Log 16 - Log64/Log 128​

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

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Answer:

go Amoeba and Paramecium.

Step-by-step explanation:

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Answer:

10-9=1

-6+0=-6

Step-by-step explanation:

Answer:

The mean is to the right of the median

Step-by-step explanation:

Given

Skewed right distribution

Required

Relationship between the mean and the median

The question would be better answered if there are options available. Since there are none, I will provide a general answer/explanation.

For a distribution that is right skewed, the mean is always on the right side of the median.

Answer:

20.1 feet

Step-by-step explanation:

sin = opp/hyp

sin85 = 20/x

xsin85 = 20

x = 20/sin85 ≈ 20.07

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

The algebraic expression 18n - 45 is correct for the statement "45 less than the product of 18 and a number written as an algebraic expression"

We can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.

Let us represent the unknown number with the letter "n"

The product of 18 and the number will be;

18 × n = 18n

45 less than the product of 18 and the number (n) is thus written algebraically as;

18n - 45

Therefore, 45 less than the product of 18 and a number(n) is written as an algebraic expression as 18n - 45.

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Answer:

5 and 5 because the squre root of 5 is 25

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

Answer:

Step-by-step explanation:

p = 8

q = 9

r = 26

Using the z-distribution, it is found that the correct option is:

\(p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)

A confidence interval is given by:

\(p \pm zs\)

In which:

In this problem, the proportions are:

Hence, the standard errors are:

\(s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}\)

When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:

\(p = p_1 - p_2\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)

Thus, the interval is:

\(p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)

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I wish I could help but I don't know

Answer:

The median is the middle of the set of numbers.

Step-by-step explanation:

A.

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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A Fair die is rolled once .Let A be the event of rolling an even number then 6 is the number of outcomes for A and B.

Set is any collection of objects (elements) in logic and mathematics, whether or not they are mathematical (like numbers and functions). The most common way to show a set is as a list with all of its members separated by braces. Unlike number, the intuitive concept of a set probably dates back even further.

A die has 6 faces,

S = {1, 2, 3, 4, 5, 6}

If A be the event of rolling an even number, then

A = {2, 4, 6}

If B be the event of rolling a number greater than 4, then

B = {5, 6}

A ∩ B are the values that are common to both sets, so

A ∩ B = {6}

Hence, the number of outcomes for A and B is 6.

Sets are well-organized collections whose components completely define them. Therefore, two sets are equivalent only if their components are identical. Membership, or elementhood, is set theory fundamental relationship.

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Answer:

10

Step-by-step explanation:

Answer:

45:9

Step-by-step explanation:

Answer:17

Step-by-step explanation:

Sister 1= x

Sister 2= x+2

Sister 3= x+4

We know that the sum of all the sisters' ages is 57:

x+x+2+x+4= 57

3x+6=57

3x=51

x=17

To find the oldest sister add 4:

17+4= 21

Multiply the hours by how much she makes per hour.

38 * 12 = $456

Therefore, she made $456 last week.

Best of Luck!

Answer:

the answer is A. x+x+2x=36

Step-by-step explanation:

Hey there!

The points are (x,2) and (8,17).

The slope given is 3.

Now,

Using slope formula.

\(slope = \frac{y2 - y1}{x2 - x1} \)

Put all values.

\(3 = \frac{17 - 2}{8 - x} \)

Simplify them to get answer.

\(3 = \frac{15}{8 - x} \)

\(3(8 - x) = 15\)

\(24 - 3x = 15\)

\(24 - 15 = 3x\)

\(x = \frac{9}{3} \)

Therefore the value of x is 3.

Hope it helps...

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

1. 27

2. 3

Step-by-step explanation:

1. 9^2 = 81         11 - 8 = 3

  81 / 3 = 27

2. (18 + 15 / 5) = (18 + 3) = 21

   (14 - 7) = 7

   21 / 7 = 3

I hope this helped and please mark me as brainliest!

Answer:

1. 27

2. 3

Step-by-step explanation:

1. 9 divided by 2 = 81         11 - 8 = 3

81 divided by 3 = 27

2. (18 + 15 / 5) = (18 + 3) = 21

(14 - 7) = 7

21 / 7 = 3

I hope this helped.

we can see the interval is between -2 and 1. but the -2 isn't included (you can notice by the white circle) and the 1 is included, so in interval notation you get:

(-2,1]

Answer:

x = y - 20

Step-by-step explanation:

Subtract 20 from both sides.

20 + x = y

x = y - 20

Answer:

y-20

Step-by-step explanation:

20+x=y

Sense you are solving for x subtract 20 from each side of the equation to get the x by itself. Doing this will leave you with:

x= y-20

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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