Select TWO expressions equivalent to 3x2−4x+6 .

A. (10x2−9x−4)+(−7x2+5x−2)

B. (5x2−3x−1)+(−2x2−x+7)

C. (3x2+2x−4)+(x2−6x+10)

D. (−6x2+3x+5)+(9x2−7x+1)

The fraction will be B) 3/7 while the bags of sand required will be D) 28 bags.

Here we can that in the very first entry 6 gallons of water are required for 14 bags of sand.

Therefore to find the ratio for gallons of water to bags of snd we need to keep 6 in the numerator and 14 in the denominator to get

6/14

Now we will divide both the numerator and denominator by 2 t and bring it down to its lowest form to get

3/7.

Hence B) 3/7 will be the fraction

Now since we can see that the ratio of gallons of water to bags of sand is  3/7, this implies that every bag of sand requires 3/7 gallons of water.

Hence for 12 gallons of water, we need to mix

12/(3/7) bags of sand

= 12 X 7/3

= D) 28 bags of sand

To know more about Ratios visit

https://brainly.com/question/29079409

#SPJ4

Complete Question

The ratio table shows the amounts of sand and water in a concrete mixture. Which fraction represents the ratio of the gallons of water to bags of sand?

A)3/6

B)3/7

C)5/3

D)7/3

Part 2

How many bags of sand should be mixed with 12 gallons of water?

A)22 bags

B)24 bags

C)28 bags

D)30 bags

The equation that simplifies to -7 is given by the expression 2 - 9

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Given the equation:

2 - 9

Simplifying gives:

2 - 9 = -7

The equation that simplifies to -7 is given by the expression 2 - 9

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

Learn more about squared residuals here: brainly.com/question/30641534

#SPJ11

The given relations are:

1) It is a function.

2) not a function.

3)it is a function.

4) not a function.

A function is a relation that maps inputs into outputs, such that each output needs to be mapped into a single input.

1) For example, the first relation each input (left row) is mapped into a single output, thus, it is a function.

2) Here theinput 9 is mapped into two different outputs, then it is not a function.

3) The notation used here is (input, output), so we can see that no input is repeated,so it is a functon.

4) The input 9 is mapped into 3 different outputs, then it is not a function.

Learn more about functions at:

https://brainly.com/question/2328150

#SPJ1

The value of x that makes the equation 5(2x - 3) - 6x = 1/2(4x - 10) true is x = 5

The equation is given as

5(2x - 3) - 6x = 1/2(4x - 10)

When the brackets are expanded, we have the following equation

10x - 15 - 6x = 2x - 5

Evaluating the like terms. we have

2x = 10

Divide both sides of the  equation by 2

So, we have

x = 5

Hence, the value of x in the equation is 5

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

Answer: 240 mins

Step-by-step explanation:

Given:

solution :

so answer is 75.

Answer:

75

Step-by-step explanation:

The values of lengths are:  AE = 30, GF = 10, GD = 5 for the given ΔABC.

Point at which all three medians of a particular triangle meet is called as a centroid. Median also called as a line segment which connects the vertex of a triangle to the midpoint.

Since G is the centroid of ΔABC, it divides each median in the ratio  of 2:1. That is,

AG:GE = 2:1,     BG:GF = 2:1,     CG:GD = 2:1

First, we know, AG/GE = 2/1         (given, AG = 20)

20 / GE = 2/1

GE = 10

So, given in the median of ΔABC is,

AE = AG + GE      (put the values)

AE = 20 + 10

AE = 30

Now, we can use the fact that BG:GF = 2:1 to find the length of GF:

we know, BG/GF = 2/1         (given, BF = 30 = BG + GF)

BG = 2GF

(BF - GF) = 2GF                     (here, BG = BF - GF)

30 - GF = 2GF

GF = 10

Now, we can use the fact that CG:GD = 2:1 to find the length of GD:

we know, CG/GD = 2/1         (given, CG = 10)

10 / GD = 2/1

GD = 5

Therefore, we get the values are:  AE = 30, GF = 10, GD = 5

To know more about triangle, visit:

https://brainly.com/question/17815056

#SPJ1

Answer:

A. 27 ft^3

Step-by-step explanation:

cube root of 729 is

9

1/3 of 9 is

3

volume of a cube with an edge of 3 is

3^3 =

27

From chi-square test, the test statistic value for priori proportions is equals to the 5.426803091. As p value > 0.10, so there is to evidence to support the claim of data consistent.

We have an information-retrieval system has ten storage locations. From the provided information, the claim is test whether the data is consistent with the priori proportions or not. Hence, the null hypothesis is true proportions in all 10 categories is equals to their claim value. Also, alternative hypothesis is atleast one proportion is different from claimed value, H₀ : p₁ = 0.033333, p₂= 0.066667, p₃ = -0.1, p₄ = 0.133333, p₅ = 0.166667, p₆ = 0.166667, p₇= 0.13333, p₈ = 0.1, p₉ =0.066667, p₁₀ =0.033333

Hₐ : all pᵢ's ≠ pᵢ₀

We will use the chi-square test for testing the hypothesis. Here, level of significance= 0.10

Sample size, n = 198

The frequencies for location are 5, 15, 23, 25, 35, 31, 32, 14, 10, and 8. Now, consider the table in attached figure, contain all required information for test. Now, the chi-square value formula, X² = \ frac {\sum( O - E)²}{E}

Substitution of all known values

X² = 5.426803091

degree of freedom, df = 10 - 1 = 9

Using the Excel function for determining the P-value,CHISQ.DIST.RT(5.426803091, 9 ) = 0.795629806

As P-value > 0.10, so we fail to reject the hypothesis. Hence, there is no evidence to support that atleast one proportion is

different from claimed value.

For more information about chi-square test, visit :

https://brainly.com/question/29728594

#SPJ4

Answer:

There were 200 Questions on the Final.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

This question asks for the total distance travelled by both ants combined. Regardless of the direction they travelled, the ants' distance travelled together(13 + 17) is 30 centimeters total.

Hope this helps!

nswer

First image

Angle ABC covers around the inside and outside of the circle.

Second image

Angle x l

hird image

Angle DBE l

ngle of arc DE l

ngle of arc AC l

ourth angle

ll the angles at U lie inside the circle.

ngle 78° l

ngle 114° l

ope this Helps!!!

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

Answer:

the answer would be p= -4

13-3p = -5(3+2p)

13-3p = -15-10p

13 = -15-7p

28 = -7p

p = -4

Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right

(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.

In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.

The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

The set of salary (data) :

28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.

Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48

The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65

The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

To learn more about Mean, Median refer to :

https://brainly.com/question/542771

#SPJ4

Answer:

Step-by-step explanation:

4 Numbers Given, 1,8,6,4

Numbers start counting from 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ..... and so on

Here we can see that 1 is the first  Number.

Thus 1 is the Smallest Integer( Number ) in the given series.

The computation shows that the best buy is 24-cup container at $1.10

The 2-cup container is $0.89. This will be per cup as:

= $0.89/2

= $0.45

The 24-cup container is $1.10. This will be:

= $1.10/24

= $0.046

The 3-cup container is $1.75. This eill be:

= $1.75/3

= $0.58

Therefore, the best buy us 24-cup container at $1.10

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

The probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

To find the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed, we can use Bayes' theorem.

Let's define the following events:

A: Labor force participant has a high school diploma or fewer years of education.

B: Labor force participant is unemployed.

We are looking for P(A|B), the probability that a labor force participant has a high school diploma or fewer years of education given that he or she is unemployed.

According to the information given:

P(A) = 0.381 (38.1% of the labor force has a high school diploma or fewer years of education)

P(B|A) = 0.051 (5.1% of those with a high school diploma or fewer years of education are unemployed)

P(B) = (P(A) * P(B|A)) + (P(A') * P(B|A')) [using the Law of Total Probability]

P(A') = 1 - P(A) = 1 - 0.381 = 0.619 (complement of having a high school diploma or fewer years of education)

P(B|A') = 0.035 (3.5% of those with some college or an associate's degree are unemployed)

P(B|A) = 0.028 (2.8% of those with a bachelor's degree or more education are unemployed)

Substituting these values into the equation for P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035)

Now we can calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

Substituting the values we have:

P(A|B) = (0.051 * 0.381) / P(B)

Calculating P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035) = 0.019431

Substituting the calculated value of P(B) into the equation for P(A|B):

P(A|B) = (0.051 * 0.381) / 0.019431 ≈ 0.999

Therefore, the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

To learn more about Bayes' theorem visit:

brainly.com/question/32765058

#SPJ11

A recursive sequence is one where a previous term is used to define a term. For example,

For this question, the sequence is defined as:

The total distance covered by Mary while walking around the track is 2 1/2 miles.

On a track, Mary and Jerry are working out.

Mary is moving along at a 3 mph pace.

After Mary has been walking for fifteen minutes, Jerry begins to jog at a speed of four miles per hour.

Mary continues to walk as Jerry jogs for two kilometers before they both stop at the same time.

Enter Mary's total walking mileage around the track in miles.

Find the distance M had walked when J starts jogging.

15 min = 0.25 hrs

3 × .25 = .75 miles

Find how long it took J to jog 2 miles at 4 mph

2/4 = .5 hrs

Find how far M can walk in .5 hrs at 3 mph

.5 × 3 = 1.5 miles

Enter the total distance, in miles, that Mary walks around the track

.75 + 1.5 = 2.25 mi or 2 1/4 miles.

Hence distance covered in miles is 2.25 miles.

Learn more about Speed distance and time here:

brainly.com/question/7243416

#SPJ1

Answer:

4. 78

5. 0

Step-by-step explanation:

4. b^2=9x9=81

   9a=9x1/3=3

   81-3=78

5.12a=12x1/3=4

  c=5

  b=9

  4+5-9=0

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

Learn more about voter turnout at:

brainly.com/question/29639449

#SPJ4

Answer:

y = -5x + 21

Step-by-step explanation:

First, put 2x - 10y = 0 into slope intercept form to find the slope:

Subtract 2x from both sides:

-10y = -2x

Divide each side by -10:

-10y = -2x

y = 1/5x

So, the slope of the line is 1/5.

Perpendicular lines have opposite reciprocal slopes, so the slope of the other line will be -5.

Then, use the equation y = mx + b to plug in the slope and the point given.

Solve for b:

y = mx + b

-4 = -5(5) + b

-4 = -25 + b

21 = b

Lastly, plug in the slope and b into y = mx + b to create the equation in slope intercept form:

y = -5x + 21 is the equation

The interval at which the function f(x) = |4(x - 1)| + 2 is decreasing is (- ∞, 1).

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

We know in an absolute value function y = |x - h| + k, the vertex is (h, k) and it changes its direction from here.

Given, f(x) = |4(x - 1)| + 2 has a vertex at (1, 2).

Therefore the interval where the function is continuously decreasing is

( - ∞, 1).

learn more about absolute value functions here :

https://brainly.com/question/13103168

#SPJ1