Ava drove 3 hours at 45 miles per hour. How many miles did she drive? (F) 45 miles. (G) 48 miles. (H) 90 miles. (I) 135 miles.

The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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Answer:

the solution is x<4 (color green)

Step-by-step explanation:

hello :

draw the graph for the line : y= x-13 ( color bleu)

draw the graph for the line : y= -4x+7 ( color red)

the solution is x<4 (color green)

When we divide 1/2 by 1/8, we get the answer as 4

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division

Here two fractions are given.

We need to divide  1/2 by 1/8

1/2 ÷ 1/8

(1/2)/(1/8)

(1/2)x (8/1)

4

Therefore, upon dividing 1/2 by 1/8 we get the answer as 4

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The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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By understanding the definition of the statistics method, it can be concluded that 57% is an example of the result of inference statistics.

In statistics, the population is defined as the entire research subject, while the sample is a representative or part of the population, which has the same characteristics that can describe and represent the entire population.

There are two methods used to perform data analysis:

a. Descriptive statistics: an analytical method used to describe the characteristics of data. The end result of this method is in the form of tables, charts, graphs, etc.

b. Inference statistics: an analytical method used to draw conclusions about a population based on a sample. The end result of this method is in the form of a possibility or probability and is expressed in percent units.

If we look at the given problem, it is stated that "in a sample of 1,600 registered voters, 912 or 57% approve of the way the president is doing his job"

By understanding the definition of descriptive and inference statistics, it can be concluded that 57% is an example of the result of Inference statistics.

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Answer:

????????????????

Step-by-step explanation:

what's the question

Answer:

70 kilometers

Hope this Helps! :)

In-Depth Explanation: 20 x 3.5 = 70 kilometers

Answer:

70 kilometers

Step-by-step explanation:

20 x 3 is 60

Half of 20 is 10

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

The solution of \(x^3-2x^2+16x-32=0\) is \(\mathbf{x=2,x=4i,x=-4i}\)

So, the real solutions is: x = 2

Imaginary solutions are : x = 4i, x = -4i

Step-by-step explanation:

We need to find real and imaginary solutions to the equations \(x^3-2x^2+16x-32=0\)

First of all we will make groups

\((x^3-2x^2)(+16x-32)=0\)

Finding common terms from the groups

\(x^2(x-2)+16(x-2)=0\\(x-2)(x^2+16)=0\)

Now we know that if ab=0 then a=0 , b=0

\(x-2=0, x^2+16=0\\Simplifying:\\x=2, x^2=-16\\Taking\: square\: root\\x=2,\sqrt{x^2}=\sqrt{-16}\\x=2, x=\pm\sqrt{-16}\\x=2,x=\m\sqrt{-1}\sqrt{16} \\We\:know\:\sqrt{-1}=i \:and \sqrt{x} \:\sqrt{16}=4 \\x=2,x=\pm4i\\x=2,x=4i,x=-4i\)

The solution of \(x^3-2x^2+16x-32=0\) is \(\mathbf{x=2,x=4i,x=-4i}\)

So, the real solutions is: x = 2

Imaginary solutions are : x = 4i, x = -4i

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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Answer:

2--3/5-1= 5/4

Step-by-step explanation:

The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.

The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).

In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.

While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.

In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

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Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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Answer:

13 is better B

14 is letter B

Step-by-step explanation:

if 5 x 6 = 30 and 4 x 6 = 24 then that's the right answer...you just gotta read it! If you dont understand make sure to ask your teacher for help!

Answer:

13: B

14: B

15: A

16: C

Step-by-step explanation:

Answer:

\( \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4\)

\( \longrightarrow \boxed{\tt{\: 34}} \: \)

---------- HappY LearninG <3 ------

Answer:

the answer is 34

Step-by-step explanation:

see the image

Answer:

yes because you have to calculate the numbets

Answer:

check images

Step-by-step explanation:

Hope it's useful!

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Answer:

I

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

The Gina's new balance at the end of the month is $1651.83.

Given,

Gina has a new credit card with an APR of 19.99% and a credit limit of $1300.

The minimum monthly payment is 3% of the new balance.

If Gina purchases $400 in school supplies at the beginning of the month, what will be Gina's new balance at the end of the month?

We need to find out Gina's new balance at the end of the month.

Step 1: Purchase amount

At the beginning of the month, Gina purchases $400 in school supplies.

Step 2: New balance

New balance will be the sum of purchase amount and credit limit.

New balance = $1300 + $400 = $1700

Step 3: Minimum monthly payment

The minimum monthly payment is 3% of the new balance.

Minimum monthly payment = 3% of $1700Minimum monthly payment = 0.03 × 1700 = $51

Step 4: Interest

Interest will be calculated on the new balance.

Interest is calculated per annum, so we need to calculate it for one month only. Monthly interest rate = (19.99/12) × 0.01 = 0.0016658New interest = Monthly interest rate × New balance

New interest = 0.0016658 × $1700New interest = $2.83

Step 5: New balance at the end of the month

New balance at the end of the month = New balance + Interest − Payment

New balance at the end of the month = $1700 + $2.83 − $51New balance at the end of the month = $1651.83

Therefore, the Gina's new balance at the end of the month is $1651.83.

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Question 1

D) relative pronoun

Question 2

A) subject pronoun

Question 3

C) reflexive pronoun

Question 4

B) object pronoun

Hope this helps :)

Step-by-step explanation:

hope it is helpful

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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Answer:

b 1

Step-by-step explanation:

Answer:

10/10 Art. I rate it amazing out of beautiful

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