Which set of ordered pairs (x, y) could represent a linear function?

The slope of the line is the coefficient of x in eqn(1), which is, - 3.

The solution is -3

The height of the cheetah above the ground is approximately 60.6 meters.

We can use trigonometry to solve this problem.

Let's draw a diagram:

       A (cheetah)

       |\

       | \

       |  \

       |   \

  C  |    \  B (telescope)

       |     \

       |      \

       |       \

       |        \

       |         \

       |          \

       ------------

           134 m

In the diagram above, point A represents the cheetah, point B represents the position of the telescope, and point C represents the base of the cliff.

The angle of elevation from the telescope to the cheetah is 25 degrees, so we know that:

tan(25) = opposite / adjacent

We want to find the height of the cheetah above the ground, which is the opposite side of the triangle.

We also know that the distance from the base of the telescope to the base of the cliff is 134 m is the adjacent side of the triangle.

We can rearrange the formula above to solve for the height:

height = tan(25) x adjacent

Substituting in the values we know:

height = tan(25) x 134

height ≈ 60.6

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Answer:

cd=22

Step-by-step explanation:

For the normal distribution, 99.7% of the data falls within 3 standard deviations of the mean, the given statement is false.

According to the Empirical rule, approximately 99.7% of all of the data values will lie within 3 standard deviations of each side of the mean. Therefore given statement is false.

The empirical rule likewise alluded to as the three-sigma rule or 68-95-99.7 rule, is a measurable decision that expresses that for a typical conveyance, practically completely noticed information will fall inside three standard deviations (indicated by σ) of the mean or normal (signified by µ).

Specifically, the exact decision predicts that 68% of perceptions fall inside the primary standard deviation (µ ± σ), 95% inside the initial two standard deviations (µ ± 2σ), and 99.7% inside the initial three standard deviations (µ ± 3σ).

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Answer:

(675°F − 32) × 5/9 + 273.15 = 630.372K

Hope it's right if not so sorry :)

The correct option is A: 0.0335. The probability that the professor will have no messages on a randomly selected day ,

can be calculated using the Poisson distribution formula, where the mean is given as 5. The formula is P(X=0) = e^(-λ) * λ^0 / 0!, where λ is the mean. Substituting the values, we get P(X=0) = e^(-5) * 5^0 / 0! = e^(-5) ≈ 0.0067 or 0.67%. Therefore, the answer is option A: 0.0335.

This means that on average, the professor is expected to receive 5 emails per day, but there is a small chance that she will receive no emails on any given day.

In this case, the probability is quite low, only 0.67%. However, it is not impossible to have no messages, even though it is unlikely.

It is important to note that the Poisson distribution is a probability model used to describe the occurrence of rare events over time or space, and it assumes that the events are independent of each other and occur randomly.

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(a)The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident  is approximately 0.522.

(c) The probability that at least one adult is very confident is   approximately 0.478.  

What is the probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults, given the proportion of very confident individuals?

The probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults depends on the proportion of very confident individuals. By calculating the probability of all four adults being very confident (a), none of the four adults being very confident (b), and at least one of the four adults being very confident (c), we can determine the likelihood of these scenarios occurring based on the given information.

To solve this problem, we can use the concept of probability and combinations.

(a)Given that there are 150 out of 1000 U.S. adults who are very confident, the probability of selecting one adult who is very confident is:

P(very confident) = 150/1000

= 0.15

Since the sampling is done without replacement, after each selection, the sample size decreases by 1. Therefore, for the second selection, the probability becomes 149/999, for the third selection, it becomes 148/998, and for the fourth selection, it becomes 147/997.

To find the probability that all four adults are very confident, we multiply these probabilities together:

P(all four adults are very confident) = (0.15) * (149/999) * (148/998) * (147/997)

≈ 0.0056

(b) The probability of selecting one adult who is not very confident (opposite of very confident) is:

P(not very confident) = 1 - P(very confident)

= 1 - 0.15

= 0.85

Since we are selecting four adults at random without replacement, the probability of none of them being very confident can be calculated as:

P(none very confident) = P(not very confident) * P(not very confident) * P(not very confident) * P(not very confident)

= (0.85)* (0.85) * (0.85) * (0.85)

≈ 0.522

(c) The probability of at least one adult being very confident is the complement of none of them being very confident:

P(at least one very confident) = 1 - P(none very confident)

= 1 - 0.522

= 0.478

Therefore,

(a) The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident is approximately 0.522.

(c) The probability that at least one adult is very confident is approximately 0.478.  

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Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

Answer:

The Slope is 5

Step-by-step explanation:

As seen in the y-intercept equation, 5x is shown as the slope of the line.

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

The symbol for population mean is μ  and the symbol for population variance is σ².

In statistics, the mean and variance are two of the most commonly used measures of central tendency and dispersion, respectively. The mean is the average value of a set of data, and the variance is a measure of how spread out the data is.

When dealing with a population, the mean and variance are denoted by different symbols than when dealing with a sample. The population mean is denoted by the   (μ), and the population variance is denoted by  (σ²).

The population mean is calculated by summing up all the values in a population and dividing by the total number of values in the population. The population variance is calculated by finding the difference between each value in the population and the population mean, squaring each difference, and then averaging the squared differences.

It's important to note that when dealing with a sample, the mean and variance are denoted by different symbols. The sample mean is denoted by x-bar and the sample variance is denoted by s².

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Answer:

12y² + 9y + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4y² + 5y + 2 + 8y² + 4y + 5

Step 2: Simplify

Answer:

12y² + 9y + 7

Step-by-step explanation:

4y² + 5y + 2 + 8y² + 4y + 5

Simplify :-

4y² + 5y + 2 + 8y² + 4y + 5

4y² + 8y² + 5y + 4y + 2 + 5

12y² + 9y + 7

The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)

Here, we need to construct a 99% confidence interval for population mean (μ) is given by

μ = x + Zα/2 * σ/√n   or    μ = x - Zα/2 * σ/√n

where, μ = population mean

x = sample mean

  = 3 inches

σ = population standard deviation

  = 0.3 inches

Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)

So, the upper limit would be,

μ = 3 + 1.645 * (0.3/√36)

μ = 3 + 1.646 * (0.3/6)

μ = 3.0823

And the lower limit would be,

μ = 3 - 1.645 * (0.3/√36)

μ = 3 - 1.646 * (0.3/6)

μ = 2.9177

Hence, the 99% confidence interval is (2.9177, 3.0823)

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Answer:

Its the symbol "pi" which is 3.14

Answer:

it means pi.

Step-by-step explanation:

pi = 3.14..........

pi goes on forever, it never ends.

Answer:

D. 31°C

Step-by-step explanation:

I hope it helps you

Assume that Peter will invest $x

Then he will invest 1/2 x with a rate of 6% and 1/2 x with a rate of 14%

Since the rule of the interest is

P is the amount of investment

R is the rate in decimal

T is the time

For the first account

For the second account

Then the interest of each account is

Since the total interest is $500, then add I1 and I2, equate the sum by 500

Divide each side by 0.10

Then he invested in each account 5000/2 = $2500

He invested a total of $5000

Answer: 5/4

Step-by-step explanation:

The inequality:

Basically tells us that the solutions will be the numbers strictly greater than 5, so:

Therefore, the solutions are:

8, 10, 6

The sum of ∑ −9(−10/7)n, where n = 4 is -63/17.

The given series is:

∑(-9)(-10/7)ⁿ, n=4 to ∞

To find the sum of this infinite series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where S is the sum of the series, a is the first term of the series, and r is the common ratio of the series.

In this case, the first term a is -9 and the common ratio r is -10/7, since each term is obtained by multiplying the previous term by -10/7.

So we have:

S = (-9) / (1 - (-10/7)) = (-9) / (17/7) = -63/17

Therefore, the sum of the given series is -63/17.

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Answer:

18 meters.

Step-by-step explanation:

The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.

(hope this helps :P)

The probability of getting 2 same colour balls in a row = 41/81

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.

Probability of an event P(E)

= [ No of favorable outcomes ]/ Total No of outcomes

Here we have

There is a bag filled with 5 blue and 4 red marbles.  

Number of balls = 5 + 4 = 9  

Marble is taken at random from the bag,

The probability of getting the red ball = 4/9  

The probability of getting the blue ball = 5/9

The color is noted and then it is replaced.

Another marble is taken at random.  

The probability of getting the red ball 2nd time = 4/9  

The probability of getting the blue ball 2nd time = 5/9    

The probability of getting red ball in 2 attempts = (4/9)(4/9) = 16/81

The probability of getting blue ball in 2 attempts = (5/9)(5/9) = 25/81  

Hence the probability of getting 2 of the same color

= 16/81 + 25/81

= 41/81  

Therefore,

The probability of getting 2 same colour balls in a row = 41/81

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Answer:

4(9a-4)

Step-by-step explanation:

Answer:

4(9a-4)

Step-by-step explanation:

To obtain the rectangle with the maximum value efficiently, you can use the Kadane's algorithm for the maximum subarray sum with slight modifications.

Here's the algorithm:

1. Initialize variables `max_sum` and `result` to negative infinity.

2. Iterate over all possible pairs of columns `(c1, c2)`:

a. Initialize an array `row_sum` of size n with all elements set to 0.

b. Iterate over all rows i from 1 to n:

c. Apply Kadane's algorithm on the `row_sum` array to obtain the maximum sum subarray. Let `cur_sum` be the current sum and `start` and `end` be the indices of the subarray.

d. If `cur_sum` is greater than `max_sum`:

3. Return `result` as the rectangle with the maximum value.

The algorithm runs in O(n^3) time complexity, which is significantly faster than the naive O(n^4) approach.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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The approximate area under the curve f(t) = 1/t when found between 1 and 3 is equivalent to option D: 1.1.

Calculating an integral is called integration. Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc. Usually, when we talk about integrals, we mean definite integrals. One of the two primary calculus topics in mathematics, along with differentiation, is integration.

We can find the approximate area using the concept of integration as follows:

\(\int\limits^3_1 {1/t} \, dt\)

We generally know that:

\(\int\limits^a_b {x} \, dx\)= ㏑(x)

Therefore,

\(\int\limits^3_1 {1/t} \, dt\)

= ㏑ (3) - ㏑ (1)

= 1.1, more specifically it would be 1.09.

From the table of logarithm, you can verify is equivalent to 1.1.

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Correct question is:

In Exploration 3.1.1 you found the area under the curve f(t)=1/t

between 1 and 3. What was the approximate area that you came

up with?

A. 1.3

B. .9

C. .7

D. 1.1

The minimized SOP expression for the given logic function is ABCDE + ABCDE.

To find the minimized Sum of Products (SOP) expression using a five-variable Karnaugh map, follow these steps:

Step 1: Create the Karnaugh map with five variables (A, B, C, D, and E) and label the rows and columns with the corresponding binary values.

```

    C D

A B  00 01 11 10

0 0 |  -  -  -  -

 1 |  -  -  -  -

1 0 |  -  -  -  -

 1 |  -  -  -  -

```

Step 2: Fill in the map with '1' values for the minterms given in the logic function, and '0' for the remaining cells.

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 3: Group adjacent '1' cells in powers of 2 (1, 2, 4, 8, etc.).

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 4: Identify the largest possible groups and mark them. In this case, we have two groups: one with 8 cells and one with 4 cells.

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 5: Determine the simplified SOP expression by writing down the product terms corresponding to the marked groups.

For the group of 8 cells: ABCDE

For the group of 4 cells: ABCDE

Step 6: Combine the product terms to obtain the minimized SOP expression.

F(A,B,C,D,E) = ABCDE + ABCDE

So, the minimized SOP expression for the given logic function is ABCDE+ ABCDE.

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The minimized SOP expression for the given logic function is ABCDE + ABCDE.

We start by creating the Karnaugh map with five variables (A, B, C, D, and E) and label the rows and columns with the corresponding binary values.

A B   C D

00 01 11 10

0 0 |  -  -  -  -

1 |  -  -  -  -

1 0 |  -  -  -  -

1 |  -  -  -  -

We then fill in the map with '1' values for the minterms given in the logic function, and '0' for the remaining cells.

  A B  C D

00 01 11 10

 0 0 |  0  0  0  0

1 |  1  1  0  1

1 0 |  0  1  1  0

1 |  0  0  0  1

we then group adjacent '1' cells in powers of 2:

A B    C D

00 01 11 10

0 0 |  0  0  0  0

1 |  1  1  0  1

1 0 |  0  1  1  0

1 |  0  0  0  1

For the group of 8 cells: ABCDE

For the group of 4 cells: ABCDE

F(A,B,C,D,E) = ABCDE + ABCDE

In conclusion, the minimized SOP expression for the logic function is ABCDE+ ABCDE.

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Answer:

Answer = 3 1/30

Step-by-step explanation:

91/6 x 1/5 = 91/30

divide = 3 1/30

In the form of mixed number we can write the statement as -  \($1\frac{5}{6}\).

We have \(9\frac{1}{6}\) divided by 5.

We have to write the answer as fraction in mixed form.

A number consisting of an integer and a proper fraction is called a Mixed Number.

According to the question, we have -  \(9\frac{1}{6}\) divided by 5

Let  A = \(9\frac{1}{6}\) divided by 5.

Now -

A =  \(9\frac{1}{6}\) divided by 5

A = \(\frac{55}{6}\) ÷ 5

A = \($\frac{\frac{55}{6} }{5}\)= \(\frac{11}{6}\) = \($1\frac{5}{6}\)

Hence, in the form of mixed number we can write the statement as -  \($1\frac{5}{6}\).

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1,4                                

pls give me brainliest thanks and 5 start have nice day I know this is correct.

Answer:

-2 ≤ 2x-4 < 4