Read the expert from chapter 6 of who is sonia sotomayor

it is answer c/ x>-1

Step-by-step explanation:

4x-3>-7

add 3 to both sides

4x-3+3>-7+3

4x>-4

divide both sides by 4

4x/4 > -4/4

Answer:   3.3 * 10^5

This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever

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Work Shown:

(2.5 * 10^8)/(7.5 * 10^2)

(2.5/7.5) * 10^(8-2)

0.3333 * 10^6 .... this is approximate

3.333 * 10^(-1) * 10^6

3.333 * 10^(-1+6)

3.333 * 10^5

3.3 * 10^5

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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Answer: the slope of the line is B), -1/2

To compare the profiles of temperature and salinity for Argo Float 108683 in the Eastern Tropical North Pacific on April 16, 2012 (Profile 001) and April 16, 2016 (Profile 138), follow these steps:

Locate the data: Visit the Argo Data Management site (http://www.argodatamgt.org/) and search for Argo Float 108683 using the ArgosID. Download the data for the specific dates (April 16, 2012, and April 16, 2016).

Plot the graphs: Using a data analysis tool like Excel or Python, create plots of temperature with depth and salinity with depth for both profiles. Ensure that you label the axes and include units.
Compare the profiles: Examine the shapes of the temperature and salinity profiles for both years, focusing on the mixed layer depth and the main thermocline depths.

Based on general ocean circulation, we would expect temperature profiles in the Eastern Tropical North Pacific to show a well-mixed layer near the surface with a rapid temperature decrease below the mixed layer depth, leading to the main thermocline.

Differences between years could be attributed to several factors, such as variations in seasonal weather patterns, changes in ocean circulation, or anomalies like El Niño events. These factors could affect the mixed layer depth, main thermocline depths, and surface features, leading to differences in the temperature and salinity profiles for the two years.

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Answer:

x = -4

y = -3

Step-by-step explanation:

-5y + 3x = 3

-8y + 9x = -12​

Time the first equation by -3

15y - 9x = -9

-8y + 9x = -12

7y = -21

y = -3

Now put -3 in for y and solve for x

-5(-3) + 3x = 3

15 + 3x = 3

3x = -12

x = -4

Let's Check

-5(-3) + 3(-4) = 3

15 - 12 = 3

3 = 3

So, x = -4 and y = -3 is the correct answer.

Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

The sample mean is significantly different from 10 at a 0.1 significance level.

The null hypothesis is a statement about the population parameter that we are testing, and the alternative hypothesis is the complement of the null hypothesis. The significance level is the probability of rejecting the null hypothesis when it is true.

In this case, we can use the following null and alternative hypotheses:

Null hypothesis: The population mean is equal to 10.

Alternative hypothesis: The population mean is not equal to 10.

We will use a two-tailed test because the alternative hypothesis is not directional.

We can use the t-test to test the null hypothesis. The t-test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

\(t = (11 - 10) / (3.2 / \sqrt{10} ) = 1.58\)

We need to find the critical value of t at the 0.1 significance level with 9 degrees of freedom (10 - 1 = 9). We can use a t-table or a statistical software to find this value. The critical value is ±1.833.

Since the calculated t-value of 1.58 is not greater than the critical value of ±1.833, we cannot reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is different from 10 at the 0.1 significance level.

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The remainder when the polynomial function is divided by x - 12 is 10,630

Given the polynomial function. f(x) = 3x5 + 2x4 + 5

In order to get the remainder when divided by the function x - 12

Let r(x) = x- 12

If x - 12 = 0, then x = 12

Substitute x = 12 into the polynomial function to get the remainder.

Recall that P(x) =3x^5 + 2x^4 + 5

P(12) = 3(5)^5 + 2(5)^4 + 5

P(12) = 9375 + 1250 + 5

P(12) = 10,630

Hence the remainder when the polynomial function is divided by x - 12 is 10,630

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The two-tailed test seeks evidence that the population parameter

(1) is not equal to the population parameter (2).

In a two-sample hypothesis test, a two-tailed test is employed to determine if there is evidence that the population parameter (1) differs from the population parameter (2).

This test is useful when we want to examine whether the two populations have significantly different means, proportions, or other relevant parameters.

The two-tailed test considers two possible alternative hypotheses: the population parameter (1) is either greater than the population parameter (2), or it is smaller than the population parameter (2). By considering both directions of the difference, we can evaluate the possibility of a significant difference in either direction.

In a two-tailed test, the null hypothesis assumes that the population parameters (1) and (2) are equal. The alternative hypothesis, on the other hand, states that there is a significant difference between the two population parameters. By conducting the test, we gather evidence to either support or reject the null hypothesis.

To perform a two-tailed test, we follow a standardized process. We calculate the test statistic, such as the t-statistic or z-statistic, and compare it to the critical value(s) from the appropriate distribution. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is evidence of a significant difference between the population parameters.

Hypothesis testing, specifically two-sample hypothesis testing, can provide a deeper understanding of statistical analysis. By exploring the various types of tests, their assumptions, and applications, researchers and analysts can make informed decisions based on reliable evidence. Additionally, understanding the nuances of hypothesis testing contributes to the development of robust experimental designs and accurate interpretation of results.

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Erica can make a maximum of 5 hamburger patties with the amount of meat she has.

In scientific and mathematical computations, unit conversions are crucial because they guarantee that data are stated in the proper units, enabling consistency and correctness. To combine or compare numbers and to understand the findings meaningfully, values must be converted to a standard unit of measurement. Calculation mistakes and erroneous conclusions can result from improper unit conversion.

Given that, a hamburger patty weighs about 6 ounces before it is cooked.

Thus,

2.2 pounds = 35.2 ounces (1 pound = 16 ounces)

35.2 ounces / 6 ounces per patty = 5.87

Erica can make a maximum of 5 hamburger patties with the amount of meat she has.

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Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(x,y)

(x-coordinate,y-coordinate.)

Answer:

Terrance would run 20/4 of a mile or 5 miles

Step-by-step explanation:

Answer:

y = -12/11 is the equation

Step-by-step explanation:

The equation of a line in the slope-intercept form is;

y = mx + b

if slope is 0

y = b

So what we have to do here is to substitute the value of y;

b = -12/11

Thus, the equation is;

y = -12/11

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer:

Train B is going faster than Train A

Step-by-step explanation:

The distance travelled by Train A, d = 80t

The distance travelled by Train B is given as follows;

Time (hours)  \({}\)                     Distance (km)

2                   \({}\)                         190

4                   \({}\)                         380

5                   \({}\)                         475

Therefore, we have that the rate of change of Train B is given as follows;

(475 - 380)/(5 - 4) = 95 km/h

(475 - 190)/(5 - 2) = 95 km/h

The rate of change of Train B = 95 km/h

While the distance covered by Train A per 1 hour, t = 1 is given as follows

Distance covered in 1 hour for Train A, d = 80 ×  1 = 80 kilometers

The rate of train A = Distance covered/(Time in which the distance was covered)

The rate of train of change A = 80 km/(1 hour) = 80 km/hour

The rate of train of change A = 80 km/h

Therefore, Train B is going faster than Train A.

Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

To analyze Sheba's motion during dock diving, we can break down her initial velocity into horizontal and vertical components.

Given an initial speed of 8.72 m/s and an angle of 28 degrees, we can calculate the horizontal and vertical velocities using trigonometry.

The horizontal velocity (Vx) can be found using the cosine function:

Vx = V * cos(angle)

Vx = 8.72 m/s * cos(28 degrees)

Vx ≈ 7.81 m/s

The vertical velocity (Vy) can be determined using the sine function:

Vy = V * sin(angle)

Vy = 8.72 m/s * sin(28 degrees)

Vy ≈ 4.09 m/s

So, Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

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the example of a permutation is: A) The number of ways 3 people can win 3 different prizes.

A) The number of ways 3 people can win 3 different prizes.

This scenario involves the arrangement of 3 people winning 3 different prizes. Since the order in which the people win the prizes matters, this is an example of a permutation. For instance, if we have three people named A, B, and C, the possible permutations of them winning the prizes could be A winning the first prize, B winning the second prize, and C winning the third prize. Therefore, option A is an example of a permutation.

B) Picking 10 CDs to lend to a neighbor from a collection of 35.

This scenario involves selecting 10 CDs out of a collection of 35. The order in which the CDs are selected does not matter; only the selection itself is important. Therefore, this is an example of a combination rather than a permutation. Option B does not represent a permutation.

C) The number of ways 8 books can be selected from 10 to take on a trip.

Similarly to option B, this scenario involves selecting 8 books out of a group of 10 books. The order of the selected books does not matter; only the selection itself is relevant. Thus, this is also an example of a combination rather than a permutation. Option C does not represent a permutation.

D) Selecting 4 students to represent their class for the school.

This scenario involves selecting 4 students from a group to represent their class. Since the order in which the students are selected does not matter, this represents a combination rather than a permutation. Option D does not represent a permutation.

Option A

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Answer:

0.205 (rounded)

Step-by-step explanation:

Perform long division by multiplying the numbers by 1000 to remove the decimals and then solving. Or you could have just used a calculator lol. So I did like 5 digits of it, and you could just round to 0.205, I wouldn't go too far with the decimals even though it is a terminating decimal I believe.

Answer:

it is b my guy :)

Step-by-step explanation:

-1 < x < 3

The given inequality is:

2 < 3x + 5 < 14

Step 1: Subtract 5 from all the sides of the inequality

2 - 5 < 3x + 5 - 5 < 14 - 5

-3 < 3x < 9

Step 2: Divide through by 3

The solution to the given inequality is -1 < x < 3

The graph for the solution of the inequality is given below:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.

This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.

By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.

On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.

This method may not provide the same level of control in selecting participants based on specific characteristics.

While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.

It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.

Therefore, option A is incorrect.

Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.

Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.

Thus, the correct answer is option C.

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Answer:

72

Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches

The total calories burned during the workout and walk is 967 calories.

To calculate the total calories burned during a workout and a subsequent walk, the formula is Total calories burned = Calories burned during the workout + Calories burned during the walk.

In this case, the workout burned 712 calories. After the workout, the person took a walk that burned 255 calories per hour. The duration of the walk is not given, so let’s assume that the person walked for 1 hour.The calories burned during the walk are 255 calories per hour, and the duration of the walk is 1 hour.

Therefore, the calories burned during the walk are:

255 calories/hour × 1 hour

= 255 calories

The total calories burned during the workout and walk can now be calculated by using the formula:

Total calories burned = Calories burned during the workout + Calories burned during the walk

Total calories burned = 712 calories + 255 calories

Total calories burned

= 967 calories

Therefore, the total calories burned during the workout and walk is 967 calories.

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The number 5/8 as a decimal is 0.625

As we divide a whole into smaller parts, we get decimals. Hence, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.   

An informal way to read a decimal is to first read the whole number as you would any whole number, then the decimal point as "point," and finally each individual digit of the rational part.

the decimal of 5/8 is

5÷8 = 0.625

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