Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
y = negative four-thirds x + 31. y = 2 x + 7.
✔️y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7.
y = negative four-thirds x + 31. y = negative 2 x + 7.
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.

The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

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In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:

AP : PQ = 4 : 7

Step-by-step explanation:

A, P and Q lie on a straight vertical line with

AP = 4 units and AQ = 7 units, then

AP : PQ = 4 : 7

Answer: 9/15, 16/25, 3/4 and 5/6.

Step-by-step explanation:

From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:

3/4 = 3/4 × 100 = 75%

5/6 = 5/6 × 100 = 83.3%

16/25 = 16/25 × 100 = 64%

9/15 = 9/15 × 100 = 60%

From the above percentages, arranging the fractions from the smallest will be:

9/15, 16/25, 3/4 and 5/6.

Answer:

#4 bottom right

Step-by-step explanation:

It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52

Answer:

63.93 meters, correct me if I'm wrong.

Answer:

The equation in slope-intercept form is;

\(y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}\)

Step-by-step explanation:

The equation of a straight line in slope and intercept form is given as follows;

y = m·x + c

Where;

m = The slope of the line

c = The y-intercept of the line

The points through which the line passes are;

(7, 3) and (-1, 5), therefore, the slope of the line, m, is given as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Where (x₁, y₁) = (7, 3) and (x₂, y₂) = (-1, 5), we have;

\(Slope, \, m =\dfrac{5-3}{(-1)-7} = -\dfrac{1}{4}\)

Therefore;

\(\dfrac{y-3}{x-7} = -\dfrac{1}{4}\)

The equation in point slope form is therefore;

\(y - 3 = -\dfrac{1}{4} \times (x - 7)\)

From which we have;

y - 3 = -1/4×(x - 7) = -x/4 + 7/4

y = -x/4 + 7/4 + 3 = -x/4 + 19/4

The equation in slope-intercept form is therefore;

\(y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}\)

Which can be expressed as follows

y = -0.25·x + 4.75.

Answer:

x=6.1

y=12.6

Step-by-step explanation:

x/14 = sin26°

x = 14sin26° = 6.1 (nearest tenth)

y = √(14^2 - x^2) = 12.6 (nearest tenth)

The probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

To calculate the probability that at least 2 of the spins result in a 1, we can use the complement rule and subtract the probability that fewer than 2 of the spins result in a 1 from 1.

The probability of getting exactly 0 1's in 4 spins is:

(3/4)⁴ = 0.3164

The probability of getting exactly 1 1 in 4 spins is:

4 * (1/4) * (3/4)³ = 0.4219

So the probability of getting 0 or 1 1's in 4 spins is:

0.3164 + 0.4219 = 0.7383

Therefore, the probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

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Answer:

0.260 or 13/50

Step-by-step explanation:

0.51*0.51 = 0.2601

Answer:

76

Step-by-step explanation:

Answer:

the answer is 140

Step-by-step explanation:

my delta math said it was right lol

Answer:

20, -7, -14, 10, -5, 8

20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)

38 + (-26) - add like terms

12

12/6 -divide sum by number of values

2 - answer

hopes this helps

Step-by-step explanation:

Answer:

Below!

Step-by-step explanation:

9514 1404 393

Answer:

  25.12 feet

Step-by-step explanation:

The circumference of a circle is given by ...

  C = πd . . . . where d is the diameter

The circumference of the table is ...

  C = (3.14)(8 ft) = 25.12 ft

Thomas needs to buy 25.12 feet of metal strip to edge his table.

Answer:

a) Slave labor was needed for the economy.

Step-by-step explanation:

Slave labor was needed for the economy of the southern states during the early 1800’s. Hence, the option (a) is correct.

Answer:

"between 2 and 8" or, "less than 3.3", or "bit less than 3", or by long division, 2.984, depending on how accurate your evaluation is needed.

Step-by-step explanation:

How rough do you want your extimate?

A wild guess is "something between 1 and 8, since 1.4 is between 1 and 2.

Something better? that's a bit less than 1.5, which means 3/2. Cubed, it's 27/8. so it's less than 3.3

More accurate? it's 14/10, or 7/5. Cubed, 373/125, which is almost 375/125, or 3. So as a wild guess, it's 2.9

Exact value, you do long division with the previous value, 373/125, and you get your result"

Answer:

You're right, It's option B.

Step-by-step explanation:

The expressions both share two common factors that are whole numbers; 9 and 6. Use those.

9: 1, 3, 9

6: 1, 2, 3, 6

Answer:

The family of lines that are parallel to \(2\cdot x + y = 6\) is of the form \(2\cdot x + y = k, \,k\neq 6\). A possible solution is \(2\cdot x + y = -2\).

Step-by-step explanation:

Let be \(2\cdot x + y = 6\) the equation of a line, another line is parallel to it if and only if it is of the form:

\(2\cdot x + y = k, \,k\neq 6\)  (1)

Then, a possible solution is \(2\cdot x + y = -2\).

Answer:

that's a flower and i know the different parts the top is the flower and the thing that keeps it up is the steam and the root and the root underground sucks the water.

Step-by-step explanation:

\(170 - ( \frac{15}{100} \times 170)\)

In other words, altering the sampling distribution in this way increases the likelihood of making a type 1 error.

The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey.

Here,

The sampling distribution is a distribution of the values of a statistic (such as the mean or median) calculated from a set of sample data. It gives us information about how the statistic is likely to vary from sample to sample, and it is used in hypothesis testing to calculate the probability of observing certain results if the null hypothesis is true.

Filtering out all values below the mean has the effect of changing the shape, location, and spread of the sampling distribution. For example, if the original sampling distribution is normally distributed with a mean of 0 and a standard deviation of 1, filtering out all values below the mean would result in a new sampling distribution with a mean greater than 0 and a standard deviation smaller than 1.

When the sampling distribution is altered, for example by filtering out all values below the mean, it can have an effect on type 1 errors. Type 1 errors occur when we reject the null hypothesis when it is actually true.

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Answer: \(y+4=\frac{7}{3}(x+8)\)

Step-by-step explanation:

See attached image.

Answer:

Estimate the x-coordinates at which the relative maxima and minima occur. 16. f(x) = x3 + 4x2 ... 20. f(x) = x4 + 2x – 1. 20.x f(x). 247. Tì. 74. 121. -4-3-2-19. 1 2 3 4x. 11. -2. -1. 2. 19. 86.

Step-by-step explanation:

Estimate the x-coordinates at which the relative maxima and minima occur. 16. f(x) = x3 + 4x2 ... 20. f(x) = x4 + 2x – 1. 20.x f(x). 247. Tì. 74. 121. -4-3-2-19. 1 2 3 4x. 11. -2. -1. 2. 19. 86.