-X+4=67
-4Z-9=67
-7Y-10=67

Answer:

We've learned that the circumference is the distance around the circle and the diameter is the distance across the circle going through the center. ... To find the circumference given the diameter, you multiply the diameter by pi. To find the diameter given the circumference, you divide the circumference by pi.

Answer:

0.0625 miles

Step-by-step explanation:

There is a faster way but this way makes more sense

1/4 miles = 440 yards

440/4 (since 4 people)

110 yards per person

Put back into miles

Everyone ran 0.0625 miles

The following parts can be answered by the concept of Confidence interval.

a. The lower confidence bound at the 95% confidence level is approximately 0.031.

b. The true proportion of all ceramic hip recipients who experience squeaking is greater than 0.031 (3.1%).

(a) To calculate the lower confidence bound at the 95% confidence level for the true proportion of ceramic hips that develop squeaking, we will use the formula for a one-sample proportion confidence interval:

CI = p-hat ± Z × √(p-hat × (1 - p-hat) / n)

Where:
- p-hat is the sample proportion (9/156)
- Z is the critical value for a 95% confidence level (1.96)
- n is the sample size (156)

p-hat = 9/156 ≈ 0.0577

Standard error (SE) = √(0.0577 × (1 - 0.0577) / 156) ≈ 0.0138

Margin of error (ME) = Z × SE = 1.96 × 0.0138 ≈ 0.0271

Now, since we want the lower confidence bound, we will subtract the margin of error from the sample proportion:

Lower confidence bound = p-hat - ME = 0.0577 - 0.0271 ≈ 0.0306

So, the lower confidence bound at the 95% confidence level is approximately 0.031.

(b) The 95% confidence level used in (a) can be interpreted as: We are 95% confident that the true proportion of all ceramic hip recipients who experience squeaking is greater than 0.031 (3.1%).

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Answer:

r = .5 units  

Step-by-step explanation:

8.7 R is an improper  FRACTION of the 2 pi R of the entire circle ....set up a ratio:

8.7 / (2 pi)  =  3.9 / x       where x is the entire circumference measurement

x = 3.9 / (8.7 / (2 pi) )   = 2.82 units    

To find the radius    circumf = 2 pi r

                                     2.82 = 2 pi r      shows r = .5 units

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

F

(

x

)

=

−

x

2

−

3

x

+

C

Step-by-step explanation:

answer

congruent trapezoide for one

0,5(9+12)×1,5=15,75

area of picture frame =4×15,75=63

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

288pi

Step-by-step explanation:

The equation for volume of a sphere is 4/3 * pi * r^3

4/3 * pi * 216

288pi

Answer:

=−2x+688

Step-by-step explanation:

The third

The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.

The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.

The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.

Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.

Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.

b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.

The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):

SE = SD / √n

Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:

SE = 30 / √1000 = 30 / 31.62 ≈ 0.95

Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

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Answer:

117

Step-by-step explanation:

Sum of all angles of pentagon = 540

x + 86 + 140 + 138 + 59 = 540

x + 423 = 540

x = 540 - 423

x = 117

Answer:

x= 117°

Step-by-step explanation:

In a Pentagon the interior angles are equal to 540° so, first we take the values we have which is:

140°+138°+59°+86°= 423° in total

To find x all you do is take 423 away from 540

540 - 423 = 117°

x= 117°

Hope it helped, ask any questions if you are unsure:)

The probability of finding an electron between x = 0.1 nm and x = 0.2 nm is 0.1 nm.

The probability density function for finding an electron between two points in space is given by the square of the absolute value of the wave function, integrated over the given range.

Let's start by finding the normalization constant A for the given wave function:

∫|Ψ|^2 dx = 1

∫(2/√l)sin(2πx/l) dx = 1

Using integration by parts, we get:

A = √(l/2)

Now, the probability of finding the electron between x = 0.1 nm and x = 0.2 nm is given by:

P = ∫0.2nm 0.1nm |Ψ|^2 dx

P = A^2 ∫0.2nm 0.1nm (sin(2πx/l))^2 dx

P = (l/2) ∫0.2nm 0.1nm (sin(2πx/l))^2 dx

P = (10/2) ∫0.2nm 0.1nm (sin(2πx/10))^2 dx

P = 2 ∫0.2nm 0.1nm (sin(πx/5))^2 dx

Using the identity sin^2θ = (1/2)(1 - cos(2θ)), we can simplify this expression:

P = 2 ∫0.2nm 0.1nm (1/2)(1 - cos(2πx/5)) dx

P = ∫0.2nm 0.1nm (1 - cos(2πx/5)) dx

P = (∫0.2nm 0.1nm dx) - (∫0.2nm 0.1nm cos(2πx/5) dx)

The first integral is simply the length of the given interval:

∫0.2nm 0.1nm dx = 0.1nm

For the second integral, we can use the fact that the integral of cos(mx) from 0 to 2π is zero, unless m is equal to zero. In this case, m = 5, so we get:

∫0.2nm 0.1nm cos(2πx/5) dx = 0

Therefore, the probability of finding the electron between x = 0.1 nm and x = 0.2 nm is:

P = 0.1nm

So the probability of finding an electron between x = 0.1 nm and x = 0.2 nm is 0.1 nm.

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35.31º in DºM'S" form is 35º18'36".

To convert 35.31º to DºM'S" form, follow these steps:

1. Begin with the decimal degrees (35.31º). The whole number (35) represents the degrees (D).

2. Subtract the whole number (35) from the decimal degrees (35.31).

Multiply the remaining decimal (0.31) by 60 to find the minutes (M): 0.31 x 60 = 18.6.

The whole number (18) represents the minutes.

3. Subtract the whole number of minutes (18) from the decimal minutes (18.6).

Multiply the remaining decimal (0.6) by 60 to find the seconds (S):

0.6 x 60 = 36.

The whole number (36) represents the seconds.

So, 35.31º in DºM'S" form is 35º18'36".

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Answer:

n= plus or minus (+-) square root 69/ 3 -2

Step-by-step explanation:

Answer:

n = -2[+/-] (2 \(\sqrt{69}\))/3

Step-by-step explanation:

in other words, the answer is

n=0.768875

and

n = -4.76887

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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3s - 8 = 2s

First, let's subtract 3s from both sides

-8 = -s

Divide both sides by -1

8 = s

You have one solution which is s = 8

There is only a solution for the given equation 3s − 8 = 2s, s=8.

A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically find answers to these questions.

It is given that the equation is,3s − 8 = 2s.

In order to find the value of s we have to simplify the given equations by applying the arithmetic operations.

3s - 8 = 2s

3s-2s= +8

s=8

Thus, the number of the solution for the given equation will be 1.

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Answer:

what function

we cant see a problem

Step-by-step explanation:

Answer:

Your not giveing enof info

Step-by-step explanation:

Answer:

to find the value of x u would have to multiply the numbers in the equation and then u will get ur answer.

Step-by-step explanation:

I hope this helps

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Yeah, if the 95% cοnfidence intervals fοr twο measured values οverlap, we may basically infer that the twο values agree. Therefοre, All three values agree.

Mathematicians, particularly statisticians, use a variety οf means. Every mean serves tο cοndense a certain set οf facts, frequently tο help grasp the general significance οf a particular data set.

If the established value falls within the 95% cοnfidence interval, which is a range οf 2x arοund the measured mean (where x is the standard uncertainty), the measured value is said tο agree with the estimated οr expected value.

This is accurate because predicted values agree with measured values if they fall within a 95% cοnfidence interval. The range οf 2x is used tο measure the cοnfidence interval.

Yeah, if the 95% cοnfidence intervals fοr twο measured values οverlap, we may basically infer that the twο values agree. The twο measured values agree with the expected value if the 95% cοnfidence intervals οverlap.

Thus, all three values agree.

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To be certain to get one sock of each color, we need to pull at least the maximum number of socks of any single color.

In this case, there are 10 black socks, so we need to pull at least 10 socks to be certain to get one of each color.

Therefore, the minimum number of socks that must be pulled at random to be certain to get one of each color is 10.

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19 socks must be pulled at random to guarantee obtaining one sock of each color. To be certain to get one of each color, we need to consider the worst-case scenario. Let's assume we first pull out all the red socks. In this case, we would still need to pull out the remaining blue and black socks.

Since there are 8 blue socks and 10 black socks, the maximum number of socks we would need to pull out to guarantee having one of each color is 8 + 10 + 1 = 19.

To understand why we add 1 at the end, let's break it down:
- We pull out 8 blue socks, and at this point, we have 6 red and 2 black socks left.
- Next, we pull out the remaining 6 red socks, and we have 2 black socks remaining.
- Finally, we pull out the remaining 2 black socks, and now we have one of each color.

Therefore, we can conclude that we need to pull out a total of 19 socks to be certain of getting one sock of each color.

In conclusion, 19 socks must be pulled at random to guarantee obtaining one sock of each color.

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The value of h'(2) is 25

The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.

A composite function is a function that is formed by taking the output of one function and using it as the input of another function.

For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).

here we have

h(x) = √6 + 5f(x)

Derivative of h(x) with respect to x

h'(x) = d/dx (√6 + 5f(x))

h'(x) = d/dx (√6) + d/dx (5f(x))

h'(x) = 0 + 5f'(x)

h'(x) = 5f'(x)

Now substitute x = 2 and f'(2) = 5, to find h'(2)

h'(2) = 5f'(2)

h'(2) = 5(5)

h'(2) = 25

Therefore,

The value of h'(2) is 25

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Complete Question:

If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

it is 5

Step-by-step explanation:

|-4+7|/3 + |13-(-7)|÷5

Answer is written down below

Answer:

3x^2z√2

/ 2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

The minimum monthly payment for Brian is $25.

The minimum payment is the smallest amount of money you must pay each month to maintain the status of your account. The statement balance is your total account balance for that billing cycle. The current balance is the sum of your most recent bill plus any charges.

From the information, the minimum monthly payment for Brian's credit card is 3.5% of his balance or $25

Since the balance was $722, the amount will be:

= 3.5% × $722

= 0.035 × $722

= $25.27

Since $25.27 is more than $25, the minimum monthly payment is $25.

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Answer:

I NEED THE SAME ANSWER

Step-by-step explanation: