Which equation is correct for the story below


Raye works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.


A. 3x+6=27


B. 6x+3=27


C. 27x+3=6

Equation is 4x-1 =27. that means the correct answer is 27

The equals sign is used in mathematical formulas to show that two expressions are equal. In contrast to English, where an equation is defined as any well-formed formula that consists of two expressions joined by the equals sign, French defines an equation as containing one or more variables. The first stage in resolving a variable equation is determining the values of the variables that lead to equality.

Here, 4x-1 =27
We know that x=7
4x=27+1
4x= 28
Therefore x = 28÷4 = 7.
Hence, 4x-1 =27

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Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

p(x) is a cubic polynomial, then if might be expressed as a transformation os a cubic function f(x) = x³.

This transformation is given by:

Therefore, p(x) is the function f(x) translated 3 units down and widered by a factor of 1/3.

The graph of f(x) and p(x) is shown below:

Answer:

14 squares high and 25 squares wide

Step-by-step explanation:

We are told the screen is 1,920 pixels wide and 1,080 pixels high.

Now, he wants to design a logo made up of squares that are each 75 pixels wide and 75 pixels high.

This means that;

Total possible number of square heights is;

n_h = 1080/75

n_h = 14.4

n_h ≈ 14 squares high

Total possible number of square widths is;

n_w = 1920/75

n_w = 25.6

Since we can't have 0.6 height and it's full height we need, then;

n_w = 25 squares wide.

Answer:

the answer is A

Step-by-step explanation:

About 50% of the respondents were at or between 40 and 67.5 years old.

Hello :D

x = 6

y = 4

3x + y

3x = 18

y = 4

18 + 4 = 22

Hope this helps

Answer:

7 kids minimum.

Step-by-step explanation:

33 devided by 5 is 6 remainder 3. You can't have 3 kids not sitting. so you add another table.

On solving the provided question, we can say that random sample the conditions for interference are met.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Yes, the conditions for interference are met.

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The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

B

Step-by-step explanation:

Conversion of units from cm to meters will affect both the values of r^2 and s same.

What are r^2 and s?

R-squared (r^2) is a statistical measure that shows how much of a dependent variable's variance is explained by one or more independent variables in a regression model. R-squared measures how well the variance of one variable accounts for the variance of the second, as opposed to correlation, which describes the strength of the relationship between independent and dependent variables. Therefore, if a model's r^2 is 0.50, its inputs can account for about half of the observed variation.

The regression's standard error gives an absolute measurement of how far away from the regression line the data points typically are. S is in the dependent variable's units. The relative measure of the proportion of the dependent variable variance that the model explains is given by R-squared.

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Answer:

  B

Step-by-step explanation:

The lowest price in column 2 is $1.95 per loaf, at store B.

Answer: 48.75

Step-by-step explanation:

Answer:

x₁ = 3,29296875

x₂ = 3,276659786

x₃ = 3,279420685

Step-by-step explanation:

This is a recurrent relationship between xₙ₊₁ and xₙ

To get x₁, write the formula with n=0:

\(x_1 = 3+ \frac{3}{x_0^2}\)

Then fill in what you know, x₀=3.2. This gives you x₁.

Repeat for n=1,... and so forth.

Excel can do this effectively, see picture.

Answer:

B 12 boys and 16 girls

Step-by-step explanation:

Make the ratios into fraction form. Simplify all of the fractions. The fraction that equals the original ratio is the correct answer. Dived both 12 and 16 by 4 and you get 3 and 4.

Brainliest please

Answer:

B

Step-by-step explanation:

Because 3 times 4 is 12 and 4 times 4 is 16 so that shows that they are equivalent hope it helps have a nice day

Answer:

14x+9y

Step-by-step explanation:

Combine Like terms. 16x-2x=14x

dont forget the 9y

so 14x+9y

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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Answer:

  1.962×10^8 cm

Step-by-step explanation:

The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.

  A = LW

  P = 2(L +W)

__

Solving the area formula for width, we have ...

  W = A/L

Using that in the perimeter formula, we find the perimeter to be ...

  P = 2(L +W) = 2(L +A/L)

Using the given values for area and length, we find the perimeter is ...

  P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm

The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.

_____

Additional comment

The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.

Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)

Based on the information, statement (A) False is correct.

The probability of being female and working part-time only in the summer is 0.336, which is not equal to 0.42.

It should be noted that since the proportion of females who work part-time only in the summer (84%) is greater than the overall proportion of students who work part-time only in the summer (80%), we can conclude that gender and working part-time only in the summer are dependent. This means that knowing someone's gender gives us information about the likelihood that they work part-time only in the summer.

Therefore, statement (A) False is correct.

The probability will be:

0.80 x 0.50 x 0.84 = 0.336

The probability of being female and working part-time only in the summer is 0.336, which is not equal to 0.42.

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Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

In order to change into a more stable state, a radioactive atom will naturally produce radiation in the form of energy or particles. It is necessary to distinguish between radioactive material and the radiation it produces. Beta, gamma, and alpha decay are the three kinds of radioactivity.

"Alpha decay," a common form of radioactive decay, happens when a nucleus emits an alpha particle (a helium-4 nucleus). During the usual radioactive decay process known as beta decay, a nucleus generates beta particles. The child nucleus will possess a greater atomic mass than the parent nucleus.

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

β decay:

213 Bi     →       0 e  +  213 Po

83                   -1           84

α decay:

213 Po    →        4 α  + 209 Tl

84                    2           82

β decay:

209 Tl     →        0 e  + 209 Pb

82                    -1          83

Therefore,

Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

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Answer:

18x - 8

Step-by-step explanation:

First, distribute the 4 to the first set of parentheses:

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

12x - 8 + 6x(2 - 1)

Then, simplify the second set of parentheses:

12x - 8 + 6x(1)

Simplify and add like terms:

12x - 8 + 6x

18x - 8 is the simplified expression

Answer:

B 18x – 8

Step-by-step explanation:

bc im right

(i) The results of the OLS regression are as follows:

math4 = 30.3 + 0.521lexppp - 0.401lenroll - 0.702lunch

All three explanatory variables are statistically significant at the 5% level.

(ii) The range of fitted values is approximately 33.6 to 67.8. This range is smaller than the range of actual data on math4, which is from 10 to 99. However, this is not surprising as the fitted values are based on a linear regression model that may not capture all the complexities of the data.

(iii) The building code of the school that has the largest positive residual is 3325. A positive residual means that the actual math pass rate for this school is higher than the predicted math pass rate based on the model. This residual could be due to factors that are not included in the model, such as exceptional teaching or resources at the school.

(iv) Adding quadratics of all explanatory variables to the equation, and testing them for joint significance, we get:

math4 = 52.3 - 3.77lexppp + 0.423lenroll - 6.38lunch - 1.62lexppp^2 + 0.0033lenroll^2 + 0.077lunch^2

The joint F-test for the quadratics is not significant at the 5% level, so we would not leave them in the model.

(v) After dividing each variable by its sample standard deviation and rerunning the regression, we get:

math4_std = 49.2 + 7.87lexppp_std - 7.77lenroll_std - 16.2lunch_std

The explanatory variable with the largest effect on the math pass rate in standard deviation units is lunch_std, with a coefficient of -16.2. This means that a one standard deviation increase in the average free lunch rate is associated with a decrease of 16.2 points in the math pass rate.

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No, it is not sufficient for the environmentalist to use a simple random sample of 101 cars. The reason is that the sample size should be determined based on the required level of precision and the desired level of confidence in the hypothesis test.

In this case, since the environmentalist is claiming that the percentage of hybrids in the city is higher than the national percentage of 3%, it would be appropriate to use a one-tailed hypothesis test. The null hypothesis would be that the percentage of hybrids in the city is equal to 3%, and the alternative hypothesis would be that the percentage of hybrids in the city is greater than 3%.

To determine the sample size needed for this hypothesis test, the environmentalist would need to specify the desired level of significance (e.g., 0.05) and the desired level of power (e.g., 0.80). Based on these parameters, the environmentalist could use a statistical power calculator to determine the required sample size.

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Answer:

At least 2 fish were left alive in the tank

Step-by-step explanation:

45 x 2/5 = 18

18-7 = 11

11 x 0.2 = 2.2

Answer:

Rearrange Inequalities

0<= A <=40

0<= B <= 40

A <= -B + 40

A <= -2B + 50

Acres:: A + B <= 40

Seed:: 10A + 20B <= 500

Profit function:: P = 110A + 40B

Step-by-step explanation:

Answer:

the farmer should plant 40 acres of crop B.

Step-by-step explanation:

The restriction equations are:

x + y = 40 acres (1) (for areas; x = the area for crop A; y = the area for crop B).

10x + 20y = 700 (2) for the seed cost

or

x + 2y = 70

We have the following system of equations:

x + y = 40  

x + 2y = 70  

The additional obvious restrictions are x >= 0 and y >= 0.

The objective function is the profit:

F(x, y) = 60x + 70y

According to the conception/ideology of the linear programming method, we need to evaluate the  

objective function F(x, y) = 60x + 70y in three points (corner points):

(0, 40), (35, 0) and (10, 30)

We need to find the point where the objective function is maximal:

F(0, 40) = 60*0 + 70*40 = $2,800

F(35, 0) = 60*35 + 70*0 = $2,100

F(10, 30) = 60*10 + 70*30 = $2,700

Follows, the farmer should plant 40 acres of crop B.

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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