50 points
How much longer is the longest wingspan than the shortest wingspan
that Pam recorded? *
On a school trip to the city museum, the students were asked to record the lengths of
wingspans of different species of butterflies. The line plot shows the wingspans of five
species, in inches, that Pam recorded in her notebook.
х
AXX
х
+
2
3
4
4
Wingspan (in inches)
AINEX
x mis
0
1
4/4 inch
3/4 inch
2/4 inch
1/4 inch

Answer:

see explanation

Step-by-step explanation:

sinG = \(\frac{opposite}{hypotenuse}\) = \(\frac{HI}{GI}\) = \(\frac{2}{2\sqrt{2} }\) = \(\frac{1}{\sqrt{2} }\) = \(\frac{\sqrt{2} }{2}\)

cosG = \(\frac{adjacent}{hypotenuse}\) = \(\frac{GH}{GI}\) = \(\frac{2}{2\sqrt{2} }\) = \(\frac{1}{\sqrt{\sqrt{2} } }\) = \(\frac{\sqrt{\sqrt{2} } }{2}\)

tanG = \(\frac{opposite}{adjacent}\) = \(\frac{2}{2}\) = 1

Answer:

6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

1/2×3/5×4

=12/10

divide by 2.

=6/5.

i didn’t realize u were chill like that

Answer:

D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.

Step-by-step explanation:

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

I believe it is: P(F|B) = 0.51; given that the student prefers brand B, there is a 0.51 probability that their strongest stroke is freestyle.

Step-by-step explanation:

26/51=0.509

Round up to 0.51

The conditional order P(A|B) means that given that A is occurring, what's the probability that B occurs. Thus giving me answer A. Given that B is the preferred brand, what's the probability of freestyle being the strongest stroke. 0.51

P(F|B) = 0.51 Given that the student prefers brand B, there is a 0.51 probability that their strongest stroke is freestyle.

In order to create scientific investigations, sample surveys, medical clinical trials, and environmental research, applied statistics uses mathematical principles and techniques. In many businesses, analysis and forecasting are made possible by the application of mathematical models of variation.

In this problem, there are two different values of P(F|B) 0.51 and 0.58 as per the option given below. we will solve both and find the most preferable. Since the Strongest stroke is directly proportional to the P(F|B) so the value of stoke when P(F|B) is 0.58 will be lesser than the value of stoke at 0.51. Hence we will solve this for 0.51

26/51=0.509

Round up to 0.51

Therefore, The conditional order P(A|B) means that given that A is occurring. Thus giving me answer A. Given that B is the preferred brand. the probability of freestyle being the strongest stroke is 0.51.

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Answer:

Step-by-step explanation:

Option D is the correct answer

8 + D = 43

Answer:

The last one

Step-by-step explanation:

8 - (-d) = 43 is the same as 8 + d = 43

The formula to calculate the volume of a rectangular prism is length × width × height.

To find the length of one side of the cube, we can use the formula for the surface area of a cube.

Step 1: Determine the number of faces on a cube.

A cube has six faces.

Step 2: Calculate the area of one face of the cube.

The total surface area of the cube is given as 150 cm². Since there are six faces, the area of one face can be found by dividing the total surface area by the number of faces:

Area of one face = Total surface area / Number of faces

Area of one face = 150 cm² / 6 = 25 cm²

Step 3: Calculate the length of one edge of the cube.

The area of one face of the cube is equal to the length of one edge squared. Therefore, we can find the length of one edge by taking the square root of the area of one face:

Length of one edge = √(Area of one face)

Length of one edge = √(25 cm²) = 5 cm

Thus, the length of one side of the cube is 5 cm.

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Step-by-step explanation:

answer criss-cross and divide by 5/8

Answer:

47.13

Step-by-step explanation:

Answer:

mm99

Step-by-step explanation:

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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Answer:

Answer would be 12

Step-by-step explanation:

i'm not always accurate but your welcome!

Answer:

The number of times a variable appears in a date set is called a constant.

Answer:

The correct answer would be, A. y= 25-2

Step-by-step explanation:

A. is correct because B,C,D are all equal to the same thing. When you solve  the problems and get the variables by them self you can see that they equal the same thing. So therefore A. is the correct/incorrect option.

Answer:

$9

Step-by-step explanation:

(2 movies returned late)

3 days late

$1.50 per day late fee

equaling $4.50 per movie

TOTALING $9

TOTALING $9.00

Answer:

Step-by-step explanation:

Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.

The amount to be paid:

Correct choice is B

Answer:

chance of winning $100 = 1/1000

chance of winning $50 = 5/1000 = 1/200

cost of ticket = -1

E[x] = 100* 1/1000 + 50* 1/200 -1

= 0.1 + 0.25 - 1 = -0.65

Step-by-step explanation:

hope this helps

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

<

Step-by-step explanation:

If you add negitives you get a negitive and a plus a positive you get positive positives are bigger than negitives  

Answer:

sorry bro i really need the points

Step-by-step explanation:

sorry big dawg

The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is a) 80%. The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is 100%.

R2, also known as the coefficient of determination, is a statistical measure that represents the proportion of variance in one variable that is explained by another variable in a linear regression model. It ranges from 0% to 100%, where a higher value indicates a stronger linear relationship between the variables.

It is important to note that R2 alone should not be used as the sole determinant of a strong linear relationship between variables. Other factors, such as the sample size, the strength of the correlation coefficient, and the presence of outliers, should also be considered. Additionally, R2 can be affected by the inclusion or exclusion of variables in the model and the overall goodness of fit of the regression equation. Therefore, it is recommended to use multiple methods of analysis and evaluation when examining the relationship between two quantitative variables.

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Answer:

3.8 inches

Step-by-step explanation:

y = 0.2x + 2  Substitute in 9 for x

y = 0.2(9) + 2

y = 1.8 + 2

y = 3.8

Answer:

180

Step-by-step explanation:

6 different letters.

we need to pick groups of 4.

no repetitions, but the sequence matters (code words), as e.g. RAGE is different to GEAR, although they contain the same letters.

so, we need basic permutations (instead of combinations) :

P(6, 4) = 6! / (6 - 4)! = 6! / 2! = 6×5×4×3 = 360

that is simply because regularly we would have 6 choices for the first letter, then 5 for the second, 4 for the third, and 2 for the fourth letter.

the second to the last letter is the second letter from the left in a 4-letter word.

so, we have 3 vowels for that second position.

normally, such a restriction would mean

6×3×4×3 = 216 possibilities.

but we have to distinguish the 2 cases that we pick a vowel for the first position - or not.

if not, we have 3 consonants for the first, 3 vowels for the second position as options.

if yes, we have 3 vowels for the first and 2 vowels for the second position.

that means we get

3×3×4×3 + 3×2×4×3 = 108 + 72 = 180

possibilities.

this makes also sense, when we simply say that this restriction eliminates half of our possible permutations (all with a consonant in the second position) : 360/2 = 180.

\(6x + y = 10 \\ y = 10 - 6x \\ y = 10 - 6x,x∈ℝ\)

Answer:

y = 10 - 6x

Step-by-step explanation:

6x + y = 10

=> y = 10 - 6x

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:

Enterprises usually adopt some quality practices to control the product quality during the manufacturing process in order to assure the delivery of qualitative good products to customers. The quality practices or quality management systems adopted by industries will further evolve due to the changes of quality concepts as time goes by. This chapter discusses the change of quality concepts and the related revolution of quality management systems in the past century. The quality concepts were gradually changed from the achievement of quality standards, satisfaction of customer needs, and expectations to customer delight. Since merely satisfying customers is not enough to ensure customer loyalty, the enterprises gradually focus on customers’ emotional responses and their delight in order to pursue their loyalty. The emotion of “delight” is composed of “joy” and “surprise,” which can be achieved as the customers’ latent requirements are satisfied. Thus, the concept of “customer delight” and the means to provide the innovative quality so as to meet the unsatisfied customers’ latent needs are elaborated on. Finally, a framework of innovation creation is developed that is based on the mining of customer's latent requirements. This outline will manifest the essential elements of the related operation steps.

The angle of refraction for the ray of light entering the bucket of water ≈ 48.8 degrees.

To determine the angle of refraction for a ray of light that enters a bucket of water from air, we can use Snell's law, which relates the indices of refraction and the angles of incidence and refraction.

Snell's law states:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where:

n₁ = index of refraction of the medium the light is coming from (air)

n₂ = index of refraction of the medium the light is entering (water)

θ₁ = angle of incidence

θ₂ = angle of refraction

n₁ (air) = 1.000293

n₂ (water) = 1.333

θ₁ (angle of incidence) = 25.0 degrees

To find the angle of refraction (θ₂), we need to rearrange Snell's law:

sin(θ₂) = (n₁ / n₂) * sin(θ₁)

Now we can substitute the given values into the equation and calculate the angle of refraction:

sin(θ₂) = (1.000293 / 1.333) * sin(25.0 degrees)

Using a calculator:

sin(θ₂) ≈ 0.7505

To find θ₂, we take the inverse sine (arcsine) of 0.7505:

θ₂ ≈ arcsin(0.7505) ≈ 48.8 degrees

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