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Answer:

what i know for sure is 10/19 is rational

Answer:

=> All of the options are correct.

Step-by-step explanation:

a rational number is a number that can be shown as the quotient of two integers a and b(the denominator b must not be equal to zero).

10/19 => a = 10, b = 19 (correct)

85/74 => a = 85, b = 74 (correct)

-48 => a = -48, b = 1 (correct)

-57 =>a = -57, b = 1 (correct)

=> All of the options are correct.

Hope this helps!

Answer:

45 and 13…......

Step-by-step explanation:

devide

Answer: The area, in square feet, of the piece of wood is \(32 ft^{2}\).

Step-by-step explanation:

Give: Length = 8 feet

Width = \(\frac{1}{2} \times 8\) = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

\(Area = length \times width\)

Substitute the values into above formula as follows.

\(Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}\)

Thus, we can conclude that the area, in square feet, of the piece of wood is \(32 ft^{2}\).

Answer:

X= -2x - 1,2x + 3

Step-by-step explanation:

1)Break down the problem into these 2 equations.

(2x-3) - X+ 1 = 4x − 1

-(-(2x-3) - X + 1) = 4x − 1

2)Solve the 1st equation: (2x-3) - X + 1 = 4x − 1.

X=-2x 1

3)Solve the 2nd equation: -(-(2x-3) − X + 1) = 4x – 1.

X = 2x + 3

4)Collect all solutions.

X= -2x - 1,2x + 3

Answer:

she will drive 754 miles in 13 hrs.

Answer:

13 hours

Step-by-step explanation:

638 miles ----- 11 hours

754 miles ------ x

x = (754 x 11 ) / 638

x = 13

Answer:

138.23cm^2

Step-by-step explanation:

I took an assessment with the same question

I used a calculator for this, and got the answer of C. 138.2cm^2

Answer:

4 5/8

Step-by-step explanation:

3½+ 1 1/8 = 7/2 + 9/8 = 28/8 + 9/8

= 37/8 = 4 5/8

Total pizzas

After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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The distance the ladder reached to the building is 32.36 metres.

A ladder is leaning against the side of a building. The ladder is 10 meters long and the angle between the ladder and the building is 18°.

Therefore, the distance of the ladder to the building can be calculated using trigonometric ratios as follows:

Therefore,

sin 18 = opposite / hypotenuse

sin 18 = 10 / x

cross multiply

x = 10 / sin 18

x = 10 / 0.30901699437

x = 32.3624595469

Therefore,

distance of the ladder on the building = 32.36 metres

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Answer: the second one, the third one, and the fifth

Step-by-step explanation:

I am almost certain that is correct, but don't quote me on it

Answer:

2 3 5

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

Each of the descriptions gives some change to Terry's age. In general, years older will be added, years younger will be subtracted, multiples of 2 or 3 or 10 will cause Terry's age to be multiplied by those amounts. Of course, multiplication by 1/2 is the same as dividing by 2.

The words mean the same in math as they do in English.

_____

Additional comment

In view of the above, we're not fond of the wording "times older", just because "older" generally signifies addition. The wording "10 times older" suggests that we should add 10 times the amount to the original. Alas, common usage interprets "times older" to mean "times as old". Beware.

The lower sum for the area under the curve on the interval [−4,0] using 2 rectangles is approximately 44 square units.

A lower sum for the area under the curve on the interval [−4,0] using 2 rectangles can be visualized by taking a look at the graph of the function f(x)=x²+1 as shown below:

Lower sum visualization using 2 rectangles on [−4,0]

The blue curve represents the function f(x)=x²+1.

To create a visualization of a lower sum for the area under the curve on the interval [−4,0] using 2 rectangles, we can begin by partitioning the interval [−4,0] into 2 equal subintervals of width 2.

Each subinterval can be approximated using a rectangle with height equal to the minimum value of the function on that subinterval.

To find the minimum values of the function on the subintervals, we can evaluate the function at the endpoints of each subinterval. Therefore, the minimum values of the function on the subintervals are:

f(−4) = (−4)²+1 = 17f(−2) = (−2)²+1 = 5

Using these minimum values, we can construct two rectangles.

The height of the first rectangle is 5 and the height of the second rectangle is 17.

The width of each rectangle is 2, which is the width of each subinterval.

The total area of the two rectangles is given by: Area = 5(2) + 17(2) = 44

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Answer:

To find a, you'll put the value 8.3 as x in the equation to get the value of y which is equal to a. For the second point you'll put -10.2 as the value of y in the equation to get x which is equivalent to b.

Step-by-step explanation:

every point represents an ordered pair of (x, y) values.

if the point is on the given line (or any other form of curve/ function), then these x and y values make the functional equation true. if the equation turns out to be false with these values, then the point is not on that functional curve.

so, we need to find a and b to make the equations true.

(8.3, a)

3×8.3 - 4a + 24 = 0

24.9 + 24 = 4a

48.9 = 4a

a = 48.9/4 = 12.225

(b, -10.2)

3b - 4×-10.2 + 24 = 0

3b + 40.8 + 24 = 0

3b + 64.8 = 0

3b = -64.8

b = -64.8/3 = -21.6

1.  The disease is Autosomal Recessive.

2. The probability that II-2 is a carrier is 2/3.

3. The probability that II-4 is a carrier is 2/3.

4. The probability that III-3 is a carrier is 1/3.

5. The male is phenotypically normal (homozygous recessive).

6. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.

7. The diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.

The following is the solution to the given problem which includes the terms "inheritance" and "probability":

1. The most likely mode of inheritance for Pedigree 4 is Autosomal Recessive. In the given Pedigree, only the individuals II-3 and II-5 were affected while the individuals II-2 and II-4 were carriers, which suggests that the disease is Autosomal Recessive.

2. The probability that II-2 is a carrier is 2/3.Since II-2 has two heterozygous parents (II-4 and II-5) who are carriers, the probability that II-2 is a carrier is 2/3.

3. The probability that II-4 is a carrier is 2/3.

Since II-4 has two heterozygous parents (II-6 and II-7) who are carriers, the probability that II-4 is a carrier is 2/3.

4. The probability that III-3 is a carrier is 1/3.Since III-3 has one carrier parent (II-2) and one normal parent (II-1), the probability that III-3 is a carrier is 1/3.

5. The probability that III-3's child will be affected is 1/4.If III-3 marries a phenotypically normal male, the probability that their child would be affected is 1/4. This is because III-3 is a carrier (heterozygous) and the male is phenotypically normal (homozygous recessive).

6. The probability that III-1's child will be affected is 0.If III-1 marries a genotypically and phenotypically normal female, the probability that their child would be affected is 0. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.

7. Examples of diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.

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Answer:

The function rule is f(x)=2x+3. It cut the three out.

Step-by-step explanation: cut the three out

Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.

To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.

Substituting 4q for p, we get:

4q + q = 90

Combining like terms:

5q = 90

To solve for q, we divide both sides of the equation by 5:

q = 90/5

Simplifying:

q = 18

Therefore, the size of angle q is 18 degrees.

when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.

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The value of the integral in cylindrical coordinates is -81π/2.

We have the following integral

∫ from 3 to -3 ∫ from 0 to √(9-x^2) ∫ from 20 to 11+x^2+y^2 dz dy dx

Converting to cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

Also, from the equation of the cone, we know that r^2 = x^2 + y^2 = 9. Thus, we have

r = 3

Substituting these values, we get

∫ from 0 to 2π ∫ from 0 to 3 ∫ from 20 to 11+r^2 dz r dr dtheta

Evaluating the z integral, we get:

∫ from 0 to 2π ∫ from 0 to 3 (11+r^2-20) r dr dtheta

= ∫ from 0 to 2π ∫ from 0 to 3 (r^3-9r) dr dtheta

= ∫ from 0 to 2π [ (1/4) r^4 - (9/2) r^2 ] |_0^3 dtheta

= ∫ from 0 to 2π (81/4 - 81/2) dtheta

= -81π/2

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Answer: 1280 Kg

Step-by-step explanation:

The weight of the object given = 128 Kg

Time 1 = 10 hr

Time 2 = 1 hr

Cancel the hours,

128×10 = 1280 Kg

According to a population survey, there were 87.0 million males and 96.7 million females aged 25 years or older in a specific country. This answer will discuss the educational attainment of males and females based on the survey.

The survey revealed that there was a significant difference in the educational attainment between males and females in the country. Among the male population, a substantial proportion had achieved higher levels of education. Many males had completed college or university degrees, with a smaller percentage attaining advanced degrees such as master's or doctoral degrees. On the other hand, the survey indicated that a larger proportion of females had attained lower levels of education, such as completing high school or vocational training. However, it's important to note that the survey results may not reflect the entire population, as it only accounts for individuals aged 25 years or older.

Factors contributing to the disparity in educational attainment between males and females could include cultural and societal norms, historical biases, and gender inequalities that may limit access to education for women. These barriers can vary across different regions and countries. Efforts to bridge this educational gap have been made through policies and initiatives aimed at promoting gender equality in education, including campaigns to increase girls' enrollment and reduce gender-based discrimination in schools. While progress has been made in many places, further work is still needed to ensure equal educational opportunities for both genders, as education plays a crucial role in personal development, economic growth, and societal advancement.

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Charlie

Here, we want to check if polynomials is closed under subtraction or not

To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not

We have;

As we can see, both results are not equal

If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

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The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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The situation in which a function behaves differently over different parts of its domain is modeled by considering it to be a piecewise function.

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable

Such a situation can be explained through an example:

f(x) =   { x, for x > 0

        {     1, for x = 0

        { -x, for x < 0

now, when we take x value less than 0, say x= -1

   thus, f(x)= f(-1)= -(-1) = 1 , here we used f(x) given x<0

now, when we take x value more than 0, say x= 1

   thus, f(x)= f(1)= (1) = 1, here we used f(x) given x>0

now, when we take x =  0,

   thus, f(x)= f(0)= 1, here we used f(x) given x=0

this is how we model piecewise function, we  use f(x) as per the value of x. Following image shows plotted answer for this example.

Since inequalities given are exclusive of 0, we leave the dot at the origin unfilled. Now, for x = 0. Since the value is constant at f(x) =1, we pointed a point at (0,1)

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Answer:

Step-by-step explanation:

A kite is symmetrical about its vertical axis, so

if it is a kite, P is the reflection of  (b,0), so its coordinates are

(-b,0) by reflection about the y-axis.

The required answer is the predicted sales in this city would be $335.52 million.

a. The sample regression equation is:
Sales = 10.32 + 8.10(Population) + 7.55(Income)

b-1. The coefficient of population (8.10) represents the change in sales (in $1,000,000s) for every additional one million women over the age of 60. In other words, if the population of women over 60 increases by 1 million, the sales of Strong Bones will increase by $8.10 million.

The regression analysis is a set of statistical processes of the relationship is dependent variable and one or more independent variables .In this find the line and the most closely fits the data. This is widely used for the predication or forecasting.

b-2. The coefficient of income (7.55) represents the change in sales (in $1,000,000s) for every additional $1,000 increase in the average income of women over the age of 60. So, if the average income of women over 60 increases by $1,000, the sales of Strong Bones will increase by $7.55 million.
c. To predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000, substitute the given values into the regression equation:
Sales = 10.32 + 8.10(1) + 7.55(42)
Sales = 10.32 + 8.10 + 317.10
Sales = 335.52

The predicted sales in this city would be $335.52 million.

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Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.