HELP ME OUT PLS AND HAVE A SHORT ANSWER PLS!!!!!!!

Anthony's sink is shaped like a half-sphere, and it has a volume of 5121 cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out. The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup? In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it. (NOTE: Type out your work & write out your explanation for full credit.)​

Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

\(P(A) = 0.8*0.75 + 0.3*0.25 = 0.675\)

Probability of a person being approved and being qualified:

80% of 75%, so:

\(P(A \cap B) = 0.8*0.75\)

Find the probability that a person is qualified if he or she was approved by the manager.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889\)

The probability is: 0.8889.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

\(3 {}^{4x - 5} = ( \frac{1}{27} ) {}^{2x + 10} \\ note \: \: that = \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3} \\ \\ 3 {}^{4x - 5} = (3 {}^{ - 3} ) {}^{2x + 10} \\ 3 {}^{4x + 5} = 3 {}^{ - 3(2x + 10)} \\ equal \: \: bases = > equal \: exponents\)

\(4x - 5 = - 3(2x + 10) \\ 4x - 5 = - 6x - 30 \\ 4x + 6x = - 30 + 5 \\ 10x = - 25 \\ x = - 2.5\)

Answer:

x = -2.5

Step-by-step explanation:

3^(4x-5)=(1/27)^(2x+10)

We are working with exponents

We can rewrite 1/27 as 3^-3

3^(4x-5)=(3^-3)^(2x+10)

Now we know that a^b^c = a^(b*c)

3^(4x-5)=3^( -3* (2x+10))

3^(4x-5)=3^( -6x -30)

The bases are the same so the exponents must be the same

4x-5 = -6x-30

Add 6x to each side

4x-6+6x = -6x-30+6x

10x-6 = -30

Add 5 to each side

10x-5+5 = -30 +5

10x = -25

Divide by 10

10x/10 = -25/10

x = -2.5

Answer:

Because different lines meet at A forming different angles

Step-by-step explanation:

Let the unlabeled point on the diagram be E

In the attached diagram, you notice that line BA, CA, DA and EA meets at A;

These lines form different angles which are BAC, BAD, BAE, CAB, CAD, CAE, DAC, DAB, DAE, EAD, EAC, EAB

Because of the numerous angles formed at A, no angle can be referred to as <A

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

Answer:

A or 53 squared

Step-by-step explanation:

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Step-by-step explanation:

by adding 12 to both sides, we get

A feasible region does not exist.

A feasible region in linear programming refers to the set of points in the decision space that satisfies all the constraints and the non-negativity conditions. The conditions are limitations on the decision variables. The non-negativity conditions specify that all decision variables must be greater than or equal to zero.

If a feasible region does not exist, it means that no solution to the linear programming problem satisfies all the constraints, including the non-negativity conditions. In other words, no points in the decision space meet the requirements set by the constraints and the non-negativity conditions simultaneously. This situation is also referred to as infeasibility.

In a feasible region that does not exist, there is no solution that can optimize the objective function, as the decision variables cannot meet the requirements set by the constraints. This is a common issue in linear programming problems and can be caused by a variety of reasons, such as unrealistic constraints or conflicting constraints.

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The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

-5/12

Step-by-step explanation:

Convert to twelfths.  Then subtract.

Change 3/4 to 9/12 and 1/3 to 4/12.

4/12 - 9/12 = -5/12

\(\begin{aligned}\frac{5}{8}-\frac{1}{3}&=\frac{15-8}{24}\\&=\bf\frac{7}{24}\end{aligned}\)

Answer:

m<ACD = 124 degrees

Step-by-step explanation:

(2x+8) + (x-2) = 180 degrees

This is because both angles are on the same line (so they are a linear pair) and a straight line is 180 degrees. This means that they are supplementary

So:

(2x+8) + (x-2) = 180

Combine like terms:

2x + x + 8 - 2 = 180

3x + 6 = 180

      -6     -6

3x = 174

Divide both sides by 3

x = 58

Now that you know x, you can put it into the equation for m<ACD:

2x+8

(2 multiplied by 58) + 8

(116) + 8

124

m<ACD = 124 degrees

Feel free to ask any follow-up questions if u don't understand

Answer:

The total weight change for the eight women was -24.

Step-by-step explanation:

In order to find the answer, you have to consider that average is calculated by dividing the total weight change by the number of women and you know that the average was they lost 3 pounds and there were 8 women:

Average= total weight change/number of women

-3=total weight change/8

total weight change=-3*8

total weight change=-24

According to this, the answer is that the total weight change for the eight women was -24.

Answer:

Option (2)

Step-by-step explanation:

Given :  y = \(\frac{x+3}{6-x}\)

If x = 7i

y = \(\frac{7i+3}{6-7i}\)

By simplifying denominator of the given rational expression,

y = \(\frac{7i+3}{6-7i}\times \frac{6+7i}{6+7i}\)

y = \(\frac{(7i+3)(6+7i)}{6^2-(7i)^2}\)

y = \(\frac{7i(6+7i)+3(6+7i)}{36-49i^2}\)

y = \(\frac{42i+49i^2+18+21i}{36+49}\) [Since, i² = (-1)]

y = \(\frac{63i-49+18}{85}\)

y = \(\frac{63i-31}{85}\)

y = \(-\frac{31}{85}+\frac{63}{85}i\)

Therefore, Option (2) is the correct option.

Answer:

Step-by-step explanation:

We know that:

Let's use the triangle property to solve for x.

Work:

Hence, the value of x is 86°

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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The no of people take more than 19 mins are above 50%

1. Break it down: Divide the topic into smaller subtopics or concepts. This can make it easier to understand and digest each piece of information.
2. Research: Look up definitions, explanations, or examples related to the terms or concepts you're trying to understand. This can help clarify any confusion or uncertainty.
3. Take notes: Write down important information, key points, or definitions as you research. This can help you remember and better understand the material.
4. Ask questions: If you're still unsure about certain aspects, don't hesitate to ask for help or clarification from a teacher, tutor, or friend.
5. Practice: Apply what you've learned to related problems or questions. Practicing can help reinforce your understanding

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Answer:

d☹HAHAHAHAHAHAHAHAHAHAHAHHAAHAHHAHAHAHAHAHAHAHAHAHAHAHAHAAHHAHAAHAHAHAHAHAHAHAHAHHAHA

The base of the prism in this problem is given as follows:

A) 15 m.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions in the context of this problem are given as follows:

25 m, 20 m and x.

The volume is given as follows:

7500 m³.

Applying the equation for the volume, the value of x is given as follows:

25 x 20x = 7500

500x = 7500

x = 7500/500

x = 15 m.

The problem is given by the image presented at the end of the answer.

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84% of the students have grade point averages that are at least 2.16

Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean,  95% are within two standard deviation from the mean,  99.7% are within three standard deviation from the mean.

68% = mean ± standard deviation = 2.61 ± 0.45 = (2.16, 3.06)

The percentage of the students have grade point averages that are at least 2.16 = 68% + (100% - 68%)/2 = 84%

84% of the students have grade point averages that are at least 2.16

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Answer:

17

Step-by-step explanation:

The closest perfect cube (to 360) is 343 (7^3) .

360-343 = 17

Subtract 17.

Answer:

You should subtract 17 from 360 to make a perfect cube

Step-by-step explanation:

The calculated time of is that the baseball game was 1 7/12 hour longer than the movie

The given parametes in the question are

Movie = 1 3/4 hours

Baseball = 3 1/3 hours

To calculate how much longer was the baseball game than the movie, we subtract

So, we have

Longer = 3 1/3 - 1 3/4

Evaluate

Longer = 19/12

This gives

Longer = 1 7/12

Hence, the baseball game was 1 7/12 hour longer than the movie

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Answer:

The volume is 45 cubic units.

So enter "45" into the box.

Step-by-step explanation:

Multiply the dimensions to get the volume. (Length times width times height)

The box is 5 units by 3 units by 3 units.

Solve 5x3x3 (LxWxH) using a calculator...

And you get 45 cubic units.

Answer:

45

Step-by-step explanation:

L= 3

W= 5

H= 3

V=LxWxH

3 x 3 x 5