What best describes the expression 6 over y? (1 point)
A. 6 times some number
B. 6 divided by some number
C. 6 minus some number
D. 6 more than some number
Brainliest goes to the first answer, thank you!
In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
None
One
Two
Infinitely many
Answer:
none
Step-by-step explanation:
Find the directional derivative of the function at the given point in the direction of the vector v.
f(x, y) = 7 e^(x) sin y, (0, π/3), v = <-5,12>
Duf(0, π/3) = ??
The directional derivative of the function at the given point in the direction of the vector v are as follows :
\(\[D_{\mathbf{u}} f(\mathbf{a}) = \nabla f(\mathbf{a}) \cdot \mathbf{u}\]\)
Where:
- \(\(D_{\mathbf{u}} f(\mathbf{a})\) represents the directional derivative of the function \(f\) at the point \(\mathbf{a}\) in the direction of the vector \(\mathbf{u}\).\)
- \(\(\nabla f(\mathbf{a})\) represents the gradient of \(f\) at the point \(\mathbf{a}\).\)
- \(\(\cdot\) represents the dot product between the gradient and the vector \(\mathbf{u}\).\)
Now, let's substitute the values into the formula:
Given function: \(\(f(x, y) = 7e^x \sin y\)\)
Point: \(\((0, \frac{\pi}{3})\)\)
Vector: \(\(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)
Gradient of \(\(f\)\) at the point \(\((0, \frac{\pi}{3})\):\)
\(\(\nabla f(0, \frac{\pi}{3}) = \begin{bmatrix} \frac{\partial f}{\partial x} (0, \frac{\pi}{3}) \\ \frac{\partial f}{\partial y} (0, \frac{\pi}{3}) \end{bmatrix}\)\)
To find the partial derivatives, we differentiate \(\(f\)\) with respect to \(\(x\)\) and \(\(y\)\) separately:
\(\(\frac{\partial f}{\partial x} = 7e^x \sin y\)\)
\(\(\frac{\partial f}{\partial y} = 7e^x \cos y\)\)
Substituting the values \(\((0, \frac{\pi}{3})\)\) into the partial derivatives:
\(\(\frac{\partial f}{\partial x} (0, \frac{\pi}{3}) = 7e^0 \sin \frac{\pi}{3} = \frac{7\sqrt{3}}{2}\)\)
\(\(\frac{\partial f}{\partial y} (0, \frac{\pi}{3}) = 7e^0 \cos \frac{\pi}{3} = \frac{7}{2}\)\)
Now, calculating the dot product between the gradient and the vector \(\(\mathbf{v}\)):
\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \begin{bmatrix} \frac{7\sqrt{3}}{2} \\ \frac{7}{2} \end{bmatrix} \cdot \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)
Using the dot product formula:
\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \left(\frac{7\sqrt{3}}{2} \cdot -5\right) + \left(\frac{7}{2} \cdot 12\right)\)\)
Simplifying:
\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = -\frac{35\sqrt{3}}{2} + \frac{84}{2} = -\frac{35\sqrt{3}}{2} + 42\)\)
So, the directional derivative \(\(D_{\mathbf{u}} f(0 \frac{\pi}{3})\) in the direction of the vector \(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\) is \(-\frac{35\sqrt{3}}{2} + 42\).\)
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If I have an 83% percentage as my grade and I got 90% or 100% in one of my tests, what would be my final grade percentage?
Answer:
Step-by-step explanation:
if u got 90% then (83+90)/2=86,5%
if u got 100% then (83+100)/2=91,5%
Answer:
86.5% or 91.5%
Step-by-step explanation:
83+90=173
173÷2=86.5%
Therefore, 86.5% is the Final grade percentageOR
83+100=183
183÷2=91.5%
Therefore, 91.5% is the Final grade percentageThere are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
I need help with this question please and thank you
Check the picture below.
7)
\(\tan(20.75^o )=\cfrac{\stackrel{opposite}{1}}{\underset{adjacent}{d}} \implies d=\cfrac{1}{\tan(20.75^o)}\implies d\approx 2.6~AU\)
Make sure your calculator is in Degree mode.
8(q-2) = 44+5(2q-12)
The value of q in the given equation is 0.
This is a problem from an algebraic equation, we can solve this problem by following a few steps.
The given equation is,
8(q-2) = 44+5(2q-12)
Let's simplify the equation.
8(q-2) = 44+5(2q-12)
Or, 8q- 16= 44+ 10q- 60
Now, we have to organize the equation.
8q- 10q= 44- 60+ 16
Or, -2q = 0
Or, q = 0/2 ( dividing both side by 2 )
Or, q = 0
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The complete question is:
Find the value in the given equation,
8(q-2) = 44+5(2q-12)
A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.
The midpoints of the first and last parts are 4/5m units apart
How to determine the distance between the midpoints?The length of the line segment is given as
Length = m units
From the question, the number of partitions is given as
Partition = 5
So, the length of each partition is
Each partition = Length/Partition
This gives
Each partition = m/5
The midpoint of a partition is
Partition midpoint = m/5 x 1/2
Evaluate
Partition midpoint = m/10
The distance between the midpoints of the first and last segments is then calculated as
Distance = Length - 2 x Partition midpoint
So, we have
Distance = m - 2 x m/10
Evaluate
Distance = m - m/5
This gives
Distance = 4/5m
Hence, the distance is 4/5m units
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order the fractions from smallest to largest
1) 4/5, 6/10, 2/3, 1/2
2) 3/5, 1/2, 3/10, 1/3
3) 1/5, 2/4, 1/3, 1/10
Answer:
1. 1/2 6/10 2/3 4/5
2. 3/10 1/3 1/2 3/5
3. 1/10 1/5 1/3 2/4
Step-by-step explanation:
Hope this helps! :)
Find the sum of all the perfect squares that lie between 40 and 150.
answer. 40 to 150
49, 64, 81, 100,121,144
add all
for your answer
The two triangles in the figure are congruent because
A)the aas theorem
B) the sss postulate
C) the sas postulate
Answer:
sas postulate...............
Step-by-step explanation:
because there is one side ,one angle and another side ,sooo
Answer:
R.H.S theorm or S.A.S postulate
Step-by-step explanation:
60 X 10^8
1.2 * 10^5
Answer:
if you can tell me what this ^means i can help you
Find the indicated sum. 6+16 +26+36 +...+(10n-4) 6+16+26+36 +...+(10n-4)= (Simplify your answer.)
The sum of the series 6+16+26+36+...+(10n-4) can be simplified to 5n² + n.
How to find the simplified form of the given sum?In the given series, each term can be expressed as 10n - 4, where n represents the position of the term. To find the sum of these terms, we can use the formula for the sum of an arithmetic series.
The formula for the sum of an arithmetic series is given by Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.
In our series, the first term (a) is 6 and the last term (l) is (10n - 4). We need to find the number of terms (n) in the series.
We can use the formula for the nth term of an arithmetic sequence, which is given by an = a + (n-1)d, where an is the nth term, a is the first term, n is the position of the term, and d is the common difference.
In our series, the common difference is 10, so we can set the last term (l) equal to 10n - 4 and solve for n:
10n - 4 = 10n - 10
-4 = -10
This equation has no solution, which means there is no last term. Therefore, the series is infinite.
Since the series is infinite, we cannot find the exact sum. However, we can find a simplified form for the sum by noticing a pattern.
If we look at the series, we can observe that the sum of the coefficients of the n terms is always 5, and the sum of the squares of the n terms is always n. Therefore, we can simplify the sum to 5n² + n.
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HELP!!!! please im begging
Answer:
57 1/10
(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10
There are eight shirts in your closet, four
blue and four green. you randomly select
one to wear on monday and then a
different one on tuesday. you wear blue
shirts both days.
please show your work, just so i would also understand how to answer this question !!
Answer:
it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue
What is the percent of decrease from 400,000 to 20,000?
Answer:
95% decrease
Step-by-step explanation:
Subtract starting value minus final value
Divide that amount by the absolute value of the starting value
Multiply by 100 to get percent decrease
If the percentage is negative, it means there was an increase and not an decrease.
PLEASE HELP AND EXPLAIN HOW YOU GOT THE ANSWER. I WILL MARK YOU BRAINLIEST
Answer:
C :)
Step-by-step explanation:
Basically in angle R, x times 5 = the x of R' and y times 5 = the y of R'. If you multiple the x and y value by 5 for all of the coordinates you get you R'S'T' values!
Which characteristic of data is a measure of the amount that the data values vary?.
Variation is characteristic of data is a measure of the amount that the data values vary.
What is variation?
Variation is a measure of how spread out the data is around the center of the data.
The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set. Variance is often depicted by this symbol: σ
The coefficient of variation is a more representative measure of dispersion than the previous ones, because it is an abstract number.
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Explain how recapturing a higher percent of marked alligators affects the estimated total population
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
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Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
First, determine the quadrant for 0; then find x, y, and r; and finally, give all six trigonometric ratios for given the following information: sin(O) = -1, and cos(e) > 0 e lives in quadrant 3 • X= .y= • P= 1. sin(O) = 2. cos(0) = 3. tan(O) = 4. sec(0) = 5. csc(0) = 6. cot(0) =
Given the information sin(O) = -1 and cos(e) > 0 with e in quadrant 3, we can determine the quadrant, x, y, and r values, and then find the six trigonometric ratios for O.
First, determine the quadrant for O:
Since sin(O) = -1 and cos(e) > 0, we know that O is in quadrant 4, where sine is negative and cosine is positive.
Next, find x, y, and r:
Given sin(O) = -1, we know that y/r = -1. Since sin(O) is at its minimum, this occurs when y = -1 and r = 1. With e in quadrant 3, x must be negative. Since cos²(e) + sin²(e) = 1, we have x² + (-1)² = 1, so x² = 0, and x = 0.
Now, calculate the six trigonometric ratios for O:
1. sin(O) = y/r = -1/1 = -1
2. cos(O) = x/r = 0/1 = 0
3. tan(O) = y/x = -1/0 (undefined, as we cannot divide by 0)
4. sec(O) = r/x = 1/0 (undefined, as we cannot divide by 0)
5. csc(O) = r/y = 1/-1 = -1
6. cot(O) = x/y = 0/-1 = 0
So, O is in quadrant 4 with x=0, y=-1, and r=1. The trigonometric ratios are sin(O)=-1, cos(O)=0, tan(O)=undefined, sec(O)=undefined, csc(O)=-1, and cot(O)=0.
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help me plz i asked this question too much
Answer:
24 cookies in each bag
Step-by-step explanation:
36 cookies X 8 bags = 288 cookies
240 cookies / 20 cookies = 12 bags
288 cookies / 12 bags = 24 cookies
A political scientist surveys 24 of the current 84 representatives in a states legislature.
What is the sample size
What is the size of the population
Answer:
Sample size: 24 representatives
Population size: 84 representatives in the state legislature
At the science fair, Tanvi uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?
Answer:
4 times
Step-by-step explanation:
1 quart is equivalent to 32 fluid ounces.
If each eruption consumes 8 fluid ounces of vinegar. Assuming that the amount of vinegar required per eruption is constant, the number of times Tanvi can make her volcano erupt is:
\(n=\frac{32}{8}\\n=4\ times\)
Tanvi can make her volcano erupt 4 times with 1 quart of vinegar.
Answer:
Step-by-step explanation:
Please help quick! 100 points
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answer:
Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.
Step-by-step explanation:
Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to obtain the measures of spread?
First, we consider the dot plot, which shows the number of times that each observation appears in the data set.
Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.
The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.
For groups of 15 students, we have that:
The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.
The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.
The quartiles for Bus 14 are given as follows:
Q1 = 12.
Q3 = 18.
Hence the IQR is of:
IQR = Q3 - Q1 = 18 - 12 = 6.
The quartiles for Bus 18 are given as follows:
Q1 = 9.
Q3 = 16.
Hence the IQR is of:
IQR = Q3 - Q1 = 16 - 9 = 7.
Step-by-step explanation:
show your work plzzzz help i literally beg
Answer:
Would be 75.36
Step-by-step explanation:
Formula: V = πr^2 h (replace pi with 3.14)
(r × r)
= 3.14 × r^2 × h
(r^2 × h = #)
= #π (# × π)
= V
Answered Form: V = π2^2 6
(2 × 2)
= 3.14 × 2^2 × 6
(4×6 = 24)
= 24π (24 × 3.14)
V = 75.36
The sum of Fred and Amanda's age is
109.
Fred's age is 1 more than three times
Amanda's age.
Answer:
so 3 x 109 =327+ 1 =328
Step-by-step explanation:
i think. so freds age is 3 times her age plus one so 328
2 2/3 divided by 6
Answer:
0.444... or 4/9
Step-by-step explanation:
When a meter has more than 4 beats per repetition, it is called____
a: complex meter
b : syncopation
c: simple subdivision
d; polymeter
Answer:Complex
Step-by-step explanation:When a meter has more than 4 beats per repetition, it is called a "complex meter." Examples of complex meters include 5/4, 7/8, and 11/8, among others. In contrast, meters with 4 beats per repetition or fewer are called "simple meters."