Plzz help me out don’t understand

Using the frequency distribution, a) The total number of observations is 35. b) The width of each class is 9. c) The midpoint of the second class is 20.5. d) The modal classes are class 36-45 and class 26-35. e) The class limits of the next class would be 66-75.

a) To determine the total number of observations, we need to sum up the frequencies of all the classes. In this case, the total number of observations is:

4 + 8 + 8 + 9 + 3 + 3 = 35

Therefore, there are a total of 35 observations.

b) The width of each class can be calculated by taking the difference between the upper and lower class limits. For example, the width of the first class (6-15) is 15-6 = 9.

Similarly, the width of the other classes can be calculated as follows:

Class 6-15    : width = 15-6   = 9

Class 16-25  : width = 25-16 = 9

Class 26-35 : width = 35-26 = 9

Class 36-45 : width = 45-36 = 9

Class 46-55 : width = 55-46 = 9

Class 56-65 : width = 65-56 = 9

Therefore, the width of each class is 9.

c) The midpoint of a class can be calculated by taking the average of the upper and lower class limits. For example, the midpoint of the second class (16-25) can be calculated as:

Midpoint = (16+25)/2 = 20.5

Therefore, the midpoint of the second class is 20.5.

d) The modal class is the class with the highest frequency. In this case, we can see that two classes have the same highest frequency of 9: class 36-45 and class 26-35. Therefore, both of these classes are modal classes.

e) To determine the class limits of the next class if an additional class were to be added, we need to consider the current width of the classes, which is 9.

Therefore, if we want to add a class after the last class (56-65), the lower limit of the next class would be 66, and the upper limit would be 75. Therefore, the class limits of the next class would be 66-75.

In conclusion, frequency distribution is a useful tool to organize and summarize data by grouping them into classes.

It provides information on the total number of observations, width of each class, midpoint of a class, modal class, and can even help in determining the class limits of an additional class.

Understanding frequency distributions can help in making decisions, analyzing trends, and drawing conclusions in various fields such as business, economics, psychology, and more.

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Answer:

M=17

S=9

Step-by-step explanation:

m = 17 and s = 9

Refer to the attachment for full solution . The main key here is to multiply first equation by 3 so that in both equations the coefficient of m will be same so that we can eliminate 3m and then we will solve for s and then putting value of s in any of the equation , so we can get m

Note :- You can multiply the 1st equation by 8 too for making coefficient of s same and then solving for m and then solving for s

Answer:

0.495 hours

Step-by-step explanation:

assuming asking for how long it takes the jet

240mi/hr = 119mi / time

119mi/(240mi/hr) = 0.495 hours

Answer:

no solution

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

m = -1

Step-by-step explanation:

3(m + 2) = -( 6- m) + 10​

Distribute

3m +6 = -6+m +10

Combine like terms

3m+6  = m+4

Subtract m from each side

3m-m+6 = m+4-m

2m+6 = 4

Subtract 6 from each side

2m+6-6 = 4-6

2m = -2

Divide by 2

2m/2 = -2/2

m = -1

Answer:

x= 12.714°

Step-by-step explanation:

<AEB + <CED = 90°

4x+1+3x = 90°

7x+1= 90°

7x=89

x= 12.714°

The 7 types of numbers are:-

1) Natural Numbers.

2) Whole Numbers.

3) Integers.

4) Rational Numbers.

5) Irrational Numbers.

6) Real numbers.

7) Complex numbers.

A mathematical value used to indicate the amount is called a number. A number is a mathematical notion that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers.

1) Natural Numbers: Positive integers from 1 to infinity are known as natural numbers, often referred to as counting numbers. The collection of natural numbers is referred to as "N," and its members are N = 1, 2, 3, 4, 5,.

2) Whole Numbers: Whole numbers do not include any fractional or decimal portions and are known as non-negative integers. It is represented by the symbol "W," and the set of whole numbers contains W = 0–1, 2–3, 4–5,..........

3) Integers: An integer is any whole number, but it also contains a collection of negative natural numbers. The set of numbers represented by "Z" is Z = -3, -2, -1, 0, 1, 2, 3

4) Real Numbers: Real numbers are all positive and negative integers, fractional, and decimal values that do not contain imaginary numbers. The letter "R" stands for it.

Any number that can be expressed as a ratio of one number to another is referred to be a rational number. This implies that every integer that may be expressed as p/q. The rational number is represented by the letter "Q."

5) Irrational Numbers: The sign "P" stands for an irrational number, which is a number that cannot be described as a ratio of one over another.

6) Complex Numbers (C): A complex number is one that can be expressed as a+bi, where a and b are real numbers and I is an imaginary number.

7) Imaginary Numbers: The complex numbers that may be expressed as the product of a real number and a fictitious unit are known as imaginary numbers.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

The solution that we have here is a combination question not a permutation.

You can order pizza with:  1, 2, 3, 4 toppings for $10.

The ways to do the ordering are

In total there would be  3060+816+153+18=4047 ways of ordering for the pizza.

3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have

2¹⁸ ways of ordering = 262144 ways

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The type of coupon is the independent variable.

The given experiment deals with two different types of coupons and their effects on customers' buying behavior. The purpose is to determine which coupon is more effective in getting individuals to buy two pairs of shoes. The question is to identify the independent variable from the given experiment.

The options are:

A. The price of shoes.

B. The type of coupon.

C. The customer entering a shoe store.

D. The number of pairs of shoes purchased.

The independent variable in the experiment is the type of coupon (Option B). The independent variable is the variable that is being changed or controlled to see the effect on the dependent variable.In this case, two types of coupons are being given to every other customer. The experimenters are trying to find out which type of coupon is more effective in getting customers to buy two pairs of shoes. By giving different coupons to different customers, the experimenters are trying to change the customers' buying behavior.

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The word "and" in probability implies that we use the Multiplication rule.

The correct option is Option D.

The likelihood of both events A and B occurring, in accordance with the probability multiplication rule, is equal to the product of the probability of B occurring and the conditional probability of event A occurring given that event B occurs.

The relationship between two events is explained by the probability multiplication rule.

Set A∩B represents the events in which both events A and B have occurred for two events A and B related to a sample space S. Consequently, (A∩B) indicates that occurrences A and B happened at the same time. You can write the event A∩B as AB. Using the characteristics of conditional probability, the likelihood of event AB is calculated.

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Answer:

I think it is D I'm not sure

Step-by-step explanation:

If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV

Step-by-step explanation:

Given equations:

       y  = x² + 3x - 29    ------ (i)

       y  = 2x - 9  ---------------- (ii)

Now to solve this problem, we must determine the value of x and y;

 Equate equations 1 and 2;

       x² + 3x - 29 = 2x - 9

       x² + 3x - 2x - 29 + 9  = 0

       x² + x - 20  = 0

       x² + 5x - 4x - 20  = 0

       x(x + 5 ) - 4(x + 5) = 0

      (x - 4) (x+ 5) = 0

       x  - 4  = 0 or x + 5  = 0

      x  = 4 or x = -5;

So;   solve for y now;

     y = 2x - 9

     input x  = 4 or x = -5;

    y  = 2(4) - 9 or y = 2(-5) - 9

    y = -1 or y = -19

Answer:

-0.8

Step-by-step explanation:

multiply -1 by 0.4.

subtract 0.4 from 0.22

-0.8

Money in the account when you graduate from the college is a) $6171.5 and b)$6195.

Given:

Principal = $5000

Interest rate = 4.3%

Time = 5 years

a)

A = p(1+r/n)^nt

= 5000(1+0.043/1)^1*5

= 5000(1.043)^5

= 5000*1.2343

= $6171.5

The annual money is $6171.5

b)

A = p(1+r/n)^nt

= 5000(1+0.043/12)^12*5

= 5000(1.00358)^60

= 5000*1.239

= $6195

The monthly money is $6195.

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Answer:

i need the diagram

Step-by-step explanation:

plz

Answer:

its b

Step-by-step explanation:

Answer:

x = -27

Step-by-step explanation:

-x/3 = 9

Multiply each side by -3

x/-3 * -3 = 9*-3

x = -27

See attachment for math work and answer.

Answer:

It would be (x0.3,y0.3). C is the answer

Step-by-step explanation:

Because if you actually read it, it already gave you the answer which is the scale factor of 0.3

so that would lead to (x0.3,y0.3)

If a sequence of bounded functions converges to a function on the real line, the limiting function is also bounded.

Let {fn} be a sequence of bounded functions on R that converges pointwise to f. For each fn, there exists a positive constant M such that |fn(x)| ≤ M for all x ∈ R.

As fn converges to f, for any given x, there exists a positive integer N such that |fn(x) - f(x)| < 1 for all n ≥ N. By the triangle inequality, we have |f(x)| ≤ |f(x) - fn(x)| + |fn(x)| < 1 + M for all x and n ≥ N.

Choosing M' = max{1 + M, |f(1)|, |f(2)|, ..., |f(N-1)|}, we have |f(x)| ≤ M' for all x. Hence, f is bounded.

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Rewrite expression in rational exponent form

\(a) \: \: \: \: \sqrt[5]{ (- 53) ^{4} } \\ b) \: \: \: \: \: \: \sqrt[4]{(110) {}^{7} } \)

the rational exponent form :

a)

\( { - 53}^{ \frac{4}{5} } \)

b)

\(110 { }^{ \frac{7}{4} } \)

Exponential numbers are a form of mathematical abbreviation that allow us to write complex mathematical expressions more succinctly. An exponential number is a number that is repeatedly multiplied by itself.

Exponential is written with numbers and letters to the right of certain mathematical expressions called bases. While exponential numbers are often also called powers. Properties of exponential numbers

Exponential numbers have their own special properties as follows:

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1. The correct proportion is given as follows: AB/AD = DE/BC

2. The justified measurements are given as follows:

B AB = 6, BD = 3/2, AC = 4, CE = 1/3

C AB = 9, BD = 3/2, AC = 6, CE = 1/3

Similar triangles are triangles that share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths in this problem are given as follows:

AB/AD = DE/BC = AC/AE.

Another correct ratio is:

AB/AC = BD/CE.

Hence:

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If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30

Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

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Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < \((\frac{3.95 - u }{0.02})\) ) = P ( Z < -2.3263 ) = 0.01

therefore :

\((\frac{3.95 - u }{0.02})\)  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < \(( \frac{3.95-3.98 }{std } )\) )  = P ( Z < -2.3263 ) = 0.01

therefore

\(( \frac{3.95-3.98 }{std } )\) = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

Answer:

may br

Step-by-step explanation:

4x+ 10=30 or 2(4x +10) =30

Answer:

see explanation

Step-by-step explanation:

Given that QS bisects ∠ PQT = 30°

∠ PQS = ∠ TQS = 15°, thus

4x + 10 = 15 ( subtract 10 from both sides )

4x = 5 ( divide both sides by 4 )

x = \(\frac{5}{4}\) = 1.25

Answer:

I have attached the image of the graph I created

Hope this helps!!

Answer:   \(\frac{\sqrt{55}}{8}\)

This is the same as writing sqrt(55)/8 where the 8 is not inside the square root.

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

Explanation:

Draw a right triangle in the quadrant Q1, which is in the northeast corner.

We're given \(\cos(\theta) = 3/8\). Recall that cosine is the ratio of adjacent over hypotenuse.

\(\cos(\text{angle}) = \text{adjacent/hypotenuse}\)

This right triangle will have an adjacent side of 3 and hypotenuse of 8.

Refer to the diagram below.

Use the pythagorean theorem \(a^2+b^2 = c^2\) to find the missing side is exactly \(\sqrt{55}\), which is the opposite side of angle theta.

Then as one last step, we would say:

\(\sin(\text{angle}) = \text{opposite/hypotenuse}\\\\\\\sin(\theta) = \frac{\sqrt{55}}{8}\)

--------------

A very similar approach is to use the pythagorean trig identity

\(\sin^2(\theta)+\cos^2(\theta) = 1\)

Solving for sine gets us

\(\sin(\theta)=\sqrt{1-\cos^2(\theta) }\)

Sine is positive in Q1.

Then plug in \(\cos(\theta) = 3/8\) and simplify. You should get the answer mentioned above.

In the book "Sarah, Plain and Tall" by Patricia MacLachlan, Anna, one of the main characters, describes what she thinks the prairie looks like after the hail storm.

After the hail storm, the prairie is likely to have undergone some visible changes. Hail storms can cause damage to crops, vegetation, and the overall landscape. It's possible that Anna perceives the prairie as altered or damaged due to the hail storm.

Given Anna's deep connection to the prairie and her love for the natural world, it is likely that she feels concerned and saddened by the effects of the storm. The prairie holds great significance to Anna and her family, representing their home and way of life. Therefore, she may have mixed emotions of worry and sadness, hoping for the prairie to recover and return to its previous beauty.

Anna's observations and thoughts about the prairie after the hail storm may also reflect her resilient and optimistic nature. Despite the temporary changes caused by the storm, Anna may find solace in the knowledge that the prairie has the ability to heal and rejuvenate over time. She may view it as a natural cycle, understanding that the prairie will eventually flourish once again.

In summary, while the exact thoughts of Anna about the prairie after the hail storm are not explicitly stated in the book, we can infer that she experiences a mixture of concern, sadness, and hope for the prairie's recovery. The book portrays Anna as a character deeply connected to the land, making her emotional response to the storm's impact on the prairie significant and meaningful.

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The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.

Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.

For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.

It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.

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We know the function is a sin wave

y = A sin ( bx+c) +d

A is the amplitude = ( max - min) /2 = ( 2- -2) /2 = 4/2 = 2

b is the period = 2 pi/ b = distance it repeates = 2pi / b = 4 so b = 2pi/4 = pi/2

c is the phase shift = c/b =0 since this is a sin wave and is 0 at 0 and goes up

d is the vertical shift and the wave is not shifted up or down but has a zero midline

y = 2 sin ( pi/2 x)