A 4-column table with 3 rows titled paint color preference. The first column has no label with entries liked new paint color, disliked new paint color, total. The second column is labeled children with entries 0. 6, 0. 4, 1. 0. The third column is labeled adults with entries x, 0. 15, 1. 0. The fourth column is labeled total with entries 0. 77, 0. 23, 1. 0. Which value for x completes the conditional relative frequency table by column? 0. 17 0. 25 0. 40 0. 85.
The value for x that completes the conditional relative frequency table by column is 0.25.
In the given 4-column table titled "Paint Color Preference," we are looking for the value of x that completes the conditional relative frequency table by column.
In the first column, the entries are "Liked New Paint Color," "Disliked New Paint Color," and "Total." The third row represents the total count of responses.
In the second column, labeled "Children," the entries are 0.6, 0.4, and 1.0. These values represent the relative frequencies of children who liked and disliked the new paint color.
In the third column, labeled "Adults," the second entry is given as 0.15, representing the relative frequency of adults who disliked the new paint color.
In the fourth column, labeled "Total," the entries are 0.77, 0.23, and 1.0, representing the total relative frequencies for each category.
To find the missing value x in the third column, we subtract the total relative frequencies of children from the total relative frequencies. Thus, x = 1.0 - 0.6 = 0.4.
Therefore, the value for x that completes the conditional relative frequency table by column is 0.25.
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What’s the slope for (3,8)and (5,0)
Answer:
slope = -4
Step-by-step explanation:
(y - y1)/(x -x1)
= ( 0 -8)/(5-3)
= -4
Answer:
-4
Step-by-step explanation:
Slope = \(\frac{y_{2} - y_1 }{x_2-x_1}\)
Let (3,8) be \((x_{2},y_2 )\) and (5,0) be \((x_1,y_1)\)
Now we can solve using the slope formula!
\(\frac{8-0}{3-5} = \frac{8}{-2} = -4\)
The slope is -4
Hope this helps :)
Have a great day!
i've literally asked my whole friend group this and they still dunno the answer
The value of surd expression x²+ xy + y² by means of simplification of surds is 3.
What is the solution to the surd?The solution to the surd is derived as follows:
x = √3-√2 /√3+√2 and
y = √3+√2 /√3-√2
The value of x²+ xy + y² is calculated as follows:
x² = (√3-√2 /√3+√2)²
x² = 5 - 2√6 / 5 + 2√6
y² = (√3+√2 /√3-√2)²
y² = 5 + 2√6 / 5 - 2√6
xy = (√3-√2 /√3+√2) (√3+√2 /√3-√2)
xy = 1
x²+ xy + y² = (5 - 2√6 / 5 + 2√6) + (5 + 2√6 / 5 - 2√6) + 1
x²+ xy + y² = 147/49
x²+ xy + y² = 3
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working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. if it takes 55 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
The time it will take the smaller hose to fill the pool on its own is 66 minutes.
Let the time it takes for the smaller hose to fill the pool on its own be x minutes. The work rate of the larger hose can be represented as 1/55 (pool per minute) and the work rate of the smaller hose as 1/x (pool per minute). When working together, their combined work rate is 1/30 (pool per minute).
We can set up the following equation to represent their combined work rate:
(1/55) + (1/x) = (1/30)
To solve for x, we can first find a common denominator, which is 55x:
(x + 55) / (55x) = 1/30
Now, cross-multiply:
30(x + 55) = 55x
Expand and simplify:
30x + 1650 = 55x
Rearrange to solve for x:
1650 = 25x
Divide by 25:
x = 66
So, it will take the smaller hose 66 minutes to fill the swimming pool on its own.
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No links
13 points for this,
Will receive brainliest!
Answer:
median is the middle number
mean is the numbers added up and divide by how many numbers there are
range is biggest take smallest
Mode is the most common so if you only have 1 number 1 and 2 number 2s then 2 is the mode
Step-by-step explanation:
Solve for x please help me
Given the equation of the magnetic field H=3ya
x
+2xa
x
( A/m) find the current density J=cur(H ) a. 1=−3a
2
+2a
y
( A/m
2
) b. J=3a
z
+2a
y
( A/m
2
) c. None of these d J=3a
x
+2a
k
(A/m
2
) e. J=−3a
x
+2a
k
(A/m
2
)
The correct option for the current density J from the magnetic field (H)is:
b. J = 3a_z + 2a_y (A/m²)
To find the current density (J) from the magnetic field (H), you can use the following relationship:
J = curl(H)
Given the equation for H as H = 3ya_x + 2xa_x, let's find the curl of H.
The curl of a vector field A is given by the determinant of the following matrix:
curl(A) = ∇ × A = ( ∂A_z/∂y - ∂A_y/∂z ) a_x + ( ∂A_x/∂z - ∂A_z/∂x ) a_y + ( ∂A_y/∂x - ∂A_x/∂y ) a_z
In this case, A = H = 3ya_x + 2xa_x.
Let's calculate the curl of H:
∂H_z/∂y = 0 (as there is no z-component in H)
∂H_y/∂z = 0 (as there is no z-component in H)
∂H_x/∂z = 0 (as there is no z-component in H)
∂H_z/∂x = 0 (as there is no z-component in H)
∂H_y/∂x = 0 (as there is no y-component in H)
∂H_x/∂y = 3a (partial derivative of 3ya_x with respect to y)
Now we can substitute these values into the curl formula:
J = curl(H) = (0 - 0) a_x + (0 - 0) a_y + (3a - 0) a_z = 3a_z
Therefore, the correct option for the current density J is:
b. J = 3a_z + 2a_y (A/m²)
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Instead of the usual dice, suppose we have a bag of 12-sided dice, each with sides numbered 1 through 12. Assume the dice are fair. if we dump out a bag of 50 such dice and add up the numbers they land on, what is the probability the total will be at least 360? Estimate the probability using a normal approximation with a continuity correction. Select the nearest percentage.a. 43%b. 74%c. 3%d. 59%e. 85%e. 16%f. 28%g. 8%
The estimated probability of the total sum being at least 360 is approximately 8%.
To estimate the probability using a normal approximation with a continuity correction, we first need to find the mean and standard deviation of the sum of the numbers on the 50 dice.
For a single 12-sided die, the mean is (1+2+...+12)/12 = 6.5. For 50 dice, the mean is 50 × 6.5 = 325. The variance for one die is [(1-6.5)²+(2-6.5)²+...+(12-6.5)²]/12 = 11.92. For 50 dice, the variance is 50 × 11.92 = 596, and the standard deviation is √596 ≈ 24.4.
Now, we'll use the normal approximation with a continuity correction to estimate the probability that the sum of the numbers is at least 360. First, find the z-score:
z = (X - μ + 0.5) / σ = (360 - 325 + 0.5) / 24.4 ≈ 1.42
Using a z-table or calculator, the probability of obtaining a z-score greater than 1.42 is approximately 0.0778 or 7.78%. The closest percentage in the options provided is 8%, which corresponds to option g. Therefore, the estimated probability of the total sum being at least 360 is approximately 8%.
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The cost of a burger is $4.50. The cost of a soda is $.75. Greg wants to treat some friends to lunch. If he has $40, how many people can he buy lunch for? Use “let” statements and inequalities in your answer.
He can invite 7 friends.Because he had $40. He will spent for each person $5.25.
What is inequality?In mathematics, a relationship between two expression that are not equal to each other is called inequality.The word inequality mean not being equal ,especially in status, rights and opportunities.
What is statement?A statement is a declarative statement that is true or false but both not.A statement is also called proposition.It may contain symbols and words.
he has total money = $40
cost of burger =$4.50
cost of soda =$0.75
Let, he will spend for each person
4.50+0.75=$5.25
so, he can invite=40/5.25
=7.619
he can invite 7 friends.
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Can someone help me with this math homework please!
Answer:
Option 3 and 5
Step-by-step explanation:
- 5, 5, - 5, 5, - 5, .....
5 - ( - 5 )
= 5 + 5
= 10
- 5 - 5
= - 10
Here, common difference is not same, so this sequence is not an A.P
96, 48, 24, 12, 6
48 - 96 = - 48
24 - 48 = - 24
Here, common difference is not same, so this sequence is not an A.P
18, 5.5, - 7, - 19.5, - 32, .....
5.5 - 18 = - 12.5
- 7 - 5.5 = - 12.5
Here, common difference is same, so this sequence is an A.P
- 1, 3, - 9, - 27, - 81, .....
- 3 - 1 = - 4
- 3 - 9 = - 12
Here, common difference is not same, so this sequence is not an A.P
16, 32, 48, 64, 80, .....
32 - 16 = 16
48 - 32 = 16
Here, common difference is same, so this sequence is an A.P
Gilberto decides to give a T-shirt to each of his sponsors. Each shirt costs
him $4. 75. He plans to pay for each shirt with some of the money he raises
from each sponsor.
Write an equation that represents the amount of money Gilberto
The equation that represents the amount of money Gilberto has after buying T-shirts for n sponsors at a cost of $4.75 per shirt can be written as nx - 4.75n = n² - 4.75n.
Assume count that Gilberto has n sponsors, and he plans to buy a t-shirt for each sponsor at a fee of $4.75 in step with a t-shirt. Assume also count on that every sponsor contributes x greenbacks to Gilberto's fundraising marketing campaign.
The overall amount of money Gilberto raises from all n sponsors is n instances x or nx. If Gilberto makes use of some of this cash to buy t-shirts, he may have nx - 4. 75n bucks left over.
Therefore, the equation that represents the quantity of cash Gilberto has after shopping for t-shirts is:
nx - 4. 75n = (n - 4. 75)n
simplifying this equation, we get:
nx - 4. 75n = n² - 4. 75n
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QUESTION 9 of 10: You are considering leasing a store site that has 1,800 square feet. The landlord is asking for rent of $55 per square foot per year. How much is the rent per month?
a) $8,000
b) $8,250
c) $8,500
d) $8,750
Answer: $8,250
Step-by-step explanation:
just did the quiz
Solve this system of linear equations without graphing: 3y + 7 = 5x 7x-3y = 1
Answer:
x = -3
Step-by-step explanation:
3y + 7 = 5x
3y = 5x - 7
y = 5x/3 - 7/3 (Isolate y.)
7x - 3y = 1
-3y = 1 - 7x
y = -1/3 + 7x/3 (Isolate y.)
5x/3 - 7/3 = -1/3 + 7x/3 (Set the equations equal to each other. Simplify.)
5x/3 - 2 = 7x/3
-2 = 2x/3
-6 = 2x
-3 = x
10 yd
T
12 yd
5 yd
Name of figure: ___\\
Volume:
Answer:
name of figure : pyramid
volume : 200yds.
Step-by-step explanation:
The formula for volume of a pyramid is 1/3(lwh), in this case, it would be 1/3(12x5x10). 12x5x10 is 600, and 1/3 of 600 is 200. Therefore, the volume is 200yds.
IM VERY SORRY IF THIS DIDN'T MAKE SENSE!
2. Solve the following difference equations: (a) \( x_{t+1}=\frac{1}{2} x_{t}+3 \) (b) \( x_{t+1}=-3 x_{t}+4 \)
(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 3
1 | 7
2 | 15
3 | 31
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
(b) ( x_{t+1}=-3 x_{t}+4 )
The solution to this difference equation is
x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 4
1 | 5
2 | 2
3 | 1
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.
Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.
In the first problem, the equation can be solved recursively as follows:
x_{t+1} = \frac{1}{2} x_t + 3
x_t = \frac{1}{2} x_{t-1} + 3
x_{t-1} = \frac{1}{2} x_{t-2} + 3
...
x_0 = \frac{1}{2} x_{-1} + 3
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
The second problem can be solved recursively as follows:
x_{t+1} = -3 x_t + 4
x_t = -3 x_{t-1} + 4
x_{t-1} = -3 x_{t-2} + 4
...
x_0 = -3 x_{-1} + 4
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
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what is the quotient of 6 1/4 ÷ (-5/8)
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
Answer:
\(-\frac{12}{5}\)
Step-by-step explanation:
please help!! lol y=?x+?
Answer:
y= 4x-9
Step-by-step explanation:
Susan typed 360 words in 5 minutes. What is her constant rate? (How many wordscan she type per minute?)A. 0.013B. 1800C. 360D. 72
Answer:
The correct answer is option D. 72
Explanation:
She wrote 360 words in 5 minutes. To find teh words she wrote in a minut
Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $33.50 and wrapping paper that was $2.94. If he earns $5.75 for each lawn he mows, how many lawns will he need to complete to buy the gift and wrapping?
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.
Answer:
58.50
Step-by-step explanation:
Multiply 50 and .17 which equals 8.5 then add that to 50.
The amount of money in the account in December with a rate of 17% of the initial amount of $50 is $58.5.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A teenager puts $50 into an investment account in January.
Let, he deposited on first January.
If by December the balance in the account increases by 17%,
Let the amount by the 31 first of December will be
Then the amount will be given as
\(A = P (1 + \dfrac{r}{100})^t\)
P = $50
r = 17%
t = 1
Then we have
\(\rm A = 50(1 + \dfrac{17}{100})^1\\\\A = 50(1 + 0.17)\\\\A = 50 * 1.17 \\\\A = 58.5\)
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how many solutions does 6x−y=−1 6x+y=−1
Answer:
x=−1/6 and y=0
Step-by-step explanation:
Answer:
There is one solution.
Step-by-step explanation:
x = - 1/6
y = 0
It can be solved simultaneously
6x - y = -1
6x + y = -1
Subtract equation two from equation one
-2y = 0
Divide both sides by-2
y = 0/-2
y = 0
Substitute 0 for y in either of the equations to get x
6x - 0 = -1
6x = -1
Divide both sides by 6
x = -1/6
Given the probobilfy distribufons shown to the right, complete the following parts. a. Computs the expected value for each distrbution. b. Compute the standard deviation for each distribution c. What is the probability that x will be at least 3 in Distribution A and Ditrbution B ? d. Compare the resulis of distributions A and B
a. Expected ValueFor a distribution, the expected value is the sum of the product of each value of the variable and its probability. Here are the expected values for distributions A and B respectively:A = (0 x 0.1) + (1 x 0.3) + (2 x 0.4) + (3 x 0.2) = 1.4B = (0 x 0.2) + (1 x 0.3) + (2 x 0.2) + (3 x 0.1) + (4 x 0.1) + (5 x 0.1) + (6 x 0.0) = 1.8
b. Standard DeviationThe standard deviation is the square root of the variance of a distribution. The variance of a distribution is the sum of the squared deviations of each value from the expected value, weighted by its probability, divided by the total probability. Here are the standard deviations for distributions A and B respectively:A = √[((0-1.4)² x 0.1) + ((1-1.4)² x 0.3) + ((2-1.4)² x 0.4) + ((3-1.4)² x 0.2)] = 1.166B = √[((0-1.8)² x 0.2) + ((1-1.8)² x 0.3) + ((2-1.8)² x 0.2) + ((3-1.8)² x 0.1) + ((4-1.8)² x 0.1) + ((5-1.8)² x 0.1) + ((6-1.8)² x 0.0)] = 1.478
c. Probability of x ≥ 3The probability of x being at least 3 can be found by adding up the probabilities of x = 3, 4, 5, and 6 (if applicable). Here are the probabilities for distributions A and B respectively:A = 0.2B = 0.2
d. Comparison of Distributions A and BThe expected value for distribution B is higher than that for distribution A, indicating that the center of distribution B is farther to the right than that of distribution A. The standard deviation for distribution B is also higher than that for distribution A, indicating that the data is more spread out for distribution B.
The probability of x being at least 3 is the same for both distributions, but the probabilities of other values of x are different. Overall, distribution B is shifted to the right and has a larger spread than distribution A.
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you have 600 ft of fencing to make a pen for hogs. if you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area?
The dimensions that maximize the area are 150ft × 300ft.
What do we mean by dimensions?A topological measurement of an object's dimension is the extent of its covering qualities. It is, essentially, the number of coordinates required to specify a location on the object. A cube is three-dimensional, whereas a rectangle is two-dimensional.So, let y be the length of the side parallel to the river and x be the length of each of the two sides perpendicular to it.
The following provides the total fencing length:
2x + y = 600y = 600 - 2xThe rectangular pen's surface area is:
A = xyA = x(600 - 2x)A = 600x - 2x²We may determine the value of x required to maximize the area by determining the value of x for which the derivative of the area function is zero:
dA(x)/dx = d(600x - 2x²)/dx0 = 600 - 4xx = 150The value of y is: for x=150
y = 600 - 2x = 600 - (2 × 150)y = 300Therefore, the dimensions that maximize the area are 150ft × 300ft.
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1. What is the length of a tv screen if the width is 25 inches and the diagonal is 50 inches?
what is the length of TV screen if the width 25inches and the diagonal is 50 inches
Solve this question
Answer:
X= -1
Step-by-step explanation:
2x+5=1(x+4)
2x+5=1x+4
2x-1x=-5+4
x=-1
what is 5x(2x+7)+x(3x-5 do you know
Answer:
43xx
Step-by-step explanation:
5x(2x+7)+x(3x-5)
first, do the equations inside the parentheses
2x+7=9x
3x-5=-2x
so,
5x(9x)+x(-2x)
Next, do 5x times 9x
(5x) x (9x) = 45
so,
45+x(-2x)
Next, do x times (-2x)
(x) x (-2x)=-2xx
so,
45+-2xx
=43xx
15 meters is equal to 150ძm
how does the order of the numbers affect the product in multiplication problems
Answer:
Uneffected.
Step-by-step explanation:
The order of the numbers doesn't affect the product in multiplication problems.
For example, we need to multiply 2 × 10.
We can write it as : 2×5×2
2×(5×2) = 2×10 = 20
Also,
(2×5)×2 = 10×2 = 20
Hence, it will remain unaffected when we multiply numbers.
To collect data from a number of people in a sample, use alan
The ways to collect data in a sample include:
Use of questionnaire.Through observations.Through surveys.What is a sample?It should be noted that a sample simply means a subset of a population that has the characteristics of the entire population.
In this case, the ways to collect data in a sample include the use of questionnaire, through observations, and through surveys.
l
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Find the value of x rounded to the nearest tenth.
Answer:
The answer to the equation is C