What is the volume in cubic meters of the triangular pyramid shown below?
3 m
6.6 m
=]
8 m
6.1

For a ticket buyer who pays $9 per ticket, the expected value of the raffle is $-7.17.

The expected value is the product of the probability of an event occurring and the value of the observed occurrence.

As a probability-weighted value, the expected value is computed by multiplying the sum of the values by the probability of winning.

It is the mean of a random variable.

The cost per raffle ticket = $9

The number of tickets sold = 709

The winning value = $1,300

The probability of winning the raffle by one ticket = 1/709

Therefore, the expected value is $-7.17 [($1,300 x 1/709) - $9], that.

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Answer:

t = 25

Step-by-step explanation:

T is 25 because you take 1 away from the t+1 side and add the 1 to the 24 side.

Answer:

c. 34

Step-by-step explanation:

Answer: 39 ft2

Step-by-step explanation:

The area of the trapezoid is 39 square feet.

To find the area of a trapezoid, you can use the formula:

Area = (1/2) × (base1 + base2) × height

Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:

Area = (1/2) × (16 + 10) × 3

Area = (1/2) × 26 × 3

Area = (1/2) × 78

Area = 39 ft^2

Therefore, the area of the trapezoid is 39 square feet.

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Answer: x = -3; y = -8

Step-by-step explanation:

Multiply second equation by -1 and add to first equation.  The y term zeros out, leaving you with -3x = 9, so x = -3.

Then go back and sub -3 in for x in either equation, and solve for y.  If you use the first equation, you get 4(-3) -3y = 12

-12 -3y = 12

-3y = 24

y = -8

For two lines to be parallel, they have to form the same angle when crossing the same line.

Now, M and N are alternate interior angles and

Hence, line c and line a are parallel.

Answer:

the x intercept is where the line touches the x axis

Step-by-step explanation:

Answer:

line touches the x axis

Answer:

Umm Ok I will

Step-by-step explanation:

Go and follow his account.

Answer:

.....I have no words...

Step-by-step explanation:

Answer:

Yes, these two triangles are similar. Triangle similarity can be proved by the measurement of the angles. Angle A= Angle J. Angle B= Angle K and Angle C= Angle L. Triangle ABC ≈(similar to) Triangle JKL.

Explanation:

Triangle JKL is dilated with a scale factor of 2. (all side lengths were doubled; multiplied by 2) which is an enlargement any scale factor greater then 1 is an enlargement which means the triangle size is being increased. Any scale factor less than one is a shrinkage. The 2 triangles have the same angle but not the same side lengths.

What is a dilation:

A dilation is a geometric transformation that changes the size of a shape. The only thing the changes in a dilation is the size. It can either get bigger or smaller (angle measurements DO NOT change)

Conclusion:

triangle similarity can be proved by AA similarity postulate.

i hope this helps :)

happy geometry studying!!

Answer:

Jessica goes to a fair, she spent 13 dollars the addmission fee is 5 dollars and for x tickets, it cost 2 dollars. How much did the tickets cost?

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

Therefore, the game ended at 1:19 PM

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

6

Step-by-step explanation:

becuase 6^2 equals 36

Answer:

d=6

Step-by-step explanation:

Use the inverse operation of square roots

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:a

Step-by-step explanation:

it is 2.2360679775 which is in between 2.01 and 2.24

Answer: a. between 2.01 and 2.24

Step-by-step explanation:

√4=2

√9=3

9-4=5

5-4=1

1/5=0.2

√5=

√(4+1)=

√4+0.2=

2+0.2=2.2 ==> between 2.01 and 2.24: a

Answer:

-9

Step-by-step explanation:

5x+8-3x = -10

Combine like terms

2x+8 = -10

Subtract 8 to both sides

2x = -18

Divide both sides by 2

x = -9

Answer:

-9

Step-by-step explanation:

5x + 8 - 3x = -10

Combine like terms

2x + 8 = -10

Subtract 8 to both sides

2x = -18

Divide both sides by 2

x = -9

The product of the number of wash and dry cycle of the beach towel and the mass the beach towel loses per cycle. 7(-3), obtained from the number is -21.

A number line consists of a line that has markings at regular intervals, which can be used to illustrate numerical statements and operations.

The amount in mass the beach towel loses each wash cycle = 3 mg

The change in the mass of the beach towel after 7 wash cycle = 7 × (-3) = -21

The possible number line as obtained from a similar question online consists of minor demarcations markings (only the marks) of 3 units gap, and major markings which include numberings at 6 units gap, therefore;

Therefore, the change in the mass can be obtained by finding the value at a minor marking which is 7 steps to the left of the zero mark as follows;

\({}\)            7th        6th      5th       4th     3rd       2nd             1st

   \({}\)        -21,        -18,      -15,        -12,    -9,          -6,            -3,         0

The number line indicates that product which is the change in mass the beach towel after 7 wash cycle is -21

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Answer:

7 x ( 5 − 4 y )

Answer:

y=-2/3x+3

Step-by-step explanation:

First, identify the slope you need for your equation. The keyword here is "parallel" so the slope you need is the same as the given slope (-2/3).

Next, use the ordered pair (6,-1); it's on the line that you need to find the equation for. Using slope-intercept form (y=mx+b), plug the -1 in for y, plug the 6 in for x, and plug in your slope of -2/3 for m. Solve for b, your y-intercept. You should get 3.

You have your slope and y-intercept now. Create your equation:

y=-2/3x+3.

The value of the final velocity before striking the ground will be 9.899 meters per second.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

If an object is projected horizontally from a height of 5m with an initial velocity of 7 m/s.

We know that if the object is projected horizontally, so initially the object has a vertical speed is zero. Then it increases due to acceleration due to gravity.

The speed of the object before striking the ground is given as,

v² - u²= 2gh

v² - 0² = 2 × (9.8) × (5)

v² = 98

v = 9.899 meters per second

The value of the final velocity before striking the ground will be 9.899 meters per second.

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Answer:

6pi meters

Step-by-step explanation:

The formula for area of a circle is

A = pi r^2

9 pi  = pi r^2

Divide each side by pi

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 =r

Now we can find the circumference

C = 2 * pi *r

C = 2 * pi *3

C = 6pi meters

Answer:

6pi meters

Step-by-step explanation:

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

A:

Answer:65Step-by-step explanation:C^2= A^2 + B^2C^2 = (60)^2 + (25)^2 C^2 = 4225Take the square root of CC = 65

Answer:

  B, C, E

Step-by-step explanation:

Translation is a rigid transformation. As such, it preserves sizes and angles. "Isometric" is another way to say "the size is preserved."

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

x is approximately 3.449.

Step-by-step explanation:

We are given the following proportion: 21/24 = 7/8 = 49/x

To find x, we can cross-multiply and simplify:

21/24 = 7/8 = 49/x

247= 218 = 49*x

168 = 168 = 49x

x = 168/49 = 3.44948979591836734693877551020408

x = 3.449489795918367

So, x is approximately 3.449.