which expression is equivalent to 16+8 pls and thank you!!\
4(4+4) 4(4+8) 2(14+4) 2(8+4)

Answer:

15

Step-by-step explanation:

2 * 3 = 6

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

The probability that all four movie tickets were won by girls is approximately 0.0499 or 4.99%.

To calculate the probability that all four movie tickets were won by girls out of a total of 30 participants (15 boys and 15 girls), we need to determine the number of favorable outcomes (where all four tickets are won by girls) and divide it by the total number of possible outcomes.

Since there are 15 girls and we want all four tickets to be won by girls, we need to select 4 girls out of the 15 available. This can be done using combinations. The number of ways to select 4 girls from 15 is denoted as "15 choose 4" or written as C(15, 4), and it can be calculated as follows:

C(15, 4) = 15! / (4! * (15 - 4)!) = 1365.

This gives us the number of favorable outcomes, which is 1365.

Now, let's calculate the total number of possible outcomes. Since there are 30 participants in total, we need to select 4 winners out of the 30. This can be calculated using combinations as well:

C(30, 4) = 30! / (4! * (30 - 4)!) = 27,405.

Therefore, the total number of possible outcomes is 27,405.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes = 1365 / 27,405 ≈ 0.0499.

Hence, the probability that all four movie tickets were won by girls is approximately 0.0499 or 4.99%.

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The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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Data:

Thomas: T

Janine: J

number of years: y

number of spin class: s

You multiply the number of years y per the amount of the yearly fee gym membership and the number of spin class s per the cost of one class.

Then, for Thomas (T) you get the equation:

For Janine you get the equation:

Answer:

so exactly what are you asking?

A small p-value provides strong evidence against the null hypothesis. The null hypothesis is the hypothesis that there is no significant difference or relationship between two variables.

The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
If the p-value is small, typically less than 0.05, it means that the observed result is unlikely to have occurred by chance alone if the null hypothesis is true. This suggests that there is strong evidence against the null hypothesis and that we should reject it in favor of the alternative hypothesis. .
For example, if we conduct a hypothesis test to determine whether a new drug is more effective than a placebo, a small p-value would indicate that the drug is indeed more effective. This is because the observed results are highly unlikely to occur if the drug is not effective.
In summary, a small p-value provides strong evidence against the null hypothesis and supports the alternative hypothesis. It suggests that the observed results are not due to chance and that there is a significant difference or relationship between the variables being studied.

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In order to identify the single transformation from the preimage to the image, it is essential to analyze the changes that have occurred in the shape, position, and orientation of the figure.

Transformations in geometry typically involve four main types: translations, rotations, reflections, and dilations.

A translation occurs when a figure is shifted along a straight path without changing its shape or orientation. If the preimage and image have the same shape and orientation but are located in different positions, then a translation has taken place.

A rotation involves turning a figure around a fixed point, called the center of rotation. If the preimage and image have the same shape and size but differ in orientation, then a rotation has likely occurred.

A reflection occurs when a figure is flipped across a line, known as the line of reflection. If the preimage and image are mirror images of each other and the same shape, size, and orientation, then a reflection has taken place.

A dilation is a transformation that changes the size of a figure but maintains its shape and orientation. If the preimage and image have the same shape and orientation but different sizes, then a dilation has occurred.

To identify the single transformation from the preimage to the image, examine the changes in shape, size, position, and orientation of the figures, and determine which of these four transformation types best describes the change.

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Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

The table shows the iterations of the Bisection and Fixed Point methods to solve the equation f(x) = x - cos(x) = 0 on [0, 1]. The Bisection method approximates the root while the Fixed Point method uses the function g(x) = cos(x) to iterate towards the root.

The completed table showing the iterations of the Bisection and Fixed Point methods to solve the equation f(x) = x - cos(x) = 0 on the interval [0, 1]:

Iteration Bisection Method (Root Approximation) Fixed Point Method (Root Approximation)

0 0.000000 0.000000

1 0.500000 1.000000

2 0.250000 0.540302

3 0.375000 0.857553

4 0.312500 0.654289

5 0.343750 0.793481

6 0.359375 0.701369

7 0.351563 0.763652

8 0.355469 0.722102

9 0.353516 0.750418

10 0.354492 0.731404

In the Bisection method, the root approximation is obtained by repeatedly bisecting the interval [0, 1] and selecting the subinterval that guarantees a change in sign. The Fixed Point method involves finding a function g(x) such that g(x) = x and then repeatedly iterating the function until convergence to the root is achieved.

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Answer:

Step-by-step explanation:168 i think

Answer:

168 Should be the answer

Step-by-step explanation:

4 would have to be added to complete the square.

To use the method of completing the square to solve the quadratic equation x^2 - 4x + 13 = 0, we need to add a specific number to "complete the square".

To do this, we first write the equation in the form:

x^2 - 4x + ___ = -13 + ___

The blank space on the left-hand side is where we will add the number to complete the square. The blank spaces on the right-hand side represent the constant terms that we need to balance the equation.

To complete the square, we need to add a number that will make the left-hand side of the equation a perfect square trinomial. Specifically, we want to add a number that makes the left-hand side equal to:

(x - 2)^2

To do this, we can take half of the coefficient of the x-term (-4/2 = -2), square it (4), and add it to both sides of the equation:

x^2 - 4x + 4 = -13 + 4

Simplifying, we get:

x^2 - 4x + 4 = -9

Now we can write the left-hand side as a perfect square trinomial:

(x - 2)^2 = -9

Taking the square root of both sides (remembering to include the ±), we get:

x - 2 = ±√(-9)

Since the square root of a negative number is imaginary, there are no real solutions to this equation. Therefore, the answer is that the number we need to add to complete the square is 4.

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Answer:

0.2709 ok that answer was right

Answer:

B. 0.2389

Step-by-step explanation:

...

Answer:

slope = -4

Step-by-step explanation:

A (-2,5)

B (0, -3)

slope = (-3-5)/(0-(-2)

-8/2

-4

Answer:  5:2 Ratio

Step-by-step explanation:

Answer:

8:5

Step-by-step explanation:

total no of balls= 30+12=42

ratio of all ball to baseballs= 42:15

simplified it would be= 8:5

Radical Equations

Step 1

To demonstrate how to solve a radical equation, let's use the following equation as an example:

Answer:x is greater than or equal to 4

Step-by-step explanation:

5x +2.5>22.5

22.5-2.5 = 20

20/5 = 4

x is greater than or equal to 22.5

Answer: The possible answer could be greater than.  

Step-by-step explanation:

Answer:

Paul has not yet posted 6 fliers.

Step-by-step explanation:

How many did he post last week?  (1/5)(70) = 14

This week?  (5/7)(70) = 50

Already posted:  14 + 50 = 64

Not yet posted:  70 - 64 = 6

Given that,Length of the arc through which a pendulum swing = 11 inLength of each successive swing = 4/5 the length of the preceding swing

To find

The total distance the pendulum has traveled during six Swings

Formula Used

Total distance the pendulum has traveled = Length of the arc through which a pendulum swing + Length of each successive swing + Length of each successive swing + Length of each successive swing + ..... to n terms

Here n = 6

The length of the first swing = 11 in

Length of the second swing = 4/5 × length of the first swing

= 4/5 × 11 in

= 8.8 In

Length of the third swing

= 4/5 × length of the second swing

= 4/5 × 8.8 in

= 7.04 in

Length of the fourth swing = 4/5 × length of the third swing

= 4/5 × 7.04 in

= 5.632 in

Length of the fifth swing = 4/5 × length of the fourth swing

= 4/5 × 5.632 in

= 4.5064 in

Length of the sixth swing = 4/5 × length of the fifth swing

= 4/5 × 4.5064 in

= 3.60512 in

Total distance the pendulum has traveled= Length of the arc through which a pendulum swing + Length of each successive swing + Length of each successive swing + Length of each successive swing + ..... to n terms

= 11 in + 11 in + 8.8 in + 7.04 in + 5.632 in + 4.5064 in + 3.60512 in

= 50.58352 in

≈ 50.6 in

Therefore, the total distance the pendulum has traveled during six swings is approximately 50.6 in.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

The two column proof can be presented as follows;

1. \(\overline{AB}\) ≅ \(\overline{CD}\)      \({}\)               Given

2. \(\overline{AD}\) ≅ \(\overline{CB}\)      \({}\)              Given

3. \(\overline{BD}\) ≅

4. ΔABD ≅ ΔBCD      \({}\)     SSS

Step-by-step explanation:

Given that we have;

Segment \(\overline{AB}\) of triangle ΔABD being congruent to the corresponding segment \(\overline{CD}\) of triangle ΔBCD and segment \(\overline{AD}\) of triangle ΔABD being congruent to the corresponding segment \(\overline{CB}\) of triangle ΔBCD, and that the common segment \(\overline{BD}\) of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.

Answer:

3,240

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Given the relationship between the radius, r, of a sphere and its surface area, A expressed as;

r = 1/2( A /4 π )

We are to find the radius r when Area A is 64π

Substitute A = 64π  into the expression and get r as shown;

Recall that: r = 1/2( A /4 π )

r = 1/2( 64 π/4 π )

r = 1/2(16)

r = 16/2

r = 8units

Hence the radius of the sphere will be 8 units

Answer:

x = 15°

Step-by-step explanation:

The secant- tangent angle x is half the difference of the intercepted arcs, that is

x = \(\frac{1}{2}\) (80 - 50)° = 0.5 × 30° = 15°

Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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Answer:

Step-by-step explanation:

The slope of a perpendicular line is the negative inverse of the reference line.  If the reference line is y=mx + b, with slope of m, the perpendicular line will have slope of -(1/m).  The perpendicular line would take the form:

y = -(1/m)+b

Example:  Reference Line:  y = 2x + 2

Perpendicular Line:  y = -(1/2)x + 2

See attachment.

Makaela was given a picture with dimensions of 5 x 7 to be placed in the school paper, but she needed to reduce its size to fit the available space. She decided to reduce the picture by a scale factor of 1/2. The new area of the picture will be 8.75 square inches.

The original area of the picture can be calculated by multiplying the length and width together:

Area = Length x Width

Area = 5 x 7

Area = 35 square inches

Makaela decided to reduce the picture by a scale factor of 1/2. This means that she will divide both the length and width of the picture by 2.

New Length = 5 / 2

New Length = 2.5 inches

New Width = 7 / 2

New Width = 3.5 inches

The new area of the picture can then be calculated by multiplying the new length and width together:

New Area = New Length x New Width

New Area = 2.5 x 3.5

New Area = 8.75 square inches

Therefore, the new area of the picture will be 8.75 square inches after Makaela reduces it by a scale factor of 1/2.

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Answer:

Homework

Step-by-step explanation

I got the answer by telling you to TRY and do your own homeowrk, Have you TRIED at least?!?!?

Answer:

The required number is 7

Step-by-step explanation:

Let a number = x

We are given the condition: five more than three times a number is 26

We need to find the number.

Writing the condition in mathematical form:

five more than three times a number is 26: \(3x+5=26\)

Now, solving this equation we can find x, the number

\(3x+5=26\\\)

Subtract 5 from both sides

\(3x+5-5=26-5\\3x=21\)

Divide both sides by 3

\(\frac{3x}{3}=\frac{21}{3}\\x=7\)

So, we get: x = 7

The required number is 7

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

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