How can we determine whether equation are equivalent

Answer:

The answer would be 60 first of all.

Step-by-step explanation:

Ok, this would be an Scalene triangle.

Answer:

Looks like a scalene triangle.

Step-by-step explanation:

If angle C is 70°, angle B2 is 60° Then angle D will be 50°. So it’s a Scalene triangle.

Answer:100 grams of A mixed with 80 grams of B will provide the daily diet for a single animal.

Step-by-step explanation:

Step 1

The requirement for each animal is given as 50g of protein  and 12g of fat

let mix A  be represent as   containing  0.10A protein and 0.08A fat

and mix B be represented as containing 0.5B protein and 0.05B  fat

Therefore for Protein , we have   0.10A + 0.5B= 50----- Equation 1

And for fat , we have   0.08A + 0.05B= 12-------Equation 2

Step 2-- Solving

0.10A + 0.5B= 50----- Equation 1

0.08A + 0.05B= 12-------Equation 2

multiplying equation 1 by 10 and equation 2 by 100 we have

1A+ 5B=500-------Equation 3

8A+ 5B= 1200-------Equation 4

Subtracting equation 3 from equation 4

7A= 700

A = 700/7= 100

Puting value of A = 100 IN  EQUATION 3

1(100) + 5B= 500

5B= 500-100

B=400/5= 80

Therefore 100 grams of A mixed with 80 grams of B will provide the daily diet for a single animal.

Answer:

336

Step-by-step explanation:

They can place 1 of 8 frags on the bottom.

Now they have 7 flags left.

They can place 1 of 7 flags in the middle.

Now they have 6 flags left.

The can place 1 of 6 flags on top.

8 × 7 × 6 = 336

Answer:

4(20+3)

Step-by-step explanation:

you can just add 20+3 to make the (23) part of the equation it's very simple dont make it complicated luv

Answer:

5.25

Step-by-step explanation:

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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Answer:

28.4 :) hope this helps!!!!!!!

Step-by-step explanation:

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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Answer:

49453757

Step-by-step explanation:

Answer:

49453757

Step-by-step explanation:

Dont forget to rate and thanks!

None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

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The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14

We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.

Let us expand the equation to get;

4x - 32 + y = 9x - 18

Isolate y to get;

y = 9x - 4x - 18 + 32

y = 5x + 14

Thus;

Slope = 5

y - intercept = 14

x - intercept = -2.8

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The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

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Answer:

The first step is adding two to both sides to further isolate the variable.

Step-by-step explanation:

You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.

Answer:

Step-by-step explanation:

m/5 -2=8 I would first add 2 to both sides

m/5=10 Then multiply both sides by 5 to clear out the fraction.

m=50

Answer:

P lies on perpendicular bisector

P lies on perpendicular bisector

P lies on the angle bisector

In all three cases we have sufficient information

Answer:

\( \sf \: x = 20\)

Step-by-step explanation:

Given equation,

→ x - 18 = 2

Now the value of x will be,

→ x - 18 = 2

→ x = 2 + 18

→ [ x = 20 ]

Hence, the value of x is 20.

The required answer is the solid D1 in spherical coordinates is defined by: - sqrt(3) ≤ ρ ≤ sqrt(7) - 0 ≤ θ ≤ π/2 - 0 ≤ φ ≤ π/2

To express the solid D1 in spherical coordinates, we need to first understand the given conditions and the equations of the spheres.

D1 is in the octant where x≥0, y≤0, and z≥0. The two spheres have the equations x^2+y^2+z^2=3 and x^2+y^2+z^2=7.

Now, let's convert these equations into spherical coordinates. Recall that the spherical coordinates (ρ, θ, φ) are related to the Cartesian coordinates (x, y, z) as follows:

x = ρ * sin(φ) * cos(θ)
y = ρ * sin(φ) * sin(θ)
z = ρ * cos(φ)

Since x^2+y^2+z^2=ρ^2, the given spheres can be represented in spherical coordinates as:

1. ρ^2 = 3, so ρ = sqrt(3)
2. ρ^2 = 7, so ρ = sqrt(7)
A spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuthal angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.

Now, we need to determine the range for θ and φ that corresponds to the specified octant. Since x≥0, y≤0, and z≥0, we have the following constraints on the angles:

- 0 ≤ θ ≤ π/2 (due to x≥0 and y≤0)
- 0 ≤ φ ≤ π/2 (due to z≥0)

So, the solid D1 in spherical coordinates is defined by:

- sqrt(3) ≤ ρ ≤ sqrt(7)
- 0 ≤ θ ≤ π/2
- 0 ≤ φ ≤ π/2

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Answer:

Step-by-step explanation:

y=10

Answer:

Big fella

Step-by-step explanation:

100-4 x m

Answer:

The answer is 11/2 or if you want it simplified its 5 1/2.

Step-by-step explanation:

11/ 4 ÷ 1/2 = 11/4 x 2/1 = 11x2 x 4x1= 22/4=22 divided by 2 = 4 x 1 + 4 divided by 2 = 11/2 = 5 1/2. So 5 1/2 is your answer.  

The total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.

To find the number of hands that contain exactly two 3s and two 6s when 5 cards are randomly chosen from a standard deck of playing cards, we can use combinatorics.

First, we need to choose the two 3s from the four 3s in the deck. This can be done in (4 choose 2) = 6 ways.

Next, we need to choose the two 6s from the four 6s in the deck. This can also be done in (4 choose 2) = 6 ways.

After selecting the 3s and 6s, we have one remaining card to choose from the remaining 44 cards in the deck.

Thus, the total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.

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Explanation:

You can use a calculator or a Z table here. I'll go with the table option.

Using a Z table, you should find that P(Z < -1.96) = 0.0250

So the remaining area must be 1 - 0.0250 = 0.9750 which represents P(Z > -1.96). This is the same as P(X > -1.96) because X is distributed identical to the Z distribution (mean = 0, std dev = 1).

If you go the calculator route, then it depends on which calculator or computer software you use. If you prefer this route, then let me know which calculator you're using and I'll try to find the correct input to type in for that calculator.

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

A triangle is a three-edged polygon with three vertices. The length of a side of the regular hexagon is √24 inches.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

Given the perimeter of the equilateral triangle is 36 inches, therefore, the length of the side of the equilateral triangle is 12 inches. Now, the area of the equilateral triangle is,

Area of the equilateral triangle = (√3)/4 a²

                                                   = (√3)/4 × (12)²

                                                   = (36√3) inches²

Since the area of the equilateral triangle is equal to the area of the hexagon , therefore we can write,

Area of equilateral triangle = Area of Hexagon

(36√3) = (3√3)/2× a²

a² = 24

a = √24 inches

Hence, the length of a side of the regular hexagon is √24 inches.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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To determine the measure of ∠o, additional information is needed. The given information about the measures of ∠2 (137 degrees) and ∠p (58 degrees) does not provide enough details to directly calculate the measure of ∠o.

In order to find the measure of ∠o, we need additional information about the angles in the given scenario. The measures of angles ∠2 and ∠p (137 degrees and 58 degrees, respectively) are provided, but there is no specific information about the relationship between these angles or any other angles in the diagram.

Without knowing the specific geometric properties or relationships among the angles, it is not possible to determine the measure of ∠o. To find the measure of ∠o, additional information, such as the properties of the angles or the nature of the geometric figure, is required.

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Answer:

32% goes to 30%. 22% goes to 20%. 74% goes to 70%. 51% goes to 1/2.

Step-by-step explanation:

Just treat is as rounding. When you round, 32 goes to 30 because the 2 is 4 or less. 22 and 74 each respectively round to 20 and 70. 1/2 is equal to 50%. And 51% rounds to 50%, or 1/2.

The correct value of the percent on the left with the appropriate estimate on the right is,

32% - 30%

22% - 20%

74% - 70%

51% - 1/2

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To match the percent on the left with the appropriate estimate on the right.

Now, We can simplify as;

32% = 0.32

22% = 0.22

74% = 0.74

51% = 0.51

20% = 0.20

70% = 0.70

1/2 = 0.5

30% = 0.3

Thus, The correct value of the percent on the left with the appropriate estimate on the right is,

32% - 30%

22% - 20%

74% - 70%

51% - 1/2

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Answer:

19.87301587

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, so you would use PEMDAS, which is the correct order in which you would need to solve an equation. The idea is that the operations that come first would have to be solved first.

If you don't know it, PEMDAS is:

Parentheses

Exponents

Multiplication/division

Addition/subtraction

In this case, you would need to solve the parentheses. (7x9) is 63.

It would be rewritten as 4x5-8/63

There are no exponents, so you can skip the next operation.

Then you would do multiplication next, which would be 4x5 = 20

The equation would be rewritten as 20-8/63

-0.126984127 is -8/63

Lastly, 19.8730159 is the result of 20-0.126984127

Hope this helps!