The weight in pounds of a newborn baby t months after its birth can be modeled by the equation w=1. 75t+6. If the slope is 1. 75, what is the interpretation of the slope in the context of the problem?.

Answer:

Yes he did break the speed limit

Step-by-step explanation:

If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers

Answer:

3000

Step-by-step explanation:

Answer:

The table on the far left is a linear function.

Step-by-step explanation:

The table on the far left is the function

\(y = \frac{1}{2} x\)

Answer: 5

Step-by-step explanation:

Answer:

9(6+7)

Step-by-step explanation:

Answer:

Brauilo is wrong because he divided by (x+1) instead of (x-1)

Step-by-step explanation:

The remainder Theorem states that

if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as

which is why we divide by -1, or subsitue -1 into the equation p(x).

The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.

The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)

From the question, we have the following parameters:

\(\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}\)

\(\mathbf{Divisor =x+ 1}\)

\(\mathbf{Remainder = 17}\)

First, we set the divisor to 0.

\(\mathbf{Divisor =x+ 1 = 0}\)

So, we have:

\(\mathbf{x+ 1 = 0}\)

Solve for x

\(\mathbf{x= -1}\)

The above equation means that, the value of x that will be used to test the polynomial is -1

From the question,

Hence, Braulio is incorrect, because he used the wrong value of x

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In a lottery game, if a player picks 6 numbers then the total 9366819 different choices player have if order doesn't matter.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, regardless of the order of selection. Formula is

ⁿCᵣ = n! /r!(n-r)!

where n is total number of objects

r is total number of choosing objects

We have given that,

In a lottery game total number = 46 = { 1,2,...., 46}

A player can pick total number = 6 numbers

We have to calculate different choices does the player have if order doesn't matter.

Using Combination formula,

we have , n = 46 , r = 6

⁴⁶C₆ = 46!/6!(40!)

=> ⁴⁶C₆ = 46×45×44×43×42×41×40!/40!(6!)

= 46×45×44×43×42×41 /(6×5×4×3×2×1)

= 23×3×7×11×43×41

= 9366819

Hence, the required ways are 9366819..

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The given statement "if you’re comparing the test scores between two groups, you should use a one-sample z-test." is False because you should use two-sample t-test.

If you are comparing the test scores between two groups, you should use a two-sample t-test. A one-sample z-test is used to compare a sample mean to a known population mean when the population standard deviation is known.

However, in most cases, the population standard deviation is unknown, and the sample size is typically small, so a t-test is preferred. The two-sample t-test is used to compare the means of two independent groups. The test assumes that the samples are normally distributed and have equal variances.

If the variances are unequal, a modified version of the t-test called the Welch's t-test should be used. In summary, the appropriate test to use depends on the nature of the comparison being made, the sample size, the distribution of the data, and whether the variances of the two groups are equal or not.

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Step-by-step explanation:

1. convert 2/7

2/7 = 6/21

2. convert 1/3

1/3 = 7/21

3. add 6/21 and 7/21

6/21 + 7/21 = 13/21

4. subtract 13/21 from 21/21

21/21 - 13/21 = 8/21

5. reduce

8/21 is already in the lowest form

The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer: 30 minutes so 1/2 hour

Step-by-step explanation:

Because 3 miles = 1 hour

1.5 times 2 = 3

divide 2 on both sides

Answer:

2 hours

Step-by-step explanation:

divide3 by 1.5 and that is how long it will take you

In interval B the value of the function is negative. The correct option is B.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In the given figure the function is increasing so positively in portion A, and after that, the function is decreasing so negatively in section B. After that, the function is again increasing so positive in section C.

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Answer:

\(2^{5}\)

Step-by-step explanation:

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Then

32 = 2 × 2 × 2 × 2 × 2 = \(2^{5}\)

Answer:

Yes it a right triangle!!

Hope it helps you!!

Answer:

No

Step-by-step explanation:

6^2 + 8^2 doesn't equal 12^2

Answer:

Don't lisen to that the anwer is 0.3125

Step-by-step explanation:

The density of the material in pounds per liter is 10.57 pounds per liter

The density is given as:

Density = 5 ounces per fluid ounce

Convert ounce to pounds

Density = 5 * 0.0625 pounds per fluid ounce

Evaluate

Density = 0.3125 pounds per fluid ounce

Convert fluid ounce  to liter

Density = 0.3125 pounds per 0.0295735 liter

Evaluate

Density = 10.57 pounds per liter

Hence, the density in pounds per liter is 10.57 pounds per liter

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(a) The 80% confidence interval for the average length of stay is [2.567, 3.833]. We are 80% confident that the true average falls within this range. (b) The 99% confidence interval is [1.860, 4.540]. We are 99% confident that the true average falls within this range. (c) To estimate the average within 0.2 with 90% confidence, a sample size of approximately 32 patients is needed.

(a) To calculate the 80% confidence interval, we use the formula

Confidence Interval = Sample Mean ± Margin of Error

The margin of error can be found using the formula:

Margin of Error = Critical Value * (Standard Deviation / sqrt(sample size))

For an 80% confidence level, the critical value (obtained from the t-distribution with 26 degrees of freedom) is approximately 1.318.

Plugging in the values

Margin of Error = 1.318 * (1.6 / √(27)) ≈ 0.633

So the 80% confidence interval is

3.2 ± 0.633 = [2.567, 3.833]

(b) For the 99% confidence interval, we use the same formula but with a different critical value. For a 99% confidence level, the critical value (from the t-distribution with 26 degrees of freedom) is approximately 2.787.

Margin of Error = 2.787 * (1.6 / √(27)) ≈ 1.340

Therefore, the 99% confidence interval is

3.2 ± 1.340 = [1.860, 4.540]

(c) To determine the required sample size to estimate the true average length of stay within 0.2 days with 90% confidence, we use the formula:

n = (Z * σ / E)²

Where Z is the critical value (1.645 for a 90% confidence level), σ is the standard deviation (1.6 days), and E is the desired margin of error (0.2 days).

Plugging in the values

n = (1.645 * 1.6 / 0.2)² ≈ 31.985

Therefore, we need a sample size of approximately 32 patients.

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Answer:

good for Alex, she's got 100 more coins

Answer:

Are you asking how many coins she earned from each gym or-..? 10 gym do be crazy tho

Answer: -12

Step-by-step explanation: When solving this problem, PEMDAS is a key component. What is PEMDAS?

PEMDAS stands for the following:

P- Parentheses

E- Exponents

M-Multiplication

D- Division

A-Addition

S-Subtraction

This is also known as order of operations. Following this order, we can easily simplify the problem.

P-Parentheses

(-2)(-3)^2-2(2-5)

Our parentheses is (2-5). We can simply this to -3. Our problem now is

(-2)(-3)^2-2(-3)

E-Exponents

We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is

(-2)(9)-2(-3)

M- Multiplication

We can simply to.

-18+6

These simplifies into

-12

Answer:

-12

Step-by-step explanation:

-2*9-2(2-5) : Raise -3 to the power of 2

-18-2(2-5) : Multiply -2 by 9

-18-2*-3 : Subtract 5 from 2

-18+6 : Multiply -2 by -3

-12 : Add -18 and 6

Answer:

the answer is 1

Step-by-step explanation:

If you do 1441-11 you get 1430.

no other number gives you 0.

There are 84 ways to buy two objects of different types.

To choose two objects of different types, we can choose one type of object first and then choose one object from that type and one object from the other two types.

The number of ways to choose one type of object is 3 (cups, saucers, or spoons). For each type of object, there are different numbers of objects to choose from:

So, the total number of ways to choose two objects of different types is:

3 x (5 x 4 + 5 x 2 + 4 x 2) = 3 x 28 = 84

Therefore, there are 84 ways to buy two objects of different types.

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To find the maximum value of ε > 0 such that |f(x) - 3| < ε whenever 0 < |x - 0| < 8, we can use a graphing utility to analyze the behavior of the function f(x) = x² + 3. The right answer is (b) ε = 1.5, corresponding to option B, 8 = 1.414.

By plotting the graph of f(x) = x² + 3, we can observe that as x approaches 0, the value of f(x) approaches 3. Therefore, the limit of f(x) as x approaches 0 is indeed 3.

Now, we need to find the maximum value of ε such that |f(x) - 3| < ε holds true whenever 0 < |x - 0| < 8. This means that the function f(x) must stay within a distance of ε from the value 3 for all x within a distance of 8 from 0.

Using a graphing utility, we can visually determine that when ε = 1.5, the function f(x) remains within a distance of 1.5 from 3 for all x within a distance of 8 from 0. Therefore, 8 = 1.414 is the maximum value of ε that satisfies the given condition.

Hence, the correct answer is option B, 8 = 1.414.

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Answer:

≠

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.

A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.

In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.

An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.

By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.

It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.

Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.

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Answer:

D

Step-by-step explanation:

4x + 3 < 3x + 6 ( subtract 3x from both sides )

x + 3 < 6 ( subtract 3 from both sides )

x < 3 → D

Answer:

D x < 3

Step-by-step explanation:

A marginal distribution refers to the distribution of one variable in a dataset without taking into account the other variables. It is the probability distribution of a single random variable. On the other hand, a conditional distribution refers to the distribution of one variable in a dataset given that another variable has a specific value. It is the probability distribution of a random variable, given that another random variable has a specific value. Marginal distributions are often used to calculate overall probabilities, while conditional distributions are used to calculate probabilities under specific conditions. Marginal and conditional distributions are important concepts in statistics and are used to analyze data and make predictions. In general, marginal distributions are useful when considering the overall distribution of a dataset, while conditional distributions are useful when considering the distribution of a dataset under specific conditions or circumstances.
Hi! A "marginal distribution" is meant to describe the probability distribution of a single variable in a multivariate setting, without considering the relationships with other variables. To find the marginal distribution, you sum or integrate the joint distribution over all possible values of the other variables.

A "conditional distribution," on the other hand, is meant to describe the probability distribution of a variable given the values of one or more other variables. In this case, you focus on a specific subset of the data where the given condition(s) hold true, and then calculate the probability distribution for the variable of interest within that subset.

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