Answer:
357.5cm³
Step-by-step explanation:
To find the volume of the prism, find the area of the triangle and multiply it by the height
Area of the triangle
a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²Volume of prism
55 × 6.5 = 357.5cm³Answer: 357.5cm³
Hope this helps!
3:15=12:60 then find the sum of the mean
Answer:
The means of the proportion 3/15 = 12/60 are 15 and 12. The means of the proportion 3/15 = 12/60 are 15 and 12
Making marijuana illegal in the United States and alcohol illegal in Saudi Arabia are both examples of:
Making marijuana illegal in the United States and alcohol illegal in Saudi Arabia are both examples of how governments can use law to enforce different social norms.
How can governments use law to enforce different social norms?Governments have the power to use legislation as a means to enforce various social norms within their respective societies. Examples of this can be seen in the contrasting policies regarding marijuana in the United States and alcohol in Saudi Arabia.
The illegal status of marijuana in the United States reflects the societal norm that perceives its use as undesirable or harmful while the prohibition of alcohol in Saudi Arabia aligns with the country's cultural and religious values. These demonstrate how governments can utilize laws to shape and uphold different social norms based on their specific contexts and priorities.
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When three cubes are placed on top of the other, there are 900 square inches of surface exposed. if the lengths of the edges of these cubes are consecutive even integers, find the dimensions of each cube.
assume that the cubes are arranged from largest to smallest with the largest sitting on a table.
The dimensions of the cubes are 10 inches, 8 inches, and 6 inches.
Let's assume the lengths of the edges of the cubes are x, x-2, and x-4, where x is the largest edge length.
The surface area of a cube is given by the formula 6s^2, where s is the edge length.
According to the problem, the total surface area of the three cubes is 900 square inches. Therefore, we can set up the equation:
6x^2 + 6(x-2)^2 + 6(x-4)^2 = 900.
Simplifying the equation:
6x^2 + 6(x^2 - 4x + 4) + 6(x^2 - 8x + 16) = 900.
Expanding and combining like terms:
6x^2 + 6x^2 - 24x + 24 + 6x^2 - 48x + 96 = 900.
18x^2 - 72x + 120 = 900.
Dividing both sides by 6 to simplify:
3x^2 - 12x + 20 = 150.
Rearranging the equation:
3x^2 - 12x - 130 = 0.
Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. After solving the equation, we find the solutions:
x = 10 and x = -4/3.
Since the dimensions of the cubes must be positive even integers, we discard the solution x = -4/3.
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HELP ! I don’t get this math question
Answer:
what is it u gotta type it
Subtract 2.53 x 105 from 1.3 x 108
Answer:
125.2 is your answer dear
Answer:
Step-by-step explanation:
2.53 x 105 is 265.65
1.3 x 108 is 140.4
now, Subtract 2.53 x 105 from 1.3 x 108
140.4 - 265.65
= -125.25
Hope this helps
plz mark as brainliest!!!!!!
There are 18 male students and 24 female students in a grade 10 math class. The math teacher
wants to divide the class into groups that will have equal amounts of girls in each
equal amounts of boys in each group. What is the greatest number of groups that the teacher can
make?
Answer:
the greatest number I guess is 2
Step-by-step explanation:
18÷2= 9male to the 2group
24÷2=12female to the 2group
5. When does a within sample variance occur?
Select one:
a. Within a single sample or group
b. Only within groups
c. Within multiple samples or groups
d. Only within samples
6. When validating assumpt
Within sample variance occurs within a single sample or group.
Within sample variance refers to the variation or dispersion of values within a single sample or group. It measures how much the individual data points deviate from the mean or central tendency within that specific sample. This variance is calculated by taking the average of the squared differences between each data point and the sample mean.
For example, let's say we have a sample of test scores for a group of students. Within sample variance would help us understand how much the individual test scores vary within that particular group. If the test scores are tightly clustered around the mean, the within sample variance would be low, indicating a high level of similarity among the scores. Conversely, if the test scores are widely spread out, the within sample variance would be high, suggesting a greater diversity or variability among the scores.
In summary, within sample variance occurs within a single sample or group and quantifies the dispersion of values around the mean within that sample. It helps assess the level of variation or homogeneity within the data set.
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stable cost reporting in a manufacturing setting is typically a sign that operations are running smoothly. the accounting department at rockwell collins, an avionics manufacturer, analyzes the variance of the weekly costs reported by two of its production departments. a sample of cost reports for each of the two departments shows cost variances of and , respectively. is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? use (to decimals).
The f-statistic (0.72) is between the critical values (0.214 and 4.025), we fail to reject the null hypothesis.
To determine whether the two production departments differ in terms of unit cost variance, we can perform a hypothesis test. We will use a two-sample F-test, which compares the variances of two independent samples.
The null hypothesis for this test is that the two production departments have equal variances, and the alternative hypothesis is that the variances are not equal. We can write these hypotheses as:
H0: σ1^2 = σ2^2
Ha: σ1^2 ≠ σ2^2
where σ1^2 and σ2^2 are the population variances for the two production departments.
To perform the F-test, we need to calculate the F-statistic:
\(F = s1^2 / s2^2\)
where \(s1^2\) and \(s2^2\) are the sample variances for the two production departments. We can then compare the F-statistic to the critical value from the F-distribution, using the degrees of freedom associated with the two samples.
For this problem, we are not given the sample sizes, so we cannot determine the degrees of freedom directly. However, we can use a conservative estimate for the degrees of freedom, which is the smaller of n1 - 1 and n2 - 1, where n1 and n2 are the sample sizes.
Assuming that the sample sizes are equal and using the conservative estimate for the degrees of freedom, we can calculate the F-statistic as:
F = 42.4 / 58.8 = 0.72
To find the critical value from the F-distribution, we need to choose a significance level (α). Let's use α = 0.05. Using a calculator or a table, we find that the critical values for a two-tailed F-test with degrees of freedom of 9 and a significance level of 0.05 are 0.214 and 4.025.
Since our calculated F-statistic (0.72) is between the critical values (0.214 and 4.025), we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the variances of the two production departments are different.
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what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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A pair of shoes usually sells for $59. If the shoes are 40% off, and sales tax is 8%, what is the total price of the shoes including tax?
A.
$41.42
B.
$38.23
C.
$38.59
D.
$40.12
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 59}}{\left( \cfrac{40}{100} \right)59}\implies 23.6~\hfill \underset{sale~price}{\stackrel{59~~ - ~~23.6}{35.4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{8\% of 35.4}}{\left( \cfrac{8}{100} \right)35.4}\implies 2.832~\hspace{10em}\underset{\textit{sale price plus tax}}{\stackrel{35.4~~ + ~~2.832}{\approx 38.23}}\)
Consider "Since some shoes are sneakers, some non-sneakers are non-shoes." This inference, drawn by contraposition, is:
A) Valid
B) Not valid
C) Valid by limitation
The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”
We know that all sneakers are shoes, but all shoes are not sneakers. Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”
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If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x?
Lines E H and D F intersect at point G.
14
18
64
116
Answer:
x = 14
Step-by-step explanation:
you should start by drawing a picture
when you do this, you will see that angle fgh and angle egd are vertical angles, that means they are congruent
therefore:
\(64 = 4x + 8\)
\(56 = 4x\)
\(x = 14\)
NNNNNNNNEED HELP!!!!!
Answer: First box=3, second box=4, third box=0, last box=2
Step-by-step explanation: Do the math for the boxes.
you have 4 math books, 5 history books, and 2 science books. how many ways are there to arrange the books on a book shelf?
There are 5,760 ways to arrange the books on the bookshelf.
A permutation is an ordered arrangement of objects, and it can be calculated as follows:
ⁿPₓ = n! / (n - x)!
where n is the total number of objects and r is the number of objects that we are arranging.
To determine the total number of ways in which we can arrange the books on a bookshelf, we need to first calculate the total number of possible arrangements. We can do this by using the fundamental principle of counting, which tells us that the total number of possible arrangements is equal to the product of the number of ways in which each book can be arranged.
Therefore, the total number of possible arrangements can be calculated as follows:
Total number of possible arrangements = Number of ways to arrange math books × Number of ways to arrange history books × Number of ways to arrange science books
In our case, we have 4 math books, 5 history books, and 2 science books, so we can calculate the number of permutations for each type of book as follows:
Number of ways to arrange math books = ⁴P₄ = 4! / (4-4)! = 4! / 0! = 24
Number of ways to arrange history books = ⁵P₅ = 5! / (5-5)! = 5! / 0! = 120
Number of ways to arrange science books = ²P₂ = 2! / (2-2)! = 2! / 0! = 2
Now, we can substitute these values in the formula for the total number of possible arrangements:
Total number of possible arrangements = 24 × 120 × 2 = 5,760
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Please Hurry
Name three angles that sum to 180°.
Answer:
90,90
85,95
5,175
Step-by-step explanation:
In which type of triangle are two of the altitudes actual sides of the
triangle?
Answer:isosceles triangle
Step-by-step explanation:
What’s the distance between (-2,3) and (2,1) ;; using distance formula
Answer:4.472136
Step-by-step explanation:
The formula in finding the distance between two points is given below:
\( \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}\)Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between (-2, 3) and (2, 1), using the distance formula?
From inspection on the given problem:
\(\sf (x_1, y_1) = (-2, 3)\)\(\sf (x_2, y_2) = (2, 1)\)Substitute the given values into the distance formula and solve for d:
\(\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)\(\sf d = \sqrt{[2 - (-2)]^2 + (1 - 3)^2}\)\(\sf d = \sqrt{(4)^2 + (-2)^2}\)\(\sf d = \sqrt{16 + 4}\)\(\bold{d = \sqrt{20} \approx 4.47 \: units}\)Therefore, the distance between two points is 4.47 units.
\(\\\)
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
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tickets for a play cost $ 7 for students and $ 10 for adults. on opening night, all 380 seats were filled, and box office revenue was $ 3290.00. how many adults attended at the play?
The total number of adults who attended the play are 210.
Here, we are given that tickets for a play cost $ 7 for students and $ 10 for adults.
Total number of seats = 380
Box office revenue on opening night = $ 3290
Let the number of adults be x
Then, the number of students will be = (380 - x)
thus, we can form the following equation-
10x + 7(380 - x) = 3290
10x + 2,660 - 7x = 3290
3x + 2,660 = 3290
3x = 3290 - 2660
3x = 630
x = 630/3
x = 210
Thus, the total number of adults who attended the play are 210.
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the difference of 2 and x?
Answer:
2 is a number and x is a letter
Step-by-step explanation:
hope this helps XD
Wich expression equivalent to
Answer:
2^6*2^-8
Step-by-step explanation:
harry has $2.25 in nickels, dimes, and quarters. if he had twice as many nickels, half as many dimes, and the same number of quarters, he would have $2.50. if he has 27 coins altogether, then how many of each does he have?
Answer:
Step-by-step explanation:
Then you will subtract:
The answer is $25:00
a tv station wishes to obtain information on the tv viewing habits in its market area. the market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each. the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas. which of the following sampling designs would yield the type of information the station requires?
By using the concept of stratified sampling, it can be concluded that
In this situation, stratified sampling is used.
What is stratified Sampling?
Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.
A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.
Here, it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.
So it is advantageous to partition the given population into subpopulation.
So stratified sampling must be used here.
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The double-reciprocal transformation of the Michaelis-Menten equation, also called the Lineweaver- Burk plot, is given by
1/V_0 = K_m /(V_max[S]) + 1/V_max
To determine Km from a double-reciprocal plot, you would:
A) multiply the reciprocal of the x-axis intercept by -1.
B) multiply the reciprocal of the y-axis intercept by -1.
C) take the reciprocal of the x-axis intercept.
D) take the reciprocal of the y-axis intercept.
E) take the x-axis intercept, where V_0 = 1/2 V_max.
To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.
In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.
This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.
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The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Oy= 1-X
Oy =-x-1
Oy=x-1
Answer:
y = x-1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y= 1x -1
y = x-1
The slope intercept form is,
y = x -1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, The slope intercept form is
y = mx + b
where m is the slope and b is the y intercept
Here, We have;
The slope of a line is 1, and the y-intercept is -1.
Hence, We get;
The slope intercept form is,
y = 1x -1
y = x - 1
Thus, The slope intercept form is,
y = x -1
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Someone, please help me with this problem!! I need an answer asap!
Answer: 4
Step-by-step explanation:
The x intercept is where the line intersects with the x axis
Counting from the origin (0,0), you can see that the x intercept is 4
the applicants for a soccer coaching position were asked how many years of coaching experience they had. here are the resuts 1,2,2,2,2,4,4,5,5,6,8,8,8,10
Answer:
Mean: 4.7
Mode: 2
Median: 4.5
Step-by-step explanation:
I need help with this it’s geometry this is my 2nd time asking for help
Answer:
The measure of angle WVX is 140°.
Step-by-step explanation:
Let x be the measure of angle WVX.
\( \frac{14}{9} \pi = 2x\)
\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)
Answer:
angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.
so, the answer is 140 degrees.
Sketch the region enclosed by the curves and find its
area.
y=x,y=3x,y=−x+4
The region enclosed by the curves y = x, y = 3x, and y = -x + 4 needs to be sketched, and its area should be found.
To sketch the region enclosed by the curves, we need to plot the three given curves on a coordinate plane. The first curve is y = x, which represents a straight line passing through the origin (0,0) with a slope of 1. The second curve is y = 3x, which is also a straight line passing through the origin but with a steeper slope of 3. The third curve is y = -x + 4, which represents a line with a y-intercept of 4 and a negative slope of -1. By plotting these three lines on the same coordinate plane, we can see that they intersect at three points: (0,0), (1,3), and (3,1). The region enclosed by these curves is a triangular region with vertices at these three points. To find the area of this triangular region, we can use the formula for the area of a triangle: A = (1/2) * base * height. Let's draw the graph:
|
4 | . (2, 2)
| .
| .
| .
0 |_____________________
0 1 2 3 4 5 6
In this graph, the first equation (y = x) is depicted by a diagonal line passing through the origin (0,0). The second equation (y = 3x) is a steeper line, while the third equation (y = -x + 4) is a downward-sloping line with a y-intercept of 4. In this case, the base of the triangle is the distance between the points (0,0) and (3,1), which is 3 units. The height of the triangle is the distance between the point (1,3) and the line y = -x + 4, which is also 3 units. Substituting these values into the area formula, we get A = (1/2) * 3 * 3 = 4.5 square units.
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an experiment of study times versus test scores found a correlation coefficient of r = 0.49. how would you describe this relationship?
The correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores. This suggests that as study times increase, there is a tendency for test scores to also increase. However, the relationship is not extremely strong.
The correlation coefficient, denoted by 'r', ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other tends to increase as well. In this case, the correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores.
It's important to note that the correlation coefficient of 0.49 falls between 0 and 1, closer to 1. This suggests that there is a tendency for test scores to increase as study times increase, but the relationship is not extremely strong. Other factors may also influence test scores, and the correlation coefficient does not imply causation.
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