A rope is 1012 meters long. A piece of rope 458 long is cut off from the total length of the rope. What is the remaining length?

Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:  Your image is too blurry to read, but the third graph from the left is correct for y=-2x+5

Step-by-step explanation:  This equation is already in the slope-intercept form: y=mx+b. In the slope-intercept form, m=slope of the line and b=intercept. For your equation, the slope is -2 and the y-intercept is where y=5. To graph the line, the -2 slope is down 2 on the y-axis for every +1 on the x-axis. Please see my attached image for the graph.

Answer:

The acceleration of golf ball will be greater than the bowling ball.

Step-by-step explanation:

As the golf ball is light thing that will travel far but the bowling ball is heavier than the golf ball.So the acceleration of the golf ball will be more.

Answer:36

Step-by-step explanation:360 * 0.1 = 36 or 360/10 = 36

The algebraic expression for the quotient of 1 and the square of a number is written as 1/y²

An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.

These expressions also said to be made up of numerous mathematical or arithmetic operations, which includes;

From the information given, we have that;

The quotient of 1 and the square of a number

Now, let the number in this case be y

This expression can be represented as;

1/ (y)²

expand the bracket

1/y²

Hence, the expression is 1/y²

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Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology.

He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!

Product details

Publisher ‏ : ‎ Pearson; 4th edition (8 January 2018)

Language ‏ : ‎ English

Hardcover ‏ : ‎ 1224 pages

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Answer

Step-by-step explanation:

3+2=5

5 squared= 25

25-7= 18

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

Step-by-step explanation:

Answer:

49/250 I think I'm not sure though

Answer:

\(\frac{59}{300}\)

Step-by-step explanation:

Recall that \(\frac{x}{9}\) returns the decimal \(0.\overline{x}\). In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.

0.19 as a fraction is simply \(\frac{19}{100}\)

\(\frac{6}{9}\) returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: \(\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}\)

Adding these two fractions, we get:

\(\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}\)

9514 1404 393

Answer:

  91 rad/s

Step-by-step explanation:

The relationship between angular velocity (ω) and constant angular acceleration (ω') is ...

  ω(t) = ω0 + t·ω'

  ω(0.25) = 95 = ω0 + 0.25(16)

  95 -4 = ω0 = 91 . . . rad/s

The initial angular speed was 91 radians per second.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Set up a proportion!

40 minutes / 5 holes = m minutes / 20 holes

Cross multiply.

800 = 5m

m = 160.

It will take him 160 minutes to dig 20 post holes.

Good luck Fabian!

Hope this helps

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

Answer:

x=4

Step-by-step explanation:

distribute the 5: 10x-5=35

add 5 to both sides: 10x=40

divide both sides by 10: x=4

Answer:

c(x) = 5x + 20

Step-by-step explanation:

there is a fixed membership fee of 20$ and each day cost 5$

Answer:

Below

Step-by-step explanation:

Slope , m, is calculated  (y1-y2) / ( x1-x2) =

   Using the first two points :   (-5-0) / (-3 -0) = 5/3

slope = 5/3

Answer:

The submarine will be at -50 feet after the descent.

Step-by-step explanation:

A submarine at -20 feet descends 30 feet. What is the submarine's current location after the descent?

If the starting point is -20 feet and it says that the submarine goes down another 30 feet we can write an equation and solve it.

Descending indicates going down or subtraction.

Let x=the current location after the descent.

-20+(-30)=x

-20-30=x

-50=x

The submarine will be at -50 feet after the descent.

Hope this helps :)

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Answer:

f(11) = 78

Step-by-step explanation:

f(x) = 7(x-1) + 8

f(11)

this means that the problem wants us to find what the value of this function is when x is 11

x = 11

f(11) = 7(11-1) + 8

=7(10) + 8

= 70 + 8

= 78

Answer:

the answer is C . π×(92)2

Step-by-step explanation .

Answer:

π×92

Step-by-step explanation:

C: 41 is the missing value in the table

Answer:

2300 apples

Step-by-step explanation:

2500 - 200 = 2300

Answer:

2300

Step-by-step explanation:

2500 - 200 = 2300

Note: "have left" means the answer after subtraction.

Answer:

796 feet

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

We know that -3 is on the x axis and 3 is on the y axis.

and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.

Answer:

y=3

Step-by-step explanation:

In a normal equation, y=mx+b, m=slope. If slope=0 in this equation, then it is safe to say that the equation is y=b. Since the Y coordinate is 3, then we can safely assume that the equation is equal to y=3

Answer:

0.41

Step-by-step explanation:

Step-by-step explanation:

29/8= 3.625

It lies between 3 and 4

Hope this helped!

Answer:

Between 3 and 4 pieces of fabric.

Step-by-step explanation:

29/8 is equal to 3.625, which you can round up to 4 or round down to 3, since they are both the nearest whole numbers to 3.625.

Answer:

4/5

Step-by-step explanation:

If the census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, the level of confidence would decrease.

This is because the level of confidence is directly proportional to the sample size in statistical analysis. The larger the sample size, the higher the level of confidence, and vice versa. When the sample size is smaller, there is less data to analyze, and the results may not be as reliable.

The level of confidence in statistical analysis refers to the probability that the results obtained from a sample are representative of the entire population. For example, if the level of confidence is 95%, this means that if the same survey were conducted 100 times,

95 of those surveys would produce results within the specified margin of error. Therefore, when the sample size is smaller, there is a higher chance that the results obtained from the survey are not representative of the entire population.

This is why increasing the sample size is often recommended in statistical analysis to improve the accuracy and reliability of the results obtained.

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The required error interval for y(probability of picking two green

apples) is  [1/4, 1/4].

The probability of picking two green apples can be calculated by multiplying the probability of picking a green apple on the first pick by the probability of picking another green apple on the second pick, given that the first pick was a green apple.

Let's call the number of green apples in the crate G, and the number of red apples in the crate R. Based on the given information, the ratio of green to red apples is 2:1, so we have G = 2R.

The probability of picking a green apple on the first pick is G/(G + R), and the probability of picking a green apple on the second pick, given that the first pick was a green apple, is (G-1)/(G + R - 1).

Therefore, the probability of picking two green apples is:

y = (G/(G + R)) * ((G-1)/(G + R - 1)) = (G/(G + R))²

Since we know that G = 2R, we can substitute that into the equation for y to get:

y = (2R/(2R + R))² = (2/(3R + R))² = (2/4R)² = 4/16 = 1/4

So the error interval for y is [1/4, 1/4].

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