Find the price of a $35 basketball that is on sale for 50% off the regular price.

Please show work w/clear explanation this is due in 1 hour!!!!!! Please help sson as possible thx

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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Answer:

How much should I spend on rent and utilities?

We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.

Step-by-step explanation:

Answer:

the correct answer is e.$400

Answer:

d= -13

Step-by-step explanation:

-4 ( -d - 4 ) = - 4d + 6 (2d + 6 )

4d - 16 = -4d + 12d + 36

4d - 16 = 8d + 36

- 4d        - 4d

- 16 = 4d + 36

-36          -36

-52 = 4d

-52/4  4d/4

-13 = d  

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer:

Yes they’re independent.

Step-by-step explanation:

For any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

Since r and s are rational numbers, they can be expressed as a ratio of integers:

r = a/b

s = c/d

where a, b, c, and d are integers and d and b are nonzero.

Then,

2r + 3s = 2(a/b) + 3(c/d)

= (2ad + 3bc)/(bd)

Since the product and sum of any two integers is also an integer, we know that 2ad and 3bc are integers. Thus, the numerator is the sum of two integers, which means it is also an integer. The denominator is the product of two nonzero integers, which means it is also nonzero. Therefore, 2r + 3s is a ratio of integers, and hence it is a rational number.

Therefore, for any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

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\(24^{1/3}=\sqrt[3]{24}=\sqrt[3]{8 \cdot 3}=\sqrt[3]{8}\sqrt[3]{3}=\boxed{2\sqrt[3]{3}}\)

Step-by-step explanation:

What you do pretty much is combine the parts with f and combine the regular numbers

\( - 2.6f + 0.3f = - 2.3f\)

\( - 15 - 4 = - 19\)

\( - 2.3f - 19\)

1.The probability of a coin toss resulting in heads can be found by integrating the PDF of P over the range (0, 1). The result is approximately 0.581.

2.Given that a coin toss resulted in heads, the conditional PDF of P at p = 0.53 can be found by evaluating the PDF function at p = 0.53. The value is approximately 0.53 * e^(0.53) = 0.850.

3.The joint PDF of P and the outcome of the second coin toss, with the condition that the first toss is heads. The result is approximately 0.618, indicating a slightly higher probability of heads compared to the unconditional probability of 0.581.

To find the probability that a coin toss results in heads, we need to integrate the PDF of P over the range (0, 1). The PDF is given as f_p(p) = p * e^p, if p belongs to (0, 1), and 0 otherwise. Integrating this function over the range (0, 1) gives us the probability:

P(heads) = ∫[0,1] p *\(e^p dp\)

Evaluating this integral, we find that the probability of a coin toss resulting in heads is approximately 0.581.

Given that a coin toss resulted in heads, we want to find the conditional PDF of P at p = 0.53. The conditional PDF is obtained by evaluating the PDF function at p = 0.53:

\(f_p|H(p = 0.53)\) = 0.53 *\(e^0.53\)

Evaluating this expression, we find that the value of the conditional PDF at p = 0.53 is approximately 0.850.

Given that the first coin toss resulted in heads, we want to find the conditional probability of heads on the next toss. This can be found by integrating the joint PDF of P and the outcome of the second coin toss, with the condition that the first toss is heads:

P(heads|H) = ∫[0,1] p *\(e^p\) dp / ∫[0,1] p * \(e^p\) dp + ∫[0,1] (1-p) * \(e^(1-p) dp\)

Evaluating this integral, we find that the conditional probability of heads on the next toss, given that the first toss was heads, is approximately 0.618. This indicates a slightly higher probability of heads compared to the unconditional probability of 0.5.

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90% confidence interval = (0.957, 1.003) (not valid because number of failures is less than 10)

Given,

Random sample = 100

Based on the above scenario, sample size n = 100 and number of chips that met the specification is x = 98

--> Sample proportion p = x/n

--> 98/100

--> 0.98

By z-critical table, z-critical value is 1.645 for 90% confidence level.

Formula to calculate the confidence interval

Confidence interval = p ± z √(1-p)*p/n

Confidence interval = 0.98 ± 1.645√(1-0.98) *0.98/100

Confidence interval : (0.957, 1.003)

Hence, 90% confidence interval for population proportion is (0.957, 1.003) (it is not valid)

So,

Number of success is 98 and number of failures is 100-98 --> 2, which is less than 10. It implies that the necessary condition of 10 successes and 10 failures is not satisfied. Hence, confidence interval cannot be calculated for given data.

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The volume of the air mattress in liters is 385.43 liters approx.

For an ideal gas(or a gas that behaves sufficiently like an ideal gas), we have the following relation:

\(\rm PV = nRT\)

where, the symbol denotes:

For the given case, the gas in the air mattress has following properties:

P = 3.5 kilopascals =3500 pascals

T =295 K

n = 0.55 moles

V = volume of gas in air mattress = volume of mattress (to evaluate).

Thus, using the ideal gas law, we get:

\(V = \dfrac{nRT}{P} = \dfrac{0.55 \times 8314.46261815324 \times 295}{3500} \approx 385.43 \: \rm liters\)

Thus, the volume of the air mattress in liters is 385.43 liters approx.

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Answer:

385 L

Step-by-step explanation:

Wi represents the weight of the course, and xi represents the grade received for that course.

Care must be taken when assigning variables to weights and observations, because the average grade point average (GPA) is the average grade received for each hour of coursework taken.

Therefore, each grade must be weighed against the number of credits for that course.

For example, if two courses are worth 3 credits and one course is worth 6 credits, then the GPA would be calculated by adding the three grades together and then dividing by the sum of the credits (3+3+6=12).

In this case, a grade of A in the 6 credit course would have a greater impact on the GPA than the same grade in the 3 credit course.

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The sampling distribution is based on the assumption that the null hypothesis is true.

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

A two-tailed test can be defined as a type of hypothesis test in which a rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution.

In this context, we can infer and logically deduce that the sampling distribution is based on the assumption that the null hypothesis is true.

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The answers to each sub-question are:

1) there are 81, 4-draw permutations.

2) there are 15, 4-draw combinations.

3) there are 35 3-draw combinations.

What are the permutations and combinations?

A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.

1. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is important, we can use the formula for permutations with repetition:

\(n^r\), where n is the number of options for each draw and r is the number of draws.

In this case, n = 3 and r = 4, so the number of 4-draw permutations is:

3⁴ = 81

Therefore, there are 81 4-draw permutations.

2. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is unimportant, we can use the formula for combinations with repetition:

(n+r-1) choose r, where n is the number of options for each draw and r is the number of draws.

In this case, n = 3 and r = 4, so the number of 4-draw combinations are:

(3+4-1) choose 4 = 6 choose 4 = 15

Therefore, there are 15 4-draw combinations.

3. There are 7 balls in the urn, and we want to choose 3 of them without replacement (no repeats) and without regard to order (order is unimportant). We can use the formula for combinations without repetition:

n choose r, where n is the total number of objects and r is the number we want to choose.

In this case, n = 7 and r = 3, so the number of 3-draw combinations are:

7 choose 3 = (7 x 6 x 5) / (3 x 2 x 1) = 35

Therefore, there are 35 3-draw combinations.

Hence, the answers to each sub-question are:

1) there are 81, 4-draw permutations.

2) there are 15, 4-draw combinations.

3) there are 35 3-draw combinations.

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The volume of the cylinder would be 160π units³.

The volume of cylinder is given as -

V = πr²h

Given is a cylinder as shown in the image attached.

We can write the volume of the cylinder as -

V = πr²h

V = π x 4 x 4 x 10

V = 160π units³

Therefore, the volume of the cylinder would be 160π units³.

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Answer:

b

Step-by-step explanation:

There were 50 more in August compared to October.

Answer:

50

Step-by-step explanation:

400-350=50

there are 50 soft drink bottles

Answer:

0 Blankets

Step-by-step explanation:

2.5 yards is 7.5ft, and Molly only has 2.5ft, so she can not make a blanket.

Answer:

Monaco is the country with the highest median age in the world. The population has a median age of around 55 years, which is around seven years more than in Japan and Saint Pierre and Miquelon – the other countries that make up the top three.

Step-by-step explanation:

Answer:

(-∞ , -3) ∪ (-3 , ∞)

Step-by-step explanation:

when x+3=0 f(x) -> ∞

undefined point: x = -3

solution: x < -3 or x >-3

Interval notation: (-∞ , -3) ∪ (-3 , ∞)

If you agree this answer, just give me a happy face, Nothing else.

A relation may or may not represent a function.

The given relation is a function

For a relation to be a function, each x-value must have one unique corresponding y-value

The relation can be interpreted as:

\(x \to y\)

\(-2 \to 3\)

\(0 \to -1\)

\(5 \to 8\)

\(7 \to 5\)

Notice that, each value of x have distinct corresponding y-value.

This means that, the relation satisfies the condition to be a function.

Hence, the relation is a function

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About 1.7155 * 10¹⁰ disposable diapers are thrown each year in the United States.

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

Approximately 4.7× 10⁷ disposable diapers are thrown away each day in the United states.

There are 365 days in a year. Hence:

Number of diapers thrown yearly = 4.7× 10⁷ disposable diapers per day * 365 days = 1.7155 * 10¹⁰

1.7155 * 10¹⁰ diapers are thrown each year

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The point at which the line intersects the plane x = t − 1, y = 1 + 2t, z = 3 − t and 6x − y + 5z = 9  is (-2, -1, 4).

Substituting the parametric equations of the line into the equation of the plane and solving for the parameter t.

Now substituting the parametric equations of the line into the equation of the plane, we get:

6x - y + 5z = 9

6(t-1) - (1+2t) + 5(3-t) = 9

Simplifying this expression, we get:

-3t + 8 = 9

Solving for t, we get:

t = -1

Now that we have found the value of t, we can substitute it back into the parametric equations of the line to find the point of intersection:

x = t - 1 = -2

y = 1 + 2t = -1

z = 3 - t = 4

Therefore, the point at which the line intersects the plane is (-2, -1, 4).

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Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.

To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:

1. Draw a line segment PQ of length 7.5 cm using a ruler.

2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.

3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.

4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.

5. Connect points P and Q with a straight line segment to complete triangle PQR.

6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.

7. Connect points P and S to form the line segment PS.

8. Measure the length of line segment PS using a ruler.

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