What is (5/6)^2 + (2/3)^2 ?

Answer:

The answer is 3

Step-by-step explanation:

Answer:

The unit rate would be 3 dollars per pound!

Answer:

0.7148 meter

Step-by-step explanation:

you have to divied 714.81 by 1000 to get 0.7148 meter

Answer:

xy = 42.6282051282...

Step-by-step explanation:

0.78x/7 = 19/4y

0.78x * 4y = 3.12xy

19 * 7 = 133

3.12xy = 133

3.12xy/3.12 = 133/3.12

xy = 42.6282051282...

Answer:

A reflection over the line x=3

Step-by-step explanation:

To gain a deeper understanding of the relationship between the amount of the bill, the number of diners, and the amount of tips earned by servers at The Conch Café, Fuzzy Conch should continue collecting data from additional customers.

Based on the information provided, Fuzzy Conch, the owner of The Conch Café in Gulf Shores, Alabama, wants to gather data on the amount a server can earn in tips. He believes that the amount of the tip is related to both the amount of the bill and the number of diners. Here is the sample information he gathered:

Customer 1:
- Amount of tip: $8.00
- Amount of bill: $48.84
- Number of diners: 2

Customer 2:
- Amount of tip: $3.30
- Amount of bill: $23.46
- Number of diners: 3

Based on this information, we can see that the amount of the tip can vary depending on the amount of the bill and the number of diners. Fuzzy Conch should continue collecting data from other customers to further analyze the relationship between these variables and the amount of tips earned by servers at The Conch Café.

To learn more about variables

https://brainly.com/question/28248724

#SPJ11

The value of x in the given similar triangles ADB and BCE is 4.5.

To solve for x in the given similar triangles ADB and BCE, we can set up the proportion of corresponding sides:

In triangle ADB, we have:

AB/BD = x/DE

Substitute the given values:

3/4 = x/6

Now, cross-multiply and solve for x:

3 * 6 = 4x

18 = 4x

x = 18/4

x = 4.5

So, the value of x is 4.5.

To know more about similar triangles, refer here:

https://brainly.com/question/29731302

#SPJ6

Answer:

16= 2 (3+b)

16 = 6+2b

10 = 2b

b = 5

Step-by-step explanation:

UB nu un MB a nshauIduxoa

Answer:

3

Step-by-step explanation:

if you round it by the nearest 2 you get 3

Answer:

Substitution (See Below)

Step-by-step explanation:

y = 4 (x) -9

y = 4(3) -9

y = 12 - 9

y = 3

(3, 3)

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism is 41.8°, expressed with two significant figures

The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism can be calculated using the law of total internal reflection. This law states that when a ray of light is incident on the surface separating two media of different refractive indices, the angle of incidence (θ1) must be greater than a certain critical angle (θc) in order for total internal reflection to occur.

Calculating the critical angle of the hypotenuse of a glass prism can be done by using Snell’s Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media. In this case, the two media are air and glass, with refractive indices of 1 and 1.5 respectively.

Using Snell’s Law, we can calculate the critical angle of the hypotenuse as θc = sin⁻¹ (1/1.5) = 41.8°.

To know more about hypotenuse here.

https://brainly.com/question/29407794

#SPJ4

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

To learn more about interest click here: brainly.com/question/30393144

#SPJ11

\( {4}^{2} = 6 \times z\)

\(16 = 6z\)

Divide both sides by 6

\( \frac{16}{6} = \frac{6z}{6} \\ \)

\(z = \frac{8}{3} \\ \)

16/27 is the value of quantity.

What is a linear equation in math?

\(\frac{3^{2} * 3^{-5} }{4^{2} } = \frac{3^{-3} }{4^{-2} }\)

\(\frac{1}{3^{3} }\)  ÷  \(\frac{1}{4^{2} }\)

\(\frac{1}{27} * 16 = \frac{16}{27}\)

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

x = -1

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

5x - (x + 4) + 1 = 3 - 2(x + 6)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

1

Step-by-step explanation:

6 ÷ 2(1 + 2) ; use "please excuse my dear aunt sally", please for parenthesis

6 ÷ 2(3); now do "my" for multiplication

6 ÷ 6 ; now do "dear" for division

1

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

for more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

To learn more about confidence intervals visit : https://brainly.com/question/20309162

#SPJ11

The original price of the laptop is $479.40.

Given:

Discount on the laptop = 25%

HST paid on the laptop = 13%

Total price of the laptop = $677.15

Let the original price of the laptop be $x.

Price of the laptop after 25% off = x + 25% of x

                                                      = $ (125x/100)

Total Price of the laptop after paying 13% HST

= (125x/100) + 13% of (125x/100)

= (125x/100) + (65x/400)

= $ (565x/400)  

Now, it is given that the total price paid is $677.15 at the cash register.

565x/400 = 677.15

x = (677.15 × 400)/565

x = $479.40      

Therefore, the original price of the laptop is $479.40.

To know more about discount problems visit:

https://brainly.com/question/13947216

#SPJ10                                        

Answer:

Step-by-step explanation:

Use the Law of Sines for this. Set it up as follows:

\(\frac{sin(x)}{6}=\frac{sin(61)}{6.2}\)  Cross multiply:

6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:

\(sin(x)=\frac{6sin(61)}{6.2}\)

Work on the right side first. Plug that into your calculator to get

sin(x) = .8464061682

Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:

\(sin^{-1}(\)

After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.

Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including the precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

To learn more about quantifiable data visit : brainly.com/question/1634693

#SPJ4

Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

To learn more about quantifiable data visit: brainly.com/question/1634693

#SPJ4

If In a class of 29 students, 19 are female and 14 have an A in the class then 2 male students have an A in the class.

We can calculate the number of students who are male and have an A in the class by subtracting the given values from the total number of students.

Total students = 29

Female students = 19

Male students = Total students - Female students = 29 - 19 = 10

Students with an A = 14

Male students without an A = 8

To calculate the number of male students with an A, we subtract the number of male students without an A from the total number of male students.

Male students with an A = Male students - Male students without an A = 10 - 8 = 2

Therefore, there are 2 male students who have an A in the class.

To learn more about “numbers” refer to the https://brainly.com/question/24644930

#SPJ11

Answer:

8.145

Step-by-step explanation:

Answer:

8128

Step-by-step explanation:

this is because this is the one that when you subject from 8074, it is the lowest number

Answer:

4+2d

Step-by-step explanation:

2(3+d-1)

6+2d-2=6+(-2)+2d

=4+2d

The coefficient of determination, denoted as r^2, measures the proportion of the total variation in the dependent variable (y) that is explained by the independent variable(s) in a linear regression model. To compute r^2, we need the values for the total sum of squares (SST) and the error sum of squares (SSE). In this case, SST is given as 181.2 and SSE as 33.9.

The formula to calculate the coefficient of determination,\(r^2\), is given by r^2 = 1 - (SSE / SST). By substituting the provided values into the formula, we can compute r^2.

\(r^2 = 1 - (33.9 / 181.2)\)

\(r^2 = 1 - 0.1868\)

\(r^2 ≈ 0.8132\)

Therefore, the coefficient of determination,\(r^2\), is approximately 0.8132. This indicates that approximately 81.32% of the total variation in the dependent variable is explained by the independent variable(s) in the least-squares regression line. The remaining 18.68% represents the unexplained variation or the variability attributed to random error. A higher value of\(r^2\) suggests a stronger relationship between the variables, while a lower value indicates a weaker relationship.

Learn more about coefficient here:

https://brainly.com/question/13431100

#SPJ11

So, the translated quadrilateral M'N'P'Q' can be described by the vertices M'(-4 + a, 1 + b), N'(-2 + a, 4 + b), P'(2 + a, 3 + b), and Q'(1 + a, -3 + b).

To translate the quadrilateral MNPQ using a vector, we will add the components of the vector to the coordinates of each vertex of the quadrilateral. Let's assume the vector is represented by the coordinates (a, b). The new coordinates of the translated quadrilateral will be:

M' = (-4 + a, 1 + b)

N' = (-2 + a, 4 + b)

P' = (2 + a, 3 + b)

Q' = (1 + a, -3 + b)

To know more about quadrilateral,

https://brainly.com/question/30186916

#SPJ11

If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).

If (1, -2) is reflected over the y-axis, then the image is (-1, -2).

Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).

Answer:

Hi! The answer to your question is (x,4-\(\frac{2x}{3}\))

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

☁️ Answer ☁️

2x+3y=12, -4x-6y=-24

I got:

x=x, y=4 - 2x/3

(Im not sure if I solved it correctly)

Hope it helps.

Have a nice day noona/hyung