Using the 68-95-99.7 Empirical Rule-of-Thumb, answer the following questions. No partial credit will be given for using any other method. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 450 with a standard deviation of 30 on a standardized test. The test scores follow a normal distribution a. What percentage of scores would you expect to be greater than 3902 % b. What percentage of scores would you expect to be greater than 480? % c. What percentage of scores would you expect to be between 360 and 480? % d. What percent of the students, chosen at random, would have a score greater than 300? Which of the following is the correct answer is it close to 100% or close to 99.7% or close to 0%? The percent is closest to % e. True or False: The total area under the normal curve is one.

Answer:

The first multiple-choice doesn't represent a function  

Step-by-step explanation:

(-4,3),(1,-6),(-8,-1),(1,9)

because a function has two pairs with the same x value

*hope that makes sense*

The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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So, the general solution in the form F(x, y) = C is: (x - 6xy) + (4/8)y^8 - (1/7)y^7 + C = 0.

To find the general solution of the given differential equation: y + 4y^7 = (y^6 + 6x)y',

Let's rewrite the equation in differential form by multiplying both sides by dx:

(y + 4y^7)dx = (y^6 + 6x)dy

Now, let's integrate both sides:

∫(y + 4y^7)dx = ∫(y^6 + 6x)dy

Integrating the left side:

∫(y + 4y^7)dx = ∫ydx + 4∫y^7dx

Using the power rule of integration, we have:

∫(y + 4y^7)dx = xy + (4/8)y^8 + C1

where C1 is the constant of integration.

Integrating the right side:

∫(y^6 + 6x)dy = ∫y^6dy + 6∫xdy

Using the power rule of integration again, we get:

∫(y^6 + 6x)dy = (1/7)y^7 + 6xy + C2

where C2 is another constant of integration.

Therefore, the general solution of the differential equation is:

xy + (4/8)y^8 + C1 = (1/7)y^7 + 6xy + C2

Rearranging terms, we can write it in the desired form F(x, y) = C:

(x - 6xy) + (4/8)y^8 - (1/7)y^7 + C1 - C2 = 0

Letting C = C1 - C2, we can rewrite it as:

(x - 6xy) + (4/8)y^8 - (1/7)y^7 + C = 0

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Answer:

y = 54x

Step-by-step explanation:

→ Divide one y value by its corresponding x values

27 ÷ 0.5 = 54

Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

The area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.

We are given that:

The dimensions of the trapezoid are:

Height = 8 cm

Shorter side = 5.7 cm

longer side = 15.5 cm

Area of the trapezoid will be:

A = (a + b) / 2 × h

Substituting the values in the formula, we get that:

A = (5.7 + 15.5) / 2 × 8 cm²

A = 21.2 × 8 cm²

A = 169.6 cm²

Therefore, we get that, the area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.

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Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Answer:

14.6mm

Step-by-step explanation:

The formula for finding the circumference of a circle is 2πr.

The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.

So we divide the circumference by 2 and pi which is 3.14 which will give us the radius

r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6

Answer: its c

Step-by-step explanation:

515 per month

6182 per year

The radius of convergence, R, of the series Σ(-1)^n (x-4)^(3n+1) is 1, and the interval of convergence, I, is (-1, 1).

The radius of convergence, R, can be determined using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is L, then the series converges absolutely if L < 1, diverges if L > 1, and the test is inconclusive if L = 1. In the case of the given series, we apply the ratio test:

|(-1)^n+1 (x-4)^(3(n+1)+1)| / |(-1)^n (x-4)^(3n+1)|

Simplifying, we get:

|(x-4)^3| / |-1|

Since |-1| = 1 and we want the limit as n approaches infinity, we focus on the term (x-4)^3. The limit of this term as n approaches infinity will be 0 if |x-4| < 1 and infinity if |x-4| > 1. Therefore, the radius of convergence, R, is 1.

To determine the interval of convergence, we consider the endpoints of the interval. Plugging in x = -1 into the series, we get:

Σ(-1)^n (-1-4)^(3n+1) = Σ(-1)^n (-5)^(3n+1)

This is an alternating series that converges by the alternating series test. Similarly, plugging in x = 1, we get:

Σ(-1)^n (1-4)^(3n+1) = Σ(-1)^n (-3)^(3n+1)

Again, this is an alternating series that converges. Therefore, the interval of convergence, I, is (-1, 1), including the endpoints.

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Answer:

the answer to the first one is 118 the value of x is 113

Step-by-step explanation:

SOMEONE DELETED MY ORIGINAL ANSWER

The two angles will be linear pairs if the sum is 180° therefore,linear pair of 62° is 118° so option [A] is correct.

The value of x in the figure is 113° so option [C] is correct.

The m∠EXD and m∠AXE are the supplementary angles so option (B) is correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

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You have the following expression:

by simplifying the previous expression you obtain:

where you have taken into account to factorize the variables inside the root in a way you can simplify it.

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Answer:

the answer is B

Step-by-step explanation:

Answer:

The triangle must be an isosceles triangle so as to only get one measurement

Step-by-step explanation:

The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse

THE FORMULA: A square+b square=c square

Answer: $5.15

Step-by-step explanation: Add all the candy, then subtract how much he gave the cashier ($20) and the amount for the candy (14.85).

The new flat screen television that Tracy bought has a diagonal length of 56 inch

With the information given we can calculate the diagonal length of the television using the Pythagorean theorem equation.

The formula and the procedure that we have to use is:

h2= a2 + b2

Where:

Information about the problem:

Applying the Pythagorean theorem and finding the variable, we get:

h² = a² + b²

h² = (27 inch)² + (49 inch)²

h² = 729 inch² + 2401 inch²

h² = 3130 inch²

h = \(\sqrt{}\)3130 inch²

h = 55.95 inch rounding up we get 56 inch

It is a mathematical equation that relates the three sides of a right angled triangle (major side, minor side and hypotenuse) and states that the sum of the squared sides equals the squared hypotenuse. Its general equation is:

h² = a² + b²

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The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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It's equation in point-slope from is -1/6x+5/2.

An equation is a formula that is express the equality of two equation.

Based on the given condition the formula

M= -1/6

Substitute {m -1/6

                        { X= 9

                        {Y = 1

(Into y= mx+b)

1=-1/6×9+b

Reduce the expression into the Lowest term

1=-1/2×3+b

Write as a single fraction

1=-3/2+b

Rearrange variables to the left side of the equation.

-b= -3/2-1

Now we have to find the denominator and write the numerators above common denominator

-b=-3-2/2

Calculate the sum or difference

-b=-5/2

b=5/2

Substitute {m=-1/6 b=5/2 into y mx+b

Y=-1/6x+5/2

Rewrite the equation of the line

Y= -1/6x+5/2 in point-slope

Y-1 = -x-9/6

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The definitions in Column 1 match with the following vocabulary words in Column 2:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics

The definitions in Column 1 correspond to specific vocabulary words from Column 2. Each definition describes a statistical concept or method. The corresponding vocabulary words are as follows:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics.

The most common result (the most frequent value) of a test, survey, or experiment: Mode.

The score that divides the results in half - the middle value: Median.

The average of a distribution is equal to the summation of x divided by the number of observations: Mean.

The difference between the highest and lowest score in a distribution: Range.

Probability distributions whose graphs can be approximated by bell-shaped curves: Normal distribution.

The average of the squared distances of the data values from the mean: Variance.

The positive square root of the variance: Standard deviation.

The number of standard deviations a point is from the population mean: z-score.

The branch of statistics that involves organizing, displaying, and describing data: Statistics.

These vocabulary words are fundamental in statistical analysis and are used to describe and interpret data in various fields of study

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Answer:

what are your answer choices

Answer:

the correct answwr is 79 toys

Step-by-step explanation:

I'm positive

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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Answer:

12.57

Step-by-step explanation:

a). The distance between A and C is derived to be 42° to the nearest degree.

b). The bearing of the point C with respect to A is equal to 72°

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

Let ∆ABC be the triangle formed with bearings so that:

angle B = 30° + 90° + 15°

angle B = 135°

AB = 20km

BC = 25km

a). The distance between A and C is calculated using the cosine rule as follows:

AC² = 20² + 25² - 2(20)(25)cos135° {cosine rule}

AC² = 1025 + 707.1068

AC = √1732.1068 {take square root of both sides}

AC = 41.6186 approximately 42°

b). The bearing of the point C with respect to A is the angle from the north of A to the line AC, so;

bearing of the point C with respect to A = 30° + 42° = 72°

Therefore, the distance between A and C is derived to be 42° to the nearest degree and the bearing of the point C with respect to A is equal to 72°

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In order to apply the chain rule, we need a composite function that involves multiple variables and their relationship.

The chain rule allows us to calculate the derivative of a composite function by multiplying the derivative of the outer function with the derivative of the inner function.

However, without an explicit function or equation involving the variables (,,), (=), (=), and (=), it is not possible to determine their partial derivatives using the chain rule.

Additional information or a specific equation relating these variables is required for further analysis.

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Answer:

Option D

Step-by-step explanation:

Let the age of Barbara sister = x years

And the age of Barbara's brother = y years

"Barbara's sister is 7 years younger than Barbara's brother"

x = y - 7

If y = 21,

x = 21 - 7 ------(1)

"Barbara's sister is twice old as Barbara"

x = 2b --------(2)

By substituting the value of x from equation (2) to equation (1),

2b = 21 - 7

2b + 7 = 21 + 7

2b + 7 = 21

Therefore, Option D will be the answer.