Please answer it as soon as possible.

1. a^4+1+1/a^4​

Answer:

2x+ 2

Step-by-step explanation:

Answer:

6x÷3+1÷3=2x+1=3x

Step-by-step explanation:

hope u got it

\(f(x)=x+7\\g(x)=x-4\\f(x)*g(x)=(x+7)(x-4)\\f(x)*g(x)=x^2+3x-28\)

So it's x^2+3x-28

Answer:

Mean = 43.969

Standard deviation = 12.341

Step-by-step explanation:

Given the data :

36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06

The sample mean :

Σx / n = 351.75 / 8 = 43.969

Sample standard deviation :

√Σ(x - mean)²/n-1

√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)

Standard deviation = 12.341

We will have that the solution is given by:

So, the answer is option 2.

***

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.

Since, there was a broken bowl nearby the dead bodies,

it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.

Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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The ideas in the excerpt contributed to:

Establishment of foreign policies that sent monetary aid.

We need to understand the time at which the excerpt was written, which was of 1950.

This was the beginning of the cold war, between the countries with capitalist economies and socialist economies.

The title is "We Are Losing Asia Fast", saying that China was already lost, hence the article was stating that Asian countries needed benefits to not go to the socialist side.

To avoid the Asian countries aligning themselves to the socialism, monetary aid was sent to them.

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Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

−

5

=

7

−

9

3x-5=7x-9

3x−5=7x−9

3

−

5

+

5

=

7

−

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

−

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

−

4

3x=7x-4

3x=7x−4

3

−

7

=

7

−

4

−

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

−

4

=

−

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

−

4

=

−

4

-4x=-4

−4x=−4

−

4

−

4

=

−

4

−

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

The probability of a diffusing atom jumping from one site to another is influenced by temperature. It is typically described by the Arrhenius equation:

P = \(Ae^{(-Q/RT)}\)

Where:

P is the probability of a jump

A is the pre-exponential factor

Q is the activation energy

R is the gas constant

T is the absolute temperature in Kelvin

To calculate the probability at 500°C and 1000°C, we need to convert these temperatures to Kelvin:

\(T_{500C}\) = 500 + 273.15

= 773.15 K

\(T_{1000C}\) = 1000 + 273.15

= 1273.15 K

Assuming we have values for the pre-exponential factor (A) and activation energy (Q), we can substitute these values into the Arrhenius equation to calculate the probabilities at the given temperatures. However, without specific values for A and Q, we cannot provide a numerical answer.

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Answer: H = 5

the equation would be, 35h - 25 = $200

Step-by-step explanation:

Answer:

The value of q/p = 144

Step-by-step explanation:

Number of cards in the box = 40

Each bearing a number: 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10

Each number appears 4 times cards in total

p = the probability that all four cards bear the same number.

q = the probability that three of the cards bear a number 'a' and the other bears a number 'b' that is not equal to 'a'.

The cards were chosen without replacement.

For Probability without replacement, the total number of items decrease after each pick. When considering same items, the number of the same item also decrease after each pick.

a) In this question, the order of the 4 cards picked is irrelevant.

Pr (4 same cards) = p = 4/40 × 3/39 × 2/38 × 1/37

p = 24/2193360 = 1/91390

Pr (3same cards and 1 different card) = q

Probability of picking 'a' card = 4/40

Probability of picking other cards aside 'a' = Probability of not picking 'a' card

= 36/40

Since we were not told what the particular number of the other number is, it would be any of the remaining 36 numbers.

b) In this question, we would consider the order of the 4 cards picked.

q = Pr(baaa) + Pr(abaa) + Pr(aaba) + Pr(aaab)

Without replacement

q = (36/40 × 4/39 × 3/38 × 2/37) + (4/40 × 36/39 × 3/38 × 2/37) + (4/40 × 3/39 × 36/38 × 2/37) + (4/40 × 3/39 × 2/38 × 36/37)

q = 4[(36×24)/2193360]

q= 144(24)/2193360 = 144(24/2193360)

q= 144(1/91390) = 144/91390

The value of q/p = (144/91390)/(1/91390)

The value of q/p = (144/91390) × (91390/1)

The value of q/p = 144

Answer:

The 1 in the (1,67) would represent how you move horizontally on a graph (left and right).

The 67 in (1,67) would represent how you move vertically on a graph (up and down)

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Hey there!

In order to find which description of the graph matches the problem, we must first create an equation or an inequality

So, we need to find how much more people the company needs to reach their goal to generate at least $7,300 in monthly revenue

We know that each person adds $300 to the already total of $5,500 per month

Now we can form the equation with this knowledge

\(300x + 5,500 \geq 7,300\) where x is the number of people

Now we can simplify the equation

\(300x\geq 7500 - 5500\\ 300x\geq 2000\\x\geq 6.67\)

Since we cannot have 6.67th of a person, we must round down because it means that we need more than 6 people

If we round up, it means that you need more 7 people in order to get $7,300 which isn't true

This means, you need more than 6 salespeople per month in order to meet the monthly quota of $7,300 in monthly revenue

Now that we know this, we can make a graph, or find the correct description of the graph

Since they need more than 6 people, the dot that sits on 6 in the number line will not be filled in, indicating that you need more than 6 salespeople

And since we need MORE, not LESS, the line will be pointing to the right

So, the correct answer would be D.

Answer:

21

Step-by-step explanation:

21/3 = 7

Complete Question

90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.

• You are meeting a flight that departed on time. What is the probability that it will arrive on time?

• You have met a flight, and it arrived on time. What is the probability that it departed on time?

• Are the events, departing on time and arriving on time, independent?

Answer:

1st Question

       \(P(X_1) = 0.833\)

2nd  Question

      \(P(X_2) = 0.938\)

3rd Question

      The probabilities are not independent

Step-by-step explanation:

From the question we are told that

    The  probability of flight that depart on time is  P(DT) = 0.9

      The probability of flights that arrive  on time  is  \(P(AT) = 0.8\)

     The  probability of flight that depart on time and arrive on time is  \(P(DT\ |\ AT) = 0.75\)

    In the first question the flight is departed on time  so the probability that it will arrive on time is  

         \(P(X_1) = \frac{P(DT\ | \ AT)}{DT}\)

substituting values

         \(P(X_1) = \frac{0.75}{0.9}\)

        \(P(X_1) = 0.833\)

In the second question the flight arrived on time, so the probability that it departed on time is  mathematically evaluated as follows

           \(P(X_2) = \frac{P(DT\ | \ AT)}{AT}\)

substituting values

           \(P(X_2) = \frac{0.75}{0.8}\)

           \(P(X_2) = 0.938\)

Looking at the given and calculated values we see that the probability of  depart on time and arrive is not equal to the probability of  depart on time,

    i.e 0.75 =  0.8

the probability of  depart on time and arrive, and  the probability of depart on time are not independent

Answer:

c. x <_ -2 or x >_ 4

Step-by-step explanation:

On the number line, the line goes infinity both sides, but stops between x= -2 and x=4

-1/2 x 1/2 = -1x1 / 2x2 = -1/4

The answer is -1/4

The individual needs to earn $74,750 salary per year in order to recover the investment in 4 years.

What salary amount makes the individual as they were without a salary cut?

By the time the individual resumes back for work after 5 years, they need to earn their previous salary of $46,000 and recover the lost salaries, which is half of $46,000 lost in the last 5 years.

Total salaries lost=1/2*$46,000*5years

Total salaries lost=$115,000

Because the salaries lost needs to be recovered over 4 years, the extra earnings over and above the $46,000 in 4 years is the total salaries lost divided by 4 years

extra salary per year=$115,000/4

extra salary per year=$28,750

Total salary now=prior salary+ extra salary per year

Total salary now=$46,000+$28,750

Total salary now=$74,750

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Answer:

1,-3

Step-by-step explanation:

Answer:

Fourth choice, 1/6

Step-by-step explanation:

15 + 8 + 10 + 12 + 15 = 60

Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6

Answer:

840

Step-by-step explanation:

840&*67---***&%%%%%:

3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation

Multiplication is a method of finding the product of two or more numbers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to find the product of 840 and 4.6×10²

Eight hundred forty into four point six into ten to the power of two.

840× 4.6×10²

3864×10^2

Divide and multiply by 1000

3.864×10^5

Hence 3.864×10⁵ is the product of 840 and 4.6×10²

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Answer:

The distance between the two points is 10.

Step-by-step explanation:

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

3:2

Step-by-step explanation:

The ratio of boys to girls will be 12:8

But, this can be simplified, since both numbers are divisible by 4.

12/4 = 3

8/4 = 2

So, the simplified ratio of boys to girls is 3:2

Answer:

3:2

Step-by-step explanation:

Answer: 12 red 9 blue

Step-by-step explanation: