Answer:
Because is cannot be evenly divided by 2.
Sixty percent of the marbles in a bag are blue. One marble is chosen and replaced. A second marble is chosen and replaced. Then a third marble is chosen. What is the probability that a blue marble will not be chosen?
Answer:
0.064. same as 8/125
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the total outcome.
Given that Sixty percent of the marbles in a bag are blue
The probability of picking a blue marble
p(b) = 60% = 3/5
The probability of not picking a blue marble
np(b) = 1 - 60%
= 1 - 3/5
= 2/5
Hence where 3 marbles are picked and replaced, the probability of not picking a blue marble
= 2/5 * 2/5 * 2/5
= 8/125
= 0.064
Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship between driving hours
Answer:
52 miles per hour
Step-by-step explanation:
I think you're missing some info, so this is all I can help with right now
using only these statistics, and taking into account the fact that the two models have a differing number of independent variables, which model is preferred?
In order to determine which model is preferred, we need to take into account the significance of the independent variables and the overall fit of the model. It is important to note that having a differing number of independent variables does not necessarily mean one model is better than the other.
Firstly, we need to analyze the significance of the independent variables in both models. A variable is considered significant if it has a p-value less than 0.05. If one model has more significant variables than the other, it may be preferred. However, if both models have similar levels of significance, we need to look at the overall fit of the model.
One way to assess the overall fit of the model is to look at the R-squared value. This value indicates the proportion of variation in the dependent variable that can be explained by the independent variables. A higher R-squared value indicates a better fit. However, this value should be interpreted in the context of the specific problem and should not be used as the sole determinant of model preference.
In addition, other factors such as the complexity of the model and the interpretability of the results should also be considered when deciding which model is preferred.
Therefore, the answer to the question of which model is preferred cannot be determined solely based on the fact that the two models have a differing number of independent variables. It requires a thorough analysis of the significance of the independent variables, the overall fit of the model, and other relevant factors.
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It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find (i) the value of y when x = : 12, (ii) the value of x when y = 42.
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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Answer the following questions after you have worked problem 3-27 on p. 125 of PMS:
1. What was the total number of acres planted for the optimal solution?
2. How much fertilizer (in tons) would need to be available for the farmer to produce only corn?
3. SolverTable allows you to analyze the relationship between fertilizer available and acres planted. What is the peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments?
The total number of acres planted for the optimal solution is not provided in the given information.
The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.
The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.
I can help explain the general approach to answering the questions you mentioned.
To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.
Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.
SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.
Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.
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Three to the fourth means multiply 3 together 4 times, so expanded form is 3 x 3 x 3 x 3.
Answer:
You are correct
Step-by-step explanation:
Another way to do it is 4 x 4 x 4 and that would equal 12.
Hope this helps :)
Answer:
This is correct :)
Step-by-step explanation:
3^4= (3)(3)(3)(3)
HTH
Define a variable and write an expression for each phrase.
9. 2 more than twice a number
10. a number minus 11
11. 9 minus a number
12. a number divided by 82
13. the product of 5 and a number
14. the sum of 13 and twice a number
15. the quotient of a number and 6
16. the quotient of 11 and a number
Please help me on this question
A square mirror has an area of 25 square feet. How long is each edge of the mirror?
Etsuko practices origami. The square papers she uses have a side length of either 7. 5 cm
or 25. 4 cm. Etsuko says the length of the larger paper is 32. 9 cm greater than the length
of the smaller paper.
Is Etsuko correct? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu.
To find how many centimeters greater the length of the larger
smaller paper, the lesser number of centimeters needs to be
greater number of centimeters, which gives a result that is
is
because 25. 4 cm is Choose.
paper is than the length of the
the
7. 5 cm.
No, Etsuko is not correct. The length of the larger paper is 17.9 cm greater than the length of the smaller paper.
How to explain the informationThe smaller paper has a side length of 7.5 cm. The larger paper has a side length of 25.4 cm.
The difference between the two side lengths is 25.4 cm - 7.5 cm = 17.9 cm.
Therefore, the length of the larger paper is 17.9 cm greater than the length of the smaller paper.
Etsuko's error is likely due to the fact that she rounded the difference between the two side lengths to 32.9 cm. However, this rounding error is significant, and it results in her answer being incorrect.
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Felix and Megan are going hiking and are trying to figure out how much water
they should bring with them on the hike.
t = the length of the hike
w = the amount of water they should bring on the hike
Which of the variables is dependent?
Answer:
w
Step-by-step explanation:
The amount of water they need to bring depends on how long they will be hiking.
Find the dimensions of the square.
Area = 1.69 km²
Answer:
1.3 km by 1.3 km
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
1.69 km^2 = s^2
Take the square root of each side
sqrt(1.69 km^2) = sqrt(s^2)
1.3 km = s
Answer: A≈2.86
Step-by-step explanation: multiply the area value by 144
A=a2=1.692≈2.8561
An union representative studies the weekly income for a senior level worker position in an automobile industry. It is obtained that a 95% confidence interval for the mean weekly income of all employees of the same senior position is ($1371, $1509). Which one of the following interpretations of this interval is correct?
A.
We conclude that 95% of all employees from the this position have income between $1371 and $1509 per week.
B.
We can 95% confident that the sample mean is between $1371 and $1509.
C.
If random samples of nine employees were repeatedly selected from the population of all employees from the this position, then 95% of the time the sample mean income would be between $1371 and $1509.
D.
If random samples of nine employees were repeatedly selected from the population of all employees from the this position, then 95% of the time the population mean income would be between $1371 and $1509.
C. If random samples of nine employees were repeatedly selected from the population of all employees from this position, then 95% of the time the sample mean income would be between $1371 and $1509.
This interpretation refers to the concept of a confidence interval, which gives a range of values within which the true population mean is likely to fall. In this case, the interval ($1371, $1509) was obtained from a sample of data and suggests that the true mean weekly income for all senior level workers in the automobile industry is likely to be within this range with 95% confidence. Option A is incorrect as it implies that all employees in this position have income within this range, which is not necessarily true. Option B is incorrect as it only refers to the sample mean, not the population mean. Option D is incorrect as it refers to the population mean, which cannot be determined from a sample alone.
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Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.
Answer:
A linear function is written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
So any function of this shape, is a linear function, such that when graphed it is a straight line.
In this case, the function you wrote is:
Q: y = 1/3x + 2
Now, if the function is exactly what you wrote, then x is in the denominator:
y = 1/(3*x) + 2
Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.
If instead, the actual function Q is:
Q: y = (1/3)*x + 2
Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.
how to solve 3x - y = -1 and -3x - y= 5
Find the value of x.
Answer:
66 degrees
Step-by-step explanation:
The angles of a trapezoid add up to 360. You have to add all the angles up.
I added 103+ 133+ 58, and I got 294.
360 -294 = 66.
Therefore, x is 66 degrees
Hope this helps!
(this is like a simple way to solve it. Look at the answer below if you want to understand more)
Answer:
x = 66°
Step-by-step explanation:
In order to solve this, we need the sum of all interior angles which can be found by using the following formula where "n" is the number of sides the polygon has...
\(180(n - 2)\)
Now we use the formula and get...
180(n - 2) = 180(4 - 2) = 180(2) = 360
Now in order to find angle "x," we just substract the values of the other angles from 360, and so we get...
360° - 103° - 133° - 58° = 66°
Now we know that x = 66°
the angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the height of the tower.
Answer:
20.485 Meters
Step-by-step explanation:
So first you wanna draw a diagram. Start with the tower, then on the ground to the left (or right) draw a point. The point will be labeled as 42 m away from the tower. Now draw a line from that point to the top of the tower. This makes your triangle, and that angle you just drew that touches the point is 26 degrees.
Now, since you have a right triangle you can use trig. You know an angle and a side. Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower. So opposite and adjacent is tangent. So you set up tan(26) = o/42 where o is the opposite side.
So solving you get o = 20.485 meters
What is the greatest common factor (GCF) of 63 and 84?
Answer: 21
Step-by-step explanation:
segment jk has coordinates j(3 -6) and k(-3 2). Find the coordinates of the midpoint M. Find the distance between the endpoints of JK.
The coordinates of the midpoint M of segment JK are (-0. 3). The distance between the endpoints of JK is sqrt(104) or approximately 10.198.
To find the coordinates of the midpoint M of segment JK, we can use the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. So, for segment JK with endpoints J(3, -6) and K(-3, 2), the x-coordinate of the midpoint is (-3+3)/2 = 0 and the y-coordinate of the midpoint is (-6+2)/2 = -2. Therefore, the coordinates of the midpoint M are (0, -2).
To find the distance between the endpoints of JK, we can use the distance formula, which states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by the square root of [(x2-x1)^2 + (y2-y1)^2]. So for segment JK with endpoints J(3, -6) and K(-3, 2), the distance is sqrt[(-3-3)^2 + (2-(-6))^2] = sqrt[36 + 64] = sqrt(100) = 10. Therefore, the distance between the endpoints of JK is approximately 10.198.
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can someone help and explain
Answer: 4
Step-by-step explanation:
6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.
Answer:
2/12
Step-by-step explanation:
because when u multiple 2×6=12
so when u get 12 u think of multiplying it by 2 ,
2×2=4
Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?
Answer:
41 miles
Step-by-step explanation:
30+10+1=41
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What is AAS ASA SSS SAS?
The rules AAS, ASA, SSS and SAS are congruence rule of triangle and the each rules has been explained
The rules AAS, ASA, SSS and SAS are congruence rule of triangle
SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent
SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to the two sides and one included angles between the sides of the other triangle, then both triangles are congruent
ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent
AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent
Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle
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what is 4x-8+5x=28 plz help me with this
Answer:
x=4
Step-by-step explanation:
4x-8+5x=28
9x-8=28
Add 8 to both sides.
9x=36
Divide 9 from both sides.
x=4
Hope this helps! Plz give brainliest!
Hello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
Answer this question to get marked as brainliest!!!
Answer:
∠ R = 120°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 , that is
subtract 60 from 180
∠ R = 180° - 60° = 120°
6 tenths+3 thousandths
Please help me with this one.
Answer:
Step-by-step explanation:
Jackie you should know that the supplemental angles always add to 180° :)
That's like angles 1 & 2 or 55° & 1 . both are supplemental and add to 180°
Knowing this should make answering this pretty easy. :)
180 = ∠1 + 55
125 = ∠1
∠3 =∠1
∠2 = 55°
since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?
If you flip two coins 76 times, what is the best prediction possible for the number of times both coins will land on tails?
Answer:
38 times
Step-by-step explanation:
A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)
Hope this helps :)
Answer:
Step-by-step explanation:
19