It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Who or why not?
Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.

Since we want the equation in the form y = kx, we need to find the value of k that will make this equation fellow to the bone we just wrote.

We can rewrite the equation as

y = ( m/ x) x b

Now, we can see that if we set k = m/ x, the equation will be in the form y = kx.

So, the equation that describes the relationship between the number of square yards( x) of ground to be covered and the number of scoops( y) of bean seed demanded is y = kx

where k = m/ x, and m and b are constants that depend on the specific situation.

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So, in response to the above question, we can state that We obtain the inequality following system of inequalities by combining these three constraints:

[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

[tex]x + y \geq 10[/tex]

Next, we know that Sam works out his cardiovascular system for no more than 7 hours. Thus, x must be less than or equal to 7. This restriction can be shown by the inequality:

[tex]x \leq 7[/tex]

Finally, we are aware that Sam only devotes a maximum of 6 hours to weight training. This implies that y should be between -6 and -6. This restriction can be shown by the inequality:

[tex]y \leq 6[/tex]

We obtain the following system of inequalities by combining these three constraints:

[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]

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A 90° rotation around the origin characterised the transition.

A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.

(x, y)(x, y) is the formula for a reflection over the x-axis.

Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation.  The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.

Step-by-step explanation: Took the test, no thanks neeeded :)

Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

Using angle relationship as reasons, the missing angles are:

1. m∠a = 108°

2. m∠b = 43°

3. m∠c = 114°

4. m∠d = 101°

5. m∠e = 82°

m∠f = 82°

6.  m∠g = 67°

m∠h = 113°

7. m∠i = 127°

m∠j = 53°

8. m∠k = 156°

m∠l = 24°

9. m∠m = 72°

10. m∠n = 86°

11. m∠p = 25°

12. m∠q = m∠r = 61°

The angle relationship that exist between the angles in question will determine how to solve for the missing angle measure in a figure. Some of them are:

1. m∠a = 108°,

Reason: alternate interior angles are congruent.

2. m∠b = 43°,

reason: corresponding angles are congruent.

3. m∠c = 114°,

reason: corresponding angles are congruent.

4. m∠d = 180 - 79

m∠d = 101°

Reason: same-side interior angles theorem (angle relationship)

5. m∠e = 82°,

reason: alternate interior angles are congruent.

m∠f = 82°

Reason: vertical angles are congruent.

6.  m∠g = 67°,

Reason: corresponding angles are congruent.

m∠h = 180 - 67 = 113°,

reason: same-side interior angles are supplementary.

7. m∠i = 127°

reason: corresponding angles are congruent.

m∠j = 180 - 127 = 53°

reason: linear pair angles are supplementary or have a sum of 180 degrees.

8. m∠k = 156°

reason: supplementary angles

m∠l = 24°

reason: alternate exterior angles are congruent

9. m∠m = 72°

reason: alternate exterior angles are congruent

10. m∠n = 180 - 94 = 86°

reason: supplementary angles

11. m∠p = 180 - 155 = 25°

reason: supplementary angles

12. m∠q = m∠r = 180 - 119 = 61°

reason: supplementary angles

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The equation that is used to find the cost of each necktie is (f - 8) = 21 and the cost is $ 29.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

Coefficients, variables, and, constants terms, and the equal to sign are the parts of an equation. Here the variable will represent the unknown quantity or unknown number.

Here we have

Will purchased 7 neckties during the sale.

He paid a total of $147.

The amount paid for 1 necktie = 147/7 = $ 21

Each necktie cost $8 less than its full price.

Here 'f' be the total price of the necktie

The the amount paid by Will = (f - 8)

Since each necktie costs $ 21

=> (f - 8) = 21

=> f = $ 29

Therefore,

The equation that is used to find the cost of each necktie is (f - 8) = 21 and the cost is $ 29.

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Complete Question:

At Trendy Tailor Boutique's annual end-of-season sale, every necktie in the shop gets marked down. Will purchased 7 neckties during the sale. Each necktie cost $8 less than its full price. He paid a total of $147. Which equation can you use to find f, the cost of each necktie at full price?

Never. Correlation coefficients are used to measure the strength of a linear relationship between two variables, not to prove cause and effect. To determine causation, it is necessary to conduct an experiment or study in which the independent variable is manipulated and the dependent variable is measured.

Correlation coefficients are used to measure the strength of a linear relationship between two variables. They can measure the degree to which variables move together, but they cannot be used to prove cause and effect. To determine causation, it is necessary to perform an experiment or study in which one variable is manipulated and the other is measured. This allows researchers to control for confounding variables and to determine if the manipulation of the independent variable had a direct effect on the dependent variable. Therefore, correlation coefficients cannot be used to support a claim of cause and effect.

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(2, -2) does not make the equation y = -5x - 2 true.

Why it is and what is an equation ?

We can check if the point (2, -2) satisfies the equation y = -5x - 2 by plugging in the values of x and y and seeing if the equation is true:

y = -5x - 2

-2 = -5(2) - 2

-2 = -12

Since -2 is not equal to -12, the equation is not true for the point (2, -2). Therefore, (2, -2) does not make the equation y = -5x - 2 true.

An equation is a mathematical statement that shows that two expressions are equal.

It typically consists of one or more variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

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Therefore, 10/12 cups of fruit are required for the dish, which can be expressed as 5/6 cups.

An element of a whole is a portion. The number is represented mathematically as a fraction, where the numerator and denominator are split. Both are numbers in a straightforward fraction. A fraction appears in the sum or base of a complicated fraction. The numerator of a perfect proportion is smaller than the denominator.

Based on the given conditions, formulate: [tex]\frac{2}{4} +\frac{1}{3}[/tex]

Cross out the common factor: [tex]\frac{1}{2}+\frac{1}{3}[/tex]

Rewrite fractions using the Least Common Denominator: [tex]\frac{3+2}{6}[/tex]

Calculate the sum or difference: [tex]\frac{5}{6}[/tex]

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Nominal data have no inherent order or ranking, while ordinal data have categories that have a natural order or ranking.

Nominal and ordinal are two sorts of information that are utilized in measurements and information examination. The primary distinction between them is in the idea of the information.

Nominal information are all out information where the qualities address discrete classes or gatherings, however there is no inborn request or positioning among them. Instances of ostensible information incorporate tones, orientation, conjugal status, or sorts of natural product.

Ordinal information, then again, have a characteristic request or positioning to their qualities. They are straight out information, yet the qualities address a particular request or progressive system. Instances of ordinal information incorporate degrees of training, grades, or rankings of sports groups.

To sum up, ostensible information are portrayed by classes that have no intrinsic request or positioning, while ordinal information have classifications that have a characteristic request or positioning.

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