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Calculate the area of the pavement surrounding the swimming pool.​

Camel can drink 21 gallons of water in 14 minutes.

Given in question,

Gallons of water camel can drink in 10 minutes = 15

 Gallons of water camel can drink in 1 minutes = 15/10

                                                                              = 1.5

Gallons of water camel can drink in 14 minutes = 1.5 * 14

                                                                              = 21

Hence, camel can drink 21 gallons of water in 14 minutes.

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The confidence interval for the proportion of left-handed golfers is of:

(0.12, 0.18).

A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:

In the context of this problem, these parameters are given as follows:

Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:

0.15 - 0.03 = 0.12.

The upper bound of the confidence interval for the proportion of left-handed golfers is:

0.15 + 0.03 = 0.18.

Then the interval is:

(0.12, 0.18).

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75÷100=0.75

0.75×5=3.75

3.75×4=15

75+15=90

The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The length of PT is 10 and the angle ∠TPS is 60°.

The length of PR is given as,

PR = PT + TR

PR = 10 + 10

PR = 20

And the length of QS is given as,

QS = QT + TS

QS = 10 + 10

QS = 20

The area of the rectangle is given as,

A = Area of triangle ΔPQR + Area of triangle ΔPSR

A = 2 [(1/2) x (20 cos 60°) x (20 sin 60°)

A = 173.21 square units

The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

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Answer:

[tex]x + ( - 43) = 102 \\ x - 43 = 102 \\ x = 102 + 43 \\ x = 145[/tex]

Step-by-step explanation:

Let the unknown number be represented by x

since sum means addition, we are adding the unknown to -43 and equating it to 102 which is said to be the final answer.

After equating, we find out that we have two symbols and + multiplied by - is always -, giving us an equation as in step 2

after collecting like terms , we get an easy linear equation.

Answer:

1018.25

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

hope you do well on the quiz/test/assignment!

Answer:

76.93

Step-by-step explanation:

As the area of circle is πr^2

The area of semi-circle is

1÷2×πr^2

0.5×3.14×7×7

76.93

If a mixed fraction, 6(3/4) is divided by another fraction 1(2/3), then the quotient will be 4.05.

As per the question statement, a mixed fraction, 6(3/4) is divided by another fraction 1(2/3),

And we are required to calculate the quotient of the above mentioned division.

To solve this question, we will first convert the mixed fractions, into improper fractions, and then use the reciprocal rule to obtain our desired answer, that is,

[{6(3/4)}/1(2/3)]

= [{(4 * 6) + 3}/4]/[{(3 * 1) + 2}/3]

= [{(24 + 3)/4}/{(3 + 2)/3}]

= [(27/4)/(5/3)]

= [(27/4) * (3/5)]

= [(27 * 3)/(4 * 5)]

= (81/20)

= 4.05

Hence, when a mixed fraction, 6(3/4) is divided by another fraction 1(2/3), then the quotient will be 4.05

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The last option is correct.

The statistics student can be 99% confident that the interval from 0.526 to 0.704 captures the true proportion of all students at this school who are actively involved in a political party.

What is political party?

A political party is a group that arranges candidates to run in elections in a certain nation. It is typical for party members to share similar political viewpoints, and parties may support particular ideologies or policy objectives.

Given: A statistics student from a large high school takes a random sample of 200 students and finds that 123 are actively involved in a political party.

A 99% confidence interval for the proportion of students at this school who are actively involved in a political party is (0.526, 0.704).

Hence, the  statistics student can be 99% confident that the interval from 0.526 to 0.704 captures the true proportion of all students at this school who are actively involved in a political party.

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The value of [m] will be 2.

Given is the median of the ordered set of observations 2, 3, (4m-3), (3m + 1), 11 and 13 in ascending order is 6.

We have the following data as -

2, 3, (4m-3), (3m + 1), 11, 13

N = 6

So median will be -

{(4m - 3) + (3m + 1)}/2 = 6

(4m - 3) + (3m + 1) = 12

4m + 3m - 3 + 1 = 12

7m - 2 = 12

m = 2

Therefore, the value of [m] will be 2.

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The value of x in complementary angle is 12.5⁰.

We need to know about complementary angles to solve this problem. The complementary angle is the angle that can make another angle has a value of 90⁰. It can be written as

A + B = 90⁰

where A and B are the complementary angles.

From the question above, the given parameters are

A = 18⁰

B = (8x - 28)⁰

By substituting the given parameters, we can calculate the x value

A + B = 90⁰

18⁰ + (8x - 28)⁰ = 90⁰

8x = 90 - 18 + 28

8x = 100

x = 12.5⁰

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Answer: 12.5

Step-by-step explanation:

18+8x-28=90

18-18

90-18

8x-28=72

28+28

72+28

8x=100

8x/8

100/8

x=12.5

Yes, the points are the vertices of a right triangle and we will prove that by using the Pythagorean theorem.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

The distance between (-4, 8) and (8, 8) is:

d₁ = √( (-4 - 8)² + (8- 8)²) = 12

The distance between (8, 8) and (-4, 3) is:

d₂ = √( (8 + 4)² + (8- 3)²) = 13

The distance between (-4, 8) and (-4, 3) is:

d₃ = = √( (-4 + 4)² + (8 - 3)²) = 5

if the Pythagorean theorem is true, then the sum of the squares of the two shorter sides must be equal to the square of the larger side, then we must have that:

5² + 12² = 13²

Solving that we get:

25 + 144 = 169

169 = 169

This is true, so yes, the vertices are the vertices of a right triangle.

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Step-by-step explanation:

your welcome hope this helps

The cost of the bench is $325 and the cost of the garden table is $247.

The situation given in the question can be solved by using equation, with two unknown variables, x is the cost of the garden table and y is teh cost of the bench. Considering the garden table is $78 less than the bench. We get the equation for the value of x, then we substitute it in sum equation 1  to get the value of bench.

x+y=$572 ----------------(1)

x=y-$78 ---------------(2)

Substitute equation 2 in 1, we get.

y-$78+y=$572

2y-$78=$572

2y=$572+$78

2y=$650

y=650/2

y=$325

We got the cost of the bench, we substitute this value in equation 2, to get the value of garden table.

x=y-$78

x=$325-$78

x=$247

Hence, the cost of the bench is $325 and garden table is $247.

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Answer:

y = 5x + 2

Step-by-step explanation:

slope is 5

x = 1

y = 7  

Use this to find b for the new equation

y = mx + b

7 = (5)(1) + b

7 = 5 + b   Subtract 5 from both sides

2 = b

y = mx + b

y = 5x + 2

Answer:

  443,232,000 lb

Step-by-step explanation:

You want the weight in pounds of a pyramid 180 yd square and 90 yd high made of material weighing 456 lb/cubic yard.

The volume of the pyramid is given by the formula ...

  V = 1/3s²h . . . . . . . . where s is the side length and h is the height

  V = 1/3(180 yd)²(90 yd) = 972000 yd³

At a weight of 456 pounds per cubic yard, the weight of the pyramid is estimated to be ...

  (456 lb/yd³)×(972,000 yd³) = 443,232,000 lb

The pyramid weighs about 443,232,000 pounds.

__

Additional comment

At 456 lb per cubic yard, the stone is less dense than most wood and will float high in water.

Answer:

12.5 hours a week

Step-by-step explanation:

So far this week, you have worked 10 hours at your part-time job. This is 80% of the number of hours you work each week. How many hours do you work each week?

10 hours = 80%

80% = 0.8

10/0.8 = 12.5 hours a week

Depreciation expense in year 2 = 2/4 x $225,000 = $112,500.

acc to our question-

hence,Depreciation expense in year 2  = $112,500.

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Answer 2

Step-by-step explanation and no not writing out how to do it.

The flowrate of decreasing water is 3.98 cm/min after the water reaches 5cm of its height.

We need to know about the flowrate to solve this problem. The rate can be described as how much water flows in a unit of time. It can be represented by this equation

Q = V / t

where Q is flowrate, V is volume and t is time.

From the question above, the given parameters are

Inverted cone with

Q = 50 cm³/min

R = 4 cm

h = 5 cm

Hence, the rate of decreasing water is

Q = V / t

50 = A . h / t

50 = π . R² . h / t

50 = 22/7 . 4 . h / t

h/t = 3.98 cm/min

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Answer:

Step-by-step explanation:

D

This is an incomplete question and the complete question is in the image attached.

Both circles A and F have the same radius and diameter.

What is the center of the circle?

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.

Given:

We have,

Two circles are named A and F.

The radius of circle A is 4cm

So, the diameter of Circle A is 4 x2 = 8 cm

The Diameter of Circle F is 8 cm

Hence, Both circles A and F have the same radius and diameter.

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The mark-up, as a percentage = 125%

What is Markup?

The term "markup" describes the discrepancy between a product's selling price and its actual cost. It is specified as a percentage over the price. In other words, the seller makes a profit when the price of the commodity.

A unit's gross profit, which is the sales price less the cost to create or buy it for resale, is divided by its cost to determine the markup %. The markup percentage is computed as (12 - 8) / 8 and is equal to 50% if an item costs the business $8 to produce but is sold for $12.

Markup percentage=[(selling price - unit cost)/unit cost]*100

Markup percentage= [(900-400)/400]*100=1.25*100

                                = 125%

So, the mark-up, as a percentage = 125%

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Answer:

2334

Step-by-step explanation:

Answer:

17 = 5 + b

b = 12

y = x + 12

The volume of the sphere is [tex]\frac{4}{3}\pi (x-1)^3[/tex]. It can be obtained by using the formula of the volume of the sphere.

What is the formula of the volume of the sphere?

Volume of any object is the amount of 3 dimentional space occupied by that object. Volume of the sphere is given by the following expression:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, V is the volume of the sphere and r is the radius of the sphere.

Substitute x-1 for r in the above formula.

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (x-1)^3[/tex]

This is the simplest form.

In the above equation, you can apply the formula [tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex] but that will make the equation difficult and lenthy. Hence, there is no need to apply this formula.

Hence, the volume of the sphere is [tex]\frac{4}{3}\pi (x-1)^3[/tex].

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The expected net profit would be $100,000

acc to our question-

Hence,The expected net profit would be $100,000

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The percent change of the worth is 3.26%.

Apples were for sale from a fruit vendor. He has 420 apples and sells 40% of them. How many apples did he have in total when he first started?

Solution: Assume a fruit vendor had x apples in stock.

According to the query,

(100 – 40%) of x = 420

60% of x = 420

60/100 x = 420

X = 700

The fruit vendor, therefore, had 700 apples in all.

Let , the worth is $x.

according to the question, $x + $5 =$158

∴ $x= $153

∴ percent change= (5/153)×100

                             =3.26%

The percent change of the worth is 3.26%.

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Answer:

it is 67ft^3

Step-by-step explanation:

5 times 5 times 5 is 67