Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

On solving the provided question, we can say that the inequality that will be formed is  \(1\leq x\leq 1.5 and 6\leq y\leq 8\) and Two possible combinations are (1.25.7). (1.35.7.5)

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

the inequality that will be formed is

\(1\leq x\leq 1.5\\6\leq y\leq 8\)

Two possible combinations are (1.25.7). (1.35.7.5)

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Answer:

 x +   y = 29

5x + 2y = 100

Step-by-step explanation:

Has 29 problems

then

x + y = 29

x be the number of worth 5 points questions:

5x

y be the number of worth 2 points questions

2y

the total both worth is 100 points

then:

5x + 2y = 100

Answer:

x + y = 29          5x + 2y = 100

Answer:

answer in picture

Step-by-step explanation:

A) I only . In order to use t-procedures for constructing a confidence interval, the samples should be approximately normally distributed.

Option I suggests that one sample is roughly symmetric and the other is moderately skewed left, but there are no outliers. This suggests that the normality condition may be met and t-procedures can be used. Option II indicates that both samples are roughly symmetric, but one sample has an outlier. This may violate the assumption of normality and t-procedures may not be appropriate.

Option III suggests that both samples are strongly skewed to the right, which also violates the normality assumption and t-procedures are not recommended.

Therefore, the correct answer is A) I only.

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Answer:

Step-by-step explanation:

if we divide 4/9=0.444444444

repeating decimal

Answer:

the anaswer is 4

Step-by-step explanation:

i got it right'

Answer:

200

Step-by-step explanation:

4 multiplied by 50 = 200

400 divided by 200 = 2

so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)

Answer:

20

Step-by-step explanation:

a c will have the same angle as b d

a. It will take a dozen hens the same amount of time, a day and a half, to lay a dozen eggs.

The given information states that a hen and a half (1.5 hens) lay an egg and a half (1.5 eggs) in a day and a half. This implies that each hen lays 1 egg in 1 day.

Therefore, a dozen hens (12 hens) will lay a dozen eggs (12 eggs) in the same time frame, which is a day and a half.

b. It will take 9 days for 20 painters to paint 20 houses.

Given that 10 painters can paint 15 houses in 9 days, we can calculate the rate at which painters can paint houses.

This means that each painter can paint 1.5 houses in 9 days.

Therefore, to paint 20 houses, we need 20 painters, and the number of days required remains the same. So, 20 painters will also take 9 days to paint 20 houses.

c. It will take 14 days for 8 painters to paint 10 houses.

If 5 painters can paint 3 houses in 7 days, we can calculate the rate at which painters can paint houses.

This means that each painter can paint 0.6 houses in 7 days. Therefore, to paint 10 houses, we need 8 painters, and we can calculate the time required.

Hence, each painter can paint 0.6 houses in 7 days, so to paint 10 houses, 8 painters will take 14 days.

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the answer I think is he saved $2.9

Answer:

$2.9

Step-by-step explanation:

The Expression is:

14.5 − 0.8(14.5)

The Answer is:

$2.9

Answer:

Convert ounce to pound.

8 ounce is 0.5 lbs

x/0.5 = 17.95/1

x=8.975

Miss Lawrence spent about $8.98

Step-by-step explanation:

a) 26.43% of steers weigh over 1200 pounds.

b) 29.46% of steers weigh under 1100 pounds.

c) 7.26% of steers weigh between 1250 and 1300 pounds.

The proportion of steers that weigh over 1200 pounds the area to the right of 1200 under the normal curve with mean 1146 and standard deviation 86.

A z-score and the standard normal distribution to find this area.

The z-score is:

z = (1200 - 1146) / 86 = 0.63

A standard normal distribution table or calculator the area to the right of z = 0.63 is 0.2643.

The proportion of steers that weigh under 1100 pounds, the area to the left of 1100 under the normal curve with mean 1146 and standard deviation 86.

Again, we can use a z-score and the standard normal distribution to find this area.

The z-score is:

z = (1100 - 1146) / 86 = -0.54

A standard normal distribution table or calculator the area to the left of z = -0.54 is 0.2946.

The proportion of steers that weigh between 1250 and 1300 pounds The area between the z-scores corresponding to these weights.

The z-score for 1250 pounds is:

z1 = (1250 - 1146) / 86 = 1.23

The z-score for 1300 pounds is:

z2 = (1300 - 1146) / 86 = 1.79

A standard normal distribution table or calculator the area to the left of z1 is 0.8907, and the area to the left of z2 is 0.9633.

The area between z1 and z2 is:

0.9633 - 0.8907 = 0.0726

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The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Assuming an equal probability of having a girl or a boy for each child, the probability that a couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

If we assume that the probability of having a girl or a boy for each child is equal (which is a simplifying assumption), then the probability of having a girl for each child is 1/2, and the probability of having a boy is also 1/2.

To find the probability that the couple does not have girls for all three children, we need to find the probability of having a boy for each child. Since the gender of each child is independent of the others, we can multiply the probabilities together.

So, the probability of having a boy for the first child is 1/2, for the second child is also 1/2, and for the third child is also 1/2.

Multiplying these probabilities together, we get:

(1/2) * (1/2) * (1/2) = 1/8

Therefore, the probability that the couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

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The probability that she will choose to use a cab exactly one time is 4/9.

It has been given that In the morning she has 3 transportation choices. And in the evening the same 3 choices.

i) bus

ii) cab

iii) train

Since each choice have an equal chance of being chosen,

The probability of Choosing a bus will be 1/3

The probability of Choosing a cab will be 1/3

The probability of Choosing a train will be 1/3

Now, the Probability of Not Choosing the cab will be the sum of the probabilities of choosing a bus and train i.e, 2/3

Now there will be two possibilities-Either She chooses a cab in the morning and something else in the evening Or She chooses a cab in the evening and something else in the morning.

Therefore, the probability of choosing a cab exactly one time =

( Probability of cab in morning x Probability of no cab in the evening) + (Probability of no cab in morning x Probability of cab in evening)
Probability of choosing a cab exactly once

= 1/3 x 2/3  + 2/3 x 1/3

= 4/9

Therefore, the probability that she will choose to use a cab exactly one time is 4/9.

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The perimeter of a rectangle is given by the formula:

If the perimeter is 43.8 and the length is 12.4, we can find the width:

The width is 9.5 feet, therefore the answer is C.

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

\( = \sqrt{40} \)

Simplify the radical expression

\( = \sqrt{2 \times 2 \times 10} \)

\( = 2 \sqrt{10} \)

Hope this helps...

Best regards!!

Answer:

isD  

Step-by-step explanation:

Answer:

D) {-1200 < p < 12,000}

Step-by-step explanation:

have a good day

The length of a rectangle of  the rectangle is 11m.

A rectangle is a polygon with four sides and four angles. Each angle is 90° and it has two lines of symmetry.

let the length of the rectangle be L and the width be w, so that

L = 3 + 2w

Also perimeter = 2 ( L + w)

2( L + W) = 30

substitute L = 3 + 2W into the above equation

2( 3 + 2W + W) = 30

2(3 +3W) = 30

multiply the bracket by 2

6 + 6W = 30

6W = 24

W = 24/6

W = 4m

but L = 3 + 2W, when  W = 4m

L = 3 + (2 x 4)

L = 3 + 8

L = 11m

In conclusion the length of the rectangle is 11m

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Answer:

$30

Step-by-step explanation:

Adding up all the expenditures and the remaining amount

starting amount = expenses + remainder

starting amount = ($5 + $6 + $10 + $4) + ($5)

starting amount = $30

The number of students in each classroom will be best modeled by a discrete relationship.

What is discrete relationship?

Discrete relationships are those relationships that contain finite or countable elements which means that the elements of such a relationship are distinct.

We are given four choices, from which we need to find the one which can be best modeled by this.

The weight of dog over time, the temperature inside a car and the cost of bananas cannot be modeled by discrete relationship because these are continuous variables.

Hence, the number of students in each classroom will be best modeled by a discrete relationship.

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Answer:

greater

Step-by-step explanation:

way greater because if youre going to the negatives, youre subtracting farther into 0, which brings you into the negatives

Answer:

greater than

Step-by-step explanation:

any positive number will always be greater than any negative number

A function f maps an element from one domain to a unique range of elements, in this case the only ordered pair which satisfies the previous definition is:

O (2.2) (3,-2) (4,5)

This method runs in O(log n) time complexity because it uses a modified binary search algorithm to find the median.

To find the median in the set defined by the union of two sorted lists, a and b, of n elements each, you can follow these steps:

1. Calculate the total number of elements in both lists: total_elements = 2 * n.

2. Determine the middle index of the combined list: middle_index = total_elements // 2.

3. Use a modified binary search algorithm to find the element at the middle_index.

  a. Compare the middle elements of both lists,\(a[mid_a]\)and\(b[mid_b]\), where \(mid_a\) and \(mid_b\) are the middle indices of each list.

  b. If \(a[mid_a] <= b[mid_b],\) then the median must be present in the right half of list a and the left half of list b. Update the search range to the right half of list a and the left half of list b.

  c. If \(a[mid_a] > b[mid_b]\), then the median must be present in the left half of list a and the right half of list b. Update the search range to the left half of list a and the right half of list b.

4. Repeat steps 3a and 3b until the search range reduces to a single element.

5. Once the search range reduces to a single element, that element is the median of the combined list.

This method runs in O(log n) time complexity because it uses a modified binary search algorithm to find the median.

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T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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The approximate probability that greater than 99 out of 160 students will pass their college placement exams is 0.2831.

To approximate the probability using the normal distribution, we can use the concept of the binomial distribution approximation to the normal distribution. In this case, we have a large sample size (160 students) and a probability of success (passing the exam) that is not extremely small or large (64%).

To calculate the probability that greater than 99 out of 160 students will pass the exam, we can use the normal approximation to the binomial distribution. The mean of the binomial distribution is given by μ = n * p, and the standard deviation is given by σ = sqrt(n * p * (1 - p)), where n is the sample size and p is the probability of success.

In this case, n = 160 and p = 0.64.

Therefore, the mean is μ = 160 * 0.64 = 102.4,

and the standard deviation is σ = sqrt(160 * 0.64 * (1 - 0.64)) ≈ 5.1055.

Now, we can calculate the probability using the normal distribution. We want to find the probability of having more than 99 students pass the exam out of 160, which is equivalent to finding the probability that the number of successes is greater than 99.

We can standardize the value using the z-score formula: z = (x - μ) / σ, where x is the desired number of successes. In this case, x = 99.5 (to account for continuity correction, as we're dealing with a discrete distribution).

z = (99.5 - 102.4) / 5.1055 ≈ -0.565

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of -0.565, which is the probability of having more than 99 students pass the exam.

Looking up the z-score of -0.565 in the standard normal distribution table, we find that the probability is approximately 0.2831.

Rounding the answer to four decimal places, the approximate probability that greater than 99 out of 160 students will pass their college placement exams is 0.2831.

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Answer:

count the unit squares

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

We can use the Biot-Savart Law to calculate the magnetic field at point P due to each wire, and then add the two contributions vectorially to obtain the net magnetic field.

The magnetic field due to a current-carrying wire can be calculated using the formula:

d = μ₀/4π * Id × /r³

where d is the magnetic field contribution at a point due to a small element of current Id, is the vector pointing from the element to the point, r is the distance between them, and μ₀ is the permeability of free space.

Let's first consider the wire carrying current I₁ (in the positive X direction). The contribution to the magnetic field at point P from an element d located at position y on the wire is:

d₁ = μ₀/4π * I₁ d × ₁ /r₁³

where ₁ is the vector pointing from the element to P, and r₁ is the distance between them. Since the wire is infinitely long, we can assume that it extends from -∞ to +∞ along the X axis, and integrate over its length to find the total magnetic field at P:

B₁ = ∫d₁ = μ₀/4π * I₁ ∫d × ₁ /r₁³

For the given setup, the integrals simplify as follows:

∫d = I₁ L, where L is the length of the wire per unit length

d × ₁ = L dy (y - 1/2 L) j - x i

r₁ = sqrt(x² + (y - 1/2 L)²)

Substituting these expressions into the integral and evaluating it, we get:

B₁ = μ₀/4π * I₁ L ∫[-∞,+∞] (L dy (y - 1/2 L) j - x i) / (x² + (y - 1/2 L)²)^(3/2)

This integral can be evaluated using the substitution u = y - 1/2 L, which transforms it into a standard form that can be looked up in a table or computed using software. The result is:

B₁ = μ₀ I₁ / 4πd * (j - 2z k)

where d = 5 mm = 5×10^-3 m is the distance between the wires, and z is the coordinate along the Z axis.

Similarly, for the wire carrying current I₂ (in the negative X direction), we have:

B₂ = μ₀ I₂ / 4πd * (-j - 2z k)

Therefore, the net magnetic field at point P is:

B = B₁ + B₂ = μ₀ / 4πd * (I₁ - I₂) j + 2μ₀I₁ / 4πd * z k

Substituting the given values, we obtain:

B = (2×10^-7 Tm/A) / (4π×5×10^-3 m) * (30A - (-30A)) j + 2(2×10^-7 Tm/A) × 30A / (4π×5×10^-3 m) * (15×10^-2 m) k

which simplifies to:

B = (6e-5 j + 0.57 k) T

Therefore, the net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

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Answer:

A,D,E

Step-by-step explanation:

Please trust me!

PLEASE DRINK WATER AND TAKE A BREAK!!!

DONT OVER WORK YOURSELF! LOVE YOU PLEASE TAKE CARE!

<3

Answer:

A, D, E

Step-by-step explanation: