Given the following two side lengths of a triangle, what is the largest whole number length
possible
for the third side?
13 and 28

Because it permits one to assume that the sampling distribution of the mean would typically be normally distributed, the central limit theorem is helpful when examining big data sets. This makes statistical analysis and inference simpler.

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

To learn more about hypothesis visit: brainly.com/question/29519577

#SPJ4

The given function `void f(int *p, int *q) { p = q; *p = 1; }` takes two integer pointers as arguments and does the following: - Assigns the value of `q` to `p`. - De references the pointer `p` and assigns the value of 1 to it.

Now, let's say `i = 2` and `j = 0`. After calling `f(&i, &j)`, the values of `i` and `j` will be as follows: Initially, `p` will point to the memory address of `i`, and `q` will point to the memory address of `j`. Then, `p` will be assigned the value of `q`. This means that `p` will now point to the memory address of `j`, and `q` will still point to the memory address of `j`.Therefore, when the statement `*p = 1;` is executed, the value of `j` (because `p` now points to `j`) will be updated to 1. So, after calling `f(&i, &j)`, the value of `i` will remain 2, and the value of `j` will become 1. Hence, the final values of `i` and `j` will be i = 2 and j = 1.

Learn more about function

https://brainly.com/question/30721594

#SPJ11

The 95% confidence interval for the amount of time spent on personal issues is (4.805, 4.95).

Mean time that employees spend on personal issues each week(M) = 4.9 hours

Standard deviation = 0.35 hours

The following formula is used to get the confidence interval for the sample mean and standard deviation given:

μ = M ± t(sM)

where; M = sample mean

t = T-statistic based on confidence interval

Degree of freedom = n - 1

From the question, n = 55

Degree of freedom = 55 - 1

Degree of freedom = 54

(Standard errors)sM = √(s^2/n)

Now putting the value

sM = √(0.352/55)

sM = 0.05

t = 2.005 This is determined using the Excel formula =T.INV.2T at a confidence level of 0.95 and a degree of freedom of 55-1=54. (0.05,54)

Now the confidence interval

μ = M ± t(sM)

μ = 4.9 ± 2.005 × 0.05

μ = 4.9 ± 0.095

μ = (4.9 - 0.095, 4.9 + 0.095)

μ = (4.805, 4.95)

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

Answer:

1638

Step-by-step explanation:

The maximum value of the sine function is 1, the angle corresponding to sin^(-1)(1) is π/2 or 90 degrees.

The principal value of sin^(-1)(1) is π/2 or 90 degrees.

The function sin^(-1)(x), also known as arcsin(x) or inverse sine, represents the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is 1.

Since the sine function oscillates between -1 and 1, the angle corresponding to sin^(-1)(1) is the maximum value where the sine is equal to 1.

This occurs at π/2 or 90 degrees, making it the principal value for sin^(-1)(1).

for such more question on maximum value

https://brainly.com/question/7352919

#SPJ8

As per Chebyshev's theorem, for any data set, at least (1 - 1/k^2) fraction of the data values will lie within k standard deviations of the mean, where k is any positive number greater than 1.

Using Chebyshev's theorem, we can determine the percentage of the population values between 51 and 91 for this question:

k = (91 - 71)/10 = 2

So, at least (1 - 1/2^2) = 75% of the population values will lie between 51 and 91.

However, as the population is assumed to be bell-shaped, we can use the empirical rule to get a more accurate estimate. According to the empirical rule, approximately 68% of the population values will lie within 1 standard deviation of the mean, 95% of the population values will lie within 2 standard deviations of the mean, and 99.7% of the population values will lie within 3 standard deviations of the mean.

The standard deviation of the population is the square root of the variance, which is 10 in this case.

So, we want to find the percentage of the population values that are between 51 and 91, which is 2 standard deviations away from the mean in either direction.

Using the empirical rule, approximately 95% of the population values will lie between (71 - 2(10)) = 51 and (71 + 2(10)) = 91.

Therefore, approximately 95% of the population values are between 51 and 91.

Know more about Chebyshev's theorem here:

https://brainly.com/question/30584845

#SPJ11

Answer:

45 & 47

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 92

→ 2x + 2 = 92

Now the value of x will be,

→ 2x + 2 = 92

→ 2x = 92 - 2

→ x = 90/2

→ [ x = 45 ]

Then the required integers are,

→ x = 45

→ x + 2 = 45 + 2 = 47

Hence, the integers are 45, 47.

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

Learn more about Pythagoras theorem here:

https://brainly.com/question/3618957

#SPJ1

Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

The required coordinate of B will be at (1, 4)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

\(M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]\) where:

\(X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}\)

From the question, we are given the following coordinate points

\(X=1\\x_1=1\\\)

Get x₂;

\(X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\\)

Get y₂;

\(Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4\\\)

Hence the coordinate of B will be (1, 4)

Learn more about the midpoint here: https://brainly.com/question/18315903

The probability of the spinner landing on black and on a number less than 6 is 1÷3, or approximately 0.33.

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

To answer this question, we need to know the number of sections on the spinner that are black and have a number less than 6, as well as the total number of sections on the spinner.

Let's assume that the spinner has 6 equal sections, numbered 1 through 6. If we look at the spinner, we can see that there are two sections that are black and have a number less than 6: the section with the number 2 and the section with the number 4.

Therefore, the probability of the spinner landing on black and on a number less than 6 is:

Number of favorable outcomes : Total number of possible outcomes

Number of favorable outcomes = 2 (the black sections with numbers less than 6)

Total number of possible outcomes = 6 (the total number of sections on the spinner)

Probability = 2÷6 = 1÷3

Therefore, the probability of the spinner landing on black and on a number less than 6 is 1÷3, or approximately 0.33.

To learn more about Probability from given link.

https://brainly.com/question/29221515

#SPJ1

Answer:

Angela asked each student in her class about the height of the fence around their house. She made the histogram below to

represent the heights of each student's fence.

Height of Fence

16

14

12

10

Students

8

6

4

2

8

10

12

6

Feet

Which statement is true?

OA. The data distribution is both symmetric

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The sampling procedure that is being used in this case is simple random sampling.

What is sampling?

Sampling refers to the method of choosing a subset of individuals from a population to represent the whole population, with the aim of making inferences or conclusions about the population. The different types of sampling are random, stratified, cluster, and systematic, among others. Simple random sampling, as well as its variants, is the most basic and common method of random sampling.

What is simple random sampling?

Simple random sampling is a probability sampling technique in which every item in the sampling frame has an equal probability of being selected. This means that every element in the population has an equal chance of being included in the sample. The researcher first creates a sampling frame, which is a list of all the elements in the population, and then selects individuals for the sample at random.

The selection of each item is independent of the selection of the others, so the sample is representative of the population and free from bias. In this scenario, each individual's name in the sampling frame list has an equal chance of being picked, thus making it simple random sampling.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

If the equation Ax = b has multiple solutions, we can conclude that the transformation represented by matrix A is not one-to-one and not invertible.

If the equation Ax = b has more than one solution for some b, it implies that the transformation represented by matrix A is not invertible or not bijective.

To justify this, let's consider the implications of the equation having multiple solutions. If there are multiple solutions to Ax = b, it means that there are different vectors x₁ and x₂ that satisfy the equation. In other words, there exist two distinct inputs that produce the same output when multiplied by A. This violates the condition of a one-to-one transformation, which states that each input should have a unique output.

Furthermore, if A is not invertible, it means that there is no unique inverse matrix A⁻¹ that can be used to recover the original input x from the output b. Invertibility is a characteristic of one-to-one transformations, as it ensures that the transformation can be reversed to obtain the original input.

Know more about matrix here:

https://brainly.com/question/28180105

#SPJ11

If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.

To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:

Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.

In this case:

So the slope of the line is:

The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.

It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.

This question is incomplete and should be written as:

Learn more about linear equation here: brainly.com/question/14323743

#SPJ4

The number of portion with each having 12 fruits is at most 6 portions.

To divide the fruits into 12 portions

Total number of fruits = 80

Number of fruits per portion = 12

Number of fruits per portion = (Total number of fruits / Number of fruits per portion )

Number of fruits per portion = 80/12 = 6.67

Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.

Learn more on fraction:https://brainly.com/question/19994681

#SPJ1

Calculating the ratio of the corresponding side lengths by dividing the length of the corresponding side in the dilated triangle by the length of the corresponding side in the original triangle gives the scale factor.

To determine the scale factor used to create the dilated triangle MSV, we need to compare the corresponding side lengths of the original triangle and the dilated triangle. By examining the ratios of the corresponding side lengths, we can calculate the scale factor.

To find the scale factor used to create the dilated triangle MSV, follow these steps:

Identify the corresponding side lengths between the original triangle and the dilated triangle.

Choose one pair of corresponding side lengths, such as the length of side MS in the original triangle and the length of side MS in the dilated triangle.

Calculate the ratio of the corresponding side lengths by dividing the length of the corresponding side in the dilated triangle by the length of the corresponding side in the original triangle.

This ratio represents the scale factor used to create the dilated triangle. Round the ratio if necessary.

By calculating the ratio of corresponding side lengths, you can determine the scale factor used to create the dilated triangle MSV.

To learn more about dilated triangle click here:

brainly.com/question/29161470

#SPJ11

Answer:

2

Step-by-step explanation:

\(( {4y}^{?} )^{3} = 64 {y}^{6} \\ \\ ( {4y}^{?} )^{3} = ( {4y}^{2} )^{3} \\ \\ {4y}^{?} ={4y}^{2} \\ \\ {y}^{?} ={y}^{2} \\ \\ ? = 2\)

Answer:

No

Step-by-step explanation:

If product of mean = product of extreme, then ratios are equivalent.

18 : 12  ::   16:20

Product of mean = 12 * 16 = 192

Product of extreme = 18 * 20 = 360

Not equivalent ratios

════════ ∘◦❁◦∘ ════════

════════════════════

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

Equation of the line (y = mx + c)

════════════════════

#First, you find the gradient (m)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6} \)

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

The function\(f(x, y) = (x^2 + y^2)e^((y^2) - x^2)\) has three critical points. Their coordinates are (0, 0), (-1, 0), and (1, 0). The critical point (0, 0) is a saddle point, while the critical points (-1, 0) and (1, 0) are local minima.

To find the critical points, we need to determine the values of x and y for which the partial derivatives of f(x, y) with respect to x and y are both zero. Taking the partial derivatives, we hav

∂f/∂x = \(2xe^((y^2) - x^2) - 2xe^((y^2) - x^2) - 2xy^2e^((y^2) - x^2) = 0\)

∂f/∂y = \(2ye^((y^2) - x^2) - 2ye^((y^2) - x^2) + 2xye^((y^2) - x^2)(2y) = 0\)

Simplifying the equations, we get:

\(2xe^((y^2) - x^2) - 2xy^2e^((y^2) - x^2) = 0 (1)\)

\(2ye^((y^2) - x^2) + 4xy^2e^((y^2) - x^2) = 0 (2)\)

From equation (1), we can see that either x = 0 or e^((y^2) - x^2) - y^2e^((y^2) - x^2) = 0.

For x = 0, substituting in equation (2) gives \(2ye^((y^2)\) - 0) = 0, which implies y = 0. Therefore, the critical point (0, 0) is found.

For\(e^((y^2) - x^2) - y^2e^((y^2) - x^2)\)= 0, we can factor out e^((y^2) - x^2) and obtain:

\(e^((y^2) - x^2)(1 - y^2) = 0\)

This equation holds true when either \(e^((y^2) - x^2) = 0 or 1 - y^2 = 0.\)

Since \(e^((y^2) - x^2)\) cannot be zero, we have 1 - y^2 = 0, which implies y = ±1.

Substituting y = ±1 into equation (1) gives x = ±1.

Therefore, the critical points are (0, 0), (-1, 0), and (1, 0).

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ11

Answer:

25 flowers are present in the garden

Step-by-step explanation:

An easy way we can solve this problem is divide 15 by 3 since we know the ratio is 3:2. 15 divided by 3 is 5, so we then multiply 2 by 5 to get the answer of 10 daisies in the garden. Then we simply add the flowers together to get 25! Hope this helps, Im trying to work on explaining my answers better!

Answer:

25

Step-by-step explanation:

The cost and the patient's condition are other factors. For instance, a doctor might decide against suggesting surgery if a patient has very bad health because of the potential for additional difficulties. Then, we won't be able to tell if a higher death rate is a result of the therapy or the participants' pre-existing health.

Any condition that necessitates a localised treatment, such as surgery or one of the many vascular procedures or radiation methods, is referred to as a surgical disease. A more comprehensive, pharmacological strategy to treat a medical issue is required.

"Non-surgical" treatments are also referred to as "non-invasive" procedures in the cosmetic industry. These techniques don't need cutting the skin or inserting tools into the body, in contrast to "invasive" surgical therapies.

To learn more about Surgical treatment  visit:

https://brainly.com/question/14509283

#SPJ4

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

know more about Bedrock.

https://brainly.com/question/2948854

#SPJ11

Answer:

I don't know what u said in the question

Based on the calculations, the slope of this line is equal to 50.

The slope of a line refers to the gradient of a line and it can be used to describe both the ratio, direction and steepness of an equation of a straight line.

Since the line passes through two (2) points, the slope of this line would be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given parameters into the formula, we have;

Slope = (100 - 0)/(2 - 0)

Slope = 100/2

Slope = 50.

Based on the graph, we can deduce that the distance for each hour increases by 50 miles since Bill crossed the bridge.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The final image is real since it is located to the right of the second lens. It is also upright since the magnification is positive.

(a) Using the thin lens formula, 1/f = 1/p + 1/q, where f is the focal length, p is the object distance, and q is the image distance, we have:

1/f = 1/p - 1/q1

Substituting the given values, we get:

1/11.6 = 1/16.2 - 1/q1

Solving for q1, we get:

q1 = 6.97 cm

Therefore, the image formed by the first lens is located 6.97 cm to the right of the lens.

(b) The image formed by the first lens acts as an object for the second lens. Using the thin lens formula again, we have:

1/f = 1/p2 + 1/q1

Substituting the given values, we get:

1/5 = 1/p2 + 1/6.97

Solving for p2, we get:

p2 = 3.32 cm

The distance from the second lens to the image of the first lens is then:

q2 = p2 + q1 = 3.32 + 6.97 = 10.29 cm

Therefore, the image of the first lens is located 10.29 cm to the right of the second lens.

(c) The object distance for the second lens is simply the image distance of the first lens:

p2 = q1 = 6.97 cm

(d) Using the thin lens formula again, we have:

1/f = 1/p2 + 1/q2

Substituting the given values, we get:

1/5 = 1/6.97 + 1/q2

Solving for q2, we get:

q2 = 13.95 cm

Therefore, the final image is located 13.95 cm to the right of the second lens.

(e) The magnification of the first lens is given by:

m1 = -q1/p = -6.97/16.2 ≈ -0.43

(f) The magnification of the second lens is given by:

m2 = -q2/p2 = -13.95/3.32 ≈ -4.20

(g) The total magnification of the system is given by the product of the magnifications of the two lenses:

m = m1 × m2 ≈ 1.81

(h) The final image is real since it is located to the right of the second lens. It is also upright since the magnification is positive.

To learn more about magnification visit:

https://brainly.com/question/21370207

#SPJ11

Answer:

Step-by-step explanation:

∠X ≅∠Z : Given

∠ZYV≅∠XYU

∠ZVY≅∠XUY Because ∠ZYV≅∠XYU, ∠X ≅∠Z.

So ∠YVW≅∠YUW

Draw VU

ΔVWU is an isosceles triange so ∠UVW≅∠VUW

So ∠YVU≅∠YUV

Therefore ΔYVU is also an isosceles triangle and YV = YU

So ΔZYV≅ΔXYU ( ASA)

So XU = ZV ( because of CPCTC)

Therefore XU + WU = ZV = VW : XW = ZV

ΔXWV ≅ΔZWU ( ASA)

The value of KM in triangle  ΔKLM is 110.

Similarity of a triangle is the ratio of their corresponding sides or angles which are equal .

In the given triangle ΔHIJ,

HI=13, HJ=25,

And in triangle ΔKLM,

KL=57, KM=?

triangle ΔHIJ is similar to ΔKLM,

By the property of similarity,  HI/HJ=KL/KM

Substitute the values here,

13/25=57/KM

KM=25×57/13

KM=109.6

The value of KM=110.

To learn more on :

https://brainly.com/question/16919171

#SPJ1