What is 0.09 rounded to the nearest 3 decimal places

Answer:

6s2

= 6(2)2

= 12 × 12

= 144

: The value of the expression is equal to 144

Verifying that the triangles are similar, we examine it with the similar triangle theorem with proof which is : SSS - (side-side-side similarity)

Similar triangles can be defined as triangles which are similar either in sides, angles, and both. There theorems  that have been established to help us verify similar triangles and an example is the SSS theorem

Proof: SSS means side-side-side similarity

\(\frac{qr}{tu}\) = \(\frac{pr}{su}\) = \(\frac{pq}{st}\) = \(\frac{\sqrt{52} }{\sqrt{13} }\)  

we can conclude that △pqr ~ △stu by SSS - (side-side-side similarity) theorem

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Answer:

Complete the statement to verify that the triangles is similar.

1.2

2.2

3.2

4.SSS similarity

Answer:

y - (-2 ) = 1\2 ( x- 8)

Step-by-step explanation:

The point slope form equation is  y-y₁=m(x-x₁)

( -6 ,   5 )      (  8 ,  -2  )

( x  ,  y )       (x1 ,  y1 )

Firstly we need to find the slope

                                                                     y1  -  y              -2  -  5

we can find the slope by this equation : -------------      =  --------------

                                                                    x1  -   x                 8  - (-6)

The slope is 1\2

The rate of change of h(x) with respect to x when x=2 is -3. To find d/dx, we need to take the derivative of the function h(x) and evaluate it at x=2.

h(2) tells us that when x=2, h(x)=4.

h'(2) tells us that the slope of the tangent line to the graph of h(x) at x=2 is -3.

So, we can use this information to find d/dx as follows:

h(x) = y

dy/dx = h'(x)

We know that when x=2, y=h(2)=4.

We also know that the slope of the tangent line to the graph of h(x) at x=2 is h'(2)=-3.

So, we can write the equation of the tangent line at x=2 as:

y - 4 = (-3)(x - 2)

y = -3x + 10

Now we can take the derivative of y with respect to x to find d/dx:

d/dx (y) = d/dx (-3x + 10)

d/dx (y) = -3

Therefore, d/dx = -3.

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Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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Answer: $77

Step-by-step explanation: 77 is the correct answer because the price increased by 77 because 77 is the difference between the two, and how i got 77 was to subtract 140 ( the earlier price) from 217 ( the price that it changed to), i hope you found this helpful...

Disjoint events are events that cannot happen at the same time. Two events A and B are independent if the occurrence of A does not affect the probability of B happening, and vice versa. Mathematically, this can be written as P(A and B) = P(A)P(B).

In the case of disjoint events, P(A and B) = 0 because they cannot occur at the same time. Therefore, the condition for A and B to be independent is that either P(A) = 0 or P(B) = 0, since any non-zero probability for either event would make the product P(A)P(B) also non-zero.

Two disjoint events are independent if and only if at least one of them has zero probability.

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It indicates that the test is highly accurate in correctly identifying individuals with hepatitis C (high sensitivity) and accurately ruling out individuals without the disease (high specificity).

Sensitivity and specificity are two important measures of a diagnostic test's performance. Sensitivity refers to the test's ability to correctly identify individuals who have the condition, while specificity refers to its ability to correctly identify individuals who do not have the condition.

In the case of the ELISA test for hepatitis C, a sensitivity of 95% means that the test will correctly identify 95% of individuals who actually have hepatitis C as positive. This indicates a high probability of detecting the disease when it is present.

On the other hand, a specificity of 90% means that the test will correctly identify 90% of individuals who do not have hepatitis C as negative. This suggests that there is a 10% chance of a false positive result, where individuals without the disease are mistakenly identified as positive.

Overall, the high sensitivity and specificity of the ELISA test for hepatitis C make it a valuable tool in the diagnosis and screening of individuals for this infectious disease. However, it is important to consider that no test is 100% accurate, and false results can still occur. Therefore, additional confirmatory tests may be required in certain cases to ensure accurate diagnosis and appropriate medical intervention.

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Answer:

Step-by-step explanation:

It is convenient to let a graphing calculator draw the graph for you. It can also display the solution: (x, y) = (6, 18).

__

The equations of interest are ...

  x + 2y = 42 . . . . . . revenue from sale of x cookies and y chips

  y = 3x . . . . . . . . . . 3 times as many chips as cookies

Answer:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of packs of cookies sold}

the number of packs of cookies sold

y=

y=

\,\,\text{the number of bags of chips sold}

the number of bags of chips sold

Each pack of cookies sells for $1, so xx packs of cookies will bring in 1x1x dollars. Each bag of chips sells for $2, so yy bags of chips will bring in 2y2y dollars. Therefore, the total amount 1x+2y1x+2y equals \$42:$42:

1x+2y=42

1x+2y=42

Since Kylie sold 3 times as many bags of chips as packs of cookies, she sold more bags of chips, so if we multiply 3 by the number of packs of cookies sold, we will get the number of bags of chips sold, meaning yy equals 3x.3x.

y=3x

y=3x

\underline{\text{Write System of Equations:}}

Write System of Equations:

​

1x+2y=

1x+2y=

\,\,42

42

y=

y=

\,\,3x

3x

\underline{\text{Solve for }y\text{ in each equation:}}

Solve for y in each equation:

​

\begin{aligned}\color{indianred}{1x}+2y = 42\hspace{10px} & \hspace{10px}\color{green}{y}\color{green}{=}\color{green}{3x} \\[10px] 2y = \color{indianred}{-1x}+42\hspace{10px} & \hspace{10px} & \\[10px] \frac{2y}{2} = \frac{-1x+42}{2}\hspace{10px} & \hspace{10px} & \\[10px] \color{blue}{y} \color{blue}{= -\frac{1}{2}x+21}\hspace{10px}\hspace{10px} & \hspace{10px} & \end{aligned}

1x+2y=42

2y=−1x+42

2

2y

​

=

2

−1x+42

​

y=−

2

1

​

x+21

​

y=3x

​

​

Step-by-step explanation:

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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The distance of the ramp to the platform is 16 ft, and the length of the ramp up to the top of the platform is 8√3 ft.

To determine the distance of the ramp to the platform and the length of the ramp up to the top of the platform, we can use trigonometric principles.

Height from the ground to the platform = 8 ft

Angle of inclination of the ramp = 30°

We can consider the ramp, the height from the ground to the platform, and the distance to the platform as the sides of a right triangle.

Using trigonometric ratios, specifically the sine and cosine functions, we can find the missing sides of the triangle.

Let's denote the distance to the platform as x and the length of the ramp up to the top of the platform as y. Using the sine function:

sin(30°) = opposite/hypotenuse

sin(30°) = 8/x

Solving for x:

x = 8 / sin(30°)

x = 8 / (1/2)

x = 16 ft

So, the distance of the ramp to the platform is 16 ft.

Using the cosine function:

cos(30°) = adjacent/hypotenuse

cos(30°) = y/x

Solving for y:

y = x * cos(30°)

y = 16 * cos(30°)

y = 16 * (√3/2)

y = 8√3 ft

Therefore, the length of the ramp up to the top of the platform is 8√3 ft.

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The rate of pour in feet per hour is approximately 2.51 feet per hour.

First, we need to convert the dimensions to feet:

Length = 151 feet 4 inches = 151.33 feet

Height = 14 feet

Thickness = 16 inches = 1.33 feet

Next, we need to calculate the volume of the wall:

Volume = Length x Height x Thickness

Volume = 151.33 x 14 x 1.33

Volume = 2813.89 cubic feet

To convert cubic feet to cubic yards, we divide by 27:

Volume = 2813.89 / 27

Volume = 104.22 cubic yards

Given the daily placement rate of 375 cubic yards per 8-hour day, we can calculate the rate of pour in cubic yards per hour:

Rate of pour = 375 / 8

Rate of pour = 46.88 cubic yards per hour

Finally, we can convert the rate of pour to feet per hour by dividing by the cross-sectional area of the wall:

Cross-sectional area = Height x Thickness

Cross-sectional area = 14 x 1.33

Cross-sectional area = 18.62 square feet

Rate of pour in feet per hour = Rate of pour in cubic yards per hour / Cross-sectional area

Rate of pour in feet per hour = 46.88 / 18.62

Rate of pour in feet per hour ≈ 2.51 feet per hour

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In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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The total cost of the paint increased by the percentage of profit

expected gives the total price at which Aadi should sell the paint.

Response:

The given ratio of the paint is;

Blue : yellow = 7:3

The cost of a 50-litre container of blue paint = £164

The cost of a 20-litre container of yellow paint = £84.80

The volume of the tins in which the green paint is to be sold = 5-liter

The profit on each tin = 37.5%

Required:

The amount each (5-liter) tin of green paint should be sold.

Solution:

Let X represent the volume of blue paint and let Y represent the volume

of yellow paint in the mixture, we have;

Therefore;

\(X = \mathbf{ \dfrac{7}{3} \times Y}\)

A multiple of 50, 20 and 3 is 300

If Aadi buts 15 containers of yellow paint = 300 L, we have;

\(The \ volume \ of \ blue \ paint, \ X = \dfrac{7}{3} \times 300 = 700\)

The number of tins of blue paint is \(\dfrac{700 \ L}{50 \ L/container}\) = 14 containers

The total cost of the paint bought is therefore;

15 × £84.8 + 14 × £164 = £3,568

Volume of the paint = 300 L + 700 L = 1000 L

The amount at which the paint is sold = 1.375 × £3,568 = £4,906

\(The \ price \ of \ each \ 5\, L \ tin = \dfrac{\£4,906 }{1000 \, L} \times 5 \, L = \mathbf{ \£24.53}\)

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Answer:

a). $(725 - 22t)

b). $99

Step-by-step explanation:

Expense account of the school has balance after 't' weeks = $(450 - 70t)

And fundraising account has the balance = $(275 + 48t)

a). Total amount in both the accounts after 't' weeks

    = $(450 - 70t) + $(275 + 48t)

    = $(450 + 275) + $(-70t + 48t)

    = $(725 - 22t)

b). Total amount after 8 weeks

    = $(725 - 22×8)

    = $(275 - 176)

    = $99

The value of the tangent of ∠a in ΔABC is approximately 0.63

To find the tangent of ∠a, we need to use the trigonometric ratio tan(∠a) = opposite/adjacent. In this case, the opposite side is BC, and the adjacent side is AC. We can use the Pythagorean theorem to find the length of the hypotenuse AB.

AB² = AC² + BC² = 33² + 56² = 3645

AB = √3645 ≈ 60.36

Now, we can use the tangent ratio to find tan(∠a):

tan(∠a) = BC/AC = 56/33 ≈ 1.70

Rounding to the nearest hundredth, we get tan(∠a) ≈ 0.63.

Thus, ∠a is approximately 0.63

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The element that orients readers by previewing the structure of the report is "Organization."

Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.

The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.

In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.

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Answer: it's -14

Step-by-step explanation: all you do is subtract the 2 numbers to find the answer

Answer:

83 degrees

Step-by-step explanation:

You need 180 degrees in total

You have 56 and 41 which is 97

180-97=83

Hope this helps!

Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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Given equation is

The quadratic formula for the quadratic equation

is

Here, a=1,b=-8,c=11.

So, the solutions are

So, the correct options are C and E.

Answer:

2 I think i might be wrong

Answer: hers the answer

g(r)= - 3r

Answer:

1. A

2. C

Step-by-step explanation:

1. A

2. C

Answer:

I think it is Orthocenter

Answer:

Point S is the center of gravity of the triangle. And it has a property to divide all the edges evenly.

Answer:

w = 3.2 cm

Step-by-step explanation:

Perimeter of a rectangle = 2(l + w)

Given values:

Substitute the given values into the formula and solve:

39.2 = 2(16.4 + w)

39.2 = 2(16.4 + w)

39.2 = 32.8 + 2w

39.2 - 32.8 = 32.8 - 32.8 + 2w

6.4 = 2w

6.4 / 2 = 2w / 2

3.2 = w

Check your work:

39.2 = 2(16.4 + 3.2)

39.2 = 2(19.6)

39.2 = 39.2 ✅

Final answer: w = 3.2 cm

Hope this helps!

Answer:

Drawf planets orbit the Sun.

Dwarf planets are round.

Pluto is a dwarf planet.

Answer:a,c,d

Step-by-step explanation:

edge 2023

Answer:

\(Probability = \frac{1}{8}\)

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

\(P(B) = \frac{1}{2}\)

\(P(G) = \frac{1}{2}\)

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

\(Probability = P(B) * P(G) * P(G)\)

Substitute \(\frac{1}{2}\) for P(B) and P(G)

\(Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}\)

\(Probability = \frac{1 * 1 * 1}{2 * 2 *2}\)

\(Probability = \frac{1}{8}\)

Hence, the fractional probability is \(\frac{1}{8}\)

Answer:

1/3125 or, 5^-5

Step-by-step explanation:

5^-1 = blank * 5^4

1/5/625= blank   or,     5^-1/5^4=blank

blank=1/3125               5^-5=blank

Answer: 100,000

Step-by-step explanation: All you have to do is put that equation in a calculator and I got that answer.

Answer:

100,000

Step-by-step explanation:

Simplify:

Now multiply the rest:

Therefore, the answer is 100,000

confidence interval for the mean battery life in the new model is [7.9489, 8.3045].

What is confidence interval ?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

Formula for confidence interval is =

CI = x- bar ± z*s/√n            where,

CI = confidence interval

x- bar = sample mean

z = confidence level value

{s} = sample standard deviation

{n} = sample size  

given ;

n = 6

mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6

         =  8.127

value of z for 95% C.I. = 1.96

C.I. = 8.127 ± 1.96 * 0.22/√6

C.I. = 8.127 ± 0.1781

C.I. =[7.9490, 8.3044]

Hence correct option is A.

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