Answers
Answer:
1/y^9= y^-9
1/m^15= m^-15
n^3=n^3
1/m^6=m^-6
n^4
w^12
1/32=2^-5
-6=(-6)^1
1^1
Step-by-step explanation:
Step-by-step explanation:
Use the exponent laws to identify which law to use.
1. y^-4 * y^-5 = y^-9
(add the exponents)
2. (m^-3)^5 = m^-3*5 = m^-15
(multiply the exponents)
3. n^-3 * n^6 = n^3
(add the exponents)
4. m^-12/m^-6 = m^-12-(-6) = m^-6
(subtract exponents)
5. (n^-2)^-2 = n^-2*-2 = n^4
(multiply the exponents)
6. w^5/w^-7 = w^5-(-7) = w^12
(subtract the exponents)
7. 2^-3 * 2^-2 = 2^-5
(add the exponents)
8. (-6)^4 * (-6)^-3 = -6^1
(add the exponents)
9. (4^-6)^0 = 4^-6*0 = 4^0 = 1
(multiply the exponents)
Related Questions
Is miguel’s claim correct? yes, the two events are independent because p(nf|pb) = p(nf). yes, the two events are independent because p(pb|nf) = p(nf). no, the two events are not independent because p(pb|nf) ≠ p(pb). no, the two events are not independent because p(pb|nf) ≠ p(nf).
Answers
Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.
What is an independent event?The two events are said to be Independent events if the occurrence of events is not dependent.
We have the given data;
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
The two events will be independent if both are the same.
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Thus, the two events are independent
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Answer:
The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).
Step-by-step explanation:
Hope this helped!
I need help with this math question
Answers
Answer:
9×7 = 63 pine Ave is. 1 hold mile divide it it and will be 63 miles
a cell phone box in the shape of a rectangular prism is shown. the height of the box is 4 cm. the height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. which is closest to the total surface area of the new box?
Answers
The closest value to the total surface area of the new box is 275 cm².
To find the surface area of the new box, we need to first calculate the dimensions of the box. Since the original box is a rectangular prism, it has three dimensions - length, width, and height.
Let's assume that the length and width of the box remain the same and only the height changes. So, the new height of the box will be 4 + 3.5 = 7.5 cm.
To calculate the surface area of the new box, we need to find the area of each face and add them up. The box has six faces - two rectangles for the front and back, two rectangles for the sides, and two rectangles for the top and bottom.
The area of each rectangle can be found by multiplying its length and width. Since we know the height and one other dimension (either length or width) of the box, we can use those dimensions to calculate the other dimension using the formula for the volume of a rectangular prism: V = lwh.
Let's assume that the length of the box is 8 cm and the width is 5 cm (these are just arbitrary numbers). Then, the area of each face is:
- Front and back: 8 cm x 7.5 cm = 60 cm² x 2 = 120 cm²
- Sides: 5 cm x 7.5 cm = 37.5 cm² x 2 = 75 cm²
- Top and bottom: 8 cm x 5 cm = 40 cm² x 2 = 80 cm²
The total surface area of the new box is the sum of these areas, which is 120 + 75 + 80 = 275 cm².
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Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).
The midpoint is
(Simplify your answer. Type an ordered pair)
Answers
midpoint =(X1+X2)/2 ,(Y1+Y2)/2
therefore=
( -1+-3)/2, (-2+13)/2
=(-4/2,11/2)
=(-2,5.5)
Why does the test for homogeneity follow the same procedures as the test for independence?
Answers
Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.
The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.
The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.
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The diagram below consists of a square with unknown side lengths and an inscribed circle. What is the probability that a randomly selected point of the diagram lies within the circular region? State your answer in exact form and explain how you found it.
Answers
The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.
What is the probability that the a randomly selected point on the diagram lies within the circular region?It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.
This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.
Consequently, the area of the circle is equal to;
πr².
However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;
2r × 2r = 4r².
Therefore, the probability is; πr²/4r².
When expressed in its simplest exact form, we have;
π/4.
Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.
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the number of hours spent per week on household chores by all adults has a mean of 26.3 hours and a standard deviation of 7.4 hours. the probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is:
Answers
This question is about probability. The answer for this question is 34,09%.
Step-by-step explanation:
Suppose there was survey that state that the number of hours spent per week on house hold course of adult has mean 26,3 and standard deviatiador 7,4 and, sample are 46.
First, we need to know the base formula for probability given a mean and standard deviation.
First we need to know the z-score with this formula:
z-score =( x -μ )/ δ
Where:
X = individual data
μ = population mean
δ = population standard deviation.
But in this case, we were asked about the probabilty mean of 46 people. Then, we can use this formula :
Z-score =(x- μ) / (δ /√n)
Where :
X = sample mean
μ = population mean
δ = population standard deviation
Then we can find the z-score in z-table value.
Given :
X = 26,75
μ = 26,3
δ = 7,4
n = 46
Question :
Probability mean more than 26,75
Answer :
Z-score = (x- μ) / (δ /√n)
Z-score = (26,75 - 26,3)/ (7,4/√46)
Z-score = (0,45)/ (1,09)
Z-score = 0,4128
if we look in z-score table, we get number 0,6591.The probability that the mean hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is 1 substract by the value of z-score ,
So, the probability mean for working adult more than 26,75 is 1 - 0,6591 = 0,3409 = 34,09%
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a study has two groups of subjects who receive different treatments but take the same posttreatment t test. what analytic statistic will be appropriate?
Answers
To compare the posttreatment t-test scores of two groups of subjects who received different treatments, the appropriate analytic statistic would be a two-sample t-test. An independent samples t-test would be appropriate for analyzing the data.
This test is used to determine whether there is a statistically significant difference between the means of two independent groups. The two-sample t-test assumes that the samples are independent, normally distributed, and have equal variances.
It calculates a t-statistic, which measures the difference between the sample means relative to the variation within the groups, and compares it to a t-distribution to determine the probability of observing such a difference by chance.If the probability is lower than a predetermined significance level (usually 0.05), then we reject the null hypothesis that the two group means are equal and conclude that there is a statistically significant difference between the treatments.
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10 percent increase of $29000 over 5 years,will give brainly is urgent
Answers
Answer:
$43,500
Step-by-step explanation:
10 percent increase of $29,000
10% = 0.10
29,000*0.10 = 2,900
So 2,900 a year
so 2,900*5 = 14,500
Then add
29,000+14,500 = 43,500
Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
4.8 feet
Step-by-step explanation:
Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.
Let x represent the horizontal distance (the adjacent leg)
cosine θ = adjacent / hypotenuse
cosine 76° = x / 20
(20)(cosine 76°) = x
4.8 = x
So, the horizontal distance is approximately 4.8 feet
Pls Help.. Due tomorrow
Answers
Answer: Just try
Step-by-step explanation:
You can do this just try your best!
Choose the INCORRECT statement below.
Answers
#3, the transformation can be represented by (x, -y)
i) Multiply: (3.1x10°) x ( 1.5 x 10) = j) Divide: (3.1x10) / ( 1.5 x 10') = Small angle formula is a very useful approximation for angles smaller than about 0.25 radian (~15°). It allows calculation
Answers
i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).
j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).
i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).
j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).
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What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
Answers
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
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Answer:
Step-by-step explanation:
I took the quiz :)
size N becomes large, sample mean of IID random sample from a population is getting very small. 2) If IID random samples of size N are from a normal distribution, the random variable T = mean(c) propean({ X) is oft-distribution with N degree of freedom. widerr a) Only the first b) Only the second c) Both of them d) None of them
Answers
a) Only the first statement is true. As the sample size N becomes large, the sample mean of IID random samples from a population becomes more precise and approaches the true population mean.
However, there is no direct relationship between the sample size and the distribution of the sample mean.
The second statement is only true if the population is normally distributed. If the population is not normal, the distribution of the sample mean may not be normal, and the central limit theorem may not apply. Therefore, option c) is not the correct answer. Option d) is also not correct as the first statement is true.
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a pole that is 2.8m tall casts a shadow that is 1.49m long. at the same time, a nearby building casts a shadow that is 37.5m long. how tall is the building? round your answer to the nearest meter.
Answers
The height of the building is 71 meters.
We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:
(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)
Substituting the given values:
2.8 / 1.49 = (height of building) / 37.5
To find the height of the building, we can cross-multiply and solve for it:
(2.8 * 37.5) / 1.49 = height of building
Calculating the expression on the right side:
(2.8 * 37.5) / 1.49 ≈ 70.7013
Rounding to the nearest meter, the height of the building is approximately 71 meters.
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What is the positive square root of 16?
Answers
Answer:
4
Step-by-step explanation:
because The square root of 16 is 4, which is a rational number.
Answer:
4
Step-by-step explanation:
Which value of x is in the domain of f(t) = squared x - 7
O A. x= 8
O B. x = 0
C. x= -3
O D. x = 6
SUBMIT
Answers
Given:
The given function is:
\(f(x)=\sqrt{x-7}\)
To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,
\(f(x)=\sqrt{x-7}\)
We know that the square root is defined for non negative values. So,
\(x-7\geq 0\)
\(x\geq 0+7\)
\(x\geq 7\)
Thus, the domain of the given function is all real number that are greater than or equal to 7.
In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, \(x=8\) is in the domain of the given function.
Therefore, the correct option is A.
Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?
Answers
Complete Question
Lisa needs 18 yards of red, gold, and green fabric to make a quilt.
She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?
Answer:
6 11/12 yards
Step-by-step explanation:
The total yards of fabric = Red + Blue + Green
18 = 6 3/4 + 4 1/3 + Green
Green = 18 - (6 3/4 + 4 1/3) yards
Lowest Common Denominator = 12
18 - (10 + ( 3/4 + 1/3) yards
18 - (10 + ( 9 + 4/12) yards
18 - ( 10 + 13/12) yards
18 - ( 10 + 1 1/12) yards
18 - 11 1/12 yards
= 6 11/12 yards
Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards
what scale of measurement is used for the independent variable
Answers
The scale of measurement used for the independent variable in a research study is determined by the nature of the variable and the research question. The four scales of measurement are nominal, ordinal, interval, and ratio.
Nominal scales are used for variables that have no inherent order, such as gender or race. Ordinal scales are used for variables that have a specific order, but the difference between each value is not necessarily equal, such as education level or socioeconomic status. Interval scales are used for variables where the difference between each value is equal, but there is no true zero point, such as temperature or time. Ratio scales are used for variables where the difference between each value is equal, and there is a true zero point, such as weight or height.To know more about scale of measurement, visit:
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A scale model of a merry-go-round and the actual merry-go-round are similar. a. How many times greater is the base area of the actual merry-go-round than the base area of the scale model? Explain. The ratio of the corresponding lengths is : 1. So, the ratio of the areas is : 1 and the base area of the actual merry-go-round is times greater than the base area of the scale model. b. What is the base area of the actual merry-go-round in square feet? The base area of the actual merry-go-round is square feet.I'm not understanding how to get the base area of the actual merry-go-round
Answers
We have that the ratio for the length is 10/6 = 5/3.
Then we have that:
\(\frac{\pi\cdot R^2}{\pi\cdot r^2}=\frac{10^2}{6^2}=\frac{100}{36}=\frac{25}{9}\)Then,
\(\frac{BigArea}{450}=\frac{25}{9}\Rightarrow BigArea=\frac{25\cdot450}{9}\Rightarrow BigArea=1250ft^2\)The ratio of the lengths is 5/3 : 1
The ratio of the areas is 25/9 : 1
Find the average velocity (in m/s) of a cyclist that starts 200 meters North of town and is 1400 meters North of town after cycling for 20 minutes
Answers
Answer:
The average speed is 1 meter per second
Step-by-step explanation:
Here, we want to calculate average speed
Mathematically;
Average speed = Total distance/Total time
In this case, the total distance traveled = 1400-200 = 1,200 meters
Total time taken = 20 minutes
Since 60 seconds = 1 minute; 20 minutes is 20 * 60 = 1200 seconds
So average speed = 1200 meters/1200 seconds = 1 meter/second
What is the solution for x2-18x <-77?
Ox<-11 or x>7
Ox<-7 or x> 11
0-11
07
Answers
The solution of the inequality, x² - 18x ≤ -77, when factorized is: 7 ≤ x ≤11
What is the Solution of an Inequality?The solution to an inequatlity is the value of the variable that makes the inequality true.
Given the following:
x² - 18x ≤ -77
Solve as shown below:
x² - 18x + 77 ≤ 0
Factorize
7 ≤ x ≤11
Therefore, the solution of the inequality, x² - 18x ≤ -77, when factorized is: 7 ≤ x ≤11
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........help me........
Answers
Using the formula of volume of rectangular prism;
1. The volume of the rectangular prism is 3672cm³
2. The volume of the rectangular prism is 630in³
3. The volume of the rectangular prism is 3744ft³
What is the volume of the rectangular prism?The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:
Volume = length × width × height
V = l × w × h
By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.
1. To find the volume of the rectangular prism, we have to substitute the value into the formula;
v = 9 * 24 * 17
v = 3672cm³
2. The volume of the rectangular prism is given as;
v = 4.5 * 14 * 10
v = 630in³
3. The volume of the rectangular prism is given as;
v = 8 * 12 * 39
v = 3744ft³
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A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answers
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
3) Bella recorded data and used her graphing calculator to find the equation for
the line of best fit. She then used the correlation coefficient to determine the
strength of the linear fit. Which correlation coefficient represents the strongest
linear relationship?
-0.9
0.3
-0.5
0.8
Answers
Answer:
-0.9
Step-by-step explanation:
my guess
it's supposed to be the a number closest to 1 or-1
so
-0.9 is the closest number to 1 or -1
The answer to this question is:
0.8
What is line of best fit and correlation coefficient?
A straight line that best approximates the given set of data is known as a line of best fit. It is a line that, on a graph, roughly straddles the center of each scatter point. The association is stronger the closer the points are to the line of greatest fit.
The equation of a line of a best fit is represented as: y=mx + c
To gauge how closely two variables are related to one another, correlation coefficients are used.
Solution:
In order to determine how closely related two sets of data are, correlation coefficient formulas are used. The formulas provide a value in the range of -1 and 1, where
1 denotes a strongly positive association.A score of -1 indicates a very adverse association.A result of zero means there is absolutely no associationThe strength of the link between the variables increases with the distance between the coefficients of +1.0 and -1.0.
-0.9 is a value which is greater than -0.8, so the values which are greater than -0.8 are not considered as strong correlation coefficient.
Whereas the values which are less than 0.8 are also not considered as strong coefficients.
Hence 0.8 is the correlation coefficient which represents the strongest linear relationship.
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Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
Determine the average rate of change in median age per year from 1930 to 1960.
a.
-0.5 years of age per year
b.
20 years of age per year
c.
-0.05 years of age per year
d.
+0.05 years of age per year
Answers
-0.05 is the average rate of change in median age per year from 1930 to 1960.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, a data set that gives the median age of an American man at the time of his first marriage.
Year Median age
1910 25.1
1920 24.6
1930 24.3
1940 24.3
1950 22.8
1960 22.8
1970 23.2
1980 24.7
1990 26.1
2000 26.8
The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)
The average rate of change from 1930 to 1960 = -0.05
Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.
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A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?
Answers
Answer:
a
Step-by-step explanation:
Answer:
253.5 miles
Step-by-step explanation:
This problem can be solved by using the concept of "ratios" and "proportions."
Step 1: Check for the "known" and "unknown" variables.
The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.
Step 2: It's time to plug the values into the proportion.
5 gallons/ 97.5 miles = 13 gallons/ x miles
Step 3: Solve the proportion.
5/97.5 = 13/x = ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles
What is the value of x?
Answers
Answer:
it's 19 degrees because it's a 90 degree angle
Answer:
19 degrees
Step-by-step explanation:
90-71=is 19 because it is a 90 degree angle.
HELPPP ME OUTTTT SOMEONEEEE!!!
Answers
Answer:
68 degrees
Step-by-step explanation:
we can consider 54 to be the radius of a circle.
sin of an angle is the distance of a point on a circle from the x-axis multiplied by the radius, as the standard sin function is defined for the standard circle with radius 1.
so, 50 is the sine of the angle in a circle with radius 54.
50 = sin(?)×54
sin(?) = 50/54 = 0.9259...
? = 67.81... degrees ≈ 68 degrees