Question
Solve the equation.

−2w=−9
w=

Answer:

I don't think so

Step-by-step explanation:

Answer:

The expected value of each warranty sold is $23.8.

Step-by-step explanation:

0.8% probability of the product failling.

If the product fails, the company will lose 400 - 27 = $373. So a net value of -373.

100 - 0.8 = 99.2% probability of the product not failling.

If the product does not fail, the company gains $27.

What is the company's expected value of each warranty sold?

We multiply each outcome by its probability.

0.008*(-373) + 0.992*27 = 23.8

The expected value of each warranty sold is $23.8.

Answer:

70.4%

Step-by-step explanation:

Assuming the test is the only graded assignment, and the remaining 80% of her grade is still at 73%, we can calculate Kayla's new overall grade as follows:

New overall grade = (0.80 x 73) + (0.20 x 60)

New overall grade = 58.4 + 12

New overall grade = 70.4

Therefore, Kayla's new overall grade is 70.4%

Answer:

70.4% or a C-.

Step-by-step explanation:

To calculate Kayla's new grade after taking the test, you need to first find out what percentage of her overall grade the test is worth. If the test is worth 20% of her grade, then the remaining 80% of her grade is based on other factors, such as homework, quizzes, and other tests.

To calculate Kayla's new grade, you can use the following formula:

New grade = (Current grade x Weight of current assignments) + (Grade on test x Weight of test)

Plugging in the numbers given in the problem, we get:

New grade = (0.73 x 0.80) + (0.60 x 0.20)

New grade = 0.584 + 0.12

New grade = 0.704

Therefore, Kayla's new grade after taking the test would be approximately 70.4%, or a C-.

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

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Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

Answer:

a.

The growth rate (k) can be calculated using the exponential growth formula: P = P0 * e^(kt), where P0 is the initial population, t is the time in years, and e is the natural logarithm base.

From the information provided, the initial population of elves in 2000 was 23, and in 2003, the population was 34. By substituting the values into the formula and solving for k, we get:

34 = 23 * e^(k * 3)

Taking the natural logarithm of both sides:

ln(34) = ln(23 * e^(k * 3))

Using the logarithmic identity:

ln(34) = ln(23) + ln(e^(k * 3))

Solving for k:

k = (ln(34) - ln(23)) / (3) = 0.175

Therefore, the growth rate (k) for the population of elves is 0.175.

b.

To find the population of elves in 2020, we can use the exponential growth formula:

P = P0 * e^(kt)

Substituting the initial population of elves in 2000, which was 23, and the growth rate (k), which we found to be 0.175, we get:

P = 23 * e^(0.175 * 20)

Calculating the exponential function:

P = 23 * e^3.5

Therefore, there will be approximately 51 elves in 2020.

c.

To find the year when there will be 543 elves, we can use the exponential growth formula and solve for t:

543 = 23 * e^(0.175 * t)

Dividing both sides by 23 and taking the natural logarithm of both sides:

ln(543/23) = 0.175 * t

Solving for t:

t = (ln(543/23)) / 0.175

Therefore, there will be 543 elves in the year 2027.

i am not sure

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

E: None of the above.

Step-by-step explanation:

14/40 is 35%, which is 0.35.

\( \sqrt{147} \\ = \sqrt{3 \times 7 \times 7} \\ = 7 \sqrt{3} \)

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

The range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

Step-by-step explanation:

Triangle Inequality Theorem

The measure of any side of a triangle must be less than the sum of the measures of the other two sides.

Given:

Taking AB to be the longest side of the triangle.

The measure of AB must be less than the sum of AC and BC:

⇒ AB < AC + BC

⇒ 22.2 < AC + 9.9

⇒ 22.2 - 9.9 < AC

⇒ 12.3 < AC

⇒ AC > 12.3 ft

Taking AC to be the longest side of the triangle.

The measure of AC must be less than the sum of AB and BC:

⇒ AC < AB + BC

⇒ AC < 22.2 + 9.9

⇒ AC < 32.1 ft

Therefore, the range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

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9514 1404 393

Answer:

  29

Step-by-step explanation:

Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...

  wins + losses = 40

  w + (w-18) = 40

  2w = 58

  w = 29

The Rangers won 29 games.

Answer:

Total = principal * (1 + rate / compounding periods ) ^ years * compounding periods

Total = (1,000 * (1 + .09 / 2)^2*2)

Total = (1,000 * (1.045)^4

Total = (1,000 * 1.1925186006)

Total = 1,192.52

Source: http://www.1728.org/compint3.htm

Step-by-step explanation:

Answer:

The answer is (C) 6,000

Step-by-step explanation:

Hope it Helps!! :)

y = 3x + 2

y = 3 × 5 + 2

y = 15 + 2

y = 17

hope it helps!

Answer:

Step-by-step explanation:

Let us solve the equation for X-

-1+log 6 (2x+3)-log 6 (2x)=0

adding +1 to both sides-

-1+1+log 6(2x+3)-log 6 (2x)=0+1

log 6(2x+3)-log 6 (2x)=1 . . . (1)

using logarithmic rule,

log a - log b= log(a/b)

equation (1) becomes,

log [6(2x+3)/6(2x)]=1 . . .(2)

equation (2) becomes,

log[(2x+3)/2x]=1....(3)

Again using the logarithmic rule,

log a = b

is equivalent to 10∧b = a

hence equation 3 becomes,

10∧1= (2x+3)/2x

i.e. 10 = (2x+3)/2x. . .(4)

multiplying both sides by 2x, considering x is not 0.

equation( 4) becomes

20x = 2x+3. . .(5)

subtracting 2x from both sides

equation (5) becomes,

18x=3

dividing both sides by 3,

we get,

x=6

Hence value of x is 6.

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The true mean level of radon exposure in tombs in the region is

Upper limit: 4190.99;

Lower Limit: 2747.01

What is Assumed mean?

The assumed mean approach in statistics is used to determine the mean or arithmetic mean of a set of grouped data. This approach is advised over a direct method for determining the mean if the input data is huge. This technique aids in minimizing calculations and generates tiny numerical values. This approach relies on guessing the mean and rounding to a convenient result. Once more, this amount is deducted from each sample value. The calculations are carried out after selecting a central class and dividing the data into equal-sized ranges or class intervals.

Assumed Mean Formula:

Let f1, f2, f3,..., fn be the corresponding frequencies and x1, x2, x3,..., xn be the midpoints or class marks of n class intervals. The assumed mean method's formula is as follows:

\(\bar{x}=a+\frac{\sum f_i d_i}{\sum f_i}\)

In the given question:

\(\begin{aligned}&n=12 \\&\bar{x}=3469 \\&5=1135\end{aligned}\)

The 95% confidence interval for mean:

\(\begin{aligned}&\left(\bar{x} \pm t_{\alpha / 2, n-1} \frac{5}{\sqrt{n}}\right) \\\Rightarrow &\left(3469 \pm(2.2010) \frac{1135}{\sqrt{12}}\right) \\\Rightarrow &(3469 \pm(2.2010) 328.03) \\\Rightarrow &(3469 \pm 721.99) \\\Rightarrow &(2747.01,4190.99)\end{aligned}\)

The 95% confidence interval for mean:

Upper limit: 4190.99;

Lower Limit: 2747.01

Hence, for a given interval, we can conclude that the true mean lies beth 2747.01 & 4190.99. with 95% C.I.

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The public increased the amount of currency it held and that banks increased the reserve-deposit ratio is $0.66 million.

Now, According to the question:

December 1921

-Currency held by public: $4.59

-Reserve Deposit ratio: 0.095

-Bank reserves: $3.11

-Money supply: $37.3

December 1932

-Currency held by public: $4.82

-Reserve Deposit ratio: 0.109

-Bank reserves: $3.18

-Money supply: $34.0

We know that:

Bank deposits = (Bank reserves)/(Desired reserve-deposit ratio).

The Fed injected $0.30 billion (the public held $0.23 billion as currency and reserves increased by $0.07 billion was held as reserves). However, the money supply still fell by $3.3 billion.

It would have taken an additional 0.109 × $3.3 billion = $0.36 billion in reserves to support $3.3 in additional deposits.

So the answer is $0.30 billion + $0.36 billion = $0.66 billion.

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The given question is incomplete, complete question is :

Based on the information in the table, what quantity of reserves would the Federal Reserve have had to inject into the economy in 1932 to prevent the money supply from falling, given that the public increased the amount of currency it held and that banks increased the reserve-deposit ratio?

December 1921

-Currency held by public: $4.59

-Reserve Deposit ratio: 0.095

-Bank reserves: $3.11

-Money supply: $37.3

December 1932

-Currency held by public: $4.82

-Reserve Deposit ratio: 0.109

-Bank reserves: $3.18

-Money supply: $34.0

The dot plot shows a left-skewed distribution with a mode of 5 and a median of 5, indicating that most though not all reviews give the product a score of 5 out of 5. The frequency of reviews with a score of 5 is higher than the frequency of reviews with a score of 4 or lower.

This indicates that the majority of customers have given the product a good rating. The left-skewed distribution also suggests that there are some customers who are more likely to give the product a higher rating than others. The dot plot is useful for understanding the overall sentiment of reviews and helps the company gain insight into how their product is viewed by customers. The median of 5 further emphasizes this, as it is not impacted by the outlier scores, whereas the mean would be. Therefore, we can conclude that most customers who have purchased and reviewed this product have given it a score of 5 out of 5.

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Answer:

Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.

Step-by-step explanation:

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

The rectangular coordinates for the given point are.

x = cos(60°) = 1/2

y = sin(60°) = √3/2

For a polar point (R, θ), the rectangular coordinates are:

x = R*cos(θ)

y = R*sin(θ)

Here we have the unit circle, so R = 1.

And we can see that θ = 60°

Then the coordinates are:

x = cos(60°) = 1/2

y = sin(60°) = √3/2

These are the coordinates.

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