11. What is the solution to

-2.5(4x-4)= -6?
x=

Answer:

perimeter of a square is l+l+l+l

16+16+16+16=64

Answer:

4√2 cm

Step-by-step explanation:

Perimeter of square = 4a = 16cm

a = 16 / 4

a = 4 cm

Length of each side = 4 cm

Diagonal^2 = side^2 + side^2

= 4^2 + 4^2

= 16 + 16

Diagonal^2 = 32

Diagonal = 4√2 cm

8:20 is the same as 2:5.

acc to our question-

hence,8:20 is the same as 2:5.

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Using the given confidence interval, it is found that you would expect between 3,640 and 4,970 men to work two or more jobs.

A confidence interval is given by the estimate plus/minus the margin of error.

Hence, for this problem, the bounds of the interval are given as follows:

The amounts will be given as follows:

You would expect between 3,640 and 4,970 men to work two or more jobs.

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Answer:

A = 79

Step-by-step explanation:

see picture below:

Answer:

the formula for a square pyramid is \(a^{2}\)\(\frac{h}{3}\) so I THINK its B please do not base ur answer from my opinion

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

For the square on the diagram, we can see that:

Remember that all the sides of a square have the same length.

Here we know that AC, the diagonal of the square, has a measure of 20 cm.

Then the length of DE, which is half of the diagonal of the square, is half of that, then:

20cm/2 = 10cm

DE = 10cm

DC is one of the sides of the square. Remember that for a square of sidelength S, the diagonal is:

D = √2*S

Then the sidelength is:

S = D/√2

Here we know that the diagonal measures 20 cm, then:

DC = S = 20cm/√2 = 14.14 cm

DC = 14.14cm

Finally, mADE refers to the measure located at the vertex D on the triangle on the angle ADE.

Remember that all the angles of a square measure 90°, and here the ray DE divides that angle in two halves, then mADE = 90°/2 = 45°

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Answer:

x = 5

Step-by-step explanation:

4x + 3 = 23 ( subtract 3 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Step-by-step explanation:

By subtracting 3 from both sides, we get

By dividing both sides with 4, we get

Answer: the answer is 24 CO3 0

Step-by-step explanation:

To compute the minimum mean square estimate (MMSE) of x given the event a={x<2.5}, we first need to understand what MMSE means. MMSE is a technique used in estimation theory to find the value that minimizes the mean squared error between the estimator and the true value of the parameter being estimated. In simpler terms, it is an approach to finding the best estimate of a value while minimizing the error.

Now, considering the event a={x<2.5}, we need to determine the probability distribution of x. Unfortunately, without any information about the probability distribution of x, it is impossible to compute the MMSE. The MMSE calculation relies on the probability distribution of x to determine the estimate that minimizes the mean squared error.  If you can provide more information about the probability distribution of x, I would be glad to help you compute the MMSE. In general, once you have the probability distribution, you can calculate the expected value of x given the event a={x<2.5}, which will be the minimum mean square estimate.

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Answer:

Probably B

Step-by-step explanation:

Answer:

$6.50,$6.75,$7.00,$7.25,$7.50,$7.75+

Step-by-step explanation:

all you need to do is add .25

Answer:

(3a-7)^2 is the answer

The interval of convergence is from (a - b) to (a + b), where b is a positive number.

1.  The radius of convergence R is given by the formula R = 1/|b|.

2.  The interval of convergence is given by the formula (a - b, a + b).

The radius of convergence R of a series is a measure of how quickly the series converges. It is calculated by taking the inverse of the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the radius of convergence is 1/|b|.

The interval of convergence is the region in which the series converges. It is determined by the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the interval of convergence is (a - b, a + b). This means that the series converges for values of x in the range from (a - b) to (a + b).

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The frequency with largest amplitude  for the particular solution to the differential equation is w = 0.707 (approximately).

To find the frequency with the largest amplitude, we can assume that the particular solution to the given differential equation is of the form:

y(t) = Aeiwt

Taking the first and second derivatives of y(t), we get:

dy/dt = iwtAeiwt

d2y/dt2 = -w2Aeiwt

Substituting these into the differential equation, we get:

-w2Aeiwt + 2Aeiwt = eiwt

Simplifying, we get:

A = 1 / (1 - 2iw2)

The amplitude of y(t) is given by |A|, which is:

|A| = 1 / |1 - 2iw2|

To find the frequency w for which |A| is largest, we need to minimize the modulus of the denominator of A over all frequencies w. We can do this using numerical optimization methods. So, frequency is 0.707.

Therefore, the frequency with the largest amplitude is w = 0.707 (approximately).

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The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.

What percentage of bags of cookies will contain between 64 and 68 cookies

When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.

Z = (X - µ) / σ

First, we convert both 64 and 68 to z-scores:

Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1

Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:

Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159

= 0.1823

So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.

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The 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

A confidence interval for the proportion of all American youngsters who are seriously overweight, we can use the following formula:

Confidence Interval = Sample Proportion ± Margin of Error

Sample Size (n) = 4707

Sample Proportion (p (cap)) = 18% = 0.18

Confidence Level = 99%

First, we need to calculate the margin of error (ME). The formula for the margin of error is:

Margin of Error (ME) = Critical Value × Standard Error

The critical value depends on the desired confidence level. For a 99% confidence level, the critical value can be obtained from a standard normal distribution table or a statistical software. In this case, the critical value is approximately 2.576.

The standard error (SE) is calculated as

Standard Error (SE) = √((p (cap) × (1 - p (cap))) / n)

Now, let's calculate the margin of error and the confidence interval

Standard Error (SE) = √((0.18 × (1 - 0.18)) / 4707)

Margin of Error (ME) = 2.576 × SE

Confidence Interval = Sample Proportion ± Margin of Error

Calculating the values

SE ≈ 0.00429

ME ≈ 2.576 × 0.00429 ≈ 0.01103

Lower bound = Sample Proportion - ME Lower bound

= 0.18 - 0.01103

= 0.169

Upper bound = Sample Proportion + ME Upper bound

= 0.18 + 0.01103

= 0.191

Rounding the results to three decimal places

Lower bound ≈ 0.169 Upper bound ≈ 0.191

Therefore, the 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

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\(log_{12} 12\) value of this log function is 1.

According to the log properties

\(log_{a}b =\frac{logb}{loga}\)

The properties of the log are used to expand a single logarithm into multiple logarithms and compress multiple logarithms into a single logarithm. A logarithm is just another way of writing exponents. Hence, the properties of logarithms are derived from the properties of exponents.

On comparing we get

a = 12 , b = 12

\(log_{12} 12 = \frac{log 12}{log 12}\)

\(log_{12} 12 = 1\)

This property of log is a change of base property that says log b a = (log꜀ a) / (log꜀ b). It means that log b a can be written as the quotient of two logarithms (log a)/(log b) where both logs should be of the same base.

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The value of the equation is A = ⁵√32,768 is A = 8

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ⁵√32,768   be equation (1)

On simplifying the equation , we get

A = 8 x 8 x 8 x 8 x 8 = 32,768

So , the 5th root of ( 32,768 ) is 8

Therefore , the value of A = 8

Hence , the equation is A = 8

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer

the measure of one of the interior angles the polygon is 140

Step-by-step explanation:

The probability of getting a 7 is 1/13 and a black card is 1/2.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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The probability of getting a 7  \(\frac{1}{13}\) and a black card is \(\frac{1}{2}\).

What is a Probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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Answer:

x = 2

Angle A = 95°

Angle B = 85°

Step-by-step explanation:

Concepts

Supplementary angles are angles that sum up to 180° to form a straight angle.

Application

We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.

Solution

Step 1: Simplify both sides.

Step 2: Subtract 50 from both sides.

Step 3: Divide both sides by 65.

Step 4: Plug x into angle A.

Step 5: Plug x into angle B.

Answer:

35 units

Step-by-step explanation:

Using Pythagoras Thereoem:

a² + b² = c²

21² + 28² = c²

c = √21² + 28² = √441 + 784 = √1,225 = 35 units

The value of probability P(A∩B) is 1/5, P(A∩B') is 3/10, P(A) is 3/7 and P(B|A) is 4/5.

Let A be the event that ball chosen from urn II was black. And let B be the event that ball transferred from urn I to Urn II was white.

Therefore, A' will be the event that ball chosen from urn II was not black. And B' will be the event that ball transferred from urn I to Urn II was not white.

The probability of getting a black ball from Urn II:

P(A) = Probability of black ball in Urn II= 2/5

The ball transferred from Urn I to Urn II, then a ball is chosen at random from Urn II.

Therefore, the probability of getting a black ball from Urn II when transferred from Urn I:

P(A|B) = (Probability of getting transferred white ball from Urn I to Urn II and then getting a black ball from Urn II) / Probability of getting a white ball from Urn I and transferring it to Urn II. = (2/4 * 2/5) / (1/2 * 5/7)= 7/20

The probability of transferred ball was white:P(B) = Probability of transferred ball being white from Urn I= 1/2

Now, we can calculate the remaining probabilities:

P(A∩B) = Probability of transferred white ball from Urn I to Urn II and then getting a black ball from Urn II= 2/4 * 2/5= 1/5

P(A∩B') = Probability of transferred white ball from Urn I to Urn II and then not getting a black ball from Urn II= 2/4 * 3/5= 3/10

P(B') = Probability of transferred ball being not white from Urn I= 1 - 1/2= 1/2

P(A|B') = (Probability of getting transferred not white ball from Urn I to Urn II and then getting a black ball from Urn II) / Probability of getting a not white ball from Urn I and transferring it to Urn II. = (2/4 * 3/5) / (1/2 * 2/7)= 3/7

P(B|A) = (Probability of getting a black ball from Urn II when transferred from Urn I) / Probability of transferred white ball from Urn I to Urn II. = (2/5 * 2/4) / (1/2)= 4/5

Hence, the probability that the ball transferred from Urn I to Urn II was white is 4/5.

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Answer:

I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.

Answer:

All the lines put 10 above it

Step-by-step explanation:

All the dimensions (Number of squares) Are equal to ten

Answer:

Step-by-step explanation:

Answer:

9$

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The number of primes less than 190 using the principle of inclusion-exclusion are 42

The principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.

Prime numbers are numbers only divisible by 1 and itself.

Prime numbers less than 190 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181

They are 42 in number

Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42

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