What is the equation of the line that passes through the point (-2, 7) and has a slope of zero? A.x = 7 B.y = -2 C.x = -2 D.y = 7

Answer:

3.

Step-by-step explanation:

Cancel all out and you will get 3.

x+1/x⁴-2x³+x²-1

81-64+7-21=3

Hope this helps :D

Answer:

-8,-10,-12,-14,-16

Step-by-step explanation:

Just take -8 and add -2 to find each term

24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.

Here,

Since there are 5 peoples,

let us fix the first person and remaining will be set according to that.

this can be arranged in,

(5-1)!=4!

=24 ways

When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.

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Answer:

Hope it helps u, any questions u may ask me

x=70 [alternate interior angles]

y=60 [alternate interior angles]

a=110 [By linear pair]

b=120 [By linear pair]

In polygons, consecutive interior angles share a common side.

To make a conjecture about consecutive interior angles in a parallelogram, we should consider that: A parallelogram is a four-sided quadrilateral with two sets of parallel sides.

The opposite sides of the parallelogram are parallel, and the opposite angles are equal.

The adjacent or consecutive angles of the parallelogram are supplementary in nature, meaning they add up to 180 degrees.

Conjecture Consecutive interior angles of a parallelogram are supplementary.

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73/100

Is 0.73 as a simplified fraction

Answer:

Morgan (17.06 secs)

Step-by-step explanation:

Jackie, morgan, Kylie and chung ran the 100 meter dash race

Jackie finished the race in 17.6 secs

Morgan finished the race in 17.06 secs

Kylie finished the race in 17.66 secs

Chung finished the race in 17.066 secs

Hence Morgan finished the race in the least amount of time in 17.06 seconds

Answer:

D. t≤1

Step-by-step explanation:

Our inequality:

3t-12≤-9

First, add 12 to both sides of the inequality:

3t≤3

Next, divide both sides of the inequality by 3:

t≤1

Your answer is D. t≤1

Answer:

\(2(4n-5)\)

Step-by-step explanation:

We start with this equation:

\(\frac{8n^2-26n+20}{n-2}\)

Factoring it out gives us:

\(\frac{2(4n-5)(n-2)}{(n-2)}\)

Thus you can cancel the \((n-2)\)  as:

 \(\frac{(n-2)}{(n-2)} = 1\)

Giving us:

\(2(4n-5)\)

Answer:

2(4n -5)

Step-by-step explanation:

Factorizing:

8n² - 26n + 20 = 2*(4n² - 13n + 10)

4n² - 13n + 10

Sum = -13

Product = 10 * 4 = 40

The factors should be in such a way that when we add, we should get (-13) and when we multiply, we should get 40.

Factors = (-8); (-5)           { (-8) + (-5) = -13  & (-5)*(-8) = 40}    

4n² - 13n + 40 = 4n² - 8n - 5n + 10  {Rewrite the middle term using the factors}      

Take the common term 4n from the first two terms and (-5) from the third and fourth term.

                      = 4n(n - 2) -5 (n - 2)

                      = (n -2) (4n - 5)

\(\sf \dfrac{8n^2 - 26n + 20}{n -2}= \dfrac{2*(4n^2 - 13n +10)}{(n -2)}\)

                       \(= \dfrac{2*(n -2)(4n -5)}{(n -2)}\\\\= 2*(4n-5)\)                        

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

85 degrees

Step-by-step explanation:

If you find the missing angle for the triangle it would be 95 because 60+25 is 85 then 180-85 is 85. For a straight line you have to have 180 degrees, so you know the first angle is 95 degrees so the second one would have to be 85 degrees :)

These special prime pairs are best known as "twin primes."

The question is about the unproven conjecture that there exist infinitely many pairs of prime numbers that differ by two, which are best known as a specific term. These special prime numbers, such as (17 and 19) or (1019 and 1021), are sometimes called "prime pairs" but they are best known as "twin primes."

Twin primes are the pairs of prime numbers that differ by a number of two, such as (3, 5), (5, 7), (11, 13), (17, 19), and so on. The conjecture that there are infinitely many twin primes is one of the oldest unsolved problems in number theory.

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Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Using the given ratios found the values of A, B and C, and completed the table as follows:

Black   9   18       45     72

White  13   26     65    104

What is meant by the ratio?

A ratio in mathematics demonstrates how many times one number is present in another. A ratio is what a fraction looks like when it is written as a:b. A ratio is the comparative or condensed version of two quantities of the same type.

Given the table:

Black   A   18   45   72

White  13   B    65    C

The table represents the ratios of black keys to white keys on pianos of various sizes.

The ratio of keys of the piano always remains constant.

So we can write as follows:

A/13 = 18/B = 45/65 = 72/C

To find A, we take the following ratios.

A/13 = 45/65

On solving, we get

A = 45 * 13 / 65 = 585/65 = 9

To find B, we take the following ratios.

18/B = 45/65

B = 18 * 65 / 45 = 1170/45 = 26

To find C,  we take the following ratios.

72/C = 45/65

C = 72 * 65 / 45 = 104

Therefore using the given ratios we can complete the table using the values of A, B and C,

Black   9   18       45     72

White  13   26     65    104

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The measurement 345.58 cm² is the closest to the total surface area of the can in square centimeters.

The correct option is A.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A can in the shape of a cylinder has a diameter of 10 centimeters and a height of 6 centimeters.

The surface area of the cylinder,

= 2π r h + 2π r²

= 2 (3.14)(5)(6) + 2 (3.14) (25)

= 345.4 square centimeters.

Therefore, 345.58 cm² is the closest value.

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1.20 moles of Li3N can be theoretically produced from the given amounts of Li and N2.

The balanced chemical equation for the reaction is:

6 Li + 2 N2 → 2 Li3N

The molar mass of Li is 6.94 g/mol and the molar mass of N2 is 28.02 g/mol. Using these molar masses, we can convert the given masses of Li and N2 into moles:

moles of Li = 12.3 g / 6.94 g/mol = 1.77 mol

moles of N2 = 33.6 g / 28.02 g/mol = 1.20 mol

According to the balanced chemical equation, 6 moles of Li react with 2 moles of N2 to produce 2 moles of Li3N. So the limiting reactant is N2, and the maximum number of moles of Li3N that can be formed is given by the stoichiometry of the reaction:

moles of Li3N = 2/2 * 1.20 mol = 1.20 mol

Therefore, 1.20 moles of Li3N can be theoretically produced from the given amounts of Li and N2.

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The optimal number of TVs to sell in order to achieve the highest profit are 24 and 48, respectively

Given the question, the objective function can be stated as follows.

P(n, m) = 175b + 205m

The given values for the constraints and the result of evaluating them are provided as

After analyzing the above values, we have identified the highest value as

Maximum = 14040

These values are at

b = 24 and m = 48

Hence, the number of TV to be sold are 24 and 48, respectively

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Answer:

a = -40/3

Step-by-step explanation:

(7a - 4) = (4a - 44)

7a - 4 = 4a - 44

7a = 4a - 44 + 4

7a = 4a - 40

7a - 4a = - 40

3a = - 40

3a/3 = -40/3

a = -40/3 or -13.3333 repeating

Answer:

c

Step-by-step explanation:

The period is 1 complete cycle of the wave, before repeating.

1 cycle is from - 6 to - 2 , then

period = 4  → c

Answer: The new set of coordinates is (-6, 3)

Step-by-step explanation:

Step-by-step explanation:

x +15=24 because she had 24 caoches and she drank 15 couches There fore x+15=24

or,x=24-15

or,x=19 #

The 90% confidence interval is given by (3.9911; 7.9911)

It is 90% confident that the true average speed of a vehicle on a highway is between 3.9911 and 7.9911 miles per hour.

1) Former concept

A confidence interval is "a range of values ​​that is likely to encompass the values ​​of a population with some degree of confidence. Often expressed as a percentage.

The error bar is the range of values ​​above and below the sample statistic in the confidence interval.

A probability distribution that is symmetric about the mean and indicates that data close to the mean are more common than data far from the mean.

X = 2, represents the sample mean of the sample

μ = population mean (variable of interest)

s = 1 represents the standard deviation of the sample

n = 11 represents the sample size

2 ) Confidence Interval:

Confidence Interval for mean is given below:

                  X ± t (α/2) s/√n

To compute the critical value, we first need to find the degrees of freedom given by

df = n -1

   = 11 -1 = 10

Confidence is 0.90 or 90%, so the value of and is α = 0.1 , and α/2 = 0.05 you can use Excel, a calculator, or a spreadsheet to find the critical values. The Excel command would be "=-T.INV(0.05,10)".

2 - 1.81 (1/√11) = 3.9911

2 + 1.81 (1/√11) = 7.9911

So in this case the 90% confidence interval is (3.9911 , 7.9911)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 3.9911 and 7.9911 miles per hour.

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in general, to perform a hypothesis test comparing the means of two independent samples using the critical value method, you would follow these steps:

State the null and alternative hypotheses. For example, the null hypothesis could be that there is no difference in means between the two populations (i.e., H0: µ1 - µ2 = 0), and the alternative hypothesis could be that there is a significant difference in means (i.e., Ha: µ1 - µ2 ≠ 0).

Determine the level of significance, α, which represents the probability of rejecting the null hypothesis when it is actually true. For example, if α = 0.05, then there is a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).

Calculate the test statistic. The most common test statistic for comparing the means of two independent samples is the t-test. The formula for the t-test is:

t = (x1 - x2) / [s^2pooled/n1 + s^2pooled/n2]^0.5

where x1 and x2 are the sample means, s^2pooled is the pooled variance (calculated using the two sample variances and sample sizes), and n1 and n2 are the sample sizes.

Determine the critical value(s) from the t-distribution table based on the degrees of freedom (df) and level of significance (α). The degrees of freedom for a two-sample t-test is calculated as:

df = n1 + n2 - 2

Compare the test statistic to the critical value(s). If the absolute value of the test statistic is greater than the critical value(s), then reject the null hypothesis; otherwise, fail to reject the null hypothesis.

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Answer:

16

Step-by-step explanation:

{} {1,2,3,4}{1}{2}{3}{4}{1,2}{1,3}{1,4}{2,3}{2,4}{3,4}{1,2,3}{1,2,4}{1,3,4}{2,3,4}

(16 - 4) - ( -5 + 8)

12 - 3 = 9

hope it helps :).

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

Step-by-step explanation:

-3(3x - 4) = -9x + 12

-9x + 12 = -9x + 12

0 = 0

infinitely many solutions