Which number line shows the graph of the inequality x <
38
A.
B.
C.
-3
-3
+++
-2
-2
-2
-2
-1
-1
-1
-1
0
0
0
0
1
2
+++*+
1
2
++*++++++
2
3
2
3
3
3

In this problem, we have a binomial probability distribution

so

n=3

p=0.50

q=0.50

Find out P(X=2)

Working together, they can complete the task in 4 hours and 48 minutes.

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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Answer:

Step-by-step explanation:

We know that the temperature of the phosphorus rose by double its melting temperature. Mathematically, we can express this as:y = x + 2xSimplifying this equation, we get:y = 3xNow, we are given that the final temperature of the phosphorus, y, was 132°C. Substituting this value into our equation, we get:132 = 3xSolving for x, we get:x = 44Therefore, the melting point of the phosphorus is 44°C.

The equivalent expression of (−92j − 82k) − (−3.9j − 42.1k) in standard form is −88.1j − 39.9k.

To find the equivalent expression of (−92j − 82k) − (−3.9j − 42.1k) in standard form, we need to simplify the expression by combining like terms.

Expanding the parentheses, we have:

−92j − 82k + 3.9j + 42.1k

Now, let's group the like terms:

(−92j + 3.9j) + (−82k + 42.1k)

Simplifying each group of terms, we get:

−88.1j − 39.9k

In standard form, expressions are typically written with the constant term first, followed by the terms with variables in alphabetical order. In this case, we have no constant term, so the expression remains as −88.1j − 39.9k.

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Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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A is an n x n diagonal matrix with rank r , where rsn  and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r "  about A is true

Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.

For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.

Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.

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Answer:

$6.52

Step-by-step explanation:

The price of the hat would be $13.48 after the discount.

So the amount of change he would receive would be 20-13.48 which is $6.52

8,468 written in scientific notation is 8.47 x 10³.

Scientific notation is used to compress large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example:

• The number : 1 x 10² is equivalent to 100

• The number 1 x 10³ is equivalent to 1000

8,468 becomes 8.47 x 10³

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The dot product of v and u, we need to find the magnitude of each vector and the angle between them Therefore, the dot product of v and u is approximately -17.34.

Given two vectors, v and u, the dot product is a scalar value that can be found using the formula below:

v·u = |v||u| cos θ,

where v and u are two vectors and θ is the angle between them.

a. To find the dot product of v and u, we need to find the magnitude of each vector and the angle between them.v = ⟨-3, 5, 2⟩ and u = ⟨1, -2, 0⟩. |v| = √((-3)² + 5² + 2²) = √(34) |u| = √(1² + (-2)² + 0²) = √5

The angle between the two vectors can be found using the dot product formula and solving for cos θ:v·u = |v||u| cos θ⟨-3, 5, 2⟩·⟨1, -2, 0⟩ = √(34)√5 cos θ (-3)(1) + (5)(-2) + (2)(0) = √(34)√5 cos θ-3 - 10 = √(34)√5 cos θ-13 = √(34)√5 cos θcos θ = -13/(√(34)√5)cos θ ≈ -0.98

Now that we have the magnitude of both vectors and the angle between them, we can find the dot product: v·u = |v||u| cos θv·u = √(34)√5 (-0.98)v·u ≈ -17.34

Therefore, the dot product of v and u is approximately -17.34.

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The actual distance between City X and City Y is given by 48 miles.

Given that the scale of distance in the drawing is, ½ inch = 8 miles

So 1 inches = 8/(½) = 8*2 = 16 miles

The distance between City X and City Y in the drawing is = 3 inches,

So the actual distance between that two cities = 3*16 = 48 miles.

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Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer: C.

Step-by-step explanation: if you add 25.50 to every number it makes sense, since the decimal went from .25 to .75.

In the relation on 2Z (i.e., the is-a-subset-of relation defined on all sets of integers), the reflexive property in definition 14.7 is the only property that is possessed by the relation.

A relation is a connection or association between two or more things. In mathematics, it is a set of ordered pairs, for example (a, b), where a belongs to a set A and b belongs to a set B. It can also be interpreted as a function with a domain and a codomain.

The reflexive property in definition 14.The reflexive property in definition 14.7 states that for all a ε A, (a, a) ε R. The set R is known to be reflexive if and only if every element of the set is related to itself.

In simpler terms, a relation is reflexive if every element in the set is related to itself. In the relation on 2Z, the only property that is possessed by the relation is the reflexive property in definition 14.7.

Therefore, it can be concluded that the relation on 2Z is a reflexive relation.

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The correct answer is: "Both 36 and 38 are statistics."

In this scenario, 36 is the average practice per week for the population of Olympic gymnasts, which is an unknown parameter. 38, on the other hand, is the average practice per week observed in the random sample of 20 athletes, which is a statistic calculated from the sample data.

Statistics are values calculated from sample data and are used to estimate or infer population parameters. In this case, the average practice time of 38 hours is a statistic that provides an estimate of the population parameter, which is unknown.

If a different random sample of 20 athletes were selected, it is not guaranteed that the average practice per week in that sample would also be exactly 38 hours. There may be some variation in the sample means due to sampling variability.

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Answer:

for example, 4x, 5x2, 7x4. An expression having two terms is called a binomial, like, 11x + 2xy, or, 13y + x3. An expression having three terms is called a trinomial, like, 4x + x2 + 9x3.

Step-by-step explanation:

On solving the provided question we cans ay that - A rectangle in Euclidean plane geometry is a quadrilateral with four right angles\(2(8x + 4) = (24x - 8) = > 8x = 16 = > x = 2\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a four-sided polygon with four 90-degree angles. The form of a rectangle is two dimensional.

Both of the rectangle's diagonals are the same length.

Hence , FH=EG

as, diagonals bisect each other

So,\(2(JF)=EG\)

\(2(8x + 4) = (24x - 8)\\8x = 16 \\x = 2\)

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Answer:

8 cm

Step-by-step explanation:

24 ÷ 3

Answer:

\( \frac{3}{8} \)

Step-by-step explanation:

\( \frac{3}{4} \div 2 = \frac{3}{4} \div \frac{2}{1} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \)

To simplify by distribution you multiply the term outside the parenthesis by the terms inside the parenthesis:

Total earned for the warranties: 14 x 20 = 280

Subtract warranty amount from total:

1050-280 = 770

Divide by total TVs:

770/14 = 55

She earns $55 per tv.

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

2989.12

Step-by-step explanation:

238.00+232.50+54.88+236.00= 760.88

3750-760.88=2989.12

The more accurate method for calculating the total energy converted would be calculating the energy converted from the average power and total time.

To do this, follow these steps:

1. Determine the average power (in watts) during the given time period.
2. Calculate the total time (in seconds) of the conversion process.
3. Use the formula: Energy (in joules) = Average Power (in watts) x Total Time (in seconds).

This method provides a more accurate representation of the energy conversion as it takes into account the overall average power and time, rather than making multiple separate calculations and adding them together, which could result in potential discrepancies due to varying power levels throughout the process.

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Answer:

It just equals to 2

Step-by-step explanation:

Think of it as 2^1!

1.

The value of anything that has an exponent of 0 is always 1