O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.

Answer:

3200

Step-by-step explanation:

Simple interest = PRT/100

= (16000 × 5 × 4%\)/100

= 320000/100

= 3200

The weekday hours you purchased is 5 hours.

The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.

2a + 10b = 220 equation 1

a + b = 26 equation 2

Where:

Multiply equation 2 by 10

10a + 10b = 260 equation 3

Subtract equation 3 from equation 2

8a = 40

a = 5 hours

(5 x 3) + b = 26

15 + b = 26

b = 26 - 15

b = 11 hours

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Answer:

yes

Step-by-step explanation:

Yes.

The graph of y = 2x - 2 is a straight line sloping up to the right.

It passes the vertical line test, so it is a function.

A beam measuring 2 meters can support 172 kilograms

The variation is a direct variation.

So, we have:

w = kl

Where k is the constant of variation.

When l = 5, w = 430.

This means that:

430 = 5k

Divide both sides by 5

k = 86

So, we have:

w = 86l

When l = 2, we have:

w = 86 * 2

Evaluate

w = 172

Hence, a beam measuring 2 meters can support 172 kilograms

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Answer:

-2 =w

Step-by-step explanation:

9(w – 4) – 7w = 5(3w – 2)

The first step is to distribute

9w -36 - 7w = 15w -10

Combine like terms

2w -36 = 15w -10

Subtract 2w from each side

2w -36 -2w = 15w-10-2w

-36 = 13w -10

Add 10 to each side

-36+10 =13w-10+1-

-26 = 13w

Divide by 13

-26/13 =13w/13

-2 =w

Answer:

14.5 Meters

Step-by-step explanation:

1 centimeter= 0.01 Meters

1450 cm x 0.01 =14.5

Answer:

(1, 0), (2, 0), and (-3, 0)

Step-by-step explanation:

The x intercepts  are where it crosses the x axis.  It crosses at (-3,0), (1,0) and (2,0)

A type I error takes place if a given null hypothesis is rejected but is said to be true in the population such as the forecast shows it is snowing outside but actually it is isn't.

A type II error is known to be a statistical term that tells the error that takes place when one fails not to accept a null hypothesis that is said to be really false. A type II error create a false negative.

Note that:

The power of the test shows that:

See full question below

Suppose you have the following null and alternative hypothesis:

H o: it is snowing.

H a: It is not snowing

(A) in the context of this problem, describe a Type-1 error

(B) Describe Type II error

(C)Describe power of the test

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Based on the result from the box plot, the number of blue marbles is equal to the median of the data set and this is equal to 40.

A boxplot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:

For this exercise, we would create a box plot (see attachment) for the marbles in a bag of 100 marbles. By critically observing the box plot, we can logically deduce that the number of blue marbles is equal to the median of the data set and this is given by:

Median = 4 × 10

Median = 40.

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Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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Using proportions, it is found that the scale factor of the transformation is of 1/3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

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The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a  length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r  = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

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By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

15cm - 6cm = 9cm

Then its area is:

A' = 12cm*9cm/2 = 54cm²

This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

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Answer:

Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people

Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.

Now 12 people can go in 1 bus.

Therefore 1 person can go in 1/12 bus

Now 1 person can go in 1/12 bus

Therefore 80 people can travel in 1/12 x 80

                                                   = 6.6  

                                                    = 7

Therefore minimum buses needed will be 7

Now we can write inequality as 12 x x > = 80

                    Or x ≥ 80 / 12

       or x > = 6.6

Step-by-step explanation:  Hopes it help

                                            Please mark my answer as a brainliest!

Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%

The probability that he would have done at least this well if he had no ESP is 0.99979

To determine the probability, we need to first find the probability of doing well with ESP.

The probability of having 20 correct answers out of 23 coin flips is:

[tex]\mathbf{=(\dfrac{1}{2})^{20}}[/tex]

Since we have 20 correct answers, we also need to find the probability of getting 3 answers wrong, which is:

[tex]\mathbf{=(\dfrac{1}{2})^{3}}[/tex]

There are [tex](^{23}_{20})[/tex] = 1771 ways to get 20 correct answers out of 23.

Therefore, the probability of doing well with ESP is:

[tex]\mathbf{= 1771 \times (\dfrac{1}{2})^{20}} \times (\dfrac{1}{2})^{3}}[/tex]

= 0.00021

The probability that he would have at least done well if he had no ESP is:

= 1 - 0.00021

= 0.99979

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Answer:

108 1/3 hours

Step-by-step explanation:

There are 60 minutes in 1 hours.

40 words/minute × 60 = 2400 words/hour

2.6 × 10^5 / 2400 = 108.3333... = 108 1/3

Answer 108 1/3 hours

Using it's concept, it is found that the average rate of change for the number of parts that the company produced from day 1 to day 3 is of 87.

It is given by the change in the output divided by the change in input.

In this problem, in 2 days, from day 1 to day 3, the number of parts increased from 66 to 240, hence the rate of change is given by:

r = (240 - 66)/2 = 87.

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5 blue, 4 red = 9 total

Probability (Blue, Blue)  = 5/9 x 5/9 = 25/81 = 0.30864

Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753

Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173

Fraction answer = 41/81

Decimal answer = 0.506173 (round off as needed)

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

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Answer:

[tex]1\frac{1}{9}[/tex]

Step-by-step explanation:

Given the following question:

[tex]1\frac{2}{3} \times\frac{2}{3}[/tex]

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

[tex]1\frac{2}{3} =3\times1=3+2=\frac{5}{3}[/tex]
[tex]\frac{5}{3} \times\frac{2}{3}[/tex]
[tex]5\times2=10[/tex]
[tex]3\times3=9[/tex]
[tex]=\frac{10}{9}[/tex]

Convert the improper fraction into a mixed number:

[tex]\frac{10}{9}[/tex]
[tex]\frac{10}{9} =10\div9=1\frac{1}{9}[/tex]
[tex]=1\frac{1}{9}[/tex]

Your answer is "1 1/9."

Hope this helps.

Answer:

(p + q) + r

is the correct answer

Answer:

w=2  w = -9

Step-by-step explanation:

w^2 + 7w - 18 = 0

We can factor this equation

What 2 numbers multiply to -18 and add to 7

9*-2 = -18

9+-2 = 7

(w-2) (w+9) = 0

Using the zero product property

w-2 = 0    w+9 =0

w=2  w = -9

Answer:

[tex]w_1=2\\w_2=-9[/tex]

Step-by-step explanation:

This is going to be solved using the quadratic formula.

1. Determine the quadratic equation’s coefficient [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Use the standard form, [tex]ax^2+bx+c=0[/tex]  , to find the coefficients of our equation,

[tex]w^2+7w-18=0[/tex]:

a = 1

b = 7

c = -18

2. Plug these coefficients into the quadratic formula

The quadratic formula gives us the roots for  [tex]aw^2+bw+c=0[/tex] , in which [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are numbers (or coefficients), as follows:

[tex]w=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

7 additional steps:

a = 1

b = 7

c = -18

[tex]w=\frac{-7\pm\sqrt{7^2=4*1*-18} }{2*1}[/tex]

Simplify exponents and square roots

[tex]w=\frac{-7\pm\sqrt{49-4*1*-18} }{2*1}[/tex]

Perform any multiplication or division, from left to right:

[tex]w=\frac{-7\pm\sqrt{49-4*-18}}{2*1}\\w=\frac{-7\pm\sqrt{49--72}}{2*1}\\\\w=\frac{-7\pm\sqrt{49+72}}{2*1}\\w=\frac{-7\pm\sqrt{121}}{2*1}[/tex]

to get the result:

[tex]w=\frac{-7\pm\sqrt{49-4*-18}}{2}[/tex]

3. Simplify square root [tex]\sqrt{121}[/tex]

Simplify 121 by finding its prime factors:

121 ( 11 * 11)

The prime factorization of 121 is 11^2

Write the prime factors:

[tex]\sqrt{121}=\sqrt{11\cdot 11}[/tex]

Group the prime factors into pairs and rewrite them in exponent form:

'[tex]\sqrt{11\cdot 11}=\sqrt{11^2}[/tex]

Use the rule [tex]\sqrt{x^2=x}[/tex]  to simplify further:

[tex]\sqrt{11^2}=11[/tex]

4. Solve the equation for w

[tex]w=\frac{-7\pm11}{2}[/tex]

The ±  means two answers are possible.

Separate the equations:

[tex]w_1=\frac{(-7+11)}{2}[/tex] and [tex]w_2=\frac{-7-11}{2}[/tex]

[tex]w_1=\frac{-7+11}{2}[/tex]

[tex]w_1=\frac{4}{2}[/tex]

[tex]w_1=2[/tex]

[tex]w_2=\frac{-7-11}{2}[/tex]

[tex]w_2=\frac{-18}{2}[/tex]

[tex]w_2=-9[/tex]

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

Why learn this

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

Terms and topics

-----------

Learn more:

Answer:

12:11

Step-by-step explanation

Answer:

I think it would be 12:11

Step-by-step explanation:

This is because you can't down size the 11

B. The square root function is the quadratic function reflected across

the line y = x, with a limited domain.

graph y=x^2 and y=√x and y=x

graph is attached

gathmath

Answer:

60

Step-by-step explanation:

The shaded region's area is the difference between the area of the outer rectangle and the white rectangle.

area = LW - lw

area = (4 + 4)(9 + 3) - (4)(9)

area = (8)(12) - 36

area = 96 - 36

area = 60

[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

Answer:

r - 3

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

Here we decrease the variable "r" by 3.

Remember, variables always represent some number.

Let's think about it this way...

///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\

So we have a number r, and we decrease it by 3.

Now its value is less than the original value.

We subtracted 3 from the original value of r, and now its value is less than the original one.

Thus, "decreased by" is the same as "subtracted" in mathematics.

r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

$156.96

Step-by-step explanation:

10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)

Answer:

Random sampling

Step-by-step explanation:

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.