Write the logarithmic equation log8 64 = 2 in exponential form

So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.

Yes, when comparing more than 2 treatment means, it is generally recommended to use analysis of variance (ANOVA) instead of several t-tests.

ANOVA allows you to test the overall differences between groups while taking into account the variability within each group. This helps to reduce the likelihood of making a Type I error (false positive) compared to conducting multiple t-tests. By using ANOVA, you can determine if there is a significant difference among the means of the groups.

If the ANOVA indicates a significant difference, you can then perform post-hoc tests (e.g., Tukey's HSD or Bonferroni) to compare specific group means. Overall, ANOVA is a more efficient and statistically appropriate method when comparing multiple treatment means. Hope this explanation helps!

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Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

Answer:

3D= -2

5D= -4

Step-by-step explanation:

3D = 2d -2

3d - 2d = -2

d= -2

5d =4d-4

5d - 4d = -4

d = -4

hope it will help you

Answer: w = 18

Step-by-step explanation:

2w + 2(w+6) = 84

Distribute: 2w + 2w + 12 = 84

4w + 12 = 84

4w=72

Answer:

A = 2w² - 5w

150 sq.cm

Step-by-step explanation:

Let the length be L and width be w

If the length of a rectangle is 5 centimeters less than 2 times the width, then;

L = 2w - 5

Area of the rectangle A = Lw

Since L = 2w - 5

A = (2w-5)w

Expand

A = 2w² - 5w

b) if w = 10cm

A = 2w² - 5w

A = 2(10)² - 5(10)

A = 200 - 50

A = 150 sq.cm

Hence the required area is 150 sq.cm

Answer:

∠ 5 = 84°

Step-by-step explanation:

Complementary angles sum to 90° , then

∠ 5 + ∠ 6 = 90° , that is

∠ 5 + 6° = 90° ( subtract 6° from both sides )

∠ 5 = 84°

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

The interest on $5.255 at 12% for 30 days using ordinary interest can be calculated using the formula:I = PRT,Where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.

Here, P = $5.255, R = 12% = 0.12 (as a decimal), and T = 30/365 = 0.08219 (in years, as the time is given in days).

So,

I = 5.255 x 0.12 x 0.08219 = $0.0518

Rounding to two decimal places, the interest on $5.255 at 12% for 30 days using ordinary interest is $5.26. Therefore, the correct answer is option (c).

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Sanji scored 169 more points in the third round than in the first round.

Sanji's total score in the video game can be found by adding up the scores from each round. We know that Sanji scored 125125 points in the first round and 263263 points in the second round. Therefore, his total score before the third round was:

Total score before third round = 125 + 263 = 388

We also know that Sanji's total score after the third round was 557557 points. So we can set up an equation:

Total score = Score in first round + Score in second round + Score in third round

Or, substituting the scores we know:

557 = 125 + 263 + Score in third round

Simplifying:

Score in third round = 557 - 125 - 263

Score in third round = 169

Therefore, Sanji scored 169 more points in the third round than in the first round.

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The payoffs for choosing a low price include the subsidy amount, resulting in higher profits for both Mutale and John if they choose the low price strategy.

To redraw the payoff matrix under the government subsidy system, we need to incorporate the subsidy of K200 for individuals who choose to set a low price for their beds. The original payoff matrix is as follows:

      | High Price | Low Price

-------+------------+----------

Mutale | (20, 10)   | (15, 12)

John   | (18, 11)   | (14, 13)

Under the government subsidy system, we need to adjust the payoffs for choosing a low price by adding the subsidy amount of K200. The new payoff matrix considering the subsidy is:

      | High Price   | Low Price + Subsidy

-------+--------------+-------------------

Mutale | (20, 10)     | (15, 12 + 200)

John   | (18, 11)     | (14, 13 + 200)

Simplifying the payoffs, the redrawn payoff matrix under the government subsidy system is:

      | High Price   | Low Price + Subsidy

-------+--------------+-------------------

Mutale | (20, 10)     | (15, 212)

John   | (18, 11)     | (14, 213)

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Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer:

5/7=W/28

Step-by-step explanation:

They won 5 out of 7 played games so that's their win rate. If the same team continued to do this for 28 games then they would win 20 times.

Answer:

answer is C.

5/7=w/28

Step-by-step explanation:

I took the test and it was right

The slack for the activity that we have here is given to be 0

This is the term that is used to solve for the difference that exists between the earliest start time and the latest finishing time.

The value of the slack is given as LS - ES

In the question, the value for LS = 8, while the value for ES IS EQUAL TO 8 hence we have

8 - 8 = 0

Therefore we conclude that the The slack for the activity that we have here is given to be 0

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Answer:

110d = 880

Step-by-step explanation:

Answer:

axis of symmtery: x = 3 or h = 3

Step-by-step explanation:

The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where x = h.

Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence, x = h.

Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.      

Answer:

9.6 ÷ 0.12

Expand 9.6/0.12 by multiplying both numerator and the denominator by 100.

=960/12

Devide 960 by 12 to get 80

=80

So the answer is 80

Step-by-step explanation:

#Carry on learning

The equivalent equations of \(2x+ 4y = 14\) and \(4x + y = 20\)

are \(2x+ 4y = 14\) and\(-16x -4y = -80\)

The system of equations is given as:

\(2x+ 4y = 14\)

\(4x + y = 20\)

Multiply both sides of the equations by -4.

So, we have:

\(-4 \times (4x + y) = -4 \times 20\)

Distribute the expression

\(-4 \times 4x -4 \times y = -4 \times 20\)

Evaluate all products

\(-16x -4y = -80\)

So, we have the following system of equations

\(2x+ 4y = 14\)

\(-16x -4y = -80\)

Hence, the equivalent equations are \(2x+ 4y = 14\) and\(-16x -4y = -80\)

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The statement concerning the binomial distribution that is correct is: "Its CDF shows the probability of each value of X."A binomial distribution is a probability distribution that describes the probability of k successes in n independent Bernoulli trials, where p is the probability of success in any one trial. The probability density function (PDF) of the binomial distribution is given by: P (X = k) = (n k)pk(1−p)n−k, Where X is the random variable representing the number of successes, p is the probability of success, and n is the number of trials. The cumulative distribution function (CDF) of the binomial distribution, on the other hand, gives the probability of obtaining a value less than or equal to x. Therefore, the correct statement concerning the binomial distribution is: "Its CDF shows the probability of each value of X. "Option A, "Its CDF is skewed right when π < 0.50," is incorrect because the skewness of the binomial distribution depends on both n and p, not just p. Option C, "Its PDF covers all integer values of X from 0 to n," is also incorrect because the binomial distribution only covers integer values of X from 0 to n, not necessarily all of them. Finally, option D, "Its PDF is the same as its CDF when π = 0.50," is incorrect because the PDF and CDF of the binomial distribution are different for any value of p, not just when p = 0.50.

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The working of T critical value calculator is explained

What is t test?

t test is the test used  if the sample standard deviation is known and population standard deviation is unknown.

t test is used if the sample standard deviation is known and population standard deviation is unknown.

Here, t value is calculated by the formula

\(t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(\bar{x}\) = mean of the sample

\(\mu\) = mean of the population

s = standard deviation of sample

n = Number of samples

Now, with the help of degree of freedom (n - 1) and the level of significance, the critical value of t is to be noted from the t table. Let it be \(t_{critical}\)

if the value of t lies between \(-t_{critical}\) and \(+t_{critical}\) then the null hypothesis is accepted, otherwise the null hypothesis is rejected.

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27.32 x 48.97

multiplying this will give 1337.8604

Answer: Choice B. Dependent; probabilities are not equal

P(picky) = 34%

P(picky | cat) = 44%

This is a vertical bar separating "picky" and "cat". It is not an uppercase letter i or lowercase letter L.

=================================================

Explanation:

There are 17 total picky eaters out of 50 pets total. The probability of randomly choosing a picky eater is

P(picky) = 17/50 = 0.34 = 34%

The notation P(picky | cat) translates to "probability of getting a picky eater given the pet is a cat". In other words, we have prior knowledge the pet is a cat. So we only focus on the cat row. We have 11 picky cats out of 25 cats total. This means

P(picky | cat) = 11/25 = 0.44 = 44%

Notice how this result is different from 34% found earlier. The fact that we have prior knowledge the pet selected is a cat changes the probability of P(picky). This means the events are dependent. If they were independent events, then P(picky) = P(picky | cat) would be true.

The required probability of a Picky pet is 34% and for a picky cat is 44% and these events are dependent. Option B is correct.

A survey of people has shown in the image,
Events of being a picky eater and being a cat independent or dependent events to be justified.

Probability can be defined as a number of the desired events per unit total number of events.

Here,
Probability of  being a picky eater P(picky eater),
Total picky eater = 17, and the total number of pets is 50 (from the table in the image)
P(picky eater) = 17/50
                       = 0.340
                       =  34%
Probability for picky cat p(picky cat)
number of cats = 25 and number of picky cats = 11
P(picky cat) = 11/25
                   = 0.44
                   = 44%
The probability of both events is dependent because in the Venn diagram we can see the contributions.

Thus, The required probability of a Picky pet is 34% and for a picky cat is 44% and these events are dependent.

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The algebraic expression "3(7j + 2 - 4j)" can be translated to the verbal expression "Three times the sum of seven times a number, two, and the negation of four times the same number."

The algebraic expression "3(7j + 2 - 4j)" can be translated into a verbal expression as follows: "Take a number, multiply it by seven, add two to the result, subtract four times the same number, and finally multiply the entire expression by three."

To break it down further, let's consider the variable j as the unknown number. Multiplying 7 by j gives us seven times the unknown number, 7j. Adding 2 to this term gives us 7j + 2. Then, subtracting 4j from this sum represents subtracting four times the same unknown number. So, we have 7j + 2 - 4j.

Finally, multiplying the entire expression by 3 gives us 3(7j + 2 - 4j). This means that the entire calculation described above is repeated three times.

In summary, the verbal expression for 3(7j + 2 - 4j) can be stated as "Three times the sum of seven times a number, two, and the negation of four times the same number."

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at a particular restaurant, each pizza roll has 65 and each chicken wing is 11 pizza rolls and 6 chicken wings.

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Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

The probability that exactly one fourth of the questions will be answered correctly is approximately 0.00166.

Given,

Number of multiple choice questions = 40

Each question has four possible answers, and only one of them is correct.

Thus, Probability of getting a question correct = 1/4.

Probability of getting a question incorrect = 1 - 1/4 = 3/4

Let X be the number of questions answered correctly by the student.

Since there are 40 questions in total,

X can take any value between 0 and 40, inclusive.

To find the probability that exactly one fourth of the questions will be answered correctly, we need to calculate the probability that X = 10.

Using the binomial distribution formula,

The probability of answering exactly k questions correctly out of n total questions is given by :

P(X = k) = nCk x pk x (1-p)n-k

where, nCk is the number of ways to choose k questions from n total questions,

p is the probability of answering a question correctly, and

1-p is the probability of answering a question incorrectly.

So, the probability of answering exactly 10 questions correctly is :

P(X = 10) = 40C10 x (1/4)10 x (3/4)30P(X = 10) ≈ 0.00166.

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Answer:

the answer is 1/2

Step-by-step explanation:

3/4 - 1/4 = 2/4 = 1/1