x/8 = 5/6 solve the proportion

Answer:

x=   -7/32 or -0.21875

Step-by-step explanation:

You can start by adding like terms such as 10 and 12 to get 22.

Subtract 22 from both sides to get -7=32x.

Divide both sides by 32.

x=-7/32 or -0.21875

I know this looks weird but... it's right.

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

The probability of observing a pregnancy that lasts longer than 282 days is 0.8413, which corresponds to option b.

The probability of observing a pregnancy that lasts longer than 282 days can be calculated using the normal distribution. Given a mean of 266 days and a standard deviation of 16 days, we need to find the probability of the observation falling above 282 days.

To calculate this probability, we can standardize the observation using the z-score formula: z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability of x being greater than 282 days. So we calculate the z-score as follows: z = (282 - 266) / 16 = 1.

Using a standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of 1, which is 0.8413.

Therefore, the probability of observing a pregnancy that lasts longer than 282 days is 0.8413, which corresponds to option b.

to learn more about probability click here:

brainly.com/question/29221515

#SPJ11

A) The population of Ghana will take 32 years to double from 25.2 million to 50.4 million.

B) At This Growth Rate, the Population will be 40 Million till 2061.

A) To calculate the time it will take for the population of Ghana to double, we can use the rule of 70. The rule of 70 states that to find the approximate number of years it takes for a quantity to double, we divide 70 by the exponential growth rate. So, for Ghana, we divide 70 by 2.19, which gives us approximately 31.96 years. Therefore, it will take about 32 years for the population of Ghana to double from 25.2 million to 50.4 million.

B) To calculate the time it will take for the population of Ghana to reach 40 million, we can use the same formula. We want to know when the population will double from its current size of 25.2 million to 40 million. So, we set up the equation:

25.2 million x 2 = 40 million

We can see that the population needs to double once to reach 50.4 million, and then increase by a smaller amount to reach 40 million. So, we need to find out how long it will take for the population to double once, and then add that time to the current year (2013) to find out when the population will be 40 million.

Using the rule of 70 again, we divide 70 by 2.19, which gives us 31.96 years. This is the amount of time it will take for the population to double from 25.2 million to 50.4 million. Therefore, the population will reach 40 million approximately 16 years after it has doubled from its current size, which is 2013 + 32 + 16 = 2061.

To know more about exponential growth please visit

brainly.com/question/10284805

#SPJ11

Let d1 be the distance of the first boat to the lighthouse.  Then

     tan(36) = 50/d1

or

     d1 = 50/tan(36) ≈ 68.819096023558677

Let d2 be the distance of the second boat to the lighthouse.  Then

     tan(25) = 50/d2

or

     d2= 50/tan(25) ≈ 107.225346025477931

107.225346025477931 - 68.819096023558677 ≈ 38 (to the nearest meter)

Answer:

Answer is M

Step-by-step explanation:

Add 1 to both side

6x-1+1>17+1

6×>18

6/6×>18

×>3

The Sine Ratio is written as \(\frac{Perpendicular }{Hypoynuse}\) , then the maximum possible value of a Sine Ratio is 1 .

What is Sine Ratio ?

In a Right Triangle , the Sine of angle is defined as the ratio of length of the opposite side divided by the length of the hypotenuse .

we know that the domain for the Sine function is ⇒ all real numbers ;

and the range of Sine function is ⇒  [-1,1] ;

so , from the range we can conclude that , the maximum value is 1 .

Therefore , the maximum value of Sine ratio is = 1 .

Learn more about Sine Ratio here

https://brainly.com/question/30132088

#SPJ4

Answer:

Step-by-step explanation:

\((\sqrt{24b^{3} } )(\sqrt{40b^{2} } )(\sqrt{b^{2} } )=(2b\sqrt{6b})(2b\sqrt{10} )(b)\)

\(=4b^{3} (\sqrt{6b})(\sqrt{10} )\)

Hope this helps

Answer:

1.3

Step-by-step explanation:

\(\frac{14100-13920}{14100} \times 100 \approx 1.3\)

Answer:

tttttttttttttttttttttttttttttttttttttttttttttttt ty

Step-by-step explanation:

To find f(g(5)), we first substitute 5 into the function g(x), which gives g(5) = 5² - 1 = 24. Then we substitute 24 into the function f(x), which gives f(g(5)) = 24 - 1 = 23.

We are given the functions f(x) = x - 1 and g(x) = x² - 1.

(a) To find f∘g(x), we substitute g(x) into f(x). So, f∘g(x) = f(g(x)) = g(x) - 1. Therefore, f∘g(x) = (x² - 1) - 1 = x² - 2.

(b) To find g∘f(x), we substitute f(x) into g(x). So, g∘f(x) = g(f(x)) = (f(x))² - 1. Plugging in f(x) = x - 1, we get g∘f(x) = (x - 1)² - 1 = x² - 2x.

(c) To find g∘g(x), we substitute g(x) into itself. So, g∘g(x) = g(g(x)) = (g(x))² - 1. Plugging in g(x) = x² - 1, we have g∘g(x) = (x² - 1)² - 1 = x⁴ - 2x².

Now, we need to evaluate f(g(5)). First, we find g(5) by substituting x = 5 into g(x). g(5) = 5² - 1 = 24. Then, we substitute the result, g(5) = 24, into f(x). f(g(5)) = f(24) = 24 - 1 = 23. Therefore, f(g(5)) = 23.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

Answer:

im pretty sure a b g

Step-by-step explanation:

Answer:

third graph

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x + 12 ← is in slope- intercept form

with slope m = \(\frac{1}{3}\) and y- intercept c = 12

y = 3x + 4 ← is in slope- intercept form

with slope m = 3 and y- intercept c = 4

• If m > 0 , then graph slopes upwards from left to right

Both equations have a positive slope, thus both slope upwards from left to right.

the first equation has a y- intercept of 12

the second equation has a y- intercept of 4

Theses lines are represented in the third graph

First, we subtract 2x on each side.

Then, we subtract 12 on each side.

We sum 7x on each side.

Then, we add 8 on each side.

At last, we divide the equation by 36.

First, we use the distributive property.

Then, we subtract 8x on each side.

Now, we add 10 on each side.

At last, we divide the equation by -4.

Answer:

parrellograms

Step-by-step explanation:

Answer:

-4 x y + 29 = 33

Step-by-step explanation:

y (which is just what im using for the number) would be 33.

use inverse operations: so you would have 29 - (-4) and two negative makes a postive, so its basically just 29+ 4, which is 33, and then to check just repace y with 33

-4+33 does equal 29 so yea

Answer:

its c since both are prices being added and they still don't equal 75

Answer:

Whats the question. I think I can help if there is a picture or if there are more words

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Learn more about the standard error here:

brainly.com/question/16555520

#SPJ4

Answer:

1.

x⁶

2.

4m¹³

Step-by-step explanation:

The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

A t-distribution table determines the t-percentile required to construct two-sided confidence intervals. The first step in determining the t-percentile is to know the degrees of freedom and confidence level. The next step is to find the critical value of t from a t-distribution table. The t-distribution table lists values for the probability density function, cumulative distribution function, and percentile points of the t-distribution.

The table is arranged in rows and columns, with the rows corresponding to the degrees of freedom and the columns corresponding to the significance level. The critical value of t is the value that separates the central area of the t-distribution from the tails of the distribution. It is used to define the boundaries of the confidence interval. The t-value is the same as the critical value of t, but it has a positive or negative sign depending on whether the confidence interval is one-sided or two-sided. The t-percentile that is required to construct two-sided confidence intervals is given by the following steps:

Step 1: To determine the t-percentile, the degrees of freedom and confidence level are needed.

Step 2: Find the critical value of t from a t-distribution table.

(a) 95% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 95% confidence level, the value of t is found to be 2.1318. Therefore, to construct the confidence interval, the t-value is ± 2.1318.

(b) 95% confidence level, 24 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 24, a 95% confidence level, the value of t is 2.064. Therefore, to construct the confidence interval, the t-value is ± 2.064.

(c) 99% confidence level, 13 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 13, a 99% confidence level, the value of t is 3.012. Therefore, to construct the confidence interval, the t-value is ± 3.012.

(d) 99.9% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 99.9% confidence level, the value of t is found to be 3.579. Therefore, to construct the confidence interval, the t-value is ± 3.579.

The t-percentile can be found using a t-distribution table, which lists the critical value of t for different degrees of freedom and significance levels. The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

To know more about the t-distribution table, visit:

brainly.com/question/30401218

#SPJ11

Answer:

x=1

y=2

Step-by-step explanation:

Answer:

1 cup = 1/2 pint

Step-by-step explanation:

Hello,

\( \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4\)

Answer:

Step-by-step explanation:

The required average increase in the number of students enrolled per hour are 120 students.

A function of time is anything that can be described by a mathematical equation that varies reliably over time. Over time, a moving object's position changes. The location is said to be a function of time if it fluctuates in a way that can be mathematically predicted.

The function appears to be f(x) = 4. (x - 1).

You can find out how many pupils are registered at hours 2 and 4 using that function.

At hour two, there are f students enrolled (2),

f(2) = 4^ (2 - 1) = 4

At hour four, there are f students enrolled (4),

f(4) = 4^(4 - 1) = 4^3 = 64

The average growth is therefore [64 - 4] students / [4 - 2] hours = 60

students / 2 hours = 30 pupils every hour.

The numbers are as follows if the function is f(x) = 4(x - 1) rather than f(x) = 4x - 1.

f(2) = 4^2 - 1 = 16 - 1 = 15

f(4) = 4^4 - 1 = 256 - 1 = 255

The average growth rate is (255 - 15) / (4 - 2) = 240 / 2 = 120 pupils per hour.

To know more about function visit:

brainly.com/question/12431044

#SPJ4

Complete Question:

The number of students enrolled in a new course as a function of time can be represented by the function. f(x)=(4)^x−1 What is the average increase in the number of students enrolled per hour between hours 2 and 4?

Answer:

5,000.15

Step-by-step explanation:

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

Know more about the Frederick Taylor's theory

https://brainly.com/question/28609073

#SPJ11