 5 x $12 x 0.10 = $13.50

Therefοre, the cοmmissiοn earned is $13.50.

Tο find the tοtal amοunt earned, including cοmmissiοn and base pay, we simply add the cοmmissiοn earned tο the base pay:

$50 + $13.50 = $63.50

Therefοre, the tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.

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72 items were checked to work correctly.

What is the solution of algebraic expression?

Finding the value of the variable is part of solving an algebraic statement. We must do certain algebraic operations to determine the value of one of the variables in the linear equations before we can substitute that value to get the value of another variable.

Then the percentage of defective items in the checked batch is x + 3%.

We know that out of 300 items, this percentage represents the number of defective items. So we can write:

(x + 3%) * 300 = number of defective items

Simplifying this equation, we get:

3x + 9 = number of defective items

number of items checked - number of defective items = number of items checked to work correctly

Substituting the equation we derived above for the number of defective items, we get:

300 - (3x + 9) = number of items checked to work correctly

Simplifying this equation, we get:

291 - 3x = number of items checked to work correctly

3x = number of defective items in a batch of 300 items with the normal percentage of defects

Substituting this expression for the number of defective items in our previous equation, we get:

291 - 3x = number of items checked to work correctly

Now we can solve for x:

3x = number of defective items in a batch of 300 items with the normal percentage of defects = x/100 * 300

3x = 3 * (300 - number of items checked to work correctly - number of defective items)

3x = 900 - 3(3x + 9)

3x = 900 - 9x - 27

12x = 873

x = 73

So the normal percentage of defective items is 73%.

Now we can find the number of items checked to work correctly:

291 - 3x = 291 - 3(73) = 72

Therefore, 72 items were checked to work correctly.

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The largest portion of the yard they can fence in with 90 feet of fencing has an area of 2025/π  feet².

Explain area of circular portion?

The area of a circular portion is the amount of space within the boundary of the circular shape. It is given by the formula A = πr², where r is the radius of the circle.

Now,

To determine the area of the largest portion of the yard, we need to find the radius of the circular portion.

The circumference of a circle is 2πr. Since they have 90 feet of fencing, we can write:

90 = 2πr

Solving for r, we get:

r = 45/π

The area of the circular portion is given by the formula A = πr². Substituting r, we get:

A = π(45/π)² = 2025/π  feet²

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Answer:$0.85

Step-by-step explanation: 4.25/5=0.85

The altitude of the plane to the nearest meter is 9210 meters and if the plane descends at a rate of 750 meters per minute, the pilot will have 12.28 minutes.

What is right angled triangle ?

A right-angled triangle is a triangle that has one angle that measures 90 degrees (a right angle). This means that the other two angles must add up to 90 degrees as well. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. The Pythagorean theorem, which states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse, is a fundamental concept in mathematics and has many practical applications. Right-angled triangles are used in fields such as engineering, architecture, and physics to calculate distances, heights, and angles.

a) Let's use the Pythagorean theorem to find the altitude of the plane. We have a right triangle with the slant range as the hypotenuse, the ground range as one leg, and the altitude as the other leg. So, we can use:

altitude² + ground range² = slant range²

altitude² + 10.15² = 14.5²

altitude² = 14.5² - 10.15²

altitude² = 84.9025

altitude ≈ 9.21 km or 9210 meters (rounded to the nearest meter)

b) If the plane descends at a rate of 750 meters per minute, the pilot will have:

time = altitude / descent rate

time = 9210 / 750

time ≈ 12.28 minutes (rounded to two decimal places).

Therefore, the altitude of the plane to the nearest meter is 9210 meters and if the plane descends at a rate of 750 meters per minute, the pilot will have 12.28 minutes.

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The probability that the next person will purchase no costume is 80%.

What is the difference between a probability and an odds?

The possibility of an event occurring can be expressed using odds and probability, but they are computed and understood in different ways.

Probability, which is stated as a number between 0 and 1 (or between 0% and 100%), is the possibility that an event will occur. By dividing the number of positive possibilities by the total number of potential outcomes, the probability of an event happening is determined.

The possibility of an event happening is expressed differently by odds, which are expressed as a ratio of the number of favourable events to the number of negative outcomes. It is possible to state odds as "odds for" or "odds against."

Now,

The total number of visitors who purchased costumes is:

71 (exactly one) + 12 (more than one) = 83

The total number of visitors who did not purchase a costume is: 349

The probability that the next person will purchase no costume is:

349 / (349 + 83) = 349 / 432 ≈ 0.8079

Hence, the probability that the next person will purchase no costume is 80%.

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