Find the surface area of the prism.

Answer:

Explanation:

George initially has $43 and each week he add $5, so after w weeks he will have $5 times w plus the initial $43. Therefore, the equation that represent the total amount of money is

t = 43 + 5w

Where w is the number of weeks.

Answer:

No, Because it has 2 endpoints lines travel forever in both directions

Step-by-step explanation:

Answer:

D. No, it has two end points.

Step-by-step explanation:

A line is something that extends indefinitely in one or both directions.

Answer:

i am so sorry if its wrong

Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.

 A = 4×(1/2)×b×h

 A = 2×(8 cm)×(6.9 cm)

 A = 110.4 cm²Step-by-step explanation:

9514 1404 393

Answer:

  a, c

Step-by-step explanation:

There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.

The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.

In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).

The function is negative on intervals (a) and (c).

The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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Answer:

angle B is 135 degrees and angle c is 45 degrees

\(A =\left[\begin{array}{ccc}3&0\\-2&1\\\end{array}\right]\) , \(B =\left[\begin{array}{ccc}-2&0\\2&0\\\end{array}\right]\) so that A,B are non-invertible matrices and  A+B is invertible.

An invertible matrix is a matrix in given square matrix A of order n × n is called invertible if there exists another n × n square matrix B such that, AB = BA = Iₙ, where Iₙ is an identity matrix of order n × n.

A non-invertible matrix is a matrix that does not have an inverse, i.e. non-invertible matrices do not satisfy the requisite condition to be invertible.

We have to find non-invertible matrices A,B such that A+B is invertible

so, A =\(\left[\begin{array}{ccc}3&0\\-2&1\\\end{array}\right]\)

and B =\(\left[\begin{array}{ccc}-2&0\\2&0\\\end{array}\right]\)

AB = \(\left[\begin{array}{ccc}-6&0\\6&0\\\end{array}\right]\)  

Therefore A and B matrix are non- invertible

A + B = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\)

A square matrix in which every element except the principal diagonal elements is zero is called a Diagonal Matrix.

so, A,B neither is a diagonal matrix and A,B are not scalar multiples of each other.

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Projects that adopt agile methodology are not prone to the typical rapid changes that occur throughout the system development lifecycle, The statement is False.

The methodology is defined as to the overarching strategy and rationale of your research project.

It involves studying the methods used in your field and the theories or principles behind them, in order to develop an approach that matches your objectives.

Agile project management methodology is commonly used for software development projects. It has greater adaptability to frequently changing scopes. Adopt Agile because they want to increase speed to market, meet customer demand, or increase team productivity.

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Answer:

4, -4, 36

Step-by-step explanation:

a) a*2 = -2*-2 = 4

b) a^2 = -2^2 = -4

c) a*3^2= 3*-2^2 = -36

Part A: The measures of center in Mountain View School, mean = 4.75, median = 4.5 and Bay Side School, mean = 5.5, median = 4.5

Part B: The measures of variability: Mountain View School, Range= 9 IQR= 4,  Bay Side School, Range= 10 IQR= 3

Part C: Bay Side School would be the better choice.

Part A: Measures of Center

To calculate the measures of center, we will determine the mean and median for each school.

Mountain View School:

Mean = (0 + 5 + 6 + 8 + 9 + 8 + 2 + 0) / 8 = 38 / 8 = 4.75

Median = (4 + 5) / 2 = 4.5

Bay Side School:

Mean = (10 + 2 + 4 + 5 + 6 + 8 + 8 + 7 + 6 + 5 + 5 + 4 + 4 + 3 + 1 + 0) / 16 = 88 / 16 = 5.5

Median = (4 + 5) / 2 = 4.5

Part B: Measures of Variability

To calculate the measures of variability, we will determine the range and interquartile range (IQR) for each school.

Mountain View School:

Range = 9 - 0 = 9

IQR = (6 - 2) = 4

Bay Side School:

Range = 10 - 0 = 10

IQR = (6 - 3) = 3

Part C: Choice based on Class Size

If you are interested in a larger class size, Bay Side School would be the better choice. The mean class size at Bay Side School is 5.5, while at Mountain View School it is 4.75. The range of class sizes at Bay Side School is also larger (10) compared to Mountain View School (9). This indicates that there is a greater variation in class sizes at Bay Side School, providing a higher likelihood of finding larger class sizes. However, it's important to consider other factors such as teaching quality, resources, and overall educational environment before making a final decision.

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Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

The time it would take any deposit to increase by 70% is 12 years.

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

t = In (1.7) / In(1.045)

t = 12 years

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Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

the answer is 33 because 3+3=6*10-35+2

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

a. 31 total trees

b. Least common range is 85-90

Step-by-step explanation:

A. On the side of the chart it is labeled frequency. That is where you will find the number of tree per height range. The tops of the bars indicate the number is directly across.
B. Looking at the lowest bar or the smallest amount of trees indicate the lowest range or the least common range.

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

Step-by-step explanation:

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

25

Step-by-step explanation:

So, we have (t - 6)^2 and we know t = 11

We can substitute t for 11 into the equation so that becomes:

(11 - 6)^2

Then, we use PEMDAS so we basically do what is inside the parenthesis first

11 - 6 = 5

now we have (5)^2 or in other words, 5 to the second power

This means we multiply 5 by itself so 5 x 5 = 25

Answer:

(11-6)2

=(5)2

=25

you just had to replace t with 11 in order to get your answer

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

the answer is 1/27. C :))

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The number of nails that Paul used to build the shelves would be = 795 nails.

At first, the total number of small bookshelves he built = 2 small bookshelves.

The total number of large bookshelves = 9

The total number of nails he used = 525 nails

Later, the total number of small bookshelves = 2

The total number of large bookshelves = 4

The total number of nails = 270

Therefore the total number of nails for both occasions = 525+270 = 795 nails.

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