What is the length of line segment BC, if the length of line segment DC is 15?

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Answer:

5

Step-by-step explanation:

because that is the correct answer

4 divided by 0.8 is equal to 5.

To divide 4 by 0.8 using place value, you can follow these way

Convert the decimal divisor, 0.8, into a whole number by multiplying both the tip and the divisor by a power of 10.

Since there's only one decimal place in0.8, you can multiply both figures by 10 to exclude the decimal

0.4 x  10 = 40( multiplying the tip by 10)

0.8 x 10 = 8( multiplying the divisor by 10)

Now we've the division problem as 40 divided by 8.

Divide the converted tip by the converted divisor

= 40 ÷ 8

= 5

Thus, 4 divided by 0.8 is equal to 5.

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The conditions of the alternating series test are satisfied, and the series converges.

To determine the convergence or divergence of the series x[infinity] n=1 ((-1)^(n-1) √n/n^4), we can apply the alternating series test.

The alternating series test states that if a series has the form (-1)^(n-1) b_n or (-1)^n b_n, where b_n is a positive sequence that approaches zero as n approaches infinity, then the series converges.

In our given series, we have (-1)^(n-1) √n/n^4.

First, we can observe that the sequence b_n = √n/n^4 is a positive sequence, as both √n and n^4 are positive for all n > 0.

Next, we need to check if b_n approaches zero as n approaches infinity. Since b_n = √n/n^4, we can simplify it as 1/n^(3/2). As n approaches infinity, 1/n^(3/2) approaches zero.

Therefore, the conditions of the alternating series test are satisfied, and the series converges.

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Answer:

one solution

Step-by-step explanation

combine like terms

Answer:

one solution, x = -1

Step-by-step explanation:

11x-2+15=8+7+9x

=> 11x-9x=15-17

=> 2x=-2

=> x=-1

The measurement of body temperature is a variable that makes use of numerical data.

Quantitative data refers to information that is expressed quantitatively, such as measurements or statistics. Body temperature is a variable that makes use of numerical data. A is used to record the precise temperature in degrees Fahrenheit or Celsius while keeping track of body . Quantitative data's precise number enables study and comparison with other temperature values. In the medical field, this kind of data is used to make judgements and choices, as when to check for fever or track a patient's progress. Monitoring local environmental changes, such as changes in ocean or air temperature, also makes use of quantitative data. Quantitative information is crucial.

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

For First Question i had answered

The attachment is the answer

Step-by-step explanation:

For question 1 i am not sure

Hope It Helps!!!

The present value of $25,000 to be received in 5 years if the discount rate is 4% will be $20,555. The formula for calculating the future value of money (FV) is:

FV = PV x (1 + i)ⁿ where PV = present value, i = interest rate (in decimals) and,n = number of years.So, we need to calculate the future value of the deposit after 4 years, given the present value (PV) as $20,000 and interest rate (i) as 1.4%.

FV = $20,000 x (1 + 1.4%)⁴

FV = $20,000 x 1.014⁴

FV = $22,574.49.

Therefore, the future value of the deposit will be $22,574.49 after 4 years. Rounding it to the nearest whole number, the amount will be $22,574.2.

The formula for calculating the present value of money (PV) is:

PV = FV / (1 + i)ⁿ where FV = future value, i = interest rate (in decimals) and, n = number of years.So, we need to calculate the present value of $25,000 to be received in 5 years, given the interest rate (i) as 4%.

PV = $25,000 / (1 + 4%)⁵

PV = $25,000 / 1.2167

PV = $20,554.66

Therefore, the present value of $25,000 to be received in 5 years if the discount rate is 4% will be $20,554.66. Rounding it to the nearest whole number, the amount will be $20,555.

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The differential equation of  the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate  at which a subject is memorized.

Translate the given word problem into an algebraic expression.

Let m be the total amount of a subject to be memorized.

Let  a(t) be the amount memorized in time t > 0.

Let c(t) be the amount that is left to be memorized in time t > 0.

Then,

c(t) = m - a(t)

From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:

da(t)/dt = k. c(t),  where k is a constant

da(t)/dt = k. (m - a(t))

k. a(t) + da(t)/dt = km

Hence, the differential equation is k. a(t) + da(t)/dt = km

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Answer:

The smaller number is 27 and the larger number is 44

Step-by-step explanation:

Let x = the larger number

Let y = the smaller number

x + y = 71

x = y + 17  Substitute in y + 17 for x in the first equation.

x + y = 71

y +17 + y = 71  Combine the y's.

2y + 17 = 71  Subtract 17 from both sides of the equation

2y = 54  Divide both sides of the equation by 2

y = 27.  Plug 27 in for y for either of the two original equation to find x

x + y = 71

x + 27 = 71  Subtract 27 from both sides of the equation

x = 44

In a regression analysis regarding the two variables, the dependent variable is called the response or outcome variable, meanwhile the independent variable is called the predictor, explanatory, or input variable.

The goal of the analysis is to build a statistical model that can predict or explain the behavior of the dependent variable based on the independent variable(s). In a regression analysis, the two variables under consideration are:

In conclusion, the goal of the analysis is to find the best-fitting line or curve that describes the relationship between the variables. Once we have this model, we can use it to make predictions about the dependent variable based on the values of the independent variable(s).

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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Answer:

Step-by-step explanation:

(1 + 3)/(3-1) = 4/2 = 2

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

Analyzing the question, Tony must deliver them 35 pieces to make at least $70 an hour.

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is used to study mathematical structures that include numbers, as well as variables and other abstract concepts. Algebraic concepts include operations such as addition, subtraction, multiplication, and division, as well as the properties of operations such as distributivity and associativity. Algebraic concepts also include equations, inequalities, and functions.

According the question,

tony make 2 dollars for each delivery,

so, he need to do 70/2 = 35 delivery

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Answer:

16

Step-by-step explanation:

(fog)x=f{g(x)}

=f(x-2)

=(x-2)^2

So,

(fog)(-2)=(-2-2)^2

=-4^2

=16

Answer:

4k+2 (when k=6)

5k+6 (when k=4)

Step-by-step explanation:

Answer:

14

12

Step-by-step explanation:

Just run through possible even numbers up till 26.

14 + 12 = 26 and they are two consecutive even numbers

Answer:

5rs^3t^2  cubed root rt

Step-by-step explanation:

so 5rs-cubed t-squared and inside the cube root is rt

Answer:

The diameter of the circle is 7/2.

Step-by-step explanation:

⭐What is the radius of a circle?

⭐What is the diameter of a circle?

Thus, the diameter of said circle is twice the radius of said circle.

diameter = 2(radius)

diameter = 2(7/4)                   . . . . substitute known values

diameter = 14/4                      . . . . multiply the numerator & denominator

diameter = 7/2                       . . . . simplify

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The significance level, account for multiple testing, and recognize the limitations and context when interpreting p-values.

The p-value is a crucial concept in statistical hypothesis testing. It refers to the probability of observing a test statistic as extreme as or more extreme than the one observed, given that the null hypothesis is true.

In other words, it is the probability of obtaining the observed result by chance, assuming that there is no true effect.
There are several key guidelines that researchers need to keep in mind when interpreting p-values.

This threshold should not be taken as a hard-and-fast rule and other factors such as the study design sample size and effect size should also be considered.
Secondly, the p-value alone cannot determine the validity or importance of a research finding.

It is just one piece of evidence that needs to be considered along with other factors, such as the magnitude of the effect, the precision of the estimates, the plausibility of alternative explanations, and the practical implications of the findings.
Thirdly, the p-value can be influenced by various factors, such as the choice of statistical test, the assumptions made about the data, and the presence of outliers or influential observations.

Therefore,

Researchers should always report the assumptions and limitations of their analyses and consider conducting sensitivity analyses to test the robustness of their results.
In summary,

The key guidelines for interpreting p-values include understanding their meaning and limitations, considering other factors in addition to p-values, and being aware of the factors that can influence their interpretation.

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The circumstances in which the median rather than the mean is the preferred measure of central tendency is when there is a skewed distribution (a few extreme scores), an open-ended distribution or undetermined scores.

Central tendency is defined as the summative measure that tries to describe the entire set of data with a single value representing the mean or center of the distribution.

A skewed distribution occurs when one tail is longer than the other.

Therefore, in this type of distribution, the median should be chosen as the preferred measure of central tendency.

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Answer: -2

Step-by-step explanation:

you need to isolate x.

to do that, you first add 2 to each side giving you 3x=-6

to isolate further, you divide both sides by 3 giving you -2

Answer:

----------------------

Find the hypotenuse c of the base using Pythagorean theorem:

Lateral surface area, three rectangular faces, is:

Find base area, the area of two right triangles:

Find total surface area:

Step-by-step explanation:

Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.

The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330

Solve for x:

0.06x(3)+0.075(18000−x)(3)=3330

Step 1: Simplify both sides of the equation.

0.06x(3)+0.075(18000−x)(3)=3330

0.06x(3)+−0.225x+4050=3330(Distribute)

0.18x+−0.225x+4050=3330

(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)

−0.045x+4050=3330

−0.045x+4050=3330

Step 2: Subtract 4050 from both sides.

−0.045x+4050−4050=3330−4050

−0.045x=−720

Step 3: Divide both sides by -0.045.

−0.045x/−0.045=−720/−0.045

x=16000

x=16000

So, the amounts borrowed are:

Bank at 6% = 16000

Bank at 7.5% = 2000

Answer:A,C,F

Step-by-step explanation:edge2020

Answer:

A,C,F

Step-by-step explanation:

Answer: Look below for the answers

Step-by-step explanation:

unit rates...

MOVIE TICKETS

$36/3=12

$12 for each ticket so

ICE CREAM CONES

$8.25/3=$2.75

$2.75 for each cone so

2 icecream cones cost $5.5

BANANAS

.99/3=.33

.33 for each banana so

.33*5=$1.65

Therefore, the order-reversed integral is:

∫ba∫dcsin(x^2) dydx, where a= 0, b= 3, c= √(3y), and d= √(9y).

We have:

∫30∫3ysin(x^2) dxdy

To reverse the order of integration, we need to express the limits of integration as inequalities of x and y:

3y ≤ x^2 ≤ 9y

√(3y) ≤ x ≤ √(9y)

0 ≤ y ≤ 1

So, we have:

∫30∫√(9y)√(3y)sin(x^2) dxdy

Integrating with respect to x first, we get:

∫√(9y)√(3y) [-cos(x^2)/2] |_0^(√(3y)) dy

= ∫30 [-cos(3y)/2 + cos(y)/2] dy

= [-sin(3y)/6 + sin(y)/2] |_0^3

= (-sin(9)/6 + sin(3)/2) - (0 - 0)

= (-sin(9)/6 + sin(3)/2)

Therefore, the order-reversed integral is:

∫ba∫dcsin(x^2) dydx, where a= 0, b= 3, c= √(3y), and d= √(9y).

Note: We can also check the answer by evaluating the original integral and comparing it with the answer obtained by reversing the order of integration.

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Answer:

Total amount after 3 year = 1,157.625

Step-by-step explanation:

Given:

Amount deposit P = $1,000

Number of year n = 3 year

Interest rate r = 5% = 0.05

Find:

Total amount after 3 year

Computation:

Amount = P[1+r]ⁿ

Total amount after 3 year = 1,000[1+0.05]³

Total amount after 3 year = 1,000[1.05]³

Total amount after 3 year = 1,157.625

Answer:

it is more intense by 3.0

Step-by-step explanation: