What is the y-intercept of the graph below?

Answer:

see below

Step-by-step explanation:

Let's solve for x first. Since opposite sides of a parallelogram are congruent, 5x = 5 which means x = 1. Similarly, opposite angles of a parallelogram are congruent so m∠X = m∠V = 107°. Since ∠YWV and ∠XYW are alternate interior angles, that means that ∠XYW = 42°.

Answer: Part A C x G = X

Part B it represents the cost

Step-by-step explanation:

Answer:

9(10+5)

Step-by-step explanation:

because 10+5 is fifteen so then when you as them together you get the same expression as before

Answer:

9(10+5)

Step-by-step explanation:

because 10+5=15 and it's 9(15)

Answer:

12 ounces

Step-by-step explanation:

there is 16 ounces in 1 pound. so all you have to do is multiply the 3/4 times 16

or

4 oz = 1/4 lb  therefor, 12 oz =  3/4 lb

Therefore, Pump B will have a longer average cycle time compared to Pump A.

To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))

Given:

Arrival Rate = 0.2 car per minute

Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1

Utilization can be calculated as the product of the mean effective process time and the arrival rate:

Utilization = Mean Effective Process Time * Arrival Rate

For Pump A:

Mean Effective Process Time (A) = 4 minutes

Squared-Coefficient of Variation for Pump A = 0.5

Utilization (A) = 4 * 0.2 = 0.8

For Pump B:

Mean Effective Process Time (B) = 3 minutes

Squared-Coefficient of Variation for Pump B = 5

Utilization (B) = 3 * 0.2 = 0.6

Now, let's calculate the cycle time for each pump:

Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))

= 5 minutes

Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))

= 2.5 minutes

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The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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Answer:

Step-by-step explanation:

a. The shape of the boxplots can indicate the distribution of the data.

b. Overall, it is difficult to determine if the students performed better on the second midterm based solely on the boxplots.

c. The first exam has a larger difference between the mean and the median, indicating a more skewed distribution.

d. The second exam has a larger standard deviation of the scores, indicating more variability in the data.

a)The first midterm scores have a roughly symmetrical shape with no outliers, while the second midterm scores have a slightly skewed shape with one outlier.

b) While the median score for the second midterm is slightly higher, the presence of an outlier in the second midterm scores could indicate that some students did poorly on that exam.

c) For the first exam, the mean is larger than the median. This is because the mean is more affected by extreme values, and the presence of a few high scores can increase the mean even if most of the scores are lower.

d) This is consistent with the slightly skewed shape of the second midterm scores and the presence of an outlier. The first exam has a smaller standard deviation, indicating that the scores are more tightly clustered around the median.

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\( \bf\implies \: 18y \: - 12\)

\( \bf \implies15(y - 4) - 2(y - 9) + 5(y + 6)\) \(\bf \implies \: (15 \times y )+ (15 \times - 4 )- (2 \times y )+ ( - 2 \times - 9) + (5 \times y )+ (5 \times 6)\) \(\bf \implies (15y) + ( - 60) - (2y) + (18) + (5y) + (30)\) \(\bf \implies 15y - 60 - 2y + 18 + 5y + 30\) \(\bf \implies (15y - 2y + 5y) - (60 + 18 + 30)\) \(\bf \implies 18y - 12 \: \underline{ \red{Ans.}}\)

Answer:

m<8=150

m<3=150÷3=50

Answer:

320

Step-by-step explanation:

i hop it work

Answer:

1.36

Step-by-step explanation:

9.52/7

1.36 is the length of one of the 7 equal pieces

The total time taken by the ant to take cookie crumb from the kitchen table to an anthill is 83.33 minutes.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

An ant carries food at a speed of 1 cm/s.

The kitchen table to an anthill, a distance of 50 m.

We know the relation between speed and time.

Time=distance/speed.

Speed = 1 cm per second = 0.6 m per minute

Distance = 50 m

Then total time taken will be

=50/0.6

=83.33

Thus, the total time taken by the ant to take cookie crumb from the kitchen table to an anthill is 83.33 minutes.

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Answer:

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

\(A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\\)

Hence the required product matrix that represent X is;

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Answer:

£47.4

Step-by-step explanation:

£7.90 per hour

6 hours = £7.90 x 6 = £47.4

Ace Carlos

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

The surface area of the rectangular prism is 462 square feet.

Length, L = 10 ft

Width, W = 6 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(10×7 + 10×6 + 6×7)

= 2(70+60+42)

= 2(172)

= 344 square feet

Surface area of the missing prism:

Length, L = 5 ft

Width, W = 2 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(5×2 + 5×7 + 2×7)

= 2(10 + 35 + 14)

= 2(59)

= 118 square feet

Therefore, the surface area of the figure

= 344 square feet + 118 square feet

= 462 square feet

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The linear equations for the graph is obtained to be option D: y = x + 2 and y = -x - 4.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The graph of two lines are given.

For the first line going from top left corner to bottom right corner, the point of coordinates are (-5, 1) and (-3,-1).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[-1 - 1]/[-3 - (-5)]

(-2)/(2)

-1

So, the slope point is obtained as m = -1.

The equation becomes - y =-x + b

To find the value of b substitute the values of x and y in the equation -

-1 = -(-3) + b

-1 = 3 + b

b = -1 - 3

b = -4

So, the value for b is -4.

Now, the equation becomes -

y = -x - 4

Now, for the second line going from bottom left corner to top right corner, the point of coordinates are (-1, 1) and (-3,-1).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[-1 - 1]/[-3 - (-1)]

(-2)/(-2)

1

So, the slope point is obtained as m = 1.

The equation becomes - y = x + b

To find the value of b substitute the values of x and y in the equation -

-1 = (-3) + b

-1 = -3 + b

b = -1 + 3

b = 2

So, the value for b is 2.

Now, the equation becomes -

y = x + 2

Therefore, the two equations are y = -x - 4 and y = x + 2.

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Answer:

it would be about 3 ft I would say from where he hits the brake to the last place he is at

Step-by-step explanation:

it really depends wether it's raining or not caus if it's raining it would be close to 5 or 6 but if not than 2 to 3 feet

Answer:

The answer would be 6

The constants that have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Elimination Method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables

Both x term and y terms, choose x terms  and apply the elimination method

The coefficient of x in the first equation is 5 and 12 in the second equation

Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.

To make it the same

Prime factorization

Prime factorization is a process of writing all numbers as a product of primes.

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and the second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Eliminated x term

The constants that we have to multiply to eliminate one variable from the system are 12 and 5

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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Answer:

The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data.

Mode is less useful in a stem and leaf diagram since it doesn't directly highlight the most frequent value, it's more suited for showing data distribution and patterns.

In a stem and leaf diagram, the mode is not as useful as in other types of data representations like histograms or bar charts.

The primary purpose of the mode is to identify the most frequently occurring value in a dataset,

which can be easily seen in histograms or bar charts.

In a stem and leaf diagram, the data is organized in a way that directly displays the individual data points while preserving the original data values.

The mode is not explicitly highlighted in this representation, making it less efficient to identify the most frequent value(s) compared to other methods.

The stem and leaf diagram is more useful for showing the distribution of data, identifying patterns,

and giving an overall sense of the spread of data, but it doesn't provide a clear visual representation of the mode.

For mode identification, other graphical representations or simply listing the data with frequencies would be more appropriate.

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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The length of EF is approximately 13.4 units.

We are given that;

The measure HG= 9, IH= 12 and FG= 10

Now,

Using this theorem, we can set up an equation:

EF * (EF + 10) = 9 * 21

EF^2 + 10EF = 189

EF^2 + 10EF - 189 = 0

Solving for EF using the quadratic formula gives:

EF = (-10 ± sqrt(10^2 - 4 * 1 * (-189))) / (2 * 1)

EF ≈ 13.4 or EF ≈ -14.1

Since EF must be positive, we have:

EF ≈ 13.4

Therefore, by the given circle the answer will be 13.4 units.

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The circulation of F around C is -16. No, F is not equal to V f for some function f. The flux of F across C is -8. No, F is not equal to V x G for any vector field G.

(a) The circulation of F around C is -16.

Using Green's Theorem, we can write the circulation of F as the line integral around the boundary of D:

∮CF · dr = ∬D (∂Q/∂x - ∂P/∂y) dA

where P = 9x + 5y, Q = 2x - 7y, and dr = dx i + dy j.

Taking the partial derivatives, we get:

∂Q/∂x - ∂P/∂y = 2 - 9 = -7.

Thus, the circulation of F around C is:

∮CF · dr = ∬D -7 dA = -7(area of D) = -16.

(b) No, F is not equal to V f for some function f.

If F were equal to the gradient of some scalar function f, then the circulation of F around any closed path would be zero. However, we just calculated that the circulation of F around C is -16, which means F cannot be expressed as the gradient of any scalar function.

(c) The flux of F across C is -8.

Using Green's Theorem, we can write the flux of F across C as the line integral around the boundary of D:

∮CF · ds = ∬D (∂P/∂x + ∂Q/∂y) dA

Taking the partial derivatives, we get:

∂P/∂x + ∂Q/∂y = 9 - 7 = 2.

Thus, the flux of F across C is:

∮CF · ds = ∬D 2 dA = 2(area of D) = -8.

(d) No, F is not equal to V x G for any vector field G.

If F were equal to the curl of some vector field G, then the flux of F across any closed surface would be zero. However, we just calculated that the flux of F across C is -8, which means F cannot be expressed as the curl of any vector field.

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Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

Answer: -3/4

Step-by-step explanation: I'M SMART

There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.  

The number of the possible ways will be calculated by:

\(=2 ^{28}C_2+^{28}C_4\)

\(=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}\)

\(=756+28853\)

\(=21231\)

Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

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