If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?

Answer:

A complex sentence is a sentence with one independent clause and at least one dependent clause. It works best when you need to provide more information to explain or modify your sentence's main point

Step-by-step explanation:

oye mughe pata hai me koi friend banega ka puc rahi thi

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

Answer:

The greatest common factor (GCF) of 21 and 8 is 1, since the only common factor of these two numbers is 1. The least common multiple (LCM) of 21 and 8 is 168, which is the smallest number that is a multiple of both 21 and 8.

Step-by-step explanation:

A "probability sample" is a sample in which every element in the population has a known statistical likelihood of being selected.

Probability sampling is a methodology in which the researcher selects samples from a broader population using a probability theory-based method. A participant must be chosen at random in order to be used as a probability sample.

Some key features regarding probability sampling are-

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Question 7: 112°

The figure is a parallelogram because there are 2 pairs of parallel sides. Since adjacent angles of a parallelogram are supplementary, the answer is 112°.

Question 8: 9

Diagonals of a parallelogram bisect each other, so

\(19(2)=5x-7 \\ \\ 38=5x-7 \\ \\ 45=5x \\ \\ x=9\)

Answer:

66

Step-by-step explanation:

63% of 109 is 68.67 the closest answer is 66

By using Binomial Distribution, it can be calculated that -

P(X = 1) = 0.0005

What is Binomial Distribution?

Binomial distribution is a discrete type probability distribution whose probability density function is given by

P(X = x) = \({n \choose x} p^xq^{n - x}\)

Where p is the probability of success and q is the probability of failure

Here, Binomial Distribution of probability is used

k = 1

p = 0.9

q = 1 - 0.9 = 0.1

n = 5

P(X = 1) = \({5 \choose 1} (0.9)^1(0.1)^{5 - 1}\)

            = 0.00045

            = 0.0005

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Answer:

r=24

Step-by-step explanation:

a. The alternative hypothesis is that there is a significant difference between the two.

b. The critical value with 1950 degrees of freedom and α=0.01 is ±2.58.

c. There is sufficient evidence to conclude that women spend significantly more time on housework than men.

a. The null hypothesis is that there is no significant difference between the average time spent on housework by men and women. The alternative hypothesis is that there is a significant difference between the two.

b. To test the hypothesis, we can use a two-sample t-test assuming equal variances. The test statistic is calculated as:

\(t = (\bar X1 - \barX 2) / [ s_p \times \sqrt{(1/n1 + 1/n2) } ]\)

where \(\bar X\)1 and \(\bar X\)2 are the sample means, s_p is the pooled standard deviation, n1 and n2 are the sample sizes. The critical value can be obtained from a t-distribution table with degrees of freedom equal to (n1 + n2 - 2).

Using the given data, we have

:\(\bar X\)1 = 23, s1 = 32, n1 = 1219

\(\bar X\)2 = 37, s2 = 16, n2 = 733

\(s_p = \sqrt{(((n1-1)s1^2 + (n2-1)s2^2) / (n1 + n2 - 2))} \\= \sqrt{(((121832^2) + (73216^2)) / (1950))} \\= 29.79\)

\(t = (23 - 37) / (29.79 \times \sqrt{(1/1219 + 1/733)} )\\= -9.91\)

c. The calculated test statistic (-9.91) is much larger than the critical value (-2.58), which means that the null hypothesis can be rejected at the α=0.01 level of significance. Therefore, there is sufficient evidence to conclude that women spend significantly more time on housework than men.

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Yes, women tend to spend more time on housework than men. The answer is based on the information provided.

a. The null hypothesis is that there is no significant difference in the average time spent on housework between men and women. The alternate hypothesis is that women tend to spend more time on housework than men.

H0: μ1 - μ2 = 0

H1: μ1 - μ2 > 0 (where μ1 is the population mean time spent on housework by men, and μ2 is the population mean time spent on housework by women)

b. To test this hypothesis, we will use a two-sample t-test with unequal variances. Using the sample means and standard deviations provided, the test statistic is:

t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))

= (23 - 37) / sqrt((32^2/1219) + (16^2/733))

= -8.24

Using a significance level of α = 0.01 and 1950 degrees of freedom (calculated using the formula: df = [(s1^2/n1 + s2^2/n2)^2] / [(s1^2/n1)^2 / (n1-1) + (s2^2/n2)^2 / (n2-1)]), the critical value for a one-tailed test is 2.33.

c. The calculated t-value of -8.24 is less than the critical value of 2.33, so we reject the null hypothesis. This indicates that there is a significant difference in the average time spent on housework between men and women, and that women tend to spend more time on housework than men. Therefore, we can conclude that women spend more time on housework than men on average, based on the provided sample data.

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When f(x)=x4 and g(x)=2x+4 at x=2 for f(x) and x=-2 for g, the value of g(f(2)) is 8 (x).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

f(x)=x-4

g(x)=-2x+4

f(2)=2-4

=-2

g(-2)=-2*-2+4

g(-2)=8

The value of g(f(2)) is 8 for f(x)=x−4 and g(x)=−2x+4 at x=2 for f(x) and x=-2 for g(x).

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Answer:

His balance is $4,849.65 after 5 years

Step-by-step explanation:

A = P(1 + r/n)^nt

A = future value = ?

P = present value = $4,500

r = interest rate = 1.5% = 0.015

n = number of periods = 4

t = time = 5 years

A = P(1 + r/n)^nt

= 4,500(1 + 0.015/4)^4*5

= 4,500(1 + 0.00375)^20

= 4,500(1.00375)^20

= 4,500(1.0777)

= 4,849.65

A = $4,849.65

His balance is $4,849.65 after 5 years

Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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When the net is folded into the rectangular prism the letters that will be on the front and left side are

A rectangular prism is a three-dimensional shape that has 6 faces (two at the top and bottom and four are lateral faces).

The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

When the letter B is on top of the prism, D will be on the bottom.

the back will be A, whereas the side we are facing will be C.

On the other side, E is the only component of the prism that is not visible at the left side.

The question is incomplete and the missing part is attached

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Answer: The letter on the front will be C The letter on the left side will be E.

Step-by-step explanation: I took the quick check and made a quizlet

Answer:

ccccc

Step-by-step explanation:

cccccc

Solution:

Given;

From law of logarithm;

Thus;

Another law of logarithm;

Thus;

FINAL ANSWER

Answer:

34 hours

Step-by-step explanation:

358-35=323

323/9.50= 34

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Answer:

height = 15 inches

Step-by-step explanation:

the volume (V) of a cylinder is calculated as

V = Ah ( A is the base area and h the height )

given V = 1650 and A = 110 , then

1650 = 110h ( divide both sides by 110 )

15 = h

The true logic statements are listed as follows:

B) ~q.

D) p ⌄ q.

F) p ^ ~q.

A square is a quadrilateral, as it has four sides, hence the statement p is true.

Then, the negative of statement p is false, and option a is false.

The or operation with statement p is always going to be true, as the or operation is true when at least one of the operators is true, hence option D is true.

An hexagon is not a parallelogram, hence statement q is false. Thus, option B is true, as the negative of a false statement is positive.

The and operation is true when all the operators are true, hence option F is true, as statements p and ~q are both true. Statement C is false as only one of the statements is true.

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Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

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The probability that Andre selects a tile labeled B is 1/10, which is equivalent to 0.1 when expressed as a decimal.

To determine the probability that Andre selects a tile labeled B, we need to know the total number of tiles in the hat and the number of tiles labeled B.

Given that there are 10 letters (A through J) printed on tiles in the hat, the total number of tiles is 10.

Since Andre selects a tile at random and then replaces it, the total number of tiles remains the same for Clare's selection.

Now, let's determine the number of tiles labeled B.

Since B is just one of the 10 letters, there is only one tile labeled B.

Therefore, the probability of Andre selecting a tile labeled B can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes.

Probability = 1 (Number of tiles labeled B) / 10 (Total number of tiles)

Probability = 1/10

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Answer:

A

Step-by-step explanation:

Range = Highest value - Lowest value

At Park Zoo:

R = 44 - 38

= 6

At Countryside Zoo;

R = 45 - 38

= 7

So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo

The mode is the value that appears the moat frequently.

At Park zoo, the mode is 41 since it has the most dots.

At Countryside zoo, the mode is 40, since it has the most dots

So, it cannot be C because Park zoo has a greater Mode.

so, the only answer is A

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Part A: Since triangle 2 is a right triangle, we can apply the Pythagorean Theorem to it. The theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. So, the equation for triangle 2 would be c2 = a2 + b2.

Part B: Both equations for triangles 1 and 2 have a2 + b2. We can think of them as a system of equations. So, we can substitute what a2 + b2 equals in the first equation for a2 + b2 in the second equation. After substituting, we get the equation: n2 = c2 - 2ac.

Part C: To get the resulting equation, we take the square root of both sides of the equation from part B. So, we get: n = sqrt(c2 - 2ac).

Part D: Yes, there is a way for this equation to be true. It would be true if triangle 1 is a right triangle with the hypotenuse being c and one leg being a.

Part E: This shows that there is a relationship between the two triangles. Specifically, it shows that the length of the third side of triangle 1 is related to the lengths of the other two sides of triangle 1 and the hypotenuse of triangle 2.

Part F: No, this does not necessarily mean that triangle 1 is a right triangle. It only means that if triangle 1 is a right triangle, then the equation from part C would be true.

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △RST;

The vertices are, R(4, 1), S(7, 3), and T(6, 4)

Here, Translation: (x, y) → (x, y−1)

And, Reflection in the y-axis.

Hence, New coordinate of the image of △RST are,

⇒ R' = (- 4, 1 - 1) = (- 4, 0)

⇒ S' = (- 7, 3- 1) = (- 7, 2)

⇒ T' = (- 6, 4 - 1) = (- 6, 3)

Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

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Answer:

the number of tickets remaining is inversely proportional to the time in minutes:

number of tickets remaining  = total amount of tickets - (25 tickets sold per minute x time in minutes) = 350 - 25T

Step-by-step explanation:

for example:

after 5 minutes, the number of tickets remaining = 350 - (25 x 5) = 225 tickets

after 10 minutes, the number of tickets remaining = 350 - (25 x 10) = 100 tickets

after 14 minutes, the number of tickets remaining = 350 - (25 x 145) = 0 tickets

Answer:

12/5 miles

Step-by-step explanation:

3/25=x/20

cross product

25*x=3*20

25x=60

x=60/25

simplify

x=12/5

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

To compute the probability of selecting a certain number of white or black balls from the urn after a certain number of trials, we can use the concept of conditional probability. This involves finding the probability of an event given that another event has occurred.

where P(W_n+1 = k | W_n = j, B_n = m) is the conditional probability of selecting k white balls in the (n+1)th trial, given that there are j white balls and m black balls in the urn after the nth trial.

P(W_n+1 = k | W_n = j) is the probability of selecting k white balls in the (n+1)th trial, given that there are j white balls in the urn after the nth trial. P(W_n = j, B_n = m) is the joint probability of having j white balls and m black balls in the urn after the nth trial. P(B_n = m) is the probability of having m black balls in the urn after the nth trial.

Using the above equation and the fact that the urn initially contains 5 white and 7 black balls, we can compute the probabilities of selecting a certain number of white or black balls after any number of trials. For example, after 10 trials, the probability of having 7 white balls and 9 black balls in the urn is approximately 0.055.

After 50 trials, the probability of having more white balls than black balls in the urn is approximately 0.989. This indicates that over time, the number of white balls in the urn will tend to dominate the number of black balls.

Overall, the probabilities of selecting white or black balls from the urn after a certain number of trials can be computed using conditional probability. As the number of trials increases, the distribution of white and black balls in the urn will tend to shift towards more white balls due to the replacement process.

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