Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows. X Frequency 2 2 4 13 13 1 Part (a) Find the sample mean x. (Round your answer to two decimal places.) Part (b) Find the sample standard deviation, s. (Round your answer to two decimal places.)

Answer:

$8,511.1147

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^n

P is the amount invested = $6000

r is the rate = 6% = 0.06

t is the time = 6yrs

A is the compound amount

A = 6000(1+0.06)^6

A = 6000(1.06)^6

A  = 6000(1.4185)

A = 8,511.1147

Hence the compound amount to 4dp is $8,511.1147

Answer:

10 minutes

Step-by-step explanation:

First, find how much higher the airplane has to travel:

35,000 - 30,000

= 5,000

To fine how long it will take, divide 5000 by 500

5000/500

= 10

So, it will take 10 minutes to get above 35,000 feet

Answer:

the answer of this question is -5

Step-by-step explanation:

-2-3= -5

The function is f(x) = 3cos(2πx)—6 if the function has a maximum

point at (-2, -3) and a minimum point at (–2.5, -9).

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Midline line y = -6

a = |-6-(-3)| = 3

d = -6 (midline)

Difference = |-3 + 2| = 1

b = 2π/1 = 2π

By plugging points in the equation, we get

c = 0

The equation become:

\(\rm y\ =\ 3\cos\left(2\pi x)-6\)

Thus, the function is f(x) = 3cos(2πx)—6 if the function has a maximum

point at (-2, -3) and a minimum point at (–2.5, -9).

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Step-by-step explanation:

Hey there!

The points are; S(-5,-2) and T(-3,4).

Using distance formula to find the distance between two points.

\(d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)

Put all values.

\(d = \sqrt{ {( - 3 + 5)}^{2} + {(4 + 2)}^{2} } \)

Simplify it.

\(d = \sqrt{ {(2)}^{2} + {(6)}^{2} } \)

\(d = \sqrt{4 + 36} \)

\(d = \sqrt{40} \)

Therefore the distance between two points is root 40 units Or 6.324 units.

Or, you can write as 6 units after rounding off.

Hope it helps...

Answer:

6

Step-by-step explanation:

ON TTM

Answer:

the opposite of the fraction is 3/8

Answer:

The answer is the last choice, h= 2a/b

Step-by-step explanation:

If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh.  Next you would divide each side of the equation by b to solve for h.  This would give you h= 2a/b, which is your final answer.

Answer: no possible triangles

Step-by-step explanation:

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

Best anwser to use is Mode. Where you have the most

Step-by-step explanation:

that's what I got, you can confirm if it's correct or not... I'm not sure

have a nice dayʘ‿ʘ

Answer:

I cant see the whole picture

Step-by-step explanation:

.

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.

8. C (2,8,9,12,18} is NOT a subset of all the even integers.

9. C

10. True

11. True

12. True

13. C

14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other.

15. C

16. C

17. C

A subset is a group of objects, elements, or values taken from a larger set. Subsets are typically used to define specific characteristics or qualities of the larger set. For example, a subset of numbers might include only the even numbers from 1 to 10.

7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.

A subset is a collection of elements that are part of a larger set. In this case, the larger set is {1,3,5,6,7,8,9,12}. B <1.4,6,7,8} is not a subset of this larger set because it includes an element, 1.4, that is not found in the larger set.

8. C (2,8,9,12,18} is NOT a subset of all the even integers.

A subset is a collection of elements that are part of a larger set. In this case, the larger set is all the even integers. C (2,8,9,12,18} is not a subset of all the even integers because it includes an element, 9, that is not even.

9. C

The sets {3,4,8} and {1,2,3,4,5,6} are not subsets of each other. The set {3,4,8} is not a subset of {1,2,3,4,5,6} because it includes an element, 8, that is not found in the larger set.

10. True

The set {1,3,5,7} is a subset of all positive integers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is all positive integers. The set {1,3,5,7} is a subset of this larger set because all of its elements, 1, 3, 5, and 7, are found in the larger set.

11. True

The counting numbers is a subset of the whole numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the whole numbers. The counting numbers is a subset of this larger set because all of its elements, 1, 2, 3, 4, and so on, are found in the larger set.

12. True

The set of all whole numbers is a subset of the natural numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the natural numbers. The set of all whole numbers is a subset of this larger set because all of its elements, 0, 1, 2, 3, 4, and so on, are found in the larger set.

13. C

The sets {-2,0,1,3,8} and all whole numbers are not subsets of each other. The set {-2,0,1,3,8} is not a subset of all whole numbers because it includes an element, -2, that is not found in the larger set.

14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other. The set A is a subset of B because all of its elements, x < 8, are found in the larger set. One element of A that is not found in B is 7.

15. C

The sets A = {x I -2 3} and B are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.

16. C

The sets A = (xIx12 and B = (xIx>1} are not subsets of each other. The set A is not a subset of B because it includes an element, 12, that is not found in the larger set.

17. C

The sets A = {x | 3x + 6 < 0} and B = {x I x < 0} are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.

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The  three equations with solution x=-5 Are as follows:

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.

A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.

x=-5 Given

This also can be written as :

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

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The population of the city in 100 years will be approximately 13,417.

Understanding the calculation's sense, in order to find the population of the city in 100 years, we can use the formula for exponential decay: \(P = P0 * (1 - r)^t\), where P is the final population, P0 is the initial population, r is the annual rate of decrease (expressed as a decimal), and t is the number of years.

In this case, the initial population (P0) is 100,000, the annual rate of decrease (r) is 2% or 0.02, and the number of years (t) is 100.

Substituting these values into the formula, we have:

\(P = 100,000 * (1 - 0.02)^100\)

Calculating this expression, we find that the population of the city in 100 years will be approximately 13,417.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

y= 2x + 8 , y = 4x - 2

2x + 8 = 4x - 2

8 = 2x - 2

10 = 2x

5 = x

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

y = 2x + 8

substitute the y in the other expression with this expression (you can do it vise versa too but i chose this because it was first)

2x + 8 = 4x - 2

goal is to isolate the variable

add 2 to both sides (this cancels out the -2 on the right side)

2x + 8 + 2 = 4x - 2 + 2

2x + 10 = 4x + 0

2x + 10 = 4x

subtract -2x from both sides (cancels out the 2x on the left side)

2x - 2x + 10 = 4x - 2x

0x + 10 = 2x

10 = 2x

divide both sides by 2 (cancels out the 2 on the right side)

10 ÷ 2 = 2x ÷ 2

5 = 1x

5 = x

variable is isolated and tells us that x = 5

Answer:57

Step-by-step explanation:

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:

2/3

Step-by-step explanation:

Pythagorean theorem is represented by triangle B.

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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The perimeter of the square will be 22

The coordinates of B' after the sequence of transformations are given as follows:

B'(3,-4).

The coordinates of B are given as follows:

B(-3,1).

After a reflection over the y-axis, the x-coordinate of B is exchanged, hence:

B'(3, 1).

The rule for a 90º clockwise rotation is that (x,y) becomes (y,-x), hence the coordinates of B' after the 90º clockwise rotation are given as follows:

B'(1, -3).

The translation (x + 2, y - 1) means that 2 is added to the x-coordinate while 1 is subtracted from the y-coordinate, hence the final coordinates of B' are given as follows:

B'(3,-4).

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If triangle ABC has points A(2, -4), B(-3, 1), and C(-2, -6) and you perform the following transformations, B' would be at B' (3, -4).

In Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a reflection over the y-axis to the coordinate of the given point B (-3, 1), we have the following coordinates:

Coordinate B = (-3, 1)   →  Coordinate B' = (-(-3), 1) = (-3, 1).

Next, we would apply a rotation of 90° clockwise as follows;

(x, y)                               →            (y, -x)

Coordinate B' = (-3, 1) → Coordinate B' = (1, (-3)) = (1, 3)

Finally, we would apply a translation (x + 2, y - 1) as follows:

Coordinate B' = (1, 3) → (1 + 2, 3 - 1) = B' (3, 2).

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Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71 and a standard deviation of 7.

This means that \(\mu = 71, \sigma = 7\)

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 71}{7}\)

\(X - 71 = 7*1.28\)

\(X = 80\)

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.525 = \frac{X - 71}{7}\)

\(X - 71 = 7*0.525\)

\(X = 74.68\)

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.525 = \frac{X - 71}{7}\)

\(X - 71 = 7*(-0.525)\)

\(X = 67.33\)

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 71}{7}\)

\(X - 71 = 7*(-1.28)\)

\(X = 62\)

The lowest score on the final exam that would qualify a student for a​ D is 62.

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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