A number cube is rolled 30 times, and a six comes up 5 times. What is the experimental probability that a six is rolled?

Answer:

Option 4 is correct .

Step-by-step explanation:

Given : A three dimensional figure

To Find : What is the shape of the cross section?

Solution :

If we intersects the three-dimensional object in the image and divides the object into equal halves by vertical plane then we can see the attached figure what the output will be .

We can see that if we see the cross section from the side then it looks like the fourth one

So, Option 4 is correct .

Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.

To find out the fraction of the money Alberto gets, we first need to find out how much of the total inheritance each part of the ratio represents.

The total parts in the ratio are [tex]\(3 + 4 + 5 = 12\)[/tex].

Alberto's share is [tex]\(3\)[/tex] parts out of [tex]\(12\)[/tex].

So, Alberto's share of the inheritance is [tex]\( \frac{3}{12} \)[/tex] of the total amount.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is [tex]\(3\)[/tex]:

[tex]\( \frac{3}{12} = \frac{1}{4} \)[/tex]

Therefore, Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.

To find for the number of fireflies caught in a minute, we simply look at the equation. The equation is linear and takes the form y = slope * x + b

where slope is also equivalent to the fireflies caught each minute.

So the equation of you and your friend is: (where y is the total fireflies caught)

you:

y = 3 m + 13

your friend:

y = 4 m + 6

So the fireflies caught each minute is:

you: 3

your friend: 4

So a total of 7 fireflies each minute combined

Answer: When the coefficient of X is positive!

The total number of possibilities of drawing their names is given by permutation.

4P4 = 24

The total possibility of drawing their names in alphabetical is only 1.

Therefore the probability is:

P = 1 / 24

P = 0.0417

Therefore there is about 4.17% chance that it will be in alphabetical order

Answer:

correct answer is C. Just took the test.

To solve for h and r in the equation bh + hr = 25, isolate one variable, solve for h using division, and solve for r by expanding the equation. There is no unique solution for h and r in terms of each other.

To solve for h and r in the equation bh + hr = 25, we need to isolate one variable on one side of the equation. Let's solve for h first:

bh + hr = 25

Factor out h from the left side of the equation:

h(b + r) = 25

Divide both sides by (b + r) to solve for h:

h = 25 / (b + r)

Now, let's solve for r. Replacing h in the original equation:

bh + hr = 25

b(25 / (b + r)) + r(25 / (b + r)) = 25

Multiply both sides by (b + r) to get rid of the denominators:

25b + 25r = 25(b + r)

Expand the equation:

25b + 25r = 25b + 25r

As we can see, the equation is an identity, meaning any value of r will satisfy it. Therefore, there is no unique solution for r in terms of h, and vice versa.

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Answer:

  7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

The linear velocity of a point on the tip of the outer edge of the circular saw blade is 0.429 miles per hour.

To find the linear velocity of a point on the tip of the outer edge of the circular saw blade, we can use the formula:

Linear velocity = 2 * π * radius * angular velocity

Where the radius is half of the diameter. Given that the diameter is 7 1/4 inches, the radius is 7 1/4 / 2 = 3 5/8 inches or 3.625 inches. Converting this to feet, we get 3.625 / 12 = 0.302 feet. To convert the angular velocity from revolutions per minute to radians per second, we multiply by 2 * π / 60. Substituting these values into the formula, we get:

Linear velocity = 2 * π * 0.302 * (2500 * 2 * π / 60) = 37.699 feet per minute.

To convert this to miles per hour, we divide by 5280 (since there are 5280 feet in a mile) and multiply by 60 (since there are 60 minutes in an hour):

Linear velocity = (37.699 / 5280) * 60 = 0.429 miles per hour.

Answer:

Step-by-step explanation:

Hal's because there is one age for every height .

Answer:

The answer is A

Step-by-step explanation:

I got it right on edge 2021

Let

x-------> the time in minutes

y------> the number of laps

we know that

In this problem the linear equation represent a direct variation and the slope is equal to

[tex]m=3\frac{laps}{minute}[/tex]

so

the equation of the line is

[tex]y=3x[/tex]

For [tex]x=1\ minute[/tex]

the value of y is equal to

[tex]y=3*1=3\ laps[/tex]

Plot the point [tex](1,3)[/tex] in the graph

therefore

the answer is

The solution is the line b

see the attached figure to better understand the problem

Answer: 8 cm

Step-by-step explanation:

Given : The formula for the area of a triangle is [tex]a=\dfrac{1}{2}bh[/tex]

If a triangle has a base of 7 cm and an area of 28 cm squared.

The substitute the values of b = 7 and a = 28 in the above formula, we get

[tex]28=\dfrac{1}{2}(7)h[/tex]

Divide 7 and multiply 2 on on both sides, we get

[tex]h=\dfrac{28\times2}{7}=4\times2=8\ cm[/tex]

Hence, the height of triangle = 8 cm

The required equation of the line passing through the coordinates  (−10, 4), (2, −5) is 4y+3x = -14

The required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

The formula for finding the equation of a line is expressed as:

[tex]y-y_0=m(x-x_0)\\[/tex]

Given the coordinates (−10, 4), (2, −5)

Get the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-5-4}{2-(-10)} \\m=\frac{-9}{12}\\m=\frac{-3}{4}[/tex]

Get the required equation

[tex]y-4=-3/4(x+10)\\4(y-4)=3(x+10)\\4y-16=-3x-30\\4y + 3x = -30+16\\4y+3x = -14\\[/tex]

b) For the equation of the line with the coordinates (5,7) and (-6, -3)

Get the slope

m = -3-7/-6-5

m = -10/-11

m = 10/11

The required equation will be:

y - 7 = 10/11(x-5)

11(y-7) = 10(x-5)\

11y - 77 = 10x - 50

11y - 10x = -50 + 77

11y - 10x = -27

Hence the required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

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Final answer:

Staci can purchase a maximum of 3 T-shirts after buying her festival ticket, given she brings $200.00 and each T-shirt costs $30.00.

Explanation:

To calculate the maximum number of T-shirts Staci can purchase at the music festival, we can follow these steps:

Subtract the cost of the festival ticket from the total amount of money Staci is taking to the festival. This will give us how much money she has left for the T-shirts.

Divide the remaining amount by the cost of one T-shirt to find out the maximum number of T-shirts she can buy.

So for the first step:

Staci has $200.00 and the ticket costs $87.96, leaving her with $200.00 - $87.96 = $112.04.

For the second step:

Each T-shirt costs $30.00, so we divide $112.04 by $30.00, which gives us 3.734.

Since Staci cannot buy a fraction of a T-shirt, we round down to the nearest whole number, which is 3.

Therefore, the maximum number of T-shirts Staci can purchase is 3.