in the accompanying diagram of circle o, chords ab and cd intersect at e. if ae x eb = 18 and ed = 6, what is ce?

a: 108
b: 24
c: 3
d: 18

The blank of ten is a number formed by raising 10 to an exponent is called a power of ten.

A power of ten is a number written in the form 10ⁿ, where n is an integer. The value of n indicates how many times 10 is multiplied by itself. For example, 10³ is a power of ten and equals 1,000 because 10 is multiplied by itself three times (10 x 10 x 10). Powers of ten are commonly used in mathematics and science to express very large or very small numbers, as they allow for a convenient shorthand notation. Exponential notation is a mathematical method that represents a number using a base and an exponent. It is commonly used in scientific notation, finance, and statistics to simplify large or small numbers. The exponent represents the number of times the base is multiplied by itself.

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Complete Question

The blank of ten is a number formed by raising 10 to an exponent is called                .

(a) Point estimate (mean difference): 2.2 tomatoes. (b) The standard deviation of differences: Approximately 3.47. (c) The test statistic: Approximately 1.38.

To perform a t-test for the population mean difference, follow these steps:

(a) Calculate the point estimate (mean difference): The point estimate is the mean difference between the yields of fertilizer A and fertilizer B.

Mean difference = (Sum of differences) / Number of pairs

Using the given data gives:

Mean difference = ((7-4) + (6-7) + (5-6) + (8-5) + (10-3)) / 5

Subtracting gives:

Mean difference = (3 - 1 - 1 + 3 + 7) / 5

Solving gives:

Mean difference = 11 / 5

Dividing gives:

Mean difference = 2.2

(b) Calculate the standard deviation of the differences:

To calculate the standard deviation of the differences, we need to calculate the squared differences, find their sum, divide by (n-1), and then take the square root.

Squared differences:\((3 - 2.2)^2, (-1 - 2.2)^2, (-1 - 2.2)^2, (3 - 2.2)^2, (7 - 2.2)^2\)

Solving gives:

Sum of squared differences = (0.64 + 12.96 + 12.96 + 0.64 + 21.16)

Solving gives:

The sum of squared differences = 48.36

The standard deviation of the differences \(= \sqrt{48.36 / 4}\)

Solving gives:

The standard deviation of the differences \(= \sqrt{2.09}\)

Rounded to three decimal places

The standard deviation of the differences ≈ 3.47

c) Calculate the test statistic:

The test statistic (t) = (Point estimate - Null hypothesis value) / (Standard deviation /√(sample size))

Let's assume the null hypothesis is that there is no difference between the two fertilizers

(i.e., mean difference = 0).

\(t = (2.2 - 0) / (3.47 / \sqrt5)\)

Substituting \(\sqrt 5 = 2.236\)

t = 2.2 / (3.47 / 2.236)

Rounded to two decimal places

t ≈ 1.378

So, the test statistic is approximately 1.378.

The gardener can compare this test statistic to critical values from the t-distribution to determine whether the difference between the two fertilizers is statistically significant at a certain significance level. If the calculated test statistic is greater than the critical value, she ma

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Answer:

m<ABC=81°

m<FEC=90°

Step-by-step explanation:

M<ABC=40°30’x2=80°60’=81°

m<FEC=90°

Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

Step-by-step explanation:

Answer is 5 weeks

A sibling 10x + 2510(5)+ 2550+25= £75B sibling 5x + 505(5)+50=£75

The sample size must become 2 in order to reduce the standard deviation to 1.6.

To determine the required sample size, we can use the formula for the standard deviation of the sampling distribution of the mean:

Standard deviation of the mean = Standard deviation of the population / √(Sample size)

We are given that the standard deviation of the mean for a sample size of 64 is 2. We want to find the sample size where the standard deviation is reduced to 1.6.

1.6 = 2 / √(n)

To solve for the sample size, we can square both sides of the equation:

(1.6)² = (2 / √(n))²

2.56 = (2²) / (n)

2.56 = 4 / (n)

Cross-multiplying, we have:

2.56 × (n) = 4

n = 4 / 2.56

n = 1.5625

Since the sample size must be a whole number, we round up to the nearest whole number.

Sample size = 2

Therefore, the sample size must become 2 in order to reduce the standard deviation to 1.6.

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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The amount that Blake should have invested is $28875.38

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Given here: Interest rate=5.7% compounded daily

Let p be the principal that Blake needs to invest

76000=P(1+5.7%/365)³⁶⁵ ˣ ¹⁷

76000=P(1.000156)⁶²⁰⁵

P=$28875.38

Thus Blake should have invested $28875.38

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The confidence interval is  0.028, 0.872

862 of 1013 randomly selected adults  wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is \(z_{0.025} = 1.96\)

The 95% confidence interval for proportion is

\(\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)\)

\(= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)\)

\(= 0.85 +/- 0.022\)

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

\(n * \widehat p = 1013 * 0.85 = 861 > 10\)

\(n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10\)

As the sample size is larger, we can use an approximate formula for the standard error.

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Answer:

The answer is ...

Step-by-step explanation:

10, 17, 24, 31, 38, 45, 52, 59, 66, 73, 80, 87, 94, 101, 108, 115, 122, 129, 136, 143, 150, 157, 164, 171, 178, 185, 192, 199, 206, 213, 220, 227, 234, 241, 248, 255.

255 is the 36th term

Mark Brainliest!

The 36the term of the given sequence is, 255.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 10, 17, 24, ..

Clearly, The sequence is an Arithmetic sequence.

Where, Common ratio (d) = 17 - 10 = 24 - 17

                                       = 7

And, First term (a) = 10

We know that;

The nth term of an Arithmetic sequence is,

⇒ a (n) = a + (n - 1) d

Hence, The 36the term of the Arithmetic sequence is,

⇒ a (n) = a + (n - 1) d

⇒ a (36) = 10 + (36 - 1) (7)

⇒ a (36) = 10 + 35×7

⇒ a (36) = 10 + 245

⇒ a (36) = 255

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Answer:

A.

\( \frac{x {}^{4} z {}^{3} }{y {}^{8} } \)

brainliest please♡♡

The required equivalent expression is x⁴ · z³/y⁸ to the given expression x⁴ y⁻⁸/z⁻³.which is the correct answer would be option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given expression as:

x⁴ y⁻⁸/z⁻³

To determine the equivalent expression to the given expression x⁴ y⁻⁸/z⁻³.

⇒ x⁴ y⁻⁸/z⁻³

Here the variable x has an exponent is 4 which is positive, the variable y has an exponent is 8 which is negative, and the variable z has an exponent is 3 which is negative,

Rearrange the terms of variables z and y in the above expression

⇒ x⁴ · z³/y⁸

Therefore, the required equivalent expression is x⁴ · z³/y⁸ to the given expression x⁴ y⁻⁸/z⁻³.

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Answer:

Total number of marbles = 12

P (1 red & 1 orange) =

\( \frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16\)

Answer:solution given:

total no of marbles [S]=12

total no of red marbles[R]=5

total no of green marbles[G]=3

total no of yellow marbles[Y]=2

total no of orange marbles[O]=2

now

the P( red, then orange) n[p]=?

we have

n[p]=\( \frac{n[R]+n[O]}{n[S]} \)

n[p]=\( \frac{5+2}{12} \)

n[p]=\( \frac{7}{12} \)

the P( red, then orange) n[p]=\( \frac{7}{12} \)

Answer: 9

Step-by-step explanation:

The inequality that represents the graph is: y ≥ -2x - 5

Using two points on the line, (-1, -3) and (0, -5), find the slope (m):

Slope (m) = change in y / change in x = -5 - (- 3) / 0 -(-1)

m = -2/1

m = -2

The y-intercept (b) is -5, because the line intercepts the y-axis at -5.

The line is a solid line and the shaded region is above it, therefore the inequality sign to use is "≥". To write the inequality, substitute m = -2 and b = -5 into y ≥ mx + b:

y ≥ -2x - 5

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The fourth person gains 25% in the price of the bracelet.

After deducting the gains experienced by the first three individuals, we must determine the overall percentage rise in the price of the golden bracelet.

Assume that the bracelet originally cost $100 for 100 units.

The price after the first person is 100 + 15% of 100 = 100 + 15 = 115 units since the first person makes a 15% profit.

The price after the second person is 115 + 20% of 115 = 115 + 23 = 138 units since the second person makes a 20% profit on the new price.

The price after the third person is 138 + 25% of 138 = 138 + 34.5 = 172.5 units since the third person makes a 25% profit on the new price.

The percentage increase between the original price and the final price (172.5 units) must now be calculated.

Percentage increase = (Final price - Original price) / Original price * 100

= (172.5 - 100) / 100 * 100

= 72.5%

The overall percentage increase in the price of the bracelet is 72.5%.

Since the bracelet's price increased by 85% overall, we can calculate the fourth person's percentage gain as follows:

Percentage gain by the fourth person = Total increase - Sum of gains by the first three persons

= 85% - (15% + 20% + 25%)

= 85% - 60%

= 25%

Therefore, the fourth person gains 25% in the price of the bracelet.

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Answer:

1. 12 inches

2. 36 inches

Step-by-step explanation: Solve for side b using the Pythagorean therom since this is a right triangle.

\(a^2+b^2=c^2\) - Where c is the largest side aka hypotenuse(if you are unsure, look at the side opposite to the right angle)

Substitute the given values to solve for the unknown side

\(9^2+b^2=15^2\)

Expand

\(81+b^2=225\)

Subtract 81 from both sides

\(b^2=144\)

Which means

\(b=+-12\)

but since its a triangle in the first quadrant and can only contain positive values, we disregard the negative solution. So b=12.

Lastly, for perimeter, just add all the side lengths together.

\(P=9+12+15\)

Which means that the perimeter is 36 inches!

Answer:

Step-by-step explanation:

Simplifying

2ax + 2y = c

Solving

2ax + 2y = c

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2y' to each side of the equation.

2ax + 2y + -2y = c + -2y

Combine like terms: 2y + -2y = 0

2ax + 0 = c + -2y

2ax = c + -2y

Divide each side by '2x'.

a = 0.5cx-1 + -1x-1y

Simplifying

a = 0.5cx-1 + -1x-1y

The value of the equation in terms of c, y, and a is (x - 2y)/2a so option (D) will be correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

In another word, the equation must be constrained with some constraints.

Given the equation,

2ax + 2y = c where x and y are variable and c is constant.

Now,

2ax + 2y = c

2ax = x - 2y

Divide by 2a into both sides

x = (x - 2y)/2a

Hence "The value of the equation in terms of c, y, and a is (x - 2y)/2a".

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We are given a table of temperatures that are being maintained at different times in a greenhouse . We are to consider that the temperatures increase at a constant rate and we are asked to create a graph for this.

The sum of s, h, and e in base 5 can be 133, 134, 142, 144, 152, or 153.

In mathematics, a combination refers to the selection of items from a larger set without regard to the order of the selected items. Combinations are used to count the number of ways you can choose a subset of items from a larger set.

Combinations have various applications in mathematics, probability theory, and statistics. They are used to solve problems related to counting, probability, permutations, and more. Combinations are particularly useful when order doesn't matter, and the focus is on selecting a subset of items from a larger set.

Selection without Order: Combinations are concerned with selecting items from a set without considering the order in which the items are chosen. For example, if you have a set of three elements {A, B, C}, selecting {A, B} and {B, A} would be considered the same combination because the order of selection doesn't matter.

Based on the given information that s, h, and e are distinct non-zero digits less than 5, we can conclude that they can take the values of 1, 2, 3, or 4. Since the digits must be distinct, we can examine the equation and find the sum of the three values.

The equation is not explicitly provided, but we can infer it based on the information given. Assuming the equation is in the form of she, where s, h, and e are the digits, we can find the sum of the three values.

she = (s times 5²) + (h times 5¹) + (e times 5⁰)

Since we are expressing the answer in base 5, the sum of the three values should be in base 5 as well.

The sum can be calculated as follows:

(s times 5²) + (h times 5¹) + (e times 5⁰) = (s times 25) + (h times 5) + (e times 1) = 25s + 5h + e

To find the sum, we need to substitute the possible values of s, h, and e and calculate the result for each combination.

Possible combinations of s, h, and e (using values 1, 2, 3, or 4):

(s, h, e) = (1, 2, 3): The sum is 25(1) + 5(2) + 3 = 25 + 10 + 3 = 38 in base 10, which is 133 in base 5.

(s, h, e) = (1, 2, 4): The sum is 25(1) + 5(2) + 4 = 25 + 10 + 4 = 39 in base 10, which is 134 in base 5.

(s, h, e) = (1, 3, 2): The sum is 25(1) + 5(3) + 2 = 25 + 15 + 2 = 42 in base 10, which is 142 in base 5.

(s, h, e) = (1, 3, 4): The sum is 25(1) + 5(3) + 4 = 25 + 15 + 4 = 44 in base 10, which is 144 in base 5.

(s, h, e) = (1, 4, 2): The sum is 25(1) + 5(4) + 2 = 25 + 20 + 2 = 47 in base 10, which is 152 in base 5.

(s, h, e) = (1, 4, 3): The sum is 25(1) + 5(4) + 3 = 25 + 20 + 3 = 48 in base 10, which is 153 in base 5.

By calculating the sum for each combination, we find that the sum of s, h, and e in base 5 can be 133, 134, 142, 144, 152, or 153.

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Answer:

$9,011.20

Step-by-step explanation:

I may have messed up with the calculation but I believe the answer is $9,011.20.

Answer:

15,840

Step-by-step explanation:

3 x 24 months = 72

72% of 22,000 = 15,840

:)

The altimeter will indicate a reading of 22,697 feet.

Standard deviation is a measure of variability in a dataset. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. This measure indicates how much variation exists in a dataset.

If you are at an altitude of Flight Level 230 (23,000 feet) and forget to set your altimeter to the local altimeter setting during descent, your altimeter will indicate different readings depending on the field elevation and the local altimeter setting.

To calculate the difference between the two, we use the standard deviation formula. Specifically, we calculate the difference between the local altimeter setting and the field elevation, and subtract that difference from the Flight Level. The standard deviation formula then looks like this:

Flight Level - (Local Altimeter Setting - Field Elevation)

In our example, the equation would look like this:

23,000 - (30.02 - 303) = 22,697

It is important to note that when making such calculations, the Flight Level should always be expressed in feet, rather than in thousands of feet.

By using the standard deviation formula and keeping track of settings like local altimeter setting and field elevation, pilots can ensure that their altimeter readings are accurate and that their aircraft will land safely

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Answer:

same time , 12 minutes

Step-by-step explanation:

'A' can eat 1÷6 pizza in 2 minutes

Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes

'B' can eat 1÷4 pizza in 3 minutes

therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes

So, Both 'A' and 'B' will finish at same time.

The shortest possible length of the other side is 15 units, and the longest possible length is 25 units.

Let's denote the shortest possible length of the other side of the triangle as 'x' units. To find the longest possible length, we subtract the lengths of the given side and the shortest side from the perimeter:

Longest possible length = Perimeter - Given side - Shortest side

= 40 - 15 - x

= 25 - x

Since a triangle's perimeter is the sum of its three sides, we can set up an equation:

Given side + Shortest side + Longest side = Perimeter

Substituting the values:

15 + x + (25 - x) = 40

Simplifying:

40 - x + x = 40 - 15

40 = 25 + x

x = 40 - 25

x = 15

Therefore, the shortest possible length of the other side is 15 units, and the longest possible length is 25 units.

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Type I error (also called a false positive) occurs when a null hypothesis is rejected when it is actually true. The probability of committing a Type I error is denoted by the symbol alpha (α), and is typically set at a certain level (e.g., 0.05 or 0.01) depending on the significance level desired for the hypothesis test.

Type II error (also called a false negative) occurs when a null hypothesis is not rejected when it is actually false. The probability of committing a Type II error is denoted by the symbol beta (β). The power of a statistical test is equal to 1 minus the probability of a Type II error (i.e., power = 1 - β).

Therefore, the statement that is true regarding the probability of Type I and Type II errors is that they are complementary to each other. That is, as the probability of a Type I error decreases (by setting a lower significance level), the probability of a Type II error generally increases (i.e., the power of the test decreases). Conversely, as the probability of a Type II error decreases (by increasing the sample size or effect size), the probability of a Type I error generally increases. It is important to strike a balance between controlling these two types of errors, depending on the specific goals and context of the research or hypothesis test.

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Answer:

This is an percentage question, meaning you have to calculate the percentage rise.

1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])

2) 26.3 is the answer

Hope it helps! :D

Answer:

24 units

Step-by-step explanation:

2πr(X/2π)

2π(8)(3/2π) = 24

Answer:

24cm

Step-by-step explanation:

i  got it right on khan

Answer:

Step-by-step explanation:

Let number of games played = x

Cost = rent of shoes + x* cost per game

      y  = 5+ x*2

  y = 5 + 2x

When x = 1

y = 5 + 2 = 7

A(1,7)

When x = 2 ; y = 5 +2*2 = 5+4 = 9

B(2,9)

When x =3 ; y = 5 +2*3 = 5 +6 = 11

C(3,11)

When x = 4;  y = 5+2*4 = 5+8 = 13

D(4,13)

When x =5 ; y = 5+ 2*5 = 5 +10 = 15

E (5,15)