A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (7). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the second toss is heads. Use the format HTH to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas. Sample space: Event that the second toss is heads: 0 Х ?

The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

28413

i think is the answer im not spanish but i think its a multiplication problem

Answer:

4/6

Step-by-step explanation:

Answer:

answer Option A $9,722.36

I am 100% sure

Hello!

(2x+1)/3 + (5x-2)/2

= (4x+2)/6 + (15x-6)/6

= (4x+2+15x-6)/6

= (19x-4)/6

Answer:

see explanation

Step-by-step explanation:

\(\frac{2x+1}{3}\) + \(\frac{5x-2}{2}\)

we require the denominators of both fractions to be the same value

the LCM of 2 and 3 is 6, so convert both denominators to 6

multiply the numerator/ denominator of the first fraction by 2

multiply the numerator/denominator of second fraction by 3

= \(\frac{2(2x+1)}{3(2)}\) + \(\frac{3(5x-2)}{2(3)}\)

= \(\frac{4x+2}{6}\) + \(\frac{15x-6}{6}\)

now add the numerators, with a common denominator of 6

= \(\frac{4x+2+15x-6}{6}\)

= \(\frac{19x-4}{6}\)

Answer:

The slope of this line is 2.

Step-by-step explanation:

Start at (1, 0). Go up 4 units, then right 2 units. You will end at (3, 4). The slope of this line is 2.

The graph matches the description of Andre's distance as a function of time. Hence, the graph is accurate.

The graph given is a distance time graph which shows how a body moves through a certain distance during a particular interval of time. The peak distance reached is 20 yards. Turning back 5 yards is also depicted with a regression in the peak distance.

Also, the period where there was no change in the distance for 3 seconds was also showcased before walking back to a starting position denoted by the point along the origin.

Hence, the graph is correct.

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .

a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.

b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.

c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.

d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.

e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.

f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.

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Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

Answer:

We know that:

Over a half-mile stretch of road, there are 7 evenly spaced street signs.

If we assume that there is a sign right at the beginning and another right at the end, then the distance between each sign will be equal to the total distance divided by the total number of signs minus one because the distance is measured in pairs of consecutive signs, if we have 7 signs, then we will have 6 pairs of consecutive ones ( 1st and 2nd, 2nd and 3rd, 3rd and 4th, ...)

(0.5mi)/6 = 0.83... mi

So, rounding to the second decimal after the decimal point, the distance between each sign is 0.83 miles.

Answer:

no

Step-by-step explanation:

Hello There!

We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem

The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared

so if it is a right triangle then

\(74^2=71^+24^2\)

\(74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617\)

5617 is not equal to 5476 therefore the given side lengths do not form a right triangle

~TheMathWIz

Answer:

840

Step-by-step explanation:

120 is 40% of 300, and 840 is 40% of 2100 is 840.

Answer:

840

Step-by-step explanation:

The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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Answer:

p= 42,00 divided by 2.50

Step-by-step explanation:

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:

15lb chicken 30 oz. soy sauce 5lb. green peppers

2 1/2 lb. scallions 10 oz. ginger

10 cups Water

To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,

30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given  12 portions of  Stir-Fried Chicken requires 3 lb chicken 6 oz.

soy sauce 1 lb. green peppers

1/2 lb scallions

2 oz ginger

2 cups Water.

∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.

So,  60 proportions of  Stir-Fried Chicken requires (3×5) = 15lbs of chicken,

(6×5) = 30 oz of soy sauce,  (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.

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The rate at which water is draining when the water is  8 feet deep is calculated to be 2.54 ft³/ h

The vertex angle of the conical-shaped reservoir can be given as follows;

tan θ = R/H

Here R represents the radius and H illustrates the depth

so here we can say that the vertex angle will remain constant; therefore;

r/y = R/H

r/8 = 10/20

r = (10/20) × 8

r = 4

now for the volume, we can say;

V=1/3πr^2h

also, we can say;

r = y/2

Therefore here we will have;

V = 1/3π(y/2)^2y = 1/12 πy³

now for volume flow rate, we can determine as follows;

Q = dV/dt = 3/12πy²(dy/dt)

Q = 1/4 πy²v

Substituting the values as follows;

Q = 1/4 π(8)²(1/2)ft³/h

Q = 2.54 ft³/ h

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Accordingly, x0 = 0, x1 = 3, x2 = 0, and x3 = 3 are the first three iterations of f ( x) = -2x + 3 when x0 = 0.

A loop is described as a section of code that runs repeatedly. The procedure in which a code fragment is run just once is referred to as iteration. One iteration is the single time a loop is run. A loop may run through numerous iterations.

x1 = f(x0) = f(0) = -2 * 0 + 3 = 3

x2 = f(x1) = f(3) = -2 * 3 + 3 = 0

x3 = f(x2) = f(0) = -2 * 0 + 3 = 3

So the first 3 iterates of the function f(x) = -2x + 3 when x0 = 0 are:

x0 = 0, x1 = 3, x2 = 0, x3 = 3

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The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Linear equation represents a line on the graph.

The system of linear equations represents couple/s of linear equations or lines.

Here, The solution of system of linear equations means the common point satisfying the different linear equations.

Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.

So, the point of intersection from the given graph is (0,2).

Therefore, the solution of linear equations given in the graph is (0,2).

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SOLUTION:

Step 1:

In this question, we are given the following:

The function d(t) equals 300,000t represents the distance (in kilometers) that light travels in t seconds.

a) How far does light travel in 15 seconds?

b) How long does it take light to travel 12 million kilometers?

Answer:

Step-by-step explanation:

(3-2)/(3-5) = 1/-2 = -1/2

y - 3 = -1/2(x - 3)

y - 3 = -1/2x + 3/2

y - 6/2 = -1/2x + 3/2

y = -1/2x + 9/2

The cost of the utility pole is  $707. 32

From the information given, we have the following deductions:

Let's determine the volume of this cylinder:

Volume = mass / density

Substitute the values

Volume = \(\frac{1000}{7. 6}\)

Volume = 131. 58 cm³

Thus, 131. 58 cm³ costs $0. 51

For the utility pole;

Volume = 2 πr²h

Where:

Volume = 3. 142 × 8. 8 × 8. 8 × 750

Volume = 182, 487. 36 cm³

If  131. 58 cm³ costs $0. 51

Then  182, 487. 36 cm³ will cost:

= 182, 487. 36  × 0. 51/ 131. 58

= 93068. 55/ 131. 58

= $707. 32

Thus, the cost of a utility pole is  $707. 32

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Answer:

D) 180 inches²

SEE NOTE*

Step-by-step explanation:

Base = 10x10=100

Each triangle = 1/2x10x4=20

20x4=80

100+80=180

* This may be a trick question.  This pyramid CANNOT exist.  If the base is 10 inches, the height of the triangles cannot be 4 inches.  They must be more than 5.  

Answer:

28

Step-by-step explanation:

The constant variation, a, is equal to the product of x and y when they are both known. In this case, when x = 7 and y = 4, the constant variation is 4 * 7 = 28. So, the equation for the inverse variation is y = 28 / x.

The rule applied to obtain each vertex of the triangle DEF after the transformations is given as follows:

(x,y) -> 1/3(x - 3, y + 5).

The original coordinates of triangle DEF have the following format:

(x,y).

The dilation by a scale factor of 1/3 means that each of the coordinates is multiplied by 1/3, hence:

(x,y) -> 1/3(x,y).

The translation along the vector <-3,5> means that the x-coordinate is subtracted by 3 while 5 is added to the y-coordinate, hence:

(x,y) -> 1/3(x - 3, y + 5).

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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