Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid

Answer:

7A, 8D

Step-by-step explanation:

The compound interest formula is as followed

\(A = P(1+\frac{r}{n} )^{nt}\\\)

A = accumulated amount

P = principle

r = interest rate

n = compounding

t = time

The accumulated amount is represented by f(x).

The principle is the amount of money you start with. In this case Tommy starts with 2000 dollars. P = 2000

The interest rate is 5%. This needs to be converted into a decimal.

5% = 0.05 = r

The money is compounded annually, thus n = 1.

The time is represented by x. x = t.

thus

\(f(x) = 2000(1+0.05)^{x}\)

After six years, you simply find f(6), or substitute 6 into x.

f(6) = 2000(1.05)^6 = $2,680.19

We are 98% confident that the true mean speed of cars traveling on Interstate 1-5 falls within the interval of (74.711, 82.717) miles per hour.

Sample mean (X): Mean of the given speeds = (76 + 76 + 80 + 68 + 76 + 78 + 83 + 87 + 79 + 85 + 76 + 81 + 79 + 82) / 14 = 78.714 mph

Sample standard deviation (s): Standard deviation of the given speeds ≈ 5.685 mph

Sample size (n): Number of speeds = 14

B) Margin of error (m):

To calculate the margin of error, we need to determine the critical value for a 98% confidence level and the standard error of the mean. The critical value can be obtained from the t-distribution with n-1 degrees of freedom.

For a 98% confidence level, the critical value with n-1 = 13 degrees of freedom is approximately 2.650.

The standard error of the mean (SE) is calculated as s / sqrt(n).

Using the given values, we have:

Standard error of the mean (SE) ≈ 5.685 / sqrt(14) ≈ 1.518

The margin of error (m) is then obtained by multiplying the critical value by the standard error:

Margin of error (m) ≈ 2.650 * 1.518 ≈ 4.003

Confidence interval:

To construct a 98% confidence interval, we use the formula:

Confidence interval = X ± m

Substituting the values, we get:

Confidence interval = 78.714 ± 4.003

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Answer:

180 feet

Step-by-step explanation:

85+95=180 because depth + depth.

The total deep 180 feet from the surface was the coral.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.

The total deep from the surface was the coral.

Therefore, it could be;

depth + depth.

85 + 95 = 180

Hence, the total deep 180 feet from the surface was the coral.

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The specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

For a two-tailed hypothesis test, an appropriate null hypothesis indicating that the population correlation is equal to zero would be:

H₀: ρ = 0

where ρ represents the population correlation coefficient.

This null hypothesis states that there is no significant correlation between the two variables being analyzed.

In a two-tailed hypothesis test, the alternative hypothesis would be that there is a significant correlation, either positive or negative, between the two variables:

Hₐ: ρ ≠ 0

This alternative hypothesis states that there is a significant correlation between the two variables, but does not specify the direction of the correlation.

It's important to note that the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

Additionally, the choice of null and alternative hypotheses will affect the statistical power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.

Hence, the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

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Complete Question:

For a two-tailed hypothesis test, which of the following would be an appropriate null hypothesis indicating that the population correlation is equal to o?

A. H₀: 1 = 2, B. H₀ : M₁ = M₂ C. H₀: O = 0  

D. None of the options above are correct.

Answer:

La respuesta es 25.49

Step-by-step explanation:

Se siguen la jerarquia de las operaciones .

Primero se efectuan las potencias y luego las suma

5^2+0.7^2

25+0.49=25.49

The shortest distance from the origin to the curve x2 + xy + y2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).

We have to find the shortest and longest distances from the origin to the curve x^2 + xy + y^2 = 3. This can be done using the Lagrange multiplier technique.

Given, x^2 + xy + y^2 = 3.

We have to minimize and maximize the distance of the origin from the given curve. The distance of the origin from the point (x, y) is given by √(x²+y²).

Therefore, we have to minimize and maximize the function f(x, y) = √(x²+y²) subject to the constraint x^2 + xy + y^2 = 3.

Now, we have to form the Lagrange function.

L(x, y, λ) = f(x, y) + λ(g(x, y))

where, g(x, y) = x2 + xy + y2 - 3L(x, y, λ) = √(x²+y²) + λ(x2 + xy + y2 - 3)

Now, we have to find the partial derivatives of L with respect to x, y, and λ.

∂L/∂x = x/√(x²+y²) + 2λx+y = 0 ............. (1)

∂L/∂y = y/√(x²+y²) + λx+2λy = 0 ............. (2)

∂L/∂λ = x² + xy + y² - 3 = 0 ............. (3)

Solving equations (1) and (2), we get x/√(x²+y²) = 2y/x.

Since x and y cannot be equal to 0 simultaneously, we can say that x/y = ±2.

Substituting x = ±2y in equation (3), we get y²(5±2√7) = 9.

Now, we can solve for x and y to get the values of (x, y) at which the minimum and maximum value of the distance of the origin occurs.

Using x = 2y, we get y²(5+2√7) = 9 ⇒ y = ±3/√(5+2√7)

Using x = -2y, we get y²(5-2√7) = 9 ⇒ y = ±3/√(5-2√7)

Therefore, the four points at which the distance is minimum and maximum are {(2/√(5+2√7), 1/√(5+2√7)), (-2/√(5+2√7), -1/√(5+2√7)), (2/√(5-2√7), -1/√(5-2√7)), (-2/√(5-2√7), 1/√(5-2√7))}.

To find the minimum and maximum distances, we can substitute these points in f(x, y) = √(x²+y²).

After substituting, we get the minimum distance as √(6-2√7) and the maximum distance as √(6+2√7).

Therefore, the shortest distance from the origin to the curve x^2 + xy + y^2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).

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Answer:

3

Step-by-step explanation:

15*13=195

10.5*3=31.5

195+31.5=226.50

Answer:

42 students

Step-by-step explanation:

1.) If 42% of students or 42 out of 100 students said they could text blindfolded it means 42 out of the 100 students surveyed can text blindfolded.

A percentage is out of 100

All points belonging to any closed set in R2 are limit points of that set.

A limit point is a point in a metric space that can be approached arbitrarily closely by points of a sequence or a set. The definition is different from that of an isolated point, which has an open ball around it that does not include any other points of the set.

According to the definition of a limit point, every point in every open set in R2 is a limit point of the set. This is because there is always at least one other point in the open set that is within a specified distance of the point in question.

As a result, every point in every open set in R2 is a limit point of the set. We can answer the same question for closed sets in R2. A closed set in R2 contains all of its limit points. A closed set, by definition, includes its boundary.

As a result, every point in every closed set in R2 is a limit point of the set.

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The solution to the equation\(4^5 - 3x - \frac{1}{256 }\)is x = 128.

To solve the equation \(4^5 - 3x - \frac{1}{256}\) = 0, we need to isolate the variable x. We start by simplifying the expression \(4^5\), which is equal to 1024.

The equation then becomes 1024 - 3x - \(\frac{1}{256}\) = 0.

To eliminate the fraction, we can multiply the entire equation by 256, resulting in 256(1024) - 256(3x) - 1 = 0.

This simplifies to 262,144 - 768x - 1 = 0.

Combining like terms, we have -768x + 262,143 = 0. To isolate x, we subtract 262,143 from both sides, giving us -768x = -262,143.

Finally, we solve for x by dividing both sides by -768, yielding x = 128.

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Answer:

C. 4

Step-by-step explanation:

We must find the pattern in the numbers. First, we can look at 2 and 8. This set of numbers has a pattern of multiplying by 4. Then, we look at 7 and 28. This also has a pattern of multiplying by 4. Since both have a pattern of multiplying by 4, C would be the answer here.

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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A complete graph is one in which there is an edge connecting every vertex to every other vertex. In order to determine for what values of n a complete graph with n vertices has an Euler circuit and a Hamiltonian circuit, let's discuss the definitions and requirements of each type of circuit.

1. Euler Circuit: An Euler circuit is a path that traverses each edge of a graph exactly once and returns to its starting vertex. For a graph to have an Euler circuit, all vertices must have an even degree (number of edges connected to the vertex).

2. Hamiltonian Circuit: A Hamiltonian circuit is a path that visits every vertex in a graph exactly once and returns to its starting vertex. A complete graph always has a Hamiltonian circuit, regardless of the number of vertices.

Now, let's determine for what values of n a complete graph has an Euler circuit:

In a complete graph with n vertices, each vertex is connected to every other vertex, which means the degree of each vertex is (n-1). For a complete graph to have an Euler circuit, all vertices must have an even degree. This implies that (n-1) must be even, so n must be odd.

So, for a complete graph with n vertices to have an Euler circuit, n must be an odd number.

In summary:
- A complete graph with n vertices always has a Hamiltonian circuit.
- A complete graph with n vertices has an Euler circuit if n is an odd number.

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A study shows that 57% of large corporations drug test potential employees. If a random sample of 230 large corporations is chosen, the probability that less than 63% of large corporations drug test potential employees can be calculated as follows:

First, we find the mean (μ) of the population,

μ = p = 57%

= 0.57

Then we find the standard deviation (σ),

σ = sqrt [ (p * q) / n ]σ

= sqrt [ (0.57 * 0.43) / 230 ]σ

= sqrt (0.000572)σ

= 0.0239

To find the probability that less than 63% of large corporations drug test potential employees, we need to find the z-score.

z = (x - μ) / σz

= (0.63 - 0.57) / 0.0239z

= 2.51

Using a z-table, the probability of z being less than 2.51 is 0.9930. We can do this by subtracting 0.9930 from 1.0, which gives 0.0070. The correct option is a. 0.0330.

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The Standard Normal Table is a tool that is used to calculate probabilities associated with the standard normal distribution.

When using the Standard Normal Table, we can find the area to the left of z < -2.34 by first locating the value -2.3 in the left-hand column of the table and the value -0.04 in the top row of the table.

Then, we find the intersection of the row and column to locate the corresponding value of 0.0099. This value represents the area to the left of -2.3 on the standard normal distribution.

To find the area to the left of -2.34, we need to adjust the value by subtracting the area to the left of -2.34 from the area to the left of -2.3.

The standard normal distribution is symmetric around the mean of 0. It means the area to the right of -2.3 is the same as the area to the left of 2.3.

Therefore, the area to the left of z < -2.34 is the area to the left of -2.3 (0.0099) minus the area between -2.34 and -2.3 (0.0040), which equals 0.0059. So, the area to the left of z < -2.34 is 0.0059.

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PESTLE framework is a tool used for analyzing an organization's macro-environment. The six main types of environmental factors are Political, Economic, Sociocultural, Technological, Legal, and Environmental.

True Economic forces are one of the types of influences analyzed in the PESTLE framework. False An organization's strength is not part of the types studied in the PESTLE framework. True The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company.

PESTLE framework is a tool used for analyzing an organization's macro-environment. It categorizes environmental influences into six main types that include Political, Economic, Sociocultural, Technological, Legal, and Environmental. The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company. The PESTLE framework can be used in conjunction with other tools, such as SWOT analysis, to gain a deeper understanding of an organization's position in the market.

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Answer is

7 +g

Step-by-step explanation:

2+5+g

=7+g

Answer:

g+7

Step-by-step explanation:

Have an amazing day!

If the point D is located at (3,-3) on the coordinate plane and the point D is reflected over the x-axis to create point D', then the ordered pair describes  the location of D' is (3,3)

The coordinates of the point = (3,-3)

Then the point D is reflected over the x-axis to create the point D'

The point the point is reflected over the x axis, the coordinates of the points will become

A(x,y) = A'(x,-y)

Here the coordinates of the point D is (3,-3)

So, when its reflected over the x-axis to create the Point D'

D(3,-3) = D'(3,3)

Hence, if the point D is located at (3,-3) on the coordinate plane and the point D is reflected over the x-axis to create point D', then the ordered pair describes  the location of D' is (3,3)

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Answer:

95% decrease

Step-by-step explanation:

Subtract starting value minus final value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent decrease

If the percentage is negative, it means there was an increase and not an decrease.

Answer:

(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)

Step-by-step explanation:

commutative property of multiplication

abc = acb

We can change the order in which the multiplication is done

(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)

The example of the commutative property of multiplication can be seen in option (B) (8+6i)(7-9i) = (7-9i)(8+6i).

The commutative property of multiplication states that changing the factor's order does not change the answer.

Let's consider the first equation,

(8+6i) = (6i+8)

Here commutative property of addition is used.

So, this option is incorrect.

The given second equation is,

(8+6i)(7-9i) = (7-9i)(8+6i)

In the above equation, the commutative property of multiplication is used.

So, this option is correct.

Hence, option (B) (8+6i)(7-9i) = (7-9i)(8+6i) is the correct answer.

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The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

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x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

Answer:

8, -8

Step-by-step explanation:

There are 2 answers for the solution because x² = 64 can equal 8, and -8. It can equal 8 because 8 x 8 = 64. It can also equal -8 because -8 x -8 is a positive 64.

Answer:

0

Step-by-step explanation:

It is a horizontal line.

Answer:

undefined

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (-9 -10)/(-9 - -9)

   = -19/ (-9+9)

   = -19/0

We cannot divide by zero so the slope is undefined

Answer: Daisies, Lilies, Roses & Gardenias

Step-by-step explanation:

The difference between their ages is obtained as 35/12.

Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.

Age of Marcelle  = 15 1/2 or 31/2 years

Age of Megan  = 12 7/12 or 151/12 years

The difference between their ages is;

31/2 - 151/12

=186 - 151/12

=35/12

There ages would have a difference of 35/12.

In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.

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Missing parts;

Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.

Given data:

The first length given is YZ =76.

The second length given is JK =12.

The third length given is XY=68.

The JL length is,

The XZ length is,

The LZ length is,

Thus, JL=38, XZ=24, and LZ=12.