12 x 6 = 72
In this problem, you're multiplying 12 by 6.
What is 12 called in this math problem?

•Multiplier
O Product
O Addend
O Multiplicand

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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The smallest positive integer x for which the product of 140 and x is a perfect square is 140.

To find the smallest positive integer value of x for which the product of 140 and x is a perfect square, let's break down the problem step by step.

First, let's factorize 140 to find its prime factors:

\(140 = 2 \times 2 \times 5 \times 7\)

Next, we need to determine the prime factors of a perfect square that will cancel out the odd powers of the prime factors of 140.

In this case, the odd power is 1 (since all the prime factors of 140 have an exponent of 1).

To cancel out the odd powers, we need to find a perfect square with prime factors that include 2, 5, and 7.

The smallest such perfect square is:

\(2 \times 2 \times 5 \times 5 \times 7 \times 7 = 19600\)

Now, we can calculate the value of x by dividing the perfect square by 140:

x = 19600 / 140 = 140

Therefore, the value of x is 140.

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Answer:

4 adults:

4 x £5 = £20

Children tickets = £48 - £20 = £28

Childrens ticket cost is £28.

Answer:

The number of children is 7 and adult is 4

Step-by-step explanation:

I. Mrs Adams paid total 48 euro, for 4 adults and x children

When adult ticket cost 5 euro and children cost 4 euro

So Total price = Adult price + Children price

             48 = 5(4) + 4(x)

             48 = 20 + 4x

      48 - 20 = 4x

             28 = 4x

               x = 28 ÷ 4

              x = 7

Thats makes Mrs Adams bought ticket for 4 adults and 7 children.

4 adult costs 20 and 7 children costs 28

Hope that help :)

Answer:

similar; AA similarity; RQP

Step-by-step explanation:

We know that angle R is congruent (equal) to angle C.

We know that angle Q is congruent to angle B.

Because they ordered their triangle statement CBA, and we know that R matches C and Q matches B, you should order your statement as RQP.

The suit was sold at 65% of its original price.

Given,

The selling price of suits = $130

Suits originally cost = $200.

We need to find what percentage of its original price was a suit sold for.

Find the original cost of the suit

= $200

Find the selling price of the suit

= $130

How much  percentage is $130 out of $200

= 130/200 of 100

= 130 /200 x 100

= 130/2

= 65%

Thus the suit was sold at 65% of its original price.

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Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = \(x^{2}\) - 3x - 7x + 21

Combine like terms;

140 = \(x^{2}\) - 10x + 21

Inverse operations;

140 = \(x^{2}\) - 10x + 21

-21                  -21

119 = \(x^{2}\) - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Answer:

0.6 = \(\frac{6}{10}\)

Answer:

Step-by-step explanation:

since x=y, you can either substitute for x or for y,

lets do x

-3x - x = 4

-4x=4

x=-1

Now we can just plug in

-3(-1) - y = 4

3-y = 4

y=-1

we divide them and keep the quotient as decimals.

=) 4÷3 = 1.33

=) 9÷4 = 2.25

The value of c in order for the function f(x) to serve as a probability distribution, we need to ensure that the sum of all probabilities is equal to 1.

Given that f(x) is a probability distribution, it means that each value of x must have a non-negative probability assigned to it, and the sum of all probabilities must equal 1.
Let's say the possible values of x are x1, x2, x3, ..., xn.

Then, we have:
f(x1) + f(x2) + f(x3) + ... + f(xn) = 1
In this case, since we have only one function f(x), we have:
f(x) = c * f(x)
To find the value of c, we need to divide 1 by the sum of f(x) for all possible values of x.
So, c = 1 / (f(x1) + f(x2) + f(x3) + ... + f(xn))
Make sure to substitute the values of f(x) using the given function to calculate the sum and then determine the value of c.

Probability enables us to measure and analyse uncertainty in a variety of contexts, including games of chance, weather forecasting, and decision-making in ambiguous circumstances.

The number of favourable outcomes is frequently computed by dividing the total number of possible outcomes by the number of favourable outcomes.

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The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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0.26

you would divide 23 on both sides

hope this helps you

..........

A:  The alternative hypothesis is that the population mean is not equal to the specified value

B: p-value for a two-tailed test with a t-value of 0.9945 is 0.3739.

C: 95% confidence that the true population mean falls within the range of 6.0172 to 11.6970

A. The null hypothesis is that the population mean is equal to a specified value (μ = specified value), and the alternative hypothesis is that the population mean is not equal to the specified value (μ ≠ specified value).

B. To perform the hypothesis test,

we first need to calculate the sample mean and standard deviation.

Since we have,

Sample size (n) = 7

Sample mean (X) = (13+9+10+5+10+7+9) / 7 = 8.8571

Sample standard deviation (s) = 2.1561

Using the formula for the one-sample t-test, we get,

⇒ t = (X- μ) / (s / √(n))

Assuming the specified value is 8, then we have,

⇒ t = (8.8571 - 8) / (2.1561 / √(7))

⇒ t = 0.9945

Using a t-distribution table with 6 degrees of freedom (df = n - 1),

we find that the p-value for a two-tailed test with a t-value of 0.9945 is 0.3739.

C. Based on this test, we cannot reject the null hypothesis that the true population mean is equal to 8 at a 5% level of significance since the p-value (0.3739) is greater than the significance level (0.05).

Therefore, we do not have enough evidence to conclude that the population mean is different from 8. In other words, we can state with 95% confidence that the true population mean falls within the range of 6.0172 to 11.6970.

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Answer:

x = 44°

Step-by-step explanation:

Since this is an isosceles triangle, the other angle that isn't defined is also 68°. So, since all the angles add up to 180°,

x + 68(2) = 180

x + 136 = 180

x = 44°

Answer:

44 is the answer

Step-by-step explanation:

We are given the following parent function f(x)

The transformed function g(x) is

Notice that the change is done in the horizontal direction.

Recall that the transformation rule for the horizontal translation to the left is given by

Where c is the number of units by which the graph is shifted to the left.

So, we should expect that the graph is horizontally shifted to the left by 1 unit.

Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.

The highest point of a normal curve, also known as a Gaussian distribution or bell curve, always occurs at the mean. This is because the normal curve is symmetrical around the mean, with the same number of values on either side of the mean. Therefore, the peak of the curve must be directly above the mean.

The standard deviation is a measure of how spread out the values in a distribution are. For a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations of the mean, and 99.7% fall within three standard deviations of the mean. Therefore, while the highest point of the normal curve occurs at the mean, the curve does extend out to both sides of the mean, with the height of the curve gradually decreasing as the distance from the mean increases.

Specifically, the point at which the curve begins to flatten out on either side of the peak is approximately one standard deviation away from the mean. At two standard deviations away from the mean, the curve has flattened out significantly, and at three standard deviations away from the mean, the curve is almost entirely flat. This is known as the empirical rule, or the 68-95-99.7 rule.

Understanding the normal curve and its characteristics is important in statistics and data analysis, as many real-world phenomena can be approximated using a normal distribution. By knowing the mean and standard deviation of a distribution, we can make predictions about the likelihood of various outcomes occurring.

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Answer: The card is 28 cm by 23 cm

Check out the diagram below

Explanation:

I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.

If the original coordinate given was (x,y), then the new coordinate after the transformation would be (x+5, 2y).

The question is asking for the new coordinate of a point on the graph of the function f(x) after it undergoes a transformation given by g(x) = 2f(x-5). The transformation involves a horizontal shift of 5 units to the right, followed by a vertical stretch by a factor of 2.

Let's say the original coordinate for f(c) is (c, f(c)). To find the new coordinate, we need to apply the transformation to this point.

First, we shift the point 5 units to the right to get (c+5, f(c)). Then, we apply the vertical stretch by multiplying the y-coordinate by 2, giving us the final point (c+5, 2f(c)).

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Answer:

A= 153.86

Step-by-step explanation:

49×3.14= 153.86

Answer:

Area= 153.86 inches²

Step-by-step explanation:

Answer:

200wuwusjjdhsuauuaiajjduwiqisidiwiwia

Answer:

n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c

135= 73+59+31-19-9-16+4+ n(GnTnS)^c

no. of people not using any facility =12

An aggregation of parts is also called a A. Subsystem.

In computing, a subsystem is an aggregation or a compilation of parts that then form a system that is able to carry out certain types of purposes.

For instance, a central processing unit on a computer is a subsystem that has things such as the processor and the ram.

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Answer:

1/10

Step-by-step explanation:

y=Mx+b is slope intercept form where m is slope and b the y intercept

So the y intercept is 1/10

Hopes this helps please mark brainliest

The y-intercept of the line y = 4x + 1/10 is 1/10.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

A linear equation,

y = 4x + 1/10.

We know, the slope-intercept form,

y = mx + b.

Where m is the slope and b is the y-intercept.

Comparing the equations, we get,

b = 1/10

Therefore, 1/10 is the y-intercept.

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The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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The given question asks to evaluate the definite integral of the function f(t) = √(5 + 5e^t) with respect to t, using the Fundamental Theorem of Calculus.

The Fundamental Theorem of Calculus states that if F(t) is an antiderivative of f(t), then the definite integral of f(t) from a to b is equal to F(b) - F(a).

To evaluate the integral, we need to find the antiderivative of f(t). By applying the power rule and chain rule, we can find that F(t) = (2/3)√(5 + 5e^t) + C, where C is the constant of integration.

Using the Fundamental Theorem of Calculus, we can now evaluate the definite integral by substituting the upper limit and lower limit of integration into the antiderivative function F(t) and subtracting the results.

Since the limits of integration are not provided in the question, it is not possible to provide a specific numerical answer. However, by plugging in the given limits, you can calculate the definite integral either as an algebraic expression involving square roots or as a decimal approximation, depending on the level of accuracy required.

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The test statistic for this sample and the p-value for this sample is  t = 0.467.

Given:

sample of size n=305

M=83.6

SD=14.9.

Significance level of α = 0.001 . H o : μ = 82.4 H a : μ ≠ 82.4

To find the Test statistic

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

    \(=\frac{82.4.6-83.6}{\frac{14.9}{\sqrt{305} } }\)

     \(0.467\)

P-value:

With t = 0.467.

p-value = (1 - 0.467)

0.533 > 0.001

So, fail to reject H₀

Therefore, the failing to reject the Null Hypothesis.

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Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"

Probability is given by the expression:

Since, you are the first one to pick a block, the probability would be:

3/8, or 37.5% or 0.375. All that values are the same.

Answer:

210 soccer and 30 enjoying basketball