Temperature transducers of certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:

2 1 2 3 1 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3
0 4 2 1 3 1 1 3 41 2 3 2 2 8 4 5 1 3 1
5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 2 3

a. Determine frequencies and relative frequencies for the observed values of x = number of non-conforming transducers in a batch. (Round your relative frequencies to three decimal places.)
b. What proportion of batches in the sample have at most four non-conforming transducers? (Round your answer to three decimal places.)

After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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Answer:

y = -2/3x + 6 (last option)

Step-by-step explanation:

A parallel line has the same slope as the original line. Since y = -2/3x+6 and y = -2/3x +1 have the same slope, the answer is the last option

Answer:

the last one.

Step-by-step explanation:

It has to have the same angular coefficient (-2/3 in this case)

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

7/11 or

7

--

11

Step-by-step explanation:

Hope this helps :)

The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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Answer:

A

Step-by-step explanation:

Answer:

=2745

Step-by-step explanation:

=2700+23−44+66

=2723−44+66

=2679+66

=2745

The measures of the angles are JKN = 27 degrees and JNK = 126

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The rectangle

On the rectangle, we have

JKN = NJK

Using the above as a guide, we have the following:

JKN = 27 degrees

Next, we use the sum of angles in a triangle theorem

The sum of angles in a triangle is 180

Mathematically, this is represented as

J + N + K = 180

So, we have the following representation

JNK = 180 - 27 * 2

Evaluate

JNK = 126

Hence, the measure of the angle JNK is 126 degrees

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The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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The equation that generates the table is

y = (2/5)x + 4.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Money Spent (x)      $0  $20  $40  $60

Pounds of Food (v)  4      12     20    28

We can have the following points from the table.

(0, 4), (20, 12), (40, 20), and (60, 28).

Now,

Choose two points:

(0, 4) and (20, 12)

m = (12 - 4) / (20 - 0)

m = 8 / 20

m = 2/5

Now,

(0, 4) = (x, y)

y = mx + c

4 = (2/5) x 0 + c

4 = c

c = 4

Now,

The equation is given as,

y = mx + c

y = (2/5)x + 4

The equation that generates the table is

y = (2/5)x + 4.

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Answer:

y = -5x + 7

Explanation:

Slope is given -5

7 is the y-intercept.

Answer:

Step-by-step explanation:

5000\(\geq\)1280+97x

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

I hope this helps!

Step-by-step explanation:

Answer:

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

The expressions are illustrated below.

3x = 12

x = 12/3

x = 4

x + 4 = 17

x = 17 - 4

x = 13

9y + 3 = 21

9y = 21 - 3

9y = 18

y = 18/9

y = 2

x ÷ 2 = 4

x = 4 × 2

x = 8

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Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

I think it; 300cm is greater.

Why; 300 cm make 9 ft.

9 ft > 6 ft

300cm is greater than 6 ft.

Unit conversion is a multi-step procedure that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.

For this problem, we need to do a unit conversion between ft and cm. since,

1 ft = 30.48 cm

6 ft = 182.88 cm.

Therefore 300cm is greater than 6 ft.

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After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

We are given that the factored form of 30.8n+8.4 is a(11n+3).

To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.

Expanding a(11n+3), we get:

a(11n+3) = 11an + 3a

Equating this to 30.8n+8.4, we have:

11an + 3a = 30.8n + 8.4

We can factor out an "a" from the left-hand side:

a(11n + 3) = 30.8n + 8.4

Now we can see that this is the same as the given factored form, so we can equate the two expressions:

a(11n + 3) = a(11n + 3)

This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):

a = 30.8/(11n+3)

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when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

  -5

Step-by-step explanation:

Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.

__

When x=4, the equation becomes ...

  -3x +9y = -57

  -3(4) +9y = -57

  -12 +9y = -57

The first step is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.

  -12 +12 +9y = -57 +12 . . . . . add the opposite of -12

  9y = -45 . . . . . . . . . . . . . . simplify

The second step is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.

  (1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9

  y = -5 . . . . . . simplify

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

Answer:

48

Step-by-step explanation:

Answer:

B) - 6 + 3i

Step-by-step explanation:

   Complex number notation:

i² = -1

\(\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6\)

               \(\sf = 3i - 6\)

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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1716 is the probability that a sophomore, the second is a freshman, and the third is a sophomore.

What is probability explained with an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood that an event will occur increases with its probability.

                        The flip of a fair (impartial) coin serves as a straightforward illustration. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.

The total number of ways in which 3 students can be arranged for speech out of total 13 students is,

       P(13,3) = 13 * 12 * 11

                 = 1716

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Answer:

a)  See below.

\(\textsf{b)} \quad y=940\left(1.0257\right)^{2x}\)

c)  x is the number of years.

d)  y is the account balance in dollars.

e)  $1728.29

Step-by-step explanation:

Interest is compounded semi-annually, so:

Therefore, calculate 1.0257% of the balance every 6 months:

\(\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \rm Years& \rm Account\;balance\;(\$) \\\cline{1-2} \vphantom{\dfrac12} 0& 940.00\\\cline{1-2} \vphantom{\dfrac12} 0.5& 964.16\\\cline{1-2} \vphantom{\dfrac12} 1& 988.94\\\cline{1-2} \vphantom{\dfrac12} 1.5&1014.35\\\cline{1-2} \vphantom{\dfrac12} 2&1040.42\\\cline{1-2} \vphantom{\dfrac12} 2.5&1067.16\\\cline{1-2} \vphantom{\dfrac12} 3&1094.59\\\cline{1-2} \end{array}\)

An equation that models this situation is:

\(\implies y=940\left(1+\dfrac{0.0514}{2}\right)^{2x}\)

\(\implies y=940\left(1.0257\right)^{2x}\)

x is the number of years.

y is the account balance in dollars.

To calculate how much will be in the account after 12 years, substitute x = 12 into the equation from part (b):

\(\implies y=940\left(1.0257\right)^{2 \times 12}\)

\(\implies y=940\left(1.0257\right)^{24}\)

\(\implies y=940\left(1.8386054...\right)\)

\(\implies y=1728.2890...\)

Therefore, $1728.29 will be in the account after 12 years.

Answer:

In a standard normal distribution

95% of the data is within 2 standard deviations of the mean.

have a nice day! (^o^)