Answer:
where are the quantities?
Alebra 1 - 10pts
Solve for x.
x/4 ≥−8
A. x≤−2
B. x≤−32
C. x≥−32
D. x≥−2
Answer:
C. x≥−32
Step-by-step explanation:
Multiply both sides by 4
Answer:
C, you have to multiple both sides. Let me know if you need it explained further.
Step-by-step explanation:
The results of a two-tailed hypothesis test are reported as follows: t(21) = 2.38, p < .05. What was the statistical decision and how big was the samp
The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.
The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).
The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.
In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).
for such more question on statistical decision
https://brainly.com/question/27342429
#SPJ11
in 37.2 the ones place and the tenths place is separ
ated by a what?
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:
Guide Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of watermelons that Micah has remaining?
Answer:
"28 - w"
Step-by-step explanation:
Micah has 28 watermelons
He sells w
28 take away w
28 - w
An alternative could be "28 - w = m"
In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by:X 0 10 50 100P(X) 1⁄12 1⁄6 1⁄3 5⁄12Calculate the mean and variance of this sampling distribution.a) mean = 60.00; variance = 2600.00b) mean = 55.00; variance = 37.64c) mean = 61.08; variance = 37.64d) mean = 60.00; variance = 1416.67e) mean = 61.08; variance = 1416.67
The value of mean is 59.8 and the variance of the sampling distribution is 1440.46
Given,
In the question:
The distance X is measured in miles and the sampling distribution of X is given by;
X :- 0 10 50 100
P(X) : - 1 /12 1/6 1/3 5/12
Calculate the mean and variance of this sampling distribution.
Now, According to the question:
The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.
Then you first calculate E [x] and E [\(x^{2}\)], and then be able to calculate the variance.
E[x] = 0 × 1/12 + 10 × 1/6 + 50 × 1/3 + 100 × 5/12
E[x] = 1.6 + 16.6 + 41.6
Mean/ E[X] = 59.8
So E[X]²= 59.8² = 3576.04
On the other hand
E[\(x^{2}\)] = \(0^2\) × 1/12 + \(10^2\) × 1/6 + \(50^2\) × 1/3 + \(100^2\) × 5/12
E[\(x^{2}\)] = 0 + 16.6 + 833.3 + 4166.6
E[\(x^{2}\)] = 5016.5
Then the variance will be:
Var[x]= E[\(x^{2}\)] - E[X]²
Var[x] = 5016.5 - 3576.04
Var[x] = 1440.46
Hence, The value of mean is 59.8 and the variance of the sampling distribution is 1440.46
Learn more about Mean and Variance at:
https://brainly.com/question/15811075
#SPJ4
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
More can be learned about the binomial distribution at https://brainly.com/question/24756209
#SPJ1
As soon as a new car that costs $25,000 $ 25,000 is driven off the lot, it begins to depreciate at a rate of 24.9% 24.9 % annually. About how much money is the car worth after the second year?
Answer:
14,100.03 (just finished a test with this question and got it correct)
The car is worth about $14,100.03 after the second year.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
If a car depreciates at a rate of 24.9% annually, then its value at the end of each year is 75.1% of its value at the beginning of the year (100% - 24.9% = 75.1%).
After the first year, the car's value is:
$25,000 × 0.751 = $18,775.00
After the second year, the car's value is:
$18,775.00 × 0.751 = $14,100.03
Therefore, after the second year, the car is worth about $14,100.03.
Learn more about the depreciation rate here:
https://brainly.com/question/12228422
#SPJ3
The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
To know more about indexing system visit:
https://brainly.com/question/30967479
#SPJ11
The principal would like to assemble a committee of 11 students from the 18-member student council. How many different committees can be chosen?
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
For more question on vector click on
https://brainly.com/question/15519257
#SPJ11
Question 11
Find the slope between the two given points.
Answer:
Pretty sure the Answer is b. and if not b then c.
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1.
7-3/2-9=4/-7
Answer:
D. m=-4/7
Step-by-step explanation:
To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)
X is the first number in the parenthesis and Y is the second
A includes X1 and Y1 and B includes X2 and Y2
substitute your numbers into the equation to make
7-3/2-9 then you just subtract to get 4/-7 or -4/7
When the 6 buses arrive, they find out that each bus only holds 40 people. The
rest will have to go to the Publick Playhouse in cars.
Jorge says that, if each car holds 4 passengers, they will need 5 cars to take the
rest of the passengers, because there are 22 people who won't fit on the buses,
and 22-4=5 with a remainder of 2. Explain why Jorge is wrong, and show how many cars they will need
Jorge is wrong because he is using the wrong method to calculate the number of cars needed. When dividing 22 by 4, the result is not 5 with a remainder of 2, but rather 5 with a remainder of 2.
What is an example of a unitary method?
The term "unitary" refers to a single or separate unit. As a result, this strategy's objective is to establish values in terms of a single unit. For instance, if a car travels 44 kilometres on two litres of gas, the unitary technique can be used to determine how many kilometers it will drive on one.
To find the number of cars needed to transport the remaining passengers, we can use the following method:
Divide the number of remaining passengers by the capacity of each car to find the number of full cars needed: 22 passengers / 4 passengers per car = 5.5 cars
Round up to the nearest whole number to find the total number of cars needed: 6 cars
Therefore, the group will need 6 cars to transport the remaining passengers.
Learn more about unitary method
https://brainly.com/question/24587372
#SPJ4
Truck drivers report the mileage or the number of miles (M) traveled per gallon of gas (G) for each trip. Which driver went the farthest on one gallon of gas.
Answer:
B. AndyStep-by-step explanation:
Kelly's mileageThis is proportional relationship, so one pair of coordinates is enough for our calculation, point (20, 50):
m = 50/20 = 2.5 gAndy's mileageUse one pair of points from the table to calculate (15, 78.75):
m = 78.75/15 = 5.25 gRick's mileage is given:m = 4.8 gComparing, we see Andy's mileage is largest.
Andy will travel farther than the other drivers.
Evaluate the finite geometric series for the specified number of terms. 1 + 2 + 4 + 8 + 16 + ...; n = 27
Find the measure of ∠DBF (HURRY ASAP)
Answer:
This graph is kind of funky, but it should be 70
Step-by-step explanation:
23+47=70
Please mark Brainliest!!!
Answer:
70
Step-by-step explanation:
Mr. George is thirteenth from the top and twenty seventh from the bottom in the queue. How many persons are there in the queue
The number of persons in the line are 39.
According to the statement
We have given that the Mr. George is thirteenth from the top and twenty seventh from the bottom in the queue
And we have to find the number of persons in the queue.
So, For this purpose, we know that the
The given is that the position of the Mr. George is 27 from the last or bottom and
Mr. George is thirteenth from the top.
So, To find the total number of persons in the line we have to add the given numbers, here we have to find the number of persons in queue..
So he has skipped 12 numbers. 27th from bottom means it's 27+12=39 .
It means there are 39 persons in the line.
So, The number of persons in the line are 39.
Learn more about number of persons here
https://brainly.com/question/11408596
#SPJ4
I dont know what im doing Help Meeee
Answer:
the x = 0 and y = 1
so start off at the zero on the x-axis, and move up to the 1 on the y- axis
Some theories of emotion employ a factor approach. In one conceptualization, the first factor is ________, or how pleasant or unpleasant the stimulus is, and the second factor is ________, or how intense the emotional response is:_________.
a. benignity; excitation
b. excitation; benignity
c. valence; arousal
d. arousal; valence
Answer:
the answer is c
a person who works from home in sales earned an average of $2,350 per month over the past 12 months with a standard deviation of 175. calculate 90% confidence interval for the true mean income per month. round to 2 decimal places.
After calculating the 90% confident true mean income per month of a person who works from home in sales falls between $2146.47 and $2553.53.
To calculate the 90% confidence interval for the true mean income per month of a person who works from home in sales, we can use the following formula:
\(CI = X' ± Z\frac{a}{2}\) * (σ/√n)
here:
X' = sample mean
Zα/2 = z-score that corresponds to the desired level of confidence (in this case, 90%)
σ = population standard deviation
n = sample size
Placing the values
CI = 2350 ± 1.645 * (175 / √12)
= [2146.47, 2553.53]
After calculating the 90% confident true mean income per month of a person who works from home in sales falls between $2146.47 and $2553.53.
To learn more about standard deviation
https://brainly.com/question/475676
#SPJ4
Find an explicit formula for the geometric sequence -40,-20,-10......
Note: the first term should be c(1).
c(n)= ?
Answer:
The explicit formula for the geometric sequence is \(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\).
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
\(c(n) = c_{1}\cdot r^{n-1}\), \(n \ge 1\) (1)
Where:
\(c_{1}\) - First term.
\(r\) - Geometric rate.
\(n\) - Position of the element within the series.
If we know that \(c_{1} = -40\) and \(r = \frac{1}{2}\), then the explicit formula for the geometric sequence is:
\(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\)
The explicit formula for the geometric sequence is \(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\).
A χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value is
A. a large negative number.
B. close to 1.
C. exactly 1.96
D. close to 0.
E. a large positive number.
Is this selection (A) the best one? a high positive number. The result of multiplying a negative number by a positive number is always negative.
The result of multiplying two numbers, whether they are positive or negative, is always positive. 3 plus 4 equals 12. The result is minus 12 since there is only one optimistic and one negative number.
Why does adding two negative numbers together results in a positive number?
Repeated subtraction equals multiplication by a negative. Negative numbers were reduced in negative value after they have been multiplied together. Students may easily relate both ideas thanks towards this comparison among both multiplication and addition.
To know more about multiplying click here
brainly.com/question/25114566
#SPJ4
Compare the three data sets on the right: 11121314151617 111213- 151647 121314151617 Which data set has the greatest sample standard deviation? Dala set (iii) , because has more entries that are close Ine mean Data set (Ii) , because has more entries Ihat are farther avay from the mean Data set () because has [wo entrius that ar0 far away from tho moan; Which data set has the least sample standard deviatlon? Data set (iii) , because has more entries that are close Ine mean Data set (i), because has less entries that are farther away Irom the mean Data set (ii) . because has more entries Ihat are farther away from (he mean: (b) How are the data sets the same? How do they differ? rcan; modian and mode but have different standard doviabons: The three data sets have the same Samu standard deviations but have dilferent means The throo data sots have the same mean and modu but have diffaront medians standard deviabons.
The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).
b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
(a) The data set that has the greatest sample standard deviation is Data set (ii).
The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.
In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.
(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).
However, they differ in terms of the order in which these numbers are arranged.
In addition, they differ in terms of the mean, median, mode, and standard deviation.
For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
To learn more about standard deviation
https://brainly.com/question/475676
#SPJ11
State the degree of the following polynomial equation. Find all of the real and imaginary roots of the equation, stating multiplicity when it is greater than one. x6 - 49x^4 = 0.
a. The degree of the polynomial is = __________
b. What are the two roots of multiplicity 1?
a. The degree of the polynomial is 6.
b. Factoring the equation, we have:
x6 - 49x^4 = x^4(x^2 - 49) = x^4(x - 7)(x + 7)
a.The degree of the polynomial equation x^6 - 49x^4 = 0 is 6. This is determined by the highest exponent of x in the polynomial, which is 6.
b. The two roots of multiplicity 1 can be found by factoring the equation as x^4(x^2 - 49) = 0. Setting each factor equal to zero, we have x^4 = 0 and x^2 - 49 = 0.
From x^4 = 0, we find the root x = 0 with multiplicity 4.
From x^2 - 49 = 0, we get (x - 7)(x + 7) = 0. Therefore, the roots x = 7 and x = -7 each have multiplicity 1.
In summary, the equation x^6 - 49x^4 = 0 has a degree of 6, and the roots with multiplicity 1 are x = 0, x = 7, and x = -7.
So the roots of the equation are:
x = 0 (multiplicity 4)
x = 7 (multiplicity 1)
x = -7 (multiplicity 1)
To know more about degree of the polynomial refer here:
https://brainly.com/question/29182596
#SPJ11
in a meeting at the office, 40 employees and their 4 managers sit in a row. what is the probability no two adjacent members are managers?
By combination, Three men and three women must be chosen among the six men and seven women that are available. necessary number of methods = \(^6C_3 * ^7C_3 = 20 * 35 = 700.\)
What is combination?
The sequence of the selection is irrelevant since a combination in mathematics is a selection of items from a set having various members. Regardless of the sequence in which the items were chosen, a mathematical approach known as a combination may be used to calculate the number of alternative arrangements within a collection of objects. Any order can be chosen by a combination. Combinations and permutations are two alternative strategies to divide up a collection of items into subsets in mathematics. The subset's elements can be listed in any order in a combination. In a permutation, the components of a subset are listed in a certain order.
Three men and three women must be chosen among the six men and seven women that are available. necessary number of methods = \(^6C_3 * ^7C_3 = 20 * 35 = 700.\)
To know more about combination visit:
https://brainly.com/question/19692242
#SPJ4
How do I solve for the red side of the triangle only given the other 2 sides?
This is NOT a right triangle.
The length of third side is in between 33.33 and 132.83.
What is inequality in triangles?The theorem that the sum of any two sides of a triangle is greater than or equal to the third side is known as the triangle inequality in Euclidean geometry. The theorem basically states that a straight line defines the shortest distance between two points.
Other metric spaces, or spaces that contain a means of measuring distances, have counterparts to the triangle inequality.
Given two sides of triangle are 33.33 yards and 99-100 yards(say 99.5)
There is a triangle here. Since it is not a right triangle, we must employ triangle inequality to determine the third side's length.
The longer side, 99.5 yards must be shorter than the sum of the other two sides. If the second side is c, then
99.5 < 33.33 + c.
The side c must be longer than 33.33
The side c must be shorter than the sum of the other two sides:
c < 99.5 + 33.33.
c < 132.83
Combining both we will get that
33.33 < c < 132.83.
This interval (33.33, 132.83) gives all the lengths the third side of the triangle can have.
Hence the length of third side varies between 33.33 and 132.83.
Learn more about inequality in triangles;
https://brainly.in/question/34535953
#SPJ1
Multiply
5x^2-6x+2
4x^2-3x
A. 20x^4-39x^3+18x^2-6x
B. 20x^4-39x^3+26x^2-6x
C. 20x^4-24x^3+26x^2-6x
D. 20x^4-24x^3+18x^2-6x
Answer:
B. 20x^4-39x^3+26x^2-6x
Step-by-step explanation:
(5x^2-6x+2)*(4x^2-3x)
20x^4 -15x^3 -24x^3 + 18 x^2 +8x^2 - 6x
20x^4 -39x^3 + 26x^2 - 6x
The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Thanks will mark brainliest
Answer:
It's the left graph, y = f(x)
Step-by-step explanation:
If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.
So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.
\(y=\frac{2-3x}{x}\)
Vertical asymptote\(\Rightarrow x=0\)
\(2-3x=0\\\Rightarrow 3x=2\\\Rightarrow x=\frac{2}{3}\)
Zeroes \(x=\frac{2}{3}\)
\(\Rightarrow\)graph cuts \(x-axis\) at \(x=\frac{2}{3}\)
Horizontal asymptote\(=\frac{coefficient \ of \ higest \ degree \ term \ in \ numerator}{coefficient \ of \ higest \ degree \ term \ in \ denominator}\)
\(y=\frac{-3}{1}\)
\(=-3\)
Horizontal asymptote\(y=-3\)
\(\therefore\) Given graph is \(y=f(x)\)
Which quadratic function corresponds with the graph shown
The quadratic equation of the graph is y = - 16 · x² + 12 · x + 1. (Correct choice: C)
How to derive a quadratic equation
In this question we know the graph of a quadratic equation, whose expression is described below:
y = a · x² + b · x + c, where a, b, c are real coefficients.
According to algebra, we can find the values of the real coefficients by knowing three distinct points of the graph. If we know that (x₁, y₁) = (0, 1), (x₂, y₂) = (0.4, 3.25) and (x₃, y₃) = (0.826, 0), then the coefficients of the quadratic equations are, respectively:
1 = c
3.25 = 0.16 · a + 0.4 · b + c
0 = 0.683 · a + 0.826 · b + c
(a, b, c) = (- 16, 12, 1)
The quadratic equation is y = - 16 · x² + 12 · x + 1
To learn more on quadratic equation: https://brainly.com/question/29011747
#SPJ1
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
To know more about correlation coefficients, visit,
https://brainly.com/question/4219149
#SPJ4
Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________
The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73
Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:
Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11
Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.
Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).
Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.
Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.
Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
For more questions on Mean .
https://brainly.com/question/29368683
#SPJ8
Sarah is finding the surface area of a cube. Find the surface area of the cube with dimensions of 8 cm each
Answer:
384 cm^2
Step-by-step explanation:
A = 6a^2 (a = side length)
A = 6(8^2)
A = 6(64)
A = 384 cm^2
More explain stuff:
a^2 is what is used to find the area of a 2 dimensional square. You can also use a · a. Remember, a = side length. Since there are 6 sides/faces in a cube, you multiply the area of each face by 6. :D