Find the original price of a jacket that was on sale for 20% off with the discount amount equaling 11.20

238.20 cubic inches of cotton is needed if the remaining space is to be filled with cotton for padding. The volume of cotton needed is obtained by subtracting the volume of four glass balls from the volume of the box.

The radius of a glass ball = 2.5 inches.

The volume of a ball = \(\frac{4}{3}\pi r^3\)

                                   = \(\frac{4}{3}\times 3.14\times (2.5)^3\)

                                   = 65.42 cubic inches.

The volume of 4 balls = 4 × 65.42 cubic inches

                                    = 261.67 cubic inches.

Length of the box = 4 × 2.5 × 2 = 20 inches,

Width of the box = 2.5 × 2 = 5 inches,

Height of the box = 2.5 × 2 = 5 inches.

So,

the volume of the box = Length × Width × Height

                                     = 20 × 5 × 5

                                     = 500 cubic inches.

Now,

The volume of cotton needed = the volume of the box - the volume of 4 balls.

= 500 - 261.67

= 238.20 cubic inches.

Thus, if the remaining space is to be filled with cotton for padding, 238.20 cubic inches of cotton is needed.

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Answer:

Step-by-step explanation:

180-96

180-96 = 84

96 + 84 = 180

Answer:

84

Step-by-step explanation:

Let x equal how much 96 is plussed by to get 180.

96 + x = 180

Switch the equation to subtraction:

180 - 96 = 84

Now, let's check our work!:

96 + 84 = 180

Hope this helps!

Step 1: Find the number of bronze members

40% of the gym's members are bronze members. Therefore, we need to find 40% of 4000. We can do this either by multiplying 4000 by 0.4 (40% as a decimal) or setting up a proportion. I will demonstrate the proportion method.

percent / 100 = part / whole

40 / 100 = x / 4000

---Cross multiply and solve algebraically.

100x = 160000

x = 1600 bronze members

Step 2: Find the number of silver members

Using the same methodology as last time, we can set up and solve a proportion to find the number of silver members.

percent / 100 = part / whole

25 / 100 = y / 4000

100y = 10000

y = 1000 silver members

Step 3: Find the number of gold members

Now that we know how many bronze and silver members the gym has, we can subtract those values from the total number of members to find the number of gold members.

4000 - bronze - silver = gold

4000 - 1600 - 1000 = gold

gold = 1400 members

Answer: 1400 gold members

ALTERNATIVE METHOD OF SOLVING

Alternatively, we could have used the given percents and only used one proportion. We know percents have to add up to 100. We are given 40% and 25%, which means the remaining percent is 35%. Therefore, 35% of the members are gold members. Just as we did for the silver and bronze members above, we can set up a proportion and solve algebraically.

percent / 100 = part / whole

35 / 100 = z / 4000

100z = 140000

z = 1400 gold members

Hope this helps!

Answer:

B. -2 *4

Step-by-step explanation:

To solve the given problems, we will use conditional probability.

Conditional Probability of Accidents Being Foggy Given No Deaths:

Let F represent the event that an accident occurred in foggy conditions, and D represent the event that no deaths occurred.

We are required to find P(F | D).

Using Bayes' theorem, we have:

\(P(F | D) = \frac{{P(D | F) \cdot P(F)}}{{P(D)}}\)

We are given:

\(P(D | F) = 1 - \frac{1}{6} = \frac{5}{6} \quad (\text{Probability of no deaths given foggy conditions})\\P(F) = 0.23 \quad (\text{Probability of foggy conditions})\\P(D) = 1 - P(\text{death}) = 1 - (P(\text{death | foggy}) \cdot P(\text{foggy}) + P(\text{death | rainy}) \cdot P(\text{rainy}) + P(\text{death | sunny}) \cdot P(\text{sunny}))\\= 1 - \left(\frac{1}{6} \cdot 0.23 + \frac{1}{10} \cdot 0.23 + \frac{1}{29} \cdot 0.54\right) \approx 0.890\)

Substituting the given values into Bayes' theorem:

\(P(F | D) = \frac{\left(\frac{5}{6} \cdot 0.23\right)}{0.890} \approx 0.128\)

Therefore, the conditional probability that it was foggy at the time given no deaths occurred is approximately 0.128.

Conditional Probability of Event B Given Event A:

We are given:

P(A | B) = 0.74 (Probability of event A given event B)

P(A | B') = 0.90 (Probability of event A given the complement of event B)

P(B) = 0.22 (Probability of event B)

We want to find P(B | A).

Using Bayes' theorem, we have:

\(P(B | A) = \frac{{P(A | B) \cdot P(B)}}{{P(A)}}\)

We are not given the value of P(A), so we need additional information to calculate it. Without knowing P(A), we cannot determine P(B | A) using the given information.

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Answer: 130°

Step-by-step explanation:

Concept to know:

Linear pair: two angles that forms one line

One line: 180°

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

x+50=linear pair

x+50=180

     x=130°

Hope this helps!! :)

Please let me know if you have any question

Answer:

shade all of the squares with two capital Ns (NN) red. Shade all the squares with one capital N and one Lowercase n with green. Leave the rest (nn) unshaded.

Step-by-step explanation:

So the vertex form of the equation is: y = -(x + 3)² + 2.

To change the standard form y = -x² - 6x - 7 to vertex form, we need to complete the square.

First, let's factor out the negative sign:

y = -(x² + 6x + 7)

Next, we need to add and subtract a constant term inside the parentheses that will allow us to complete the square:

y = -(x² + 6x + 9 - 9 - 7)

Now, we can group the first three terms and factor the quadratic trinomial inside the parentheses:

y = -(x + 3)² + 2

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Answer:

x = 9

Step-by-step explanation:

13x + 2 + 5x -7 +3x -4 =180

21x-9 = 180

21x = 180 +9

x = 189/21

x = 9

Answer:

c. 3.2

Step-by-step explanation:

5(x+2)=7(4-x)

5(x+2)=7(-x+4)

5x+5*2=-7x+7*4

Answer:

1.  C.

2. D.

3. D.

Step-by-step explanation:

A.  Round both dimensions the nearest whole number. 8 1/3 rounds to 8,     6 3/4 rounds to 7. Multiply these two and your estimate for the tarp area is 56 sq yds. Option C.

B. Convert both mixed numbers to improper fractions. Multiply whole number by divisor and add the dividend. (8*3) + 1 = 25. First number is 25/3.(6*4) + 3 = 27. Second number is 27/4. Multiply these two numbers fractions  and get 225/4. Convert to a mixed number, 56 1/4. Option D.

C. This answer is reasonable. 56 1/4 is pretty close to our estimate of 56 sq yds. Or just choose the option that corresponds to your estimate from part A. Option D.

Answer:

Below

Step-by-step explanation:

600 = cost

.08 * 600 = tax    

Add the two together    600 + .08 (600) = 1.08 * 600 = $ 648

The total number of oranges in the basket is 95.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Of a basket of oranges,

20% of them are defective and 76 are in good condition.

Let x be the total number of oranges.

That means 80% = 76 oranges are in good condition.

20% in decimal form is 0.2.

Applying the percentage formula,

(1 - 0.2)x = 76

0.8x = 76

x = 95

And 20% of 95 = 19

Therefore, the total = 95.

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Answer:

what is the question?? nebebaiajbw

The objective function value for this problem is 6279. The correct answer is c. 6279.

To compute the objective function value for the given problem, we need to find the values of X and Y that satisfy the constraints and minimize the objective function.

The constraints are as follows:

2X ≥ 0

21X + 23Y = 483

X + Y ≥ 0

Let's solve the second constraint for Y:

21X + 23Y = 483

23Y = 483 - 21X

Y = (483 - 21X) / 23

We can substitute this value of Y in the third constraint to eliminate Y:

X + Y ≥ 0

X + (483 - 21X) / 23 ≥ 0

Simplifying the inequality:

23X + 483 - 21X ≥ 0

2X + 483 ≥ 0

2X ≥ -483

X ≥ -241.5

Since X must be greater than or equal to zero according to the first constraint, the feasible range for X is X ≥ 0.

Now, substituting the feasible values of X in the objective function:

273X + 299Y = 273(0) + 299Y = 299Y

To minimize this expression, we need to find the minimum value of Y.

Using the second constraint:

21X + 23Y = 483

21(0) + 23Y = 483

23Y = 483

Y = 21

Substituting this value of Y in the objective function:

273X + 299Y = 273(0) + 299(21) = 0 + 6279 = 6279

Therefore, the objective function value for this problem is 6279. The correct answer is c. 6279.

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Answer:

8x + 12

Step-by-step explanation:

2x + 3 + 2x + 3 + 2x + 3 + 2x + 3

8x + 12

Answer:

8x + 12

Step-by-step explanation:

3+3+3+3=12

2+2+2+2=8

da x stays da same

The probability that each category is kept together is 0.000079.

To calculate the probability of each category being kept together, we need to calculate the total number of ways the books can be arranged on the shelf, as well as the number of ways that the books in each category can be arranged together.

First, let's calculate the total number of ways the books can be arranged on the shelf:

Total number of ways to arrange the books = 9! = 362,880

Now, let's calculate the number of ways that the math books can be arranged together:

Number of ways to arrange the 4 math books = 4! = 24

Similarly, the number of ways to arrange the history books together and the science books together are:

Number of ways to arrange the 2 history books = 2! = 2

Number of ways to arrange the 3 science books = 3! = 6

Since there are three categories of books that need to be kept together, we need to multiply these probabilities together to get the total probability:

Total probability = (number of ways to arrange math books) x (number of ways to arrange history books) x (number of ways to arrange science books) / (total number of ways to arrange books)

Total probability = (24 x 2 x 6) / 362,880

Total probability = 0.00007916

Rounded to 6 decimal places, the probability that each category is kept together is 0.000079

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The shape of the histogram below is known as a uniform shape.

A uniform shaped histogram is indicated if the that the frequency of each interval is very similar to the other.

The interval of the histogram is equal and the frequencies of each interval of the histogram are very similar to each other, therefore the graph is uniform shaped.

Therefore, the Option D is correct.

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Answer:

Angle 2 = 120 degrees, Angle 1 = 60 degrees

Step-by-step explanation:

Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.

x+x+60=180

2x+60=180

2x=120

x=60

Angle 1 = 60

Angle 2 = 60+60=120

Answer:

It's around 459. So 460 if need to round

Step-by-step explanation:

So, 40 randomly chosen people do not represent  the whole school, but using the ratio 27:40 you are given in the equation, you can divide the number of students (680) by the surveyed students (40) to get 17. What this means is there is 17 groups of 40 in the school, so to distribute the amount of people who are in a after-school activity, you must multiply 17 x 27 to get the assumption of about 459 kids. Hopefully you understand =)

Answer:

see explanation

Step-by-step explanation:

\(\frac{2}{1+e^{-2} }\) ← evaluate \(e^{-2}\) using calculator

= \(\frac{2}{1+0.135}\)

= \(\frac{2}{1.135}\)

= 1.762.....

≈ 1.8 ( to 1 dec. place )

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

Step-by-step explanation:

When 2 negative numbers add together it will always be a negative number. Example: -4 + (-5) = -9

Answer:

x² + 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

The line integral of \(xyz^2\) ds over the curve C is equal to 2√6.

To evaluate the line integral ∫\(_C xyz^2\) ds, where C is the line segment from (-1, 4, 0) to (1, 5, 1), we need to parameterize the curve and then evaluate the integral using the parameterization.

We can parameterize the curve C as r(t) = (-1 + 2t, 4 + t, t), for t between 0 and 1.

Then, the line integral becomes:

∫\(_C xyz^2\) ds = ∫\(_0^1 (-1 + 2t)(4 + t)t^2\) ||r'(t)|| dt

To compute the magnitude of the derivative r'(t), we differentiate each component of r with respect to t and then take the magnitude:

r'(t) = (2, 1, 1)

||r'(t)|| = √\((2^2 + 1^2 + 1^2)\) = √6

Substituting this into the integral and simplifying, we get:

∫\(_C xyz^2\) ds = ∫\(_0^1 (-4t^5 + 2t^4 + 4t^3 - 2t^2)\) √6 dt

Evaluating this integral using the power rule and simplifying, we get:

∫\(_C xyz^2\) ds = \([-t^6 + 2/3 t^5 + 2t^4 - 2/3 t^3]_0^1\) * √6

∫\(_C xyz^2\) ds = (4/3 - 2/3) * √6 = 2√6

Therefore, the line integral of \(xyz^2\) ds over the curve C is 2√6.

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Answer:

6tg67g76g76g76

Step-by-step explanation:

Answer:

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

I can't graph it so use desmos.

Answer:

18.583

Step-by-step explanation:

I just did the math and checked my answer with a calculator

Answer:

18.5833333333

Step-by-step explanation:

o.18 22-12

103-96=7