Vitamin D is important for the metabolism of calcium and exposure to sunshine is an important source of vitamin D. A researcher wanted to determine whether osteoperosis was associated with a lack of exposure to sunshine. He selected a sample of 250 women with osteoperosis and an equal number of women without osteoperosis. The two groups were matched - in other words they were similar in terms of age, diet, occupation, and exercise levels. Histories on exposure to sunshine over the previous twenty years were obtained for all women. The total number of hours that each woman had been exposed to sunshine in the previous twenty years was estimated. The amount of exposure to sunshine was compared for the two groups. Group of answer choices

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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The order of the functions' average rates is h(x), g(x) and f(x)

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

The functions

The interval is given as

4 ≤ x ≤ 7

And the average rate is calculated as

Rate = (f(x₂) - f(x₁))/(x₂ - x₁)

So, we have

f(x) rate = (10 + 10)/(7 - 4) = 6.67

g(x) rate = (19 - 7)/(7 - 4) = 4

For h(x), we have

h(7) = 7^2 - 9 * 7 + 5 = -9

h(4) = 4^2 - 9 * 4 + 5 = -15

So, we have

h(x) rate = (-15 + 9)/(7 - 4) = -2

When compared, we have

-2 less than 4 less than 6.67

So, the order is h(x), g(x) and f(x)

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The linear correlation coefficient is number determined from the given data which measure the strength of relationship between two variables.

The value of the linear correlation coefficient r is 0.196.

Given:

In the table the temperature and growth rate are given.

Write the formula to calculate the linear correlation coefficient.

\(r_{xy}=\dfrac{n\sum x_iy_i-\left(\sum x_i\right )\left(\sum y_i\right)}{\sqrt{n\left(\sum x_i^2\right )-\left(\sum x_i\right )^2}\sqrt{n\left(\sum x_i^2\right )-\left(\sum x_i\right )^2} } }\)

Refer the attached table to substitute the value.

\(r_{xy}=\dfrac{9(14615)-(530)(243)}{\sqrt{9(32656)-(530)^2}\sqrt{9(8245)-(243)^2} }\\r_{xy}=0.1955\)

Thus, the value of the linear correlation coefficient r is 0.196.

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Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

Answer:

Step-by-step explanation:

Let r(y)=x.

\(x=\frac{2}{3}(4y-5)\\\\\frac{3}[2}x=4y-5\\\\\frac{3}{2}x+5=4y\\\\y=\frac{3}{8}x+\frac{5}{4}\\\\r^{-1}(x)=\frac{3}{8}x+\frac{5}{4}\)

Answer:

The 3 Statements are A, D, and E

Step-by-step explanation:

The answer is A because Y * 8 = X for all of them.

The answer is D because for example 1.5 ÷ 12 = 1/8.

The answer is E because 3.75 * 8 = 30.

Hope this helps! :)

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

90

Step-by-step explanation:

each angle in a rectangle is a right angle and all right angles are 90 degrees

In set notation: {x | x ∈ ℝ}

In interval notation: (-∞, ∞)

Generally, A function is a block of code that performs a specific task. It is defined by a name and can accept parameters, perform operations, and return a value.

Functions are used to organize and simplify programs, making them easier to understand and maintain.

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Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B

B. III

A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.

The shape of the shaded figure is an L-shape

The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.

The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;

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Answer:

Area = length x width. Solution : Area = 5 x 10. Area = 50 in². Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(

−

5

)

(

−

4

)

Step-by-step explanation:

Not 100 percent sure

Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.

Inequalities refer to the mathematical expressions in which both sides are not equal.

In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.

these are the basic inequality operations.

1. x ≠ q means that x is not equal to q

2. x < q means that x is less than q

3. x > q means that x is greater than q

4. x ≤ q means that x is less than or equal to q

5. x ≥ q means that x is greater than or equal to q

Here are some different types of inequality.

1. Polynomial inequalities

2. Absolute value inequalities

3. Rational inequalities

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The function of the graph is f(x) = x²-3x -10

A quadratic function is a function in which the highest power of it's variable is 2. quadratic equation is given in the form f(x) = ax²+ bx +c

To form the quadratic function from a graph, we need to find the roots of the function from the graph. The root is the point where the curve intercept the x axis.

Therefore the roots are -2 and 5.

f(x) = x² -( z+y)x +zy

where z and y are the roots

z+y = -2 +5 = 3

zy = -2 × 5 = -10

f(x) = x²-3x -10

therefore the function of the graph is f(x) = x²-3x -10

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The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

What is

3

4

-

4

+2?

3

4

O

3

1

2

0

Alco

O

21

N

O2

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

229.9

Step-by-step explanation:

Answer:

229.9

Step-by-step explanation:

Uh easyyyyy lol

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

Answer:

the answer to the question is 3 8/33

Answer:

$20 of credit left on the card

Step-by-step explanation:

If we say that the prepaid phone card has 25 minutes on it since Maya paid 25 dollars for it. We can multiply 25 times 4 which equals 1 dollar per 4 minutes. Then, we can divide 20 by 4 to get 5 which means that she used 5 dollars of call time. We can now subtract 25-5 and we get 20. This tells us that there is 20 dollars left on the card.

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Answer:

b

Step-by-step explanation:

Answer: 7x -4

Step-by-step explanation:

Answer:

Go on Answers.com your welcome.

Answer:

x = -36

Step-by-step explanation:

Answer:

$280

Step-by-step explanation:

7•40=$280