Use the given frequency distribution to find the
(a) class width
(b) class midpoints
(c) class boundaries

Temperature (°F):
40-42
43-45
46 48
49 51
52-54
55 57
58-60

Frequency
1
3
5
11
7
7
1


(a) What is the class width?

( Type an integer or a decimal)

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

see below for explanation:-

Step-by-step explanation:

#1

\( \displaystyle{ \frac{1}{ \sqrt{7} } }\)

\(\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }\)

\(\displaystyle{ \frac{ \sqrt{7} }{7} }\)

#2

\(\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }\)

\(\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }\)

\(\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }\)

\(\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }\)

\(\displaystyle{2( \sqrt{3} + \sqrt{2} )}\)

#3

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }\)

\(\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }\)

\(\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }\)

\(\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }\)

Answer:

2 \(\frac{2}{9}\) days

Step-by-step explanation:

Let d = the number of days.

\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1

\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1

\(\frac{9}{20}\) d = 1  Multiply both sides by \(\frac{20}{9}\)

(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))

d = \(\frac{20}{9}\)   I can break 20 into 9 + 9 + 2

d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\)           \(\frac{9}{9}\) = 1

d = 1 + 1 + \(\frac{2}{9}\)

d = 2 \(\frac{2}{9}\)

Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

Answer:

4

Step-by-step explanation:

You can set up the equation as 5x-3=2x+9. Subtract 2x from both sides, then add three to both sides which gives you 3x=12. Divide both sides by 3, and you get x=4.

Answer:

Part A: $34.60

Part B: $42.36

The height of the building, using similar triangles, is given by:

36 feet.

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

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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If both companies charge 7% sales tax, then I would choose Company 2.

Let, f = Total feet of the fence

For company 1:

eq : (f-1) x 25 + 2500

  =  (100 -1)25 + 2500

  =  99 x 25 = 2500

  =  4975 $

For  company 2:

Rate per foot of fence = 39$

Now if company 1 charges 7 % taxes then,

4975 x 7%

=  4975 + 348.25

=  5323.25$

and for company 2

39 x 7%

=  39 + 2.73

=  41.93 $

I would select company 2 because it has a lower cost and the tax amount for a complete fencing job.

If both companies charge 7% sales tax, then I would choose Company 2.

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Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

OD. -2

Step-by-step explanation:

2(x-4)+3x-x²

= 2x - 8 +3 × 3 - 3²

= 2 × 3 - 8 + 9 - 9

= 6 - 8 + 9 - 9

= 6 - 8

= -2

Answer:

the answer is D

Step-by-step explanation:

Answer: the first option, (S/2 pi r) - r = h

Answer:

part    145

whole    s

percent   15

Step-by-step explanation:

The total number of students, s, in the school is: 96 students

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Let the total number of students in the school be denoted as x. Thus, we are given:

Percentage of students that speak two languages = 15%

Number of students that speak two languages = 145

Thus:

(15/100) * x = 145

x = (145 * 100)/15

x ≅ 966

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The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.

To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:

distance = rate x time

We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:

294 feet = (7 feet/6 seconds) x time

294 feet x 6 seconds = 7 feet x time

1764 seconds = 7 feet x time

time = 1764 seconds / 7 feet

time = 252 seconds

So it takes 252 seconds for the water bottle to travel the length of the belt.

Now let's calculate the sorter's error:

343 seconds - 252 seconds = 91 seconds

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

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Answer:

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

8 questions on it

This means that \(n = 8\)

4 choices.

One of them is correct, which means that \(\pi = \frac{1}{4} = 0.25\)

What is the probability that the student gets fewer than 2 questions correct?

This is

\(P(X < 2) = P(X = 0) + P(X = 1)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1\)

\(P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267\)

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367\)

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Answer:

A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.

What is the probability that the student gets fewer than 2 questions correct?

Round to 3 decimal places.

0.367

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:

95% = Within two standard deviations from the mean

99.7% = Within three standard deviations from the mean

68% = Within one standard deviation from the mean

Step-by-step explanation:

I hope this helped! If it did, please click "Thanks" to help me out!

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), you must do it to both sides of the equation.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

  10 -9x -5 = 9x -9x +2

  x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

  x -5 +5 = 2 +5

  x = 7 . . . . simplify

The solution is x = 7.

_____

Additional comment

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

Answer:

2r^2+2r-10

Step-by-step explanation:

collect the like terms

the like terms are

3r and r

-10+2r+2r^2

reorder the terms

2r^2 +2r-10

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer:

The answer would be 20 because 2x2=4 right so 10x2=20

Step-by-step explanation:

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer: quantitative

Step-by-step explanation:

Measured variables in statistics may be subdivided into quantitative or Qualitative variables depending on whether the variable in question is numeric or non-numeric. Variables which are designed to evaluate on the basis of Number or quantity may be termed as quantitative variables while those which measure attribute and are used for characterization are called Qualitative variables. In the scenario above, the variable is concerned with the determination of concentration of nitrogen draining into water bodies, concentration follows that numeric calculations be Made in other to determine the amount of nitrogen in milligram per Litre in a particular water body in other to prevent its effect on wildlife which could result from excessive concentration in water bodies.

Answer: $33.26

Step-by-step explanation:

12 x 4= 48 (amount of money made from sales)

48 - $14.74 = $33.26

So she made $33.26 in profits

The triangles are solved and the measure of sides are 8 , 9 and 10 and 6 , 9 and 8

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AB = a

The measure of side BC = b

The measure of side AC = c

And , for a triangle , a + b > c

On simplifying , we get

when a = 8 , b = 9 and  c = 10

8 + 9 > 10

19 > 10

So , it is a triangle

And , when a = 1 , b = 1 and c = 2

1 + 1 > 2

2 is not greater than 2

So , it is not a triangle

And , when a = 6 , b = 9 and c = 8

6 + 9 > 8

15 > 8

So , it is a triangle

Hence , the triangles are solved

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Answer: 1. 10   2. 18

Step-by-step explanation:

1.) 25% of 40 is 10 so she made 10 free throws.

2.) 150% of 12 is 18 so she made 18 free throws.

It is very blurry.. please try asking the question again for me to see.

The fallacy in the given statement "oak trees are shady, shady things are not to be trusted, therefore oak trees are not to be trusted" is equivocation. So, second option is accurate.

Equivocation is a type of fallacy in logic and rhetoric where a word or phrase is used with multiple meanings or ambiguous terms, leading to misleading or false conclusions. It occurs when a word or phrase is used in different senses within the same argument or context, resulting in confusion or deception.

Equivocation often involves exploiting the ambiguity of words or phrases to create a deceptive or misleading impression. It can occur in various forms, including:

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Answer:

Step-by-step explanation: