Increase 140g by 12.5%

There are 0 (zero) probability of a "double" given that the sum is 11.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Two fair dice are rolled.

And, The probability of a "double" given that the sum is 11.

Now,

Since, The the probability of a "double" means;

''Two fair dice after rolled gives the same numbers.''

Since, The sum of two same number is always gives the even number.

So, We cannot get the sum 11.

Hence, There are 0 (zero) probability of a "double" given that the sum is 11.

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To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.

To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):

y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15

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Answer:

126

Step-by-step explanation:

Answer:

The correct answer is D. 126

Step-by-step explanation:

In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.

The relationship that we can write is between the length of its sides.

The relationship is a division between the length of the sides :

[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒

[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]

Solving the equation

[tex]x=\frac{(140-x)}{81}.(9)[/tex]

[tex]x=\frac{(140-x)}{9}[/tex]

[tex]9x=140-x[/tex]

[tex]10x=140[/tex]

[tex]x=14[/tex] ⇒

If the side AC is [tex]140-x[/tex] the length is

[tex]140-14=126[/tex]

The correct option is D. 126

Answer: (6,2)

Step-by-step explanation:

The direction of fastest increase is along the line \(y = x + 1\).

Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:

[tex]\[ y = k \sqrt{x} \][/tex]

where [tex]\(k\)[/tex] is the constant of variation.

We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:

[tex]\[ 12 = k \sqrt{16} \][/tex]

[tex]\[ 12 = 4k \][/tex]

[tex]\[ k = 3 \][/tex]

Now we can write the equation of variation:

[tex]\[ y = 3 \sqrt{x} \][/tex]

To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]

[tex]\[ 15 = 3 \sqrt{x} \][/tex]

[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]

[tex]\[ \sqrt{x} = 5 \][/tex]

[tex]\[ x = 5^2 \][/tex]

[tex]\[ x = 25 \][/tex]

Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.

Answer:

3rd one

Step-by-step explanation:

Answer:

There is no solution.

Step-by-step explanation:

Answer:

[tex]2^{3}=x[/tex]

Step-by-step explanation:

We have to express the log in exponential form

The given expression is [tex]log_{2}(x)=3[/tex]

As we know, if  [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]

So [tex]2^{3}=x[/tex] will be the esponential form of  [tex]log_{2}(x)=3[/tex]

Answer:

  91/3

Step-by-step explanation:

Multiply by 5(x+3) and you get ...

  3(x +3) = 100

  x +3 = 100/3 . . . . . . . . . . divide by 3

  x = 100/3 -3 = 91/3 . . . . subtract 3

Answer:

11=h

Step-by-step explanation:

The change from y = 2x + 7 to y = 1/2 x + 7 alters the slope, making the new function's graph less steep. The y-intercept remains at y = 7, ensuring the graphs coincide at this point.

The question asks how the graph of the function y = 1/2 x + 7 would compare to the graph of the original function y = 2x + 7. The key difference between these two functions is the slope part, which is the coefficient of x. In the original function, the slope is 2 indicating a rise of 2 on the vertical (y) axis for every increase of 1 on the horizontal (x) axis. But in the new function, the slope is 1/2, indicating a rise of only 1/2 on the y-axis for each increase of 1 on the x-axis. So, the new function's graph would be less steep than the original's. The y-intercept for both functions remains the same, at y = 7. These changes illustrate how the slope and y-intercept of the line equation (y = mx + b) determine the shape and position of the line on the graph.

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Answer: The first graph is the right graph according to the given situation.

Step-by-step explanation:

Given: Becky created a graph to represent her distance away from home one afternoon.

She left home and ran to the park⇒ She started running from zero distance from the home .⇒the second and fourth graphs are wrong .

After that she  met some friends and stayed at the park,  then walked back home using the same route.⇒ The first one is correct because there we can see the graph is parallel to time axis for a interval but in the third one it shows that she she hasn't took rest .

The positive difference between the two numbers is 8, which is found by setting up a system of linear equations based on the sum of the numbers and the difference of twice the larger number and three times the smaller number.

To solve the system of equations given by the problem, we can set up two equations based on the information provided. Let x be the larger number and y be the smaller number. We are given:

Solving this system of equations will allow us to find the values for x and y. From the first equation, we can express y in terms of x as y = 30 - x.

Substituting this into the second equation gives us 2x - 3(30 - x) = 5, which simplifies to 2x - 90 + 3x = 5 and further to 5x = 95.

Dividing both sides by 5, we find x = 19. Now we can determine y by plugging x back into the first equation, resulting in y = 30 - 19, so y = 11.

The positive difference between the larger and smaller number is 19 - 11 = 8.