A zoo has 5 lions and 10 tigers. One night, the zoo cage door is
opened and two animals escaped the zoo. What is the probability
that is will be a tiger and then a lion?

Answer:

The solution is (-2/3,7/3)

Step-by-step explanation:

1) What is the bottom part saying? I will just solve what I see on top since that may be the only part you need to solve, comment what the bottom part is if you need it, I'll help.

2) y=7/3 by solving. for y.

3) x = -4/6 by solving for x after plugging in the y.

4) Your answer is (-2/3,7/3).

Answer:

21

Step-by-step explanation:

let n be the identical number, then

n² = 441 ( take the square root of both sides )

n = \(\sqrt{441}\) = 21

The the identical numbers are 21

Answer:

Step-by-step explanation:

i think i answered another question by you but ill help anyways

ok so you are trying to check the fact that x=2 for both equations

for A. by using substitution

and B. by properties of Equality

A is easy you just substitute 2 into the x values in the given equations

it will look like

-3x+14=18-5x

-3(2)+14=18-5(2)

-6+14=18-10

8=8

and

2x=5-1/2x

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

4=5-2/2

4=5-1

4=4

so now we have proved that both x are eual to 2 by using substitution

i already answered b on a different question

Answer:

If you are looking for x your answer will be x=2

Answer:

B

Step-by-step explanation:

Meet at the middle of the two lines

Answer:

pretty sure it's c

Step-by-step explanation:

when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2

Please indicate your choices, and I'll let you know if each option is correct or not.

Flora has a rectangular gift box that has a volume of 24 cubic inches. The box is 2 inches tall. What could be the length and width of the box? Select Ye s or No for each length and width?

Please indicate your choices, and I'll let you know if each option is correct or not.

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Answer:

all real numbers 0 1 2 3

0 1 2 3

Answer:

Step-by-step explanation:

THE OUTLINER IS 28!

The domain of the graphed function is the one in the first option.

D: 0 ≤ x ≤ 16

For a function y = f(x), wedefine the domain as the set of the possible inputs for the function (this is, the set of the possible values of x).

To identify the domain, you need to look at the horizontal axis, here we can see that the graph goes from x 0 to x = 16, then the domain will be:

D: 0 ≤ x ≤ 16

Then the correct option is the first one.

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The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Given, edge length of a cube = 24mThen, its surface area (S) = 6x²And its volume (V) = x³Let x be the edge length of the cube and V be its volume.x = 24m = 24 m/min (Since, it decreases at the rate of 5m/min)When x = 3, its rate of decrease will be (-5) m/min

Now, we need to find the rate of change of the surface area of the cube when x = 3.We know, surface area (S) = 6x²On differentiating with respect to time (t), we get dS/dt = 12x dx/dt Since, x = 3 and dx/dt = -5Hence, dS/dt = 12 × 3 × (-5) = -180The rate of change of the surface area of the cube is -180 m²/min . We also need to find the rate of change of the volume of the cube when x = 3.We know, volume (V) = x³On differentiating with respect to time (t), we get dV/dt = 3x² dx/dtSince, x = 3 and dx/dt = -5Hence, dV/dt = 3 × 3² × (-5) = -135The rate of change of the volume of the cube is -135 m³/min.Answer: When the edge length of a cube decreases at the rate of 5m/min, then its surface area changes at the rate of -180 m²/min and volume changes at the rate of -135 m³/min.

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The inverse of the function f(x) = (x - 2)³ + 6 is given by f⁻¹(x) = ∛( x - 6 ) + 2.

An inverse function is simply a function which can reverse into another function.

Given the function in the question:

f(x) = ( x - 2 )³ + 6

To find the inverse of the function f(x) = (x - 2)³ + 6, first replace f(x) with y.

f(x) = ( x - 2 )³ + 6

Replace f(x) with y

y = ( x - 2 )³ + 6

Swap or interchange the variables x and y

x = ( y - 2 )³ + 6

Next. solve for y in terms of x:

Subtract 6 from both sides

x - 6 = ( y - 2 )³ + 6 - 6

x - 6 = ( y - 2 )³

( y - 2 )³ = x - 6

Take the cube roots

y - 2 = ∛( x - 6 )

Add 2 to both sides

y - 2 + 2 = ∛( x - 6 ) + 2

y = ∛( x - 6 ) + 2

Replace y with f⁻¹(x)

f⁻¹(x) = ∛( x - 6 ) + 2

Therefore, the inverse function is ∛( x - 6 ) + 2.

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The ordered pair gives the location of point B is (2, f(2)).

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, B is a point on the graph of the function f(x) = - 3x² and the

x-coordinate of point B is 2.

To obtain the value of the y-coordinate we'll simply replace 2 in place of x.

Therefore, f(2) = - 3(2)².

f(2) = - 3(4).

f(2) = - 12.

Observing the given option the only correct answer would be

(2, - 12) and (2, f(2)).

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Answer:

2nd option is correct

Step-by-step explanation:

x +2y=14

2y = -x + 14

y= -x/2 +7

Answer:

-1/2

Step-by-step explanation:

So I am not certain but there is a website for things these.

The length of BE in the solid triangular prism is approximately 9.6 cm.

To calculate the length of BE in the solid triangular prism, we'll need to use the given information about the prism's dimensions and the density of the wood.

First, let's visualize the prism with the given information:

    A ________ B

    /         /|

   /________/ |

  C         D  E

   |        | /

   |________|/

    F

From the diagram, we can see that BE is one of the vertical edges of the triangular prism.

To find the length of BE, we need to use the formula for density:

Density = Mass / Volume

We are given the mass of the prism, which is 486 g, and the density of the wood, which is 1.5 g/cm³. We need to find the volume of the prism to calculate the length of BE.

The volume of a triangular prism is given by the formula:

Volume = (Base Area) x Height

In this case, the base of the triangular prism is the triangle ABC, and the height is the length of BE.

To find the base area, we can use the formula for the area of a triangle:

Base Area = (1/2) x (Base Length) x (Height)

From the given dimensions, we have the following measurements:

Base Length = 10 cm

Height = 6.75 cm

Plugging these values into the base area formula:

Base Area = (1/2) x (10 cm) x (6.75 cm) = 33.75 cm²

Now we can calculate the volume of the prism:

Volume = (Base Area) x (Height) = (33.75 cm²) x (Height)

Since the height is the length of BE, we'll denote it as x.

Volume = 33.75 cm² x (x)

Using the density formula, we can now set up the equation:

Density = Mass / Volume

1.5 g/cm³ = 486 g / (33.75 cm² x (x))

To solve for x, we'll rearrange the equation:

x = 486 g / (33.75 cm² x 1.5 g/cm³)

Simplifying further:

x = 486 g / (50.625 cm³)

x ≈ 9.6 cm

Therefore, the length of BE in the solid triangular prism is approximately 9.6 cm.

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Answer:

D. 3

Step-by-step explanation:

The slopes of parallel lines are the same.

After finding the value of theta, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

The equation tan(theta) = s^2/49 represents the speed, s, in feet per second, of a toy car driving around a circular track with an angle of incline, theta, where sin(theta) = 1/2.

To solve this problem, we need to use the given information about sin(theta) to find the value of theta. Since sin(theta) = 1/2, we can determine that theta is equal to 30 degrees.

Now that we know the value of theta, we can substitute it into the equation tan(theta) = s^2/49. Plugging in 30 degrees for theta, the equation becomes tan(30) = s^2/49.

The tangent of 30 degrees is equal to √3/3. So, we have √3/3 = s^2/49.

To solve for s, we can cross multiply and solve for s^2. Multiplying both sides of the equation by 49 gives us 49 * (√3/3) = s^2.

Simplifying, we get √3 * 7 = s^2, which becomes 7√3 = s^2.

To find the value of s, we take the square root of both sides. So, s = √(7√3).

Therefore, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

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Step-by-step explanation:

\( \sf \implies \: \dfrac{ \frac{1}{2} \times \frac{3}{4} }{3 \times \frac{4}{5} } \)

\( \sf \implies \: \frac{ \frac{3}{8} }{ \frac{12}{5} } \)

\( \sf \implies \dfrac{3}{8} \times \dfrac{5}{12} \)

\( \sf \implies \: \dfrac{1}{8} \times \dfrac{5}{4} \)

\( \sf \implies \dfrac{5}{32} \)

Answer:

a=5/32

Step-by-step explanation:

(1/2 x 3/4) ÷ （3 x 4/5）

=(3/8) ÷ (12/5)

=(3/8) x (5/12)

=5/32

Answer:

its either A/B

Step-by-step explanation:

We must invest  396.90, at an interest rate of 8.

Hobby is the fee you pay to borrow cash or the cost you price to lend money. interest is most customarily contemplated as an annual percent of the amount of a mortgage. This percent is called the interest price on the loan. for example, a bank will pay you interest when you deposit your money in a savings account.

The forms of interest consist of simple hobby, accumulated hobby, and compounding hobby. while money is borrowed, generally via the way of a loan, the borrower is required to pay the interest agreed upon by the two events.

There has been a energetic hobby inside the elections inside the final  weeks. She'd appreciated him in the beginning, but soon lost interest. Synonyms: significance, issue, importance, moment extra Synonyms of interest. countable noun.

value = Amount*(1+i)n

                     = 500*(1+.08)3

                         = 500*0.7938

                  Present value = 396.90

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Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

After evaluating the measures of central tendency and measures of spread and dispersion, we can say that Player One is the better choice for the Red Sox team. The mean, median, and midrange for both players are the same. However, the variance and standard deviation for Player Two are much higher than for Player One. A higher variance and standard deviation indicate that the values are more spread out, which means that Player Two is more inconsistent in their performance. On the other hand, Player One's values are much closer together, indicating that they are more consistent in their performance.

Given the following information, we can use mean, median, variance, and standard deviation to decide which player to choose for the Red Sox team. Number of hits for Player One = {12, 16, 14, 16}Number of hits for Player Two = {14, 23, 5, 16}.

Measures of central tendency:

Mean: To calculate the mean, we add up all of the values and divide by the total number of values. The mean of Player One's hits = (12 + 16 + 14 + 16) ÷ 4 = 14.5.

The mean of Player Two's hits = (14 + 23 + 5 + 16) ÷ 4 = 14.5

Median: The median is the middle value in the set. When the set has an odd number of values, the median is the middle value. When the set has an even number of values, the median is the average of the two middle values. For Player One: Arranging the data in ascending order: 12, 14, 16, 16, the median is (14 + 16) ÷ 2 = 15

For Player Two: Arranging the data in ascending order: 5, 14, 16, 23, the median is (14 + 16) ÷ 2 = 15

Midrange: The midrange is the average of the maximum and minimum values in the set. For Player One, the midrange is (12 + 16) ÷ 2 = 14For Player Two, the midrange is (5 + 23) ÷ 2 = 14Measures of spread and dispersion:Variance: To calculate variance, we use the formula: Variance = (Σ (xi - μ)²) ÷ n, where Σ is the summation sign, xi is each value in the set, μ is the mean, and n is the total number of values.

For Player One:

Variance = [(12 - 14.5)² + (16 - 14.5)² + (14 - 14.5)² + (16 - 14.5)²] ÷ 4

= (5.5 + 1.5 + 0.5 + 1.5) ÷ 4= 2

For Player Two:

Variance = [(14 - 14.5)² + (23 - 14.5)² + (5 - 14.5)² + (16 - 14.5)²] ÷ 4

= (0.25 + 70.25 + 91.25 + 1.25) ÷ 4= 40

Standard deviation: Standard deviation is the square root of the variance. The standard deviation for Player One = sqrt(2) = 1.41.

The standard deviation for Player Two = sqrt(40) = 6.32

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Using measures of central tendency and measures of spread and dispersion, it is recommended to take player one in the team.

Explanation:

→Measures of central tendency:

Mean of player one = (12+16+14+16)/4

                                 = 14.5

Mean of player two = (14+23+5+16)/4

                                 = 14.5

The median of player one = (12, 14, 16, 16)/2

                                             = 15

Median of player two = (5, 14, 16, 23)/2

                                    = 15.

The midrange of player one = (12+16)/2

                                               = 14

The midrange of player two = (5+23)/2

                                               = 14

→Measurses of spread and dispersion:

Variance of player one = ((12-14.5)² + (16-14.5)² + (14-14.5)² + (16-14.5)²)/4

                                       = 2.25

Variance of player two = ((14-14.5)² + (23-14.5)² + (5-14.5)² + (16-14.5)²)/4

                                       = 46.25

Standard deviation of player one = √2.25

                                                       = 1.5

Standard deviation of player two = √46.25

                                                       = 6.8

The mean of both the players are the same (14.5), so we can not decide based on that.

But, from the measures of spread and dispersion, we can see that the standard deviation of player two is greater than that of player one (6.8 > 1.5).

It shows that the data of player two is more spread out and less consistent as compared to player one. Hence, it is more likely that player one will perform consistently well.

Therefore, it is recommended to take player one in the team.

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Answer:

7 degrees higher.

Step-by-step explanation:

-18 - (-25)

= -18 + 25

= 7.

Answer:

284mm²

Step-by-step explanation:

S.A.= 2(lw) + 2(lh)+ 2(wh)

2[12.6(8)] + 2[12.6(2)] + 2[8(2)]

201.6 + 50.4 + 32

S.A.= 284mm²

Answer:

B

Step-by-step explanation:

You need a top and bottom (same size)

You need a front and back (same size for them as well)

You need  a left and right covering.

Top and bottom = 2 * 12.6 * 8 = 201.6

Left Right = 2 * 8 * 2 =                  32.0

Front/Back= 2 * 2 * 12.6 =             50.4

Total                                            284

Answer:

look this for the solution

Answer:

5/3

Step-by-step explanation:

Rise = 2.5

Run = 1.5

2.5 ÷ 1.5 = \(\frac{5}{3}\) ≈ 1.667

In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:  

In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.

Based on the given quantities' scale, we know that x, y, and z have a relationship where:

z = x/y

Then, the mathematical combinations that might be meaningful are:

- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

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Answer:

The  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

Step-by-step explanation:

Given the equation

y + 5 = 3(x - 1)

Writing in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

y = 3(x-1) -5

y  = 3x-3-5

y = 3x - 8

Thus, the slope = m = 3

We know that the parallel lines have equal slopes.

So, the slope of a parallel line is also 3

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = 3 and the point (3, -4)

y-(-4)=3(x-3)

y+4 = 3x-9

y = 3x-9-4

y = 3x-13

Thus, the  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

Answer:

There was a 4.9% increase in gasoline prices.

Step-by-step explanation: