40 people were asked whether they can sew and whether they can knit. 14 of them can sew and 12 of them can knit. 5 of the people who can sew can also knit. How many of the people asked can neither sew nor knit?​

Answer: c=a2+b2

Step-by-step explanation:

The first step in solving the equation is to multiply both sides by the least common multiple (LCM) of the denominators.

To solve the equation (4)/(x) + (1)/(2) = (5)/(x):

Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is 2x.

Multiply the left side of the equation by 2/2 to get:

(8)/(2x) + (1)/(2) = (5)/(x)

Combine the two fractions on the left side of the equation:

(8+1)/(2x) = (9)/(2x)

Set the left side of the equation equal to the right side:

(9)/(2x) = (5)/(x)

Cross-multiply:

9x = 10x

Simplify:

x = 0

Therefore, the solution to the equation is x = 0.

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The minimum possible diameter of a soccer ball is 8.60 inches, and the maximum possible diameter is 8.70 inches.

What is equations?

Equivalent equations are algebraic equations that are having identical roots or solutions.

The soccer ball specifications require a diameter of 8.65 inches, with an allowable margin of error of 0.05 inch.

This means that the actual diameter of any new soccer ball should be within the range of 8.60 inches to 8.70 inches. The equation that can be used to find the diameter of a new soccer ball is d = 8.65 ± 0.05, where d represents the diameter. The symbol "±" indicates that the diameter can be either 0.05 inches larger or smaller than the specified diameter of 8.65 inches.

It is important to ensure that the diameter of a soccer ball falls within this allowable range to comply with the specifications and ensure fair play.

Therefore, The minimum possible diameter of a soccer ball is 8.60 inches, and the maximum possible diameter is 8.70 inches.

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To determine the percent success, divide the actual score by the theoretical score, and then multiply the result by 100 to convert the value to a percentage.

We define the actual score, theoretical score, and explain how to calculate the percent success on an exam.
Actual score:

The actual score refers to the number of points a student has earned on an exam.

It represents the student's performance on the test, taking into account the correct and incorrect answers.
Theoretical score:

The theoretical score is the maximum number of points a student can earn on an exam.

This represents a perfect performance, where the student answers all questions correctly.
Calculating percent success:

To determine the percent success, divide the actual score by the theoretical score, and then multiply the result by 100 to convert the value to a percentage.
a. Divide the actual score by the theoretical score: (actual score) / (theoretical score)
b. Multiply the result by 100: (result from step a) * 100
c. The final value is the percent success.

For example, if a student has an actual score of 80 and the theoretical score is 100, the percent success would be calculated as follows:
a. 80 / 100 = 0.8
b. 0.8 * 100 = 80
c. The percent success is 80%.

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The expected winning is $2.

To calculate the expected winning, we need to find the probability of each outcome and multiply it by the amount we will win in that outcome.

There are 2 possible outcomes for each coin flip: heads or tails. Therefore, there are 2x2x2=8 possible outcomes for flipping a coin three times.

Here are all the possible outcomes with the number of heads in each outcome:

The probability of each outcome can be calculated using the formula: probability = (number of favorable outcomes) / (total number of possible outcomes)

For example, the probability of getting 3 heads (HHH) is 1/8 because there is only one favorable outcome out of 8 possible outcomes.

Using this formula, we can calculate the probability and expected winning for each outcome:

To calculate the overall expected winning, we need to add up the expected winning for each outcome multiplied by its probability:

(1/8) x $6 + (1/4) x $4 + (1/4) x $4 + (1/4) x $4 + (3/8) x $2 + (3/8) x $2 + (3/8) x $2 + (1/8) x $0 = $2

Therefore, the expected winning is $2.

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The probability that a randomly selected carton has a puncture or a smashed corner is 0.076, or 7.6%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the probability that a randomly selected carton has a puncture or a smashed corner, we can use the formula:

P(puncture or smashed corner) = P(puncture) + P(smashed corner) - P(puncture and smashed corner)

where P(puncture) is the probability of a carton having a puncture, P(smashed corner) is the probability of a carton having a smashed corner, and P(puncture and smashed corner) is the probability of a carton having both a puncture and a smashed corner.

Substituting the given probabilities into the formula, we get:

P(puncture or smashed corner) = 0.03 + 0.06 - 0.014

P(puncture or smashed corner) = 0.076

Therefore, the probability that a randomly selected carton has a puncture or a smashed corner is 0.076, or 7.6%.

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Answer: 102 miles.

Step-by-step explanation:

You divide 17 by 5 and then multiply by 30.

The probability that the flight will leave on time when it is not raining is approximately 0.83.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents impossibility (the event will not occur) and 1 represents certainty (the event will definitely occur).

According to the given information:

To find the probability that the flight will leave on time when it is not raining, we need to subtract the probability of the flight being delayed due to rain from 1 (since the sum of all probabilities in a given event space is equal to 1).

Let:

P(rain) = 0.07 (probability of rain)

P(delayed) = 0.17 (probability of delay)

P(rain and delayed) = 0.02 (probability of rain and delay)

We can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

In this case, we want to find P(on time | not raining), which can be expressed as:

P(on time | not raining) = P(on time and not raining) / P(not raining)

Since rain and not raining are mutually exclusive events (i.e., they cannot occur simultaneously), we have:

P(on time | not raining) = P(on time) / (1 - P(rain))

We can now substitute the given probabilities to calculate the required probability:

P(on time | not raining) = P(on time) / (1 - P(rain))

P(on time | not raining) = (1 - P(delayed)) / (1 - P(rain))

P(on time | not raining) = (1 - 0.17) / (1 - 0.07)

P(on time | not raining) = 0.83

So, the probability that the flight will leave on time when it is not raining is approximately 0.83 (rounded to the nearest thousandth).

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16.) Mean average deviation= option C

17.) Range of a data set = option E.

18.) First quartile = opinion AB

19.) Second quartile = option B

20.) Third quartile = option A

21.) Interquartile range = option D

To determine the measures of the spread is to match their various definitions to the correct measures given such as follows:

16.) Mean average deviation: The average deviation of data from the mean.

17.) Range of a data set : The difference between the highest value and the lowest value in a numerical data set.

18.) First quartile: The median in the lower half.

19.) Second quartile: The median value in a data set.

20.) Third quartile: The median in the upper half.

21.) Interquartile range: The distance between the first and the third quartile.

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Answer:

gcf is 'x'

Step-by-step explanation:

the common factor to the terms 'x²' and '3x' is 'x'

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is -2

Answer: -2

Step-by-step explanation:

So this is asking for the cube root of -8.

This is the same as asking what is multiplied by itself 3 times to get -8.

-2 * -2 *-2 = -8

You can also use a calculator.

Another way to solve it is to write -8^(1/3).

Hope this helps!!!

Answer:  the solution for y in terms of x is y = (-1/4)x - 8.

Step-by-step explanation: In order to obtain a solution for y in the given equation of 4y = -x - 32, it is imperative to achieve the isolation of y on a singular side of the equation. To accomplish this task, it is possible to perform division on both sides of the equation by a factor of 4:

The given equation 4y/4 = (-x - 32)/4 can be expressed in an academic manner as follows: The given equation reveals that the quotient of 4y divided by 4 is equivalent to the quotient of the opposite of x added to negative 32, also divided by 4.

Upon performing simplification, the expression on the right-hand side yields:

The equation y = (-1/4)x - 8 can be expressed in an academic manner as follows: The dependent variable y is equivalent to the product of the constant (-1/4) and the independent variable x, with an additional decrement of eight.

The highway accident evidence to reject the null hypothesis that the population proportion is equal to 77%.

No, these data do not indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County.

The sample proportion of 15 out of 27 is 56.25%, which is not significantly different from the population proportion of 77%.

The p value for this test is 0.788, which is greater than the alpha level of 0.01.

The p value of this test indicates that the sample proportion of 15 out of 27 (56.25%) is not significantly different from the population proportion of 77%.

This means that there is not enough evidence to reject the null hypothesis that the population proportion is equal to 77%.

The p value of 0.788 is greater than the alpha level of 0.01, meaning that the results of this test are not statistically significant enough to support the alternative hypothesis that the population proportion is less than 77%.

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The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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To find the equation for the line of best fit, we can use linear regression. Based on the given data:

x: 2, 5, 7, 12, 16

y: 9, 10, 5, 3, 2

The equation for the line of best fit would be in the form: y = mx + b, where m is the slope and b is the y-intercept.

Using a calculator or statistical software, we can calculate the slope and y-intercept for the line of best fit.

The result is:

Slope (m): -0.580 (rounded to three decimal places) Y-intercept (b): 10.671 (rounded to three decimal places)

So, the correct answer is:

A. y = -0.580x + 10.671

Step-by-step explanation:

yes,because of SAS side angle side are equal.

Answer:

225 trains

Step-by-step explanation:

since they are using the same process and materials, we expect them to have the same ratio between trains made and defective trains :

600 / 30 = 20/1

one out of 20 is defect.

so, when they make 4500 trains, we need to divide this by 20 to get the number of expected defective trains :

4500 / 20 = 225

I find the answer option of 6000 defective trains really funny : if that were true, more than the produced trains (4500) would be defective. how ... ?

The inequality is simplified as 0 ≤ x ≤ 4

In mathematics, inequality refers to a mathematical expression that indicates that two values or quantities are unequal. An inequality is represented by the symbols "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).

For example, the inequality "x > 5" means that the value of x is greater than 5, and the inequality "y ≤ 10" means that the value of y is less than or equal to 10.

To graph the conjunction, we first need to solve for x:

-4 ≤ x - 4 ≤ 0

Add 4 to all parts of the inequality:

0 ≤ x ≤ 4

Image of graph is attached below.

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Answer:

26) 1.32

27) 90

28) 0.00845

29) 2.56x10^-1

30) 9.5x10^-3

31) 7.8x10

A. The correct option for similarity is option D -  Both estimate proportions of the data contained within k standard deviations of the mean.

Both the Empirical Rule and Chebyshev's Theorem are used to estimate the proportion of data contained within a certain number of standard deviations from the mean.

Therefore, option 'D' is the correct answer: Both estimate proportions of the data contained within k standard deviations of the mean.

B. The correct option for difference is option A - The Empirical Rule assumes the distribution is aproximately symmetric and bell-shaped and Chebychev's Theorem makes no assumptions.

The Empirical Rule assumes that the distribution is approximately symmetric and bell-shaped, while Chebyshev's Theorem makes no assumptions about the shape of the distribution.

Another difference is that the Empirical Rule is only applicable for normal distributions, while Chebyshev's Theorem can be applied to any distribution.

Therefore, option 'A' is the correct answer: The Empirical Rule assumes the distribution is approximately symmetric and bell-shaped and Chebychev's Theorem makes no assumptions.

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The total surface area of the given figure is 619.2 in², which is not listed in the provided options.

The surface area is known to be measure of the total area occupied by the surface of the object. Defining the surface area mathematically in the presence of a curved surface is better than defining the arc length of a one-dimensional curve, or the surface area of ​​a polyhedron (i.e. an object with flat polygonal faces). Much more complicated. For a smooth surface sphere such as the following, surface area is assigned using representation as a parametric surface. This surface definition is based on calculus and includes partial derivatives and double integrals.

The triangular face of the given figure represent an equilateral triangle of sides 12 in.

Area of the triangle = (√3/4) × a²

Area of the triangular face:

= (√3/4) × 12²

= (√3/4) × 144

= 57.6 in²

Area of the rectangle = Length × width

Area of the rectangular face:

= 12 × 14

= 168 in²

Area of the given figure:

= (2 × 57.6) + (3 × 168)

= 115.2 + 504

= 619.2 in²

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The experimental probability that Jenny will pull out an orange tile is option d.) fraction 26 over 50 or [tex]\frac{26}{50}[/tex].

Based on the results of an experiment or a real-world scenario, the experimental probability is a measurement of the chance that an event will take place. By dividing the number of positive outcomes (or the frequency of an event) by the entire number of possibilities that may occur, it is determined (or the total number of trials).

Given:

[tex]Color of Tile\quad\qquad | Purple | \; Pink | \; Orange\\Number of times drawn 6 | 18 | 26[/tex]

Given data indicates that an orange tile gets drawn [tex]26 \,times[/tex] total. Jenny goes through the procedure [tex]50\, times[/tex], thus there are [tex]50[/tex] drawings in all.

We divide the experimental chance of drawing an orange tile (26 times) by the total number of draws (50), to get Experimental Probability as:

The experimental Probability of drawing an orange tile =[tex]Number \,of times \,orange\, tile\, is \,drawn \,/ \,Total\, number \,of \,draws[/tex]= 26/50

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The total cups of milk orange juice Enrique has in refrigerator is equal to  18 cups.

Gallons of milk Enrique has in his refrigerator = 1 gallon

Pint of orange juice Enrique has in his refrigerator = 1 pint

Convert gallons to cups and pint to cups .

There are ,

16 cups = 1 gallon of milk

And 2 cups = 1 pint of orange juice

Enrique has 16 cups of milk

and 2 cups of orange juice.

Total cups of milk and orange juice in refrigerator

=16 cups of milk + 2 cups of orange juice

= 18 cups of milk and orange juice

Therefore, in total Enrique has  18 cups of liquid in his refrigerator.

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Answer:

Step-by-step explanation:

Medium is 28

Mean is 29

Range is 11

Midrange is 29.5

Answer:

x > 12

Step-by-step explanation:

3x + 18 > 54

The length of v, to the nearest 10th of a centimeter is 2.2.

To find the length of side v in triangle UVW, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle.

Using this formula, we have,

v/sin(m∠V) = w/sin(m∠W)

We know that w = 1.4 cm and m∠W = 63°. To find sin(m∠W), we can use a calculator,

sin(63°) ≈ 0.89

Substituting the values we know into the formula, we get,

v/sin(m∠V) = 1.4/0.89

To solve for v, we need to find sin(m∠V). We know that the sum of the angles in a triangle is 180°, so we can find m∠V by subtracting the measures of the other two angles from 180°,

m∠V = 180° - m∠U - m∠W

m∠V = 180° - 29° - 63°

m∠V = 88°

Now, we can substitute the value of sin(m∠V) into the equation and solve for v,

v/ sin(88°) = 1.4/0.89

v ≈ 2.2 cm

Therefore, the length of side v in triangle UVW is approximately 2.2 cm to the nearest tenth of a centimeter.

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Answer:

1.6

Step-by-step explanation: This is answer on DeltaMath

The solution to the equation 4,300e^(0.07x) - 123 = 5,000 for x is 2.5.

We can solve the equation 4,300e^(0.07x) - 123 = 5,000 for x by first adding 123 to both sides and then dividing both sides by 4,300 and taking the natural logarithm of both sides:

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

4,300e^(0.07x) - 123 = 5,000

4,300e^(0.07x) = 5,123

e^(0.07x) = 5,123/4,300

e^(0.07x) = 1.1914

0.07x = ln(1.1914)

x = ln(1.1914)/0.07

Using a calculator, we get:

x ≈ 2.50

Rounding to the nearest tenth, the solution to the equation is approximately 2.5.

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