Why is math very hard to answer​

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Answer: D

Step-by-step explanation:

Answer:

D. The last line plot

Step-by-step explanation:

It's easier to line up the heights in order.

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

Then one-by-one, plot each of the heights to the line plot.

The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

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Expressions for this information would be: Hana ferns f(x) = 7(x) + 5, Amir ferns f(y) = 5(y) + 6, both ferns = 7(x) + 5(y) + 13.

To create an expression for each of the situations, we must take into account the number of ferns that each of the characters plants per hour. Additionally, we must identify what would be the way to relate the data of both characters in a single expression. According to the above, the expressions would look like this:

In this expression, the x is multiplied by 7 because that is the number of plants you plant per hour; and the +5 represents the number of plants you planted the day before.

In this expression, the Y is multiplied by 5 because that is the number of plants you plant per hour; and the +6 represents the number of plants you planted the day before.

Finally, the expression that would represent both situations would be:

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The angle θ can be both 30 degrees and 210 degrees.

To understand how the angle θ can be both 30 degrees and 210 degrees, we need to consider the properties of the inverse cotangent function.

The cotangent function (cot) is defined as the ratio of the inverse cotangent function to the opposite side of a right triangle.

It is the reciprocal of the tangent function (tan).

The inverse cotangent function (cot⁻¹) is the inverse of the cotangent function.

It takes a ratio as input and returns the corresponding angle.

Let's break down the given expression:

θ = cot⁻¹ (√3)

The square root of 3 (√3) is approximately 1.732.

To find the angle θ, we need to find the ratio whose cotangent is equal to 1.732.

In other words, we need to find a right triangle where the adjacent side is equal to 1 and the opposite side is equal to 1.732.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (h):

h² = 1² + 1.732²

h² = 1 + 2.999824

h² ≈ 4.999824

h ≈ √4.999824

h ≈ 2.236

So, the hypotenuse is approximately 2.236.

Now, we can find the angle θ using the inverse cotangent function:

θ = cot⁻¹ (√3)

θ = cot⁻¹ (1.732)

Using a calculator or trigonometric tables, we find:

θ ≈ 30°

Therefore, one possible value for θ is 30 degrees.

However, the inverse cotangent function has a periodicity of 180 degrees.

That means for any angle θ, adding or subtracting 180 degrees will also satisfy the equation.

So, θ = 30° + 180° = 210° is also a valid solution.

Hence, the angle θ can be both 30 degrees and 210 degrees.

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You should buy 38 feet of wallpaper that cover the border for the top of the wall using the perimeter of the room. Thus, option C is correct.

Length of office = 10 feets

width of office  = 12 feets

Door length = 3 feet

Wall length = 10 feet

Window length = 3 feet

To estimate the length of the wallpaper border needed, we need to calculate the perimeter of the room that needs the bordering of wallpaper. It is given that only the top of the roof needs bordering.

We need to add the lengths of all 4 sides of the walls and subtract the lengths of the door and window.

Mathematically,

The perimeter of the room =(sum of the length of sides of the room) - (length of the window) - (length of the door)

Perimeter of room = (10 + 12 + 10 + 12) - 3 - 3

Perimeter of room = 38 ft

Therefore, we can conclude that we need to buy 38 feet of the wallpaper border.

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When testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01.

This is because the alpha value represents the maximum level of probability that we are willing to accept for making a Type I error (rejecting the null hypothesis when it is actually true).

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Based on the fact that the problem to be modeled is about finding the number of nurses on duty using ratios, then it can be modeled by A) making a tape diagram.

This is a diagram that is used in mathematical calculations to visually support the calculations that a person is making.

They can be drawn such that they will have 15 cells to represent all the people working on duty. Then the proportion of doctors to nurses can be used to shade in the cells that would represent the number of people who are nurses.

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Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

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The missing value if the point is a direct variation is -15

From the question, we have the following ordered pairs

(2, -6) and (5, y)

These ordered pairs are direct variation

A direct variation is represented as

k = y/x

This means that

y/5 = -6/2

Evaluate the quotient

y/5 = -3

Multiply both sides by 5

y = -15

Hence, the value of y is -15

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Answer:

Perpendicular: \(y = \frac{5}{8}x+4\)

Parallel: \(y=-\frac{8}{5} x+RandomNumberNot4\)

Step-by-step explanation:

I'm going to rewrite the equation:

\(y=-\frac{8}{5} x+\frac{4}{5}\)

Perpendicular means that the slope is the opposite reciprocal.

Slope = \(\frac{5}{8}\)

\(y = \frac{5}{8}x+4\)

Parallel means that the slope is the same but the y - intercept is different:

\(y=-\frac{8}{5} x+RandomNumberNot4\)

Answer:

The slope is \(\frac{3}{5}\) because if you do the rise over run method, it goes up 3 times and right 5 times, therefor being \(\frac{3}{5}\).

The new probability of finding oil is 0.31 + 0.50 = 0.81.

a) The probability of finding oil is 0.50 + 0.20 = 0.70.

b) After 200 feet of drilling, the firm took a soil test. The probabilities of finding the particular type of soil identified by the test are: P(soil | high-quality oil) = 0.20, P(soil | medium-quality oil) = 0.80 and P(soil | no oil) = 0.20.

Using Bayes' theorem, the revised probabilities can be calculated as follows:

P(A1∩S)= P(A1).P(S|A1) = 0.50 * 0.20 = 0.10

P(A2∩S)= P(A2).P(S|A2) = 0.20 * 0.80 = 0.16

P(A3∩S)= P(A3).P(S|A3) = 0.30 * 0.20 = 0.06

P(S)=P(A1∩S)+P(A2∩S)+P(A3∩S) = 0.10 + 0.16 + 0.06 = 0.32

Then, the revised probabilities can be calculated as follows:

P(A1|S)= P(A1∩S) / P(S) = 0.10 / 0.32 = 0.31

P(A2|S)= P(A2∩S) / P(S) = 0.16 / 0.32 = 0.50

P(A3|S)= P(A3∩S) / P(S) = 0.06 / 0.32 = 0.19

Hence, the firm should interpret the soil test as follows: the revised probability of finding high-quality oil is 0.31, the revised probability of finding medium-quality oil is 0.50, and the revised probability of finding no oil is 0.19. The new probability of finding oil is 0.31 + 0.50 = 0.81.

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Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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Rounding to three decimal places, the 95% confidence interval for the population proportion of times that the bats would follow the point is (0.565, 1.035).

To find the 95% confidence interval for the population proportion, we can use the formula for calculating confidence intervals for proportions:

Confidence Interval = Sample Proportion ± Margin of Error

The sample proportion is the number of successes (bats going to the correct feeder) divided by the sample size (total number of trials). In this case, the sample proportion is 8/10, which simplifies to 0.8.

The margin of error depends on the desired level of confidence. For a 95% confidence interval, the critical value is 1.96.

Margin of Error = Critical Value * Standard Error

The standard error is calculated as the square root of [(sample proportion * (1 - sample proportion)) / sample size]. In this case, it is sqrt[(0.8 * (1 - 0.8)) / 10], which simplifies to 0.12.

Now we can plug in the values:

Confidence Interval = 0.8 ± (1.96 * 0.12)

Calculating the confidence interval:

Confidence Interval = 0.8 ± 0.2352

Simplifying the interval:

Confidence Interval = (0.5648, 1.0352)

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Answer:

226.2 in³ and 452.4 in³

Step-by-step explanation:

Volume of original shape:

Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³

Volume with same radius but double the height:

Volume = base area x height
Volume =  πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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The absolute value function that matches the graph is given as follows:

y = |x|

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The vertex of the function in this problem is at the origin, hence:

(h,k) = (0,0).

The leading coefficient is of a = 1, as when x = 1, y = 1.

Hence the absolute value function that matches the graph is given as follows:

y = |x|

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Answer:

56 hours

Step-by-step explanation:

Divide:

   $784

-------------- = 56 hrs

($14/hr)

She babysat for 56 hours to earn that $784.

Answer:

B or A i think correct me if im wrong i like to learn from my mistakes =)

Answer:

the answer is C

The sailor must sail approximately 102.4 km and 58.9° west of due north to reach the original destination. we have used the Pythagorean theorem

To determine the distance and direction the sailor must sail to reach the original destination, we can use the concept of vector addition.

The initial displacement of the sailor is a combination of a northward displacement of 95.0 km and an eastward displacement of 35.0 km. To find the resultant displacement, we can use the Pythagorean theorem:

Resultant displacement = √((northward displacement)^2 + (eastward displacement)^2)

                   = √((95.0 km)^2 + (35.0 km)^2)

                   ≈ 102.4 km

The direction of the resultant displacement can be found using trigonometric functions. We can use the inverse tangent function to find the angle:

θ = tan^(-1)((eastward displacement) / (northward displacement))

  = tan^(-1)(35.0 km / 95.0 km)

  ≈ 20.9°

However, since we are asked to find the direction west of due north, we need to subtract this angle from 90°:

Direction = 90° - 20.9°

           ≈ 69.1°

Therefore, the sailor must sail approximately 102.4 km and 58.9° west of due north to reach the original destination.

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Answer:

Step-by-step explanation:

From the question,  since it will take 90 days that is 3 months for her hourly pay to increase to $8 per hour

we proceed to calculate her pay for the first 3 months

she works a total of 32 hours in a week

hence for three months, she would work 32*4*3= 384hours

therefore her pay for three months is= 7.5*384= $2880

Now the remaining one month her pay rate has been increased to $8 per hour

the number of hours in one month is 32*4= 128 hours

her pay would be 128*8= $1024

Her straight time pay for 4months is $2880+$1024 = $3904

Answer:c

Step-by-step explanation:

Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.

In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.

If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.

Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.

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