NEED HELP ASAP ON THIS

Answer:

The degree of the function is;

Explanation:

From the given graph, we can observe that the function has two extremum (one minima and one maxima).

The degree of the function will be the number of extremum plus 1;

Since there are two extremum on the graph then;

Therefore, the degree of the function is;

1. The area of the Earth's surface covered in water is approximately 0.71 * 201,061,929 = 142,550,781 square miles.

2. Approximately 1.76% of the Earth's surface lies in the United States.

3. The volume of the entire Earth is approximately 268,082,573,106 cubic miles.

To answer Alonzo's questions, let's calculate the required values using the given information:

1. The area of the Earth's surface that is covered in water:

The Earth's surface area can be calculated using the formula for the surface area of a sphere: 4πr^2. Given that the radius of the Earth is approximately 4,000 miles, we have:

Surface area of the Earth = 4π(4,000)^2 = 4π(16,000,000) ≈ 201,061,929 square miles.

Alonzo can research and find that about 71% of the Earth's surface is covered in water. Thus, the area of the Earth's surface covered in water is approximately 0.71 * 201,061,929 = 142,550,781 square miles.

2. The percent of the Earth's surface that lies in the United States:

The land area of the United States is approximately 3,537,438 square miles. To calculate the percentage, we divide the land area of the United States by the total surface area of the Earth and multiply by 100:

Percentage = (3,537,438 / 201,061,929) * 100 ≈ 1.76%.

Therefore, approximately 1.76% of the Earth's surface lies in the United States.

3. The volume of the entire Earth:

The volume of a sphere can be calculated using the formula: (4/3)πr^3. Substituting the radius of the Earth, we have:

Volume of the Earth = (4/3)π(4,000)^3 = (4/3)π(64,000,000,000) ≈ 268,082,573,106 cubic miles.

Thus, the volume of the entire Earth is approximately 268,082,573,106 cubic miles.

These calculations provide Alonzo with the approximate values he needs regarding the Earth's surface area covered in water, the percentage of the Earth's surface within the United States, and the volume of the entire Earth.

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Answer:

25, 0, -12.5

Step-by-step explanation:

See attached

Rate of change is:

Interval 0 - 1 min

Interval 1 - 2 min

Interval 2- 5 min

Answer:

12

Step-by-step explanation:

( J , Q, K 4 each)

so prob that for 2 cards, both cards are face

= C(12,2)/C(52,2) = 66/1326 = 11/221

Answers:

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

Explanation:

The formula we use for "or" cases is

P(A or B) = P(A) + P(B) - P(A and B)

If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.

-----------

For "and" cases, we have two basic flavors

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

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

We go with the first case for problem 2. These formulas apply if A and B are not independent.

If they are independent, then

P(A and B) = P(A)*P(B)

-----------

Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).

You'll end up with

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

which is a conditional probability.

Answer:

4^(-14)

Step-by-step explanation:

When multiplying or dividing powers of the same number, you can just add or subtract the powers.

Answer:

\(a.\ \frac{5}{36}\\b.\ \frac{1}{12}\\c.\ \frac{2}{9}\\d.\ $Not mutually exclusive$\)

Step-by-step explanation:

Given two fair dice are rolled, one green and one red.

To find:

a. Probability of getting a sum of 8.

b. Probability of getting a sum of 4.

c. Probability of getting a sum of 8 or 4.

d. Are these outcomes mutually exclusive?

Solution:

First of all, let us have a look at the output of roll of two dice.

There are a total of 36 outcomes.

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)}

a. Getting a sum equal to 8, we have following outcomes:

{(2, 6), (3,5), (4, 4), (5,3), (6, 2)}

5 possible outcomes for this event.

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

\(P($Getting 8$) = \dfrac{5}{36}\)

b. Getting a sum equal to 4, we have following outcomes:

{(1, 3), (2,2), (3, 1)}

3 possible outcomes for this event.

Formula for probability of an event E can be observed as:

\(P($Getting 4$) = \dfrac{3}{36} = \dfrac{1}{12}\)

c. Probability of getting a sum of 8 or 4?

Following possible outcomes are there:

{(2, 6), (3,5), (4, 4), (5,3), (6, 2), (1, 3), (2,2), (3, 1)}

Total 8 possible outcomes:

\(P($Getting 8 or 4$) = \dfrac{8}{36} = \dfrac{2}{9}\)

d. Are these outcomes mutually exclusive?

These events are not mutually exclusive because they contain the similar outcome from both of the dice.

i.e. (4, 4) and (2, 2)

The linear regression equation is y = -5x + 21

The points are given as:

(-5,14), (1,-16)

The equation is then calculated using:

\(y = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1\)

This gives

\(y = \frac{14 + 16}{-5 - 1} * (x - 1) + 16\)

Evaluate

y = -5 (x - 1) + 16

Expand

y = -5x + 5 + 16

Evaluate the sum

y = -5x + 21

Hence, the linear regression equation is y = -5x + 21

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The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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Answer:

Alonzo ate 1/2 more than Mitra.

Step-by-step explanation:

In this question, you are supposed to find how much more Alonzo ate. We solve that like this:

Steps:

   - Set up the Equation:

       - 1/4 + ? = 3/4

       - The question mark represents the answer.

   - Inverse Operations:

       - Change 1/4 + ? = 3/4 to 3/4 - 1/4 = ?

       - Since Subtraction is the opposite of Addition, we flip the equation.

   - Solve:

       - \(\frac{3}4} -\frac{1}{4} =\frac{2}{4}\)

       - Then Simplify:

       - \(\frac{2}{4} =\frac{1}{2}\)

So, Alonzo ate 1/2 more than Mitra, or C.

Hope this helps! Good luck!

The distance between the given 2 points is √5 which is 2.2360 units.

So, the distance formula:  d = √((x₂ – x₁)² + (y₂ – y₁)²)

Substitute values in the distance formula as follows:

Therefore, the distance between the given 2 points is √5 which is 2.2360 units.

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Answer:

Time = 82. 9 mins

Step-by-step explanation:

Given the following data;

Distance = 3.2 miles

Time = 2.4 hours to minutes = 2.4 * 60 = 144 mins

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

\(Speed = \frac{distance}{time}\)

Substituting into the equation, we have;

\(Speed = \frac{3.2}{144}\)  

Speed = 0.0222 miles/min

Now, to find the time to walk 1.84 miles;

\(Time = \frac{distance}{speed}\)

\(Time = \frac{1.84}{0.0222}\)

Time = 82.9 mins (to 1 decimal point).

Method II

Let the new time = x

3.2 miles = 2.4 hours

1.84 miles = x hours

Cross-multiplying, we have;

3.2x = 2.4 * 1.84

3.2x = 4.416

x = 4.416/3.2

x = 1.38 hours

Now, we would convert the hours to minutes;

x = 1.38 * 60

x = 82.8 mins.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer: 4000000 cubic millimeters

Step-by-step explanation:

The answer of your question is 4000ml

Answer:

-1

Explanation:

Let the number be x.

Then the equation will be:

3(x+18) = 51

=> 3x + 54 = 51

=> 3x = 51 - 54

=> 3x = -3

=> x = -3/3

=> x = -1

So, the number you thought of is -1.

Answer:

The number is 3.

Step-by-step explanation:

\(3(14+x)=51\\42+3x=51\\3x=9\\x=3\)

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

3:7 or 3/7

Step-by-step explanation:

if it helps don't forget to like and mark me

Work Shown:

Area = (side length)^2

Area = (y+2)^2

Area = (y+2)(y+2)

Area = y^2 + 2y + 2y + 4

Area = y^2 + 4y + 4

The minimum floor space for 86 students required is 774ft²

Square feet: To find square feet, multiply the length measurement in feet by the width measurement in feet. This yields a product called the area, which is expressed in square feet (or square inches if you are calculating a much smaller space, such as a dollhouse).

given in the question that, a human factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student in the class

so we get that,

9ft²=1student

xft²=86student

Cross multiply them, then we get

9ft²x86students=1studentx (xft²)

1x=774ft²

divide both sides by 1

x=774ft²

that means the minimum floor space for 86 students required is 774ft²

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This test cannot be considered as a highly reliable tool for measuring the fitness level.

Cronbach's alpha coefficient (α) is an assessment tool that measures the internal reliability of a psychometric test's multiple item data set. This measure's internal consistency indicates the degree to which items in a set are related to each other or to a latent (unobserved) variable called a construct. Alpha is a measure of the extent to which a set of items, when measured as a composite, generates scores that are both reliable and valid.This formula is used to calculate Cronbach's alpha coefficient, which ranges from 0 to 1, with higher values indicating greater internal consistency or reliability.
Cronbach's alpha (α) for the fitness measure is calculated by formula, given as:
\(α = N / (N - 1) * (1 - Σi=1k σi^2 / σx^2)\)
where
N = number of items
\(σi^2\) = variance of the ith item
\(σx^2\) = variance of the test scores
k = number of items in the test
Here, the total number of valid data points N = 5.
Variance for trial 1, trial 2, trial 3 and total are given as 2.300, 2.000, 3.800, and 11.500 respectively.
We will now solve for Cronbach's alpha coefficient (α) using the above formula.
\(α = 5 / (5 - 1) * (1 - [(2.300 + 2.000 + 3.800) / 11.500])α = 5 / 4 * (1 - [8.1 / 11.5])α = 0.638\)
Cronbach's alpha coefficient ac for this test is 0.638.
This coefficient is a measure of the extent to which the tests are reliable and consistent in measuring the same construct. Since Cronbach's alpha coefficient is in between 0.6 and 0.7, it indicates that the internal consistency of this test is moderate.

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

C

Step-by-step explanation:

9x-4+5x+16=180

14x+12=180

14x=168

x=12

Answer:

  C)  12

Step-by-step explanation:

Consecutive interior angles are supplementary:

  (9x -4)° +(5x +16)° = 180°

  14x = 168 . . . . . . divide by °, subtract 12

  x = 12 . . . . . . . . divide by 14

Answer:

r=8

Step-by-step explanation:

56=7r

first I simplified the equation to the form, which is simple to understand

56=7r

Then I move all terms containing r to the left and all other terms to the right.

-7r=-56

Next I simplified the left and right the side of the equation.

-7r=-56

Then i divided both sides of the equation by -07 to get r.

r=8

Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Answer:

\(3(-4a-3)(2a-1)\)

Step-by-step explanation:

\(-24a^2-6a+9\)

\((-12a-9)(2a-1)\)

\(3(-4a-3)(2a-1)\)

Answer:

−3(2a−1)(4a+3)

Step-by-step explanation:

9 - 6a - 24a^2

24a²-6a-9=

−3(2a−1)(4a+3)

We get this because −3(2a−1)(4a+3) equals out to 24a²-6a-9. If you need more explanation, reply to this answer.

Answer:

582.6

Step-by-step explanation:

2/3 x 874 = 582.6