I need help with this one

Answer:

x = 100

Step-by-step explanation:

You have to use the equation 15x + 10 = 6x - 6 + 70. This equation finds out that x = 6. Then, you would multiply 6 by 15. This gets 90. Finally, add 10 to that.

Answer:

31.50 mm²

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =  1/2 x (sum of the lengths of the parallel sides) x height

1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²

Answer: A

Step-by-step explanation:

Answer:if u has a screen shot I whould add a better answer but 0.36 or any smaller number start with 0.

Step-by-step explanation:

Answer:

0.36 0.35 0.34 so on

Step-by-step explanation:

screenshot would help

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

Answer:

x = 117.8

Step-by-step explanation:

The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.

Taking the tan value of the listed angle :

tan 50° = x/99

1.19 = x/99

x = 1.19 × 99

x = 117.8 (nearest tenth)

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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Answer:

Well obviously, it’s zero

Step-by-step explanation:

If your freezer went up in temperature or down in temperature overtime, that would be an issue.

and we can also exclude undefined because it’s obviously would be defined because the question tells us all about the slope.

Answer:

26 2/3 inches

Step-by-step explanation:

P=4s

P= 4 × 6 2/3

P= 26 2/3 inches

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

The distance between the points P and Q in R^3 is 2√3.

To find the Euclidean distance between two points in R^3, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Let's calculate the distance between the points P = (1, 1, 1) and Q = (-1, -1, -1):

d = sqrt((-1 - 1)^2 + (-1 - 1)^2 + (-1 - 1)^2)

= sqrt((-2)^2 + (-2)^2 + (-2)^2)

= sqrt(4 + 4 + 4)

= sqrt(12)

= 2√3

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Answer: The first hour is free, and the rest charges is $2.50

Let x be the time.

Let y be the total

Your equation will look like

When x < 2, y = 0

When x > 1, y = $2.50(x)

So:

1 < x < ∞ for hours, then equation will look like:

y = total amount

$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.

$2.50x - $2.50 = y should be your equation.

hope this helps

Step-by-step explanation:

The linear programming relaxation of the given integer program is solved graphically, resulting in the optimal solution X_LP = (3, 0.75). The vectors obtained by rounding X_LP up, down, and scientifically (U, D, and S) are not necessarily feasible for the original integer program. Without further analysis, we cannot determine if any of these vectors are optimal. The original integer program is solved using exhaustive enumeration. The optimal solution obtained is not necessarily the same as any of the rounded solutions (U, D, or S).

(a) To solve the linear programming relaxation of the integer program, we can graph the feasible region and find the optimal solution. The feasible region is bounded by the constraints, and the objective function is maximized within this region. By graphical analysis, we determine that the optimal solution X_LP is (3, 0.75).

(b) When rounding X_LP up, down, or using scientific rounding, we obtain vectors U, D, and S, respectively. However, these rounded vectors may not satisfy the integer constraints of the original integer program. Therefore, they may not be feasible solutions for the original problem. Without further analysis, we cannot determine if any of these rounded vectors are optimal solutions for the original integer program.

(c) To solve the original integer program using exhaustive enumeration, we would need to evaluate the objective function for every feasible integer solution within the given constraints. This exhaustive process may reveal a different optimal solution than X_LP or any of the rounded solutions U, D, or S. Therefore, the optimal solution obtained through exhaustive enumeration may or may not coincide with any of the rounded solutions.

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The probability that three out of the five employees chosen will be women is approximately 0.36

The probability of three out of five randomly chosen employees being women, we can use the concept of combinations.

The total number of ways to choose five employees out of the 16 is given by the combination formula:

C(16, 5) = 16! / (5! × (16-5)!)

= 4368

Now, we need to calculate the number of ways to choose three women from the 8 available, multiplied by the number of ways to choose two men from the remaining 8 employees:

C(8, 3) × C(8, 2) = (8! / (3! × (8-3)!) × (8! / (2! × (8-2)!))

= 56 × 28

= 1568

Therefore, the probability of choosing three women and two men is:

P(3 women and 2 men) = 1568 / 4368 ≈ 0.359

So, the probability that three out of the five employees chosen will be women is approximately 0.36.

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The probability that z is greater than 1.75 is 0.9599. The correct answer is D.

To find the probability that a standard normal random variable Z is greater than 1.75, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, we look up the value 1.75 in the table to find the corresponding cumulative probability. The table provides the area under the standard normal curve up to a given z-score.

Looking up 1.75 in the table, we find that the cumulative probability is approximately 0.9599.

Therefore, the correct option is d. 0.9599, as it represents the probability that Z is greater than 1.75 in a standard normal distribution.

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According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.

We have,

If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.

This means,

If the radius increases, the height must decrease to compensate and keep the volume constant.

If the radius decreases, the height must increase to compensate and maintain the same volume.

This relationship is due to the formula for the volume of a cylinder, which involves both the radius and the height.

By adjusting one variable (radius) while keeping the volume constant, the other variable (height) must change accordingly to maintain the balance.

Thus,

If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.

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The probability that exactly 2 of the 5 customers are vegetarian is approximately 0.2837, or 28.37%.

The binomial distribution, which describes the likelihood of achieving a specific number of successes in a fixed number of independent trials with an identical likelihood of success, can be used to solve this problem.

With a success rate of p = 0.12 (because 12% of customers are vegetarian), let X represent the proportion of vegetarian consumers among the 5 people surveyed. Then, X has a binomial distribution with parameters n = 5 and p = 0.12.

P(X = 2) can be used to determine the probability that exactly 2 of the 5 customers are vegetarians.

The formula for the binomial probability mass function can be used to determine this:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where the binomial coefficient (n choose k) = n! / (k! * (n - k)!)! indicates the number of possible ways to select item k from a set of item n.

Substituting n = 5, p = 0.12, and k = 2, we get:

\(P(X = 2) = (5 choose 2) * 0.12^2 * (1 - 0.12)^(5 - 2)\)

= 0.2837 (rounded to four decimal places)

Therefore, the probability that exactly 2 of the 5 customers are vegetarian is approximately 0.2837, or 28.37%.

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Jangan Mencoba Menikamku Dari Benakmu

Answer:

17x+4=123(alternate angle)

17x=123-4

17x=119

x=7

We can see that since the values that multiply each component (x & y) are less than an unit, the transformation rule would be a reduction.

Answer:

+95

Step-by-step explanation:

anything above sea level is positive and anything below is negative

Answer:+ 95

Step-by-step explanation:

It’s above sea level

The percent less than $125 that $67 represents is approximately 46.4%.

The percentage difference between two values, we can use the formula:

Percentage Difference = ((Value1 - Value2) / Value1) * 100

In this case, Value1 is $125 and Value2 is $67. Let's plug these values into the formula:

Percentage Difference = (($125 - $67) / $125) * 100

Calculating the numerator first:

$125 - $67 = $58

Now, we can substitute the values into the formula again:

Percentage Difference = ($58 / $125) * 100

Dividing $58 by $125:

Percentage Difference = 0.464 * 100

The result is 46.4%.

The percentage by which $67 is less than $125, we first calculate the difference between the two values, which is $58. Then, we divide this difference by the original value ($125) and multiply by 100 to convert it into a percentage.

In this case, $67 is approximately 46.4% less than $125. This means that $67 represents only about 53.6% of the original value of $125, or that $67 is 46.4% lower than $125.

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The numeric value of the function g(x) = (x² - 6)/(3x + 10) at x = 4 is given as follows:

g(4) = 5/11.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

g(x) = (x² - 6)/(3x + 10)

The numeric value at x = 4 is found replacing each of the two instances of x by 4, hence:

g(4) = (4² - 6)/(3(4) + 10)

g(4) = 10/22

g(4) = 5/11.

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