7. When the height of the sand in a particular rectangular sandbox is
leveled out then the height of the sand, in inches (in.), is proportional to
the volume of sand, in cubic inches (in.3), in the sandbox. When the
height of the sand is 1.25 in. the volume of the sand is 280 in.3. A
playground has 3 of these sandboxes.
What is the total volume of the sand, in cubic inches (in.3), that is
needed for the playground when the height of the sand in each sandbox
is 4.5 in.?
Show your work in the provided space.

Answer:

Test Statistic = 10

Critical Value = 9.488

Step-by-step explanation:

Given :

Grade A _ B _ C _ D _ F

_____14 _ 18 _32_ 20_16

H0 : distribution of grade is uniform

H1 : Distribution of grade is not uniform

Using the Chisquare statistic :

χ² = (observed - Expected)² / Expected

The expected value :

(14+18+32+20+16) / 5 = 20

χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20

χ² statistic = 10

The χ² critical at df = (n - 1) = 5 - 1 = 4

χ² Critical(10, 4) = 9.488

Answer:

$1.27

Step-by-step explanation:

We know

The tax is 7.5%

7.5% = 0.075

Which of the following was the sales tax Serena had to pay?

We take

16.99 times 0.075 = $1.27

So, the answer is $1.27

Answer:

(0,2)

(3,0)

Step-by-step explanation:

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

The area of the triangle with side lengths 28 and 21 and an angle of 118 degrees is 260 squared unit.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

The area of a triangle can be determine using the formula;

A = ( a × b × sin( C ) ) / 2

From the diagram;

Plug the given values into the above formula.

A = ( a × b × sin( C ) ) / 2

A = ( a × m × sin( R ) ) / 2

A = ( 28 × 21 × sin( 118° ) ) / 2

A = ( 588 × sin( 118° ) ) / 2

A = ( 588 × 0.8829 ) / 2

A = 519.17 / 2

A = 260 square unit.

Therefore, the area of the triangle is 260 square unit.

Option D) 260 is the correct answer.

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The area of the figure  to the nearest whole number is 260

The area of a triangle is the region contained by the triangle's sides. The length of the sides and internal angles affect a triangle's area differently from one triangle to the other.

From the given triangle:

The required area of a triangle is:

\(A = a*b * \dfrac{sin \gamma}{2}\)

where;

\(A = 28*21 * \dfrac{sin \ 118}{2}\)

A = 14 × 21 × sin 118

A = 14 × 21 × 0.8830

A = 259.602

A = 260

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The commission when the salesman earns 40% commission on all the merchandise that he sells is $320.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, the salesman earns 40% commission on all the merchandise that he sells and last month he sold $800 worth of merchandise.

The amount in commission will be:

= Commission percentage × Sales

= 40% × $800

= $320

The commission is $320.

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Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:

Sample size

Step-by-step explanation:

Central Limit Theorem states that population with mean and standard deviation and if the sample size is large then the distribution of sample mean will be will be normally distributed. The central limit theorem holds assumptions that the factors to be considered when assessing central limit theorem is sample size.

The CLT is the factor(s) to be considered when assessing if the central theorem holds are sample.

It is given that the objective that central limit theorem assumptions. the factor(s) to be considered when assessing if the central theorem holds.

It is required to describe the above theorem.

It is defined as the in statistics the assumption holds that the sample means distribution of arbitrary variables follows a normal distribution or close to normal distribution if the sample size is big.

We have an objective:

The CLT is the factor to be considered when assessing if the CLT holds a large sample size.

If we draw the random sample data and its measures, the Central limit theorem explains the distribution will explain the normal bell curve, the mean of the parameters and the distribution will be the same.

Thus, the CLT is the factor(s) to be considered when assessing if the central theorem holds are sample.

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9514 1404 393

Answer:

  14,660.77 ft^3

Step-by-step explanation:

The volume of a hemisphere-topped cylinder is given by the formula ...

  V = πr^2(2/3r +h)

where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...

  V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3

__

Additional comment

The volume is 14,653.33 ft^3 if you use 3.14 for π.

Answer:14,660,77ft

Step-by-step explanation:

By the equation formed by the relation to build 5 feet tall tower, Erica will need 20 bricks.

An equation is a mathematical statement consisting of two expressions joined by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation gives the value of the variable x as x = 7. 

According to the information given in the question:

1 brick = 1/4 Feet

Which means, 4 bricks = 1 feet

As Erica wants to make 5 feet tall tower,

5 feet tower = 5 x 4

                     = 20 bricks

Hence, Erica will need 20 bricks to build 5 feet tower.

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Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D

Answer:

rtgw5s

Step-by-step explanation:

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

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Answer:

8342

Step-by-step explanation:

3965 + 4387

 3965

+4387

Add 5 and 7

12

The 1 in ten becomes a digit in the tens place

Add 1, 6, and 8

15

The 1 in ten becomes a digit in the hundreds place

Add 1, 9, 3

13

The 1 in ten becomes a digit in the thousands place

Add 3, 4, and 1

8

Answer:

8342

Answer:

8352

Step-by-step explanation:

Use column method:

  3965

+ 4387

=  8352

(Add the numbers vertically)

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Answer:

the answer is 20+6h=15+8h

9514 1404 393

Answer:

  8 people

Step-by-step explanation:

If 20 of 140 people play tennis, then in a group of 504 people, we expect ...

  (20/140) × 504 = 72 . . . . tennis players

If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...

  (1/9) × 72 = 8 . . . . have a coach

We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.

Answer:

The sum of the three mixed numbers is 11 and 9.5/16.

Step-by-step explanation:

5 and 13/16

2 and 1/8 = 2 and 0.5/16

3 and 3/4 = 3 and 12/16

10 and 25.5/16

11 and 9.5/16

Answer:

\(11\frac{11}{16\\} \\\)

Step-by-step explanation:

Separate fractions and whole numbers

5 2 3   13/16 1/8 3/4

Add whole numbers and fractions (where the denominator is 16)

5+2+3=1                    

13/16+1/8+3/4 =

13/16+2/16+12/6=

27/16 =

\(1\frac{11}{16\\} \\\)

27/16+10 = \(11\frac{11}{16\\}\)

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

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

2 and 6

Step-by-step explanation:

Answer:

2 and 6

Step-by-step explanation:

Got a hundred on my test correct answer edge 2020

The equation that we need to solve is:

(S + 2*S)*3h = 54mi

The speed of the slower cyclist is 6 mi/h

The speed of the faster cyclist is 12 mi/h.

Let's define S as the speed of the slower cyclist, thus 2*S will be the speed of the other cyclist.

They travel in opposite directions, and after 3 hours the travel a combined distance of 54 miles, then we can write the equation:

(S + 2*S)*3h = 54mi

With that equation, we can determine the speeds of the cyclists.

Solving for S we get:

(S + 2*S)*3h = 54mi

3*S = 54mi/3h = 18 mi/h

S = (18 mi/h)/3 = 6 mi/h

Then the speed of the slower cyclist is 6 miles per hour, and the speed of the faster cyclist is twice that, so it is 2*6 mi/h = 12 miles per hour.

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Answer:

The answer is 90

Step-by-step explanation:

A= L*W

so when you are given the are and the width you need to divide the area by the width to find the length

For an airplane has an airspeed of 530 kilometers per hour bearing N45 degrees E,  the ground speed of the plane and its direction is mathematically given as

Generally, the equation for the velocity of the plane is mathematically given as

\(Vp=Fcos\thetai+Fsin\theta j\)

Therefore

Vp=530cos45i+530sin45j

Vp= 374.76i+374.76j

For wind speed

Vm=80cos(90+30)i+80sin(90+30)j

Vm=-40i+69.28j

Hence, there resultant is

Vr=Vm +Vp

Vr=374.76i+374.76j + 40i+69.28j

Vr=334.77i+1444.05j

In conclusion, the Ground speed is

\(Vg=\sqrt{334.77^2+1444.05^2}\)

Vg=556.10km/hr

Direction

\(Tan \theta=\frac{444.05}{334.77}\)

\(\theta=52.99East\)

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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The solutions to the inequalities are -13 < x < 15 and x > 15 and x < -13

The inequality expressions are given as:

|x – 1| + 1 < 15

|x – 1| + 1 > 15

We start by solving the inequality expression |x – 1| + 1 > 15

So, we have

|x – 1| + 1 < 15

Subtract 1 from both sides

|x – 1|  < 14

Remove the absolute bracket

x – 1  < 14 or x - 1 > -14

This gives

x < 15 and x > -13

Combine the inequalities

-13 < x < 15

We then continue by solving the inequality expression |x – 1| + 1 < 15

So, we have

|x – 1| + 1 > 15

Subtract 1 from both sides

|x – 1|  > 14

Remove the absolute bracket

x – 1  > 14 or x - 1 < -14

This gives

x > 15 and x < -13

Hence, the solutions to the inequalities are -13 < x < 15 and x > 15 and x < -13

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