A clerk counted 13 small baseball caps, 36 medium baseball caps, and 27 large baseball caps on the store shelves. She also counted 10 small baseball caps and 15 medium baseball caps in the stockroom.
Organize the data in a matrix. Name the matrix B. Label the rows and columns.
Each baseball cap sells for $19. Create the matrix that shows the total value of each cap size in each location. Show your work.

Answer: Midpoint = 0

Explanation:

The midpoint of segment ED can be calculated as:

Where E and D are the coordinates of E and D respectively.

So, replacing E by 2 and D by -2, we get:

Therefore the midpoint of segment ED is equal to 0.

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

The volume of right prism is equal to 464 cubic inches.

Volume of right prisms (V), in cubic inches, is equal to the product of cross area (A), in square inches, and height (h), in inches:

V = A · h

According to figure, cross area is the result of adding the areas of three rectangles. Area formula for rectangles is:

A' = w · l

Where:

First, determine the cross area of the prism:

A = 2 · (3 in) · (7 in) + (4 in)²

A = 42 in² + 16 in²

A = 58 in²

Second, calculate the volume of the right prism:

V = (58 in²) · (8 in)

V = 464 in³

The right prism has a volume of 464 cubic inches.

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Answer:

its sqrt(10)

Step-by-step explanation:

The measure of the segments of the triangles are solved and

n = √10 units

p = 5 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be represented as ΔABC

Now , the measure of n = √ ( AB )² + ( BC )²

where the length of each small grid square is 1 square unit

So , n = √ ( 3 )² + ( 1 )²

n = √10 units

Let the second triangle be represented as ΔPQR

Now , the measure of p = √ ( PQ )² + ( QR )²

where the length of each small grid square is 1 square unit

So , p = √ ( 3 )² + ( 4 )²

p = √25

p = 5 units

Hence , the segments are solved

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The complete question is attached below :

One segment is n units long and the other is p units long. Find the value of n and p. (Each small grid square is 1 square unit.) Round your answer to the nearest tenth.

Answer:

27

Step-by-step explanation:

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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Answer:

6

Step-by-step explanation:

Answer: y=2.5x+90

Step-by-step explanation:

idk

Answer: y =2.5x+90

Step-by-step explanation:

Answer:

It's all explained below :)

Step-by-step explanation:

So first we need to go to a graphing calculator! I usually use Desmos to do my stats stuff. You'll wanna head to their linear regression calculator (I can't add a link, but just google Desmos linear regresion and it'll pop up).

Put the points into the table. Lines of best fit have the equation y1 ~ bx1+a, so put that in the box right below the table, where you see another equation already written- just edit it. We see all the other numbers listed below that, so we know that b=-0.894 and a=13.599, so the line of best fit is -0.9x + 13.6 = y when you round those numbers.

The correlation coefficient is represented by the letter r. r is shown below as well, and is -0.964. Strong correlations are represented by a value close to the number 1, so this is strong, as it's very close. It is negative because of its sign. Correlation coefficients don't go over the number 1 or below -1, so be careful. I hope this was helpful! If you need any more clarification just let me know.

The value of integral is x = ceᵗ + ∫(ceᵗ ∫ (e⁻ᵗv/u + 3v + 6v²)dv)dt,where c is the constant of integration.

To solve the given equation, x³ ˙x² x = e⁻ᵗ where ˙x = dx/dt, we need to use the method of substitution. This is done by first substituting ˙x with u and finding dx in terms of du.

Then, we substitute the new terms we found into the given equation. Let's follow the steps.

Let u = ˙xThen, du/dt = d/dt(dx/dt) = d²x/dt² = d²x/du² * du/dt = d²x/du² * u (using the chain rule)Hence, d²x/dt² = du/dt * du/dt + d²x/du² * u = u * du/dt + d²x/du² * u (since du/dt = u).

Let's differentiate the given equation with respect to t and substitute ˙x with u.

This gives:3x² * u² + 2x * x * du/dt * u + x³ * d²x/dt² = - e⁻ᵗ.

We substitute the expression we found for d²x/dt² and simplify.

This gives:3x² * u² + 2x * x * u² + x³ * (u * du/dt + d²x/du² * u) = - e⁻ᵗ6x³u² + 3x⁴u + x³d²x/du²u = - e⁻ᵗ.

We simplify this equation by factoring out u.

This gives:u(6x³u + 3x⁴ + x³d²x/du²) = - e⁻ᵗ

Since we know that u cannot be zero, we can divide both sides by u.

This gives:6x³u + 3x⁴ + x³d²x/du² = - e⁻ᵗ/u.

We solve the equation x³d²x/du² = -3x⁴ - 6x³u - u * e⁻ᵗ by using the method of integration.

This gives the main answer as:x = ceᵗ + ∫(ceᵗ ∫ (e⁻ᵗv/u + 3v + 6v²)dv)dtwhere c is the constant of integration.

 We simplify this expression by integrating the inner integral first.

This gives:x = ceᵗ + ∫(ceᵗ (1/u) ∫ e⁻ᵗv dv + 3/2 v² + 6/3 v³ + k)dtwhere k is another constant of integration.

We simplify this expression by integrating the inner integral again.

This gives:x = ceᵗ + ∫(ceᵗ (1/u) (- e⁻ᵗv) + 3/2 v² + 6/3 v³ + k)dt.

We solve the integral of the second term by using the formula for the sum of cubes. This gives:x = ceᵗ - (ceᵗ / u) ∫ e⁻ᵗv dv + v³ + 3v² + kv + c₂where c₂ is another constant of integration.

We simplify the expression by solving the integral of the first term. This gives:x = ceᵗ - (ceᵗ / u) (-e⁻ᵗv/u + 1/u²) + v³ + 3v² + kv + c₂x = ceᵗ + e⁻ᵗv + v³ + 3v² + kv + c₃ where c₃ is the constant of integration. We have finally found the answer and concluded our solution.

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53 inches is the mean height of the students in the group.

Given data: \(54,48,52,56,55\)

We know that mean of the heights =  \(\frac{Sum of all the heights}{No. of students}\)

                                                         \(= \frac{54+48+52+56+55}{5}\)

                                                         \(= \frac{265}{5}\)

                                                         \(= 53\) inches

Thus, the mean height of the students is 53 inches

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The correct option is " count 2 units below x=2 line."

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

Here, given that,

We have to find the reflection of point B(4,5) on the line x=2

Hence, from the given option the correct option is,

" count 2 units below x=2 line."

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Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

a. To determine the probabilities associated with different service lives, we can use the properties of the normal distribution. Given that the mean service life is six years with a standard deviation of one-half year, we can calculate the probabilities as follows:

(1) Probability of service lives of at least five years:

We need to calculate the area under the normal curve to the right of five years. Using the Z-score formula, we find the Z-score corresponding to five years: Z = (5 - 6) / 0.5 = -2. We can then look up the corresponding probability in a standard normal distribution table or use statistical software to find the probability associated with a Z-score of -2. This gives us the probability of service lives of at least five years.

(2) Probability of service lives of exactly six years: Since the service life follows a normal distribution, the probability of exactly six years is zero since it is a continuous distribution. We can assign a very small positive probability to approximate "exactly" six years. (3) Probability of service lives of seven and one-half years: Similarly, we calculate the Z-score corresponding to seven and one-half years: Z = (7.5 - 6) / 0.5 = 3. We find the probability associated with a Z-score of 3 to determine the probability of service lives of seven and one-half years or longer. b. If the manufacturer offers service contracts of four years, we want to find the percentage of televisions that fail from wear-out during this period. We can calculate this by finding the area under the normal curve to the left of four years. Using the Z-score formula, we find the Z-score corresponding to four years: Z = (4 - 6) / 0.5 = -4. The corresponding probability gives us the percentage of televisions expected to fail during the four-year service period.

c. To achieve an expected wear-out rate of 2 percent or 5 percent, we need to determine the service period corresponding to these rates. We can use the Z-score formula in reverse to find the Z-score that corresponds to the desired wear-out rate. From there, we can calculate the corresponding service period by rearranging the Z-score formula and substituting the desired wear-out rate and the given mean and standard deviation values.

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The margin of error for the population mean is 5.601

What does the term "margin of error" mean?

Your results will deviate by how many percentage points from the actual population value, according to your margin of error. It is described as a very small percentage that is allowed for error in calculations.

Given c = 0.95

The significance level is obtained as follows:

alpha = 1 - c

alpha = 1 - 0.95

alpha = 0.05

Also, it is given that n = 150 and sigma = 35 .

The critical value of Z distribution at 0.05 level of significance can be computed in MS Excel using + NORMS INV (alpha/2) function as follows:

Thus, \(Z_{0.005/2}=1.96\)

Now, the margin of error can be computed as follows: ME = Critical Value x Standard Error

\(Z_{0.005/2}*\frac{sigma}{\sqrt{n} } \\= 1.96 * \frac{35}{\sqrt{150} } \\= 5.601\)

Thus, the margin of error for the population mean is 5.601

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Answer:

3) answer is 120     4) 105

Step-by-step explanation

3)     180 - (70+50) = 60

         180-60 = 120 <-- thats the answer

4) 180 - ( 80+25) = 75

     180 -  75 = 105 < thats the answer

The values of x and y in the given system of equations are x = 4.00 and y = 5.00. These values are obtained by solving the system using the method of substitution.

The given system of linear equations is:

0.50x + 0.20y = 3.00 ...(Equation 1)

x + y = 9.00 ...(Equation 2)

To solve this system of equations, we can use the method of substitution or elimination. Let's solve it using the method of substitution:

From Equation 2, we can express x in terms of y:

x = 9.00 - y

Substituting this expression for x in Equation 1, we have:

0.50(9.00 - y) + 0.20y = 3.00

Expanding and simplifying:

4.50 - 0.50y + 0.20y = 3.00

-0.30y = -1.50

Dividing both sides by -0.30:

y = -1.50 / -0.30

y = 5.00

Now, substitute this value of y back into Equation 2 to find x:

x + 5.00 = 9.00

x = 9.00 - 5.00

x = 4.00

Therefore, the values of x and y in the given system of equations are x = 4.00 and y = 5.00.

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The distance between points (3,-5) and (9,1) is of:

8.5 units.

Suppose that we have two points with coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.

The points for this problem are given as follows:

(3, -5) and (9,1).

Hence the distance is given as follows:

\(D = \sqrt{(9 - 3)^2+(1 - (-5))^2}\)

D = sqrt(72)

D = 8.5 units.

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Answer:

8.31

Step-by-step explanation:

-6n² = -414

[take away negative]

6n² = 414

[divide by 6]

n² = 69

n = 8.3066 (to 5 significant figures)

n = 8.31 (to 3 significant figures)

Answer:

A

Step-by-step explanation:

Answer: D. -1.58

Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58

Answer: Im not sure

Step-by-step explanation:

You didnt list the options therefore i cant answer this for you. :I

Answer:

i have made it in above picture

The formula to calculate the expected loss is given by the following formula: Expected Loss = Σ (Loss Amount * Probability of Loss)To calculate the expected loss, we need to first multiply the loss amount with the probability of loss, and then add the products.

a. $0 .30Loss amount, X = $0Probability of loss, P(X) = 0.30Expected loss = 0 * 0.3 = $0b. $120 .50Loss amount, X = $120Probability of loss, P(X) = 0.50Expected loss = 120 * 0.5 = $60c. $200 .20Loss amount, X = $200Probability of loss, P(X) = 0.20Expected loss = 200 * 0.2 = $40, the expected loss for the given probabilities of various losses is $0 for a), $60 for b) and $40 for c). The total expected loss would be the sum of all expected losses i.e. $100.

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Answer:

11i= √-1

Step-by-step explanation:

So first take 1 to the other side so we can leave the numbers with I on one section. So when we take 1 to the other side it becomes negative so 0-1 = -1. Since the 8 is squared to get rid of it were going to put a square root on the whole equation. √8i² + 9i = √-1 and we have to put the square root on the other side of the equation to make it equal. So on the other side we now have 8i + 3i *because the square root of 9 is 3* and then the -1 stays like that so its 11i= √-1 because we combine the 8i and 3i. Happy I could help!!!

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer: We would multiply the standard error by 2.845 to find the margin of error for a 99% confidence interval.

Step-by-step explanation:

To find the t-score to multiply by the standard error, we need to look at the t-distribution table with degrees of freedom (df) equal to n-2, where n is the number of observations.

In this case, n = 22, so the degrees of freedom will be df = 22 - 2 = 20.

We want a 99% confidence interval, which means that we need to find the t-score that corresponds to the middle 99% of the t-distribution. Since this is a two-tailed test, we need to find the t-score that cuts off 0.5% of the distribution in each tail.

Using a t-distribution table or a statistical software, we can find that the t-score for a 99% confidence interval with 20 degrees of freedom is approximately 2.845.

Therefore, we would multiply the standard error by 2.845 to find the margin of error for a 99% confidence interval.

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Answer:

0.3

Step-by-step explanation:

→ State formula

Δ Quantity demanded ÷ Δ Price

→ Substitute in the numbers

6 ÷ 20 = 0.3