Answer:
5, 7.5, and 10
Step-by-step explanation:
\( \frac{2.5 + 12.5}{2} = \frac{15}{2} = 7.5\)
\( \frac{2.5 + 7.5}{2} = \frac{10}{2} = 5\)
\( \frac{7.5 + 12.5}{2} = \frac{20}{2} = 10\)
-2 ≤2x-4 <4 solve inequality
-8 < 4
hope it helps
Answer: -2≤-8<4
Step-by-step explanation:
There are the same number of beans in each box.How many beans are there in one box?
Answer:
Well, the answer is based on how many beans there are in total
Step-by-step explanation:
If there are, for instance, 36 beans and four boxes, each box will have nine beans. You'll have to divide the total number of beans and the number of boxes. You'll find the solution with this method. Otherwise, if there are no details on how many beans and boxes there are, the answer is unclear.
A man wants to measure the height of a nearby building. He places a 5 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by
the shadow of the building. The total length of the building's shadow is 167 ft, and the pole casts a shadow that is 4.5 ft long, How tall is the building? Round
your answer to the nearest foot. (The figure is not drawn to scale.)
Building
Х
$
Pole
Shadow of pold
Shadow of building
The height of the building to the nearest foot is 186 feet.
The situation form two similar right triangle.
Properties of right triangle:One of its angle is 90 degrees.The angles and sides can be found using trigonometric ratios.Similar triangles:Similar triangle are not necessarily the same size. There corresponding angles are the same. The corresponding sides are a ratio. Therefore, we will establish a ratio of the triangles.
x = height of the building
Using similar triangle ratio:
5 / x = 4.5 / 1675 / x = 4.5 / 167
cross multiply
167 × 5 = 4.5x
4.5x = 835
x = 835 / 4.5
x = 185.555555556
x = 186 ft.
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1) Simplify. 2x^(-2)
Using the above property, the expression of the problem is simplified as follows:
\(2\cdot x^{-2}=2\cdot\frac{1}{x^2}=\frac{2}{x^2}\)The general form of the solutions of the recurrnce relation with the following characteristic equation is:
(r-1)(r-4)=0
A. an=a1(1)n-a2(4)n
B. None of the above
C. an=a1(-1)n+a2(4)n
D. an=a1(-1)n+a2(-4)n
The characteristic equation for the recurrence relation is (r-1)(r-4)=0. This equation has two roots:
r=1 and r=4. Therefore, the general form of the solution is an = a1(1)n + a2(4)n. Therefore, the correct answer is A.
The recurrence relation can be written as an = an-1 + 4an-2. Substituting the general form of the solution into th
is equation, we get a1(1)n + a2(4)n = a1(1)n-1 + a2(4)n-1 + 4a1(1)n-2 + 4a2(4)n-2. Dividing both sides by 4n-2, we get (a1/4)(1)n-2 + a2(1)n-2 = (a1/4)(1)n-3 + a2(4)n-3 + a1(1)n-4 + a2(4)n-4. This equation holds for all n. Therefore, equating coefficients of like terms, we get a1/4 = a1/4, a2 = 4a2, a1 = a1/4, and a2 = 4a2. Solving these equations, we get a1 = a1/4 and a2 = 4a2.
Therfore, the general form of the solution is an = a1(1)n + a2(4)n.
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The general form of the solutions of the recurring relation with the following characteristic equation is ( an=a1(1)n-a2(4)n.
The general form of the solutions of the recurrence relation with the characteristic equation (r-1)(r-4)=0 is a linear combination of the form an=a1(1)n+a2(4)n, where a1 and a2 are constants determined by the initial conditions of the recurrence relation.
This can be seen by factoring the characteristic equation into two linear factors: r-1=0 and r-4=0, which correspond to the two possible roots of the characteristic equation.
The solution to the recurrence relation is a linear combination of these two roots raised to the power of n, with the coefficients determined by the initial values of the sequence.
Therefore, the correct answer is A.
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40 points!!!Identify the function type in the graph, and the. Describe a relationship that could be modeled by the function represented by the graph.
Answer:
-2 to 0.8 seems to be like than..
18 - 11 + 19 +_= 36?
Answer:
10
Step-by-step explanation:
salma has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. each small cup holds 12 ounces of lemonade and each large cup hold 16 ounces of lemonade. salma sold 60 cups of lemonade totaling 920 ounces. determine the number of small cups sold and the number of large cups sold
If Salma sold 60 cups of lemonade with total 920 ounces, then the number of small cups is 10 and the number of large cups is 50.
The problem can be translated into a system of linear equations.
Let:
p = the number of small cups sold
q = the number of large cups sold
"Salma sold 60 cups" can be translated into equation:
p + q = 60 (equation 1)
"totaling 920 ounces" can be translated into equation:
12p + 16q = 920 (equation 2)
Multiply equation 1 by 12 then substracted from equation 2:
12p + 16q = 920
12p + 12q = 720 _
4q = 200
q = 50
Substitute q = 50 into equation 1:
p + 50 = 60
p = 10
Hence, the number of small cups = 10, the number of large cups = 50.
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cosA.cosB-sin. is same aso Sin * (A + B) b. Sin * (A - B) d. Cos * (A - B) c. Cos * (A + B)
Sorry i think like that the answer n sorry my write bad.
Thaks for your poin
Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
A student in the sophomore class has an equal chance of being in room 1, 2, 3, 4, or 5 for any of her six classes. What is the probability that she will be in room 3 for at least one class?
a.0.80
b.0.74
c.0.26
d.0.14
Answer:
b might be correct
Step-by-step explanation:
I hope this helps
Michael downloaded 16 apps on his iPhone in 12 seconds? At this rate, how many apps can he download in one minute? (12 seconds = 1/5 minute)
Suppose that X has a discrete uniform distribution on the integers 2 to 5. Find V(4X).
V(4X) = 64, where X has a discrete uniform distribution on the integers 2 to 5.
We ought to discover the 4X likelihood mass function. We know that the conceivable values for X are 2, 3, 4, and 5, so the conceivable values for 4X are 8, 12, 16, and 20.
The probability that X takes one of these values is 1/4 since X is a number between 2 and 5 and contains a discrete uniform conveyance.
So the probability mass function for 4X is
P(4X = 8) = P(X = 2) = 1/4
P(4X = 12) = P(X = 3) = 1/4
P(4X = 16) = P(X = 4) = 1/4
P(4X = 20) = P(X = 5) = 1/4
Now we can use the formula for the variance of a discrete random variable.
\(V(4X) = E[(4X)^2] - [E(4X)]^2\)
where E represents the expected value.
To find E(4X), we can use the linearity of expectation.
E(4X) = 4E(X)
Since X has a discrete uniform distribution over the integers 2 to 5, its expected value is
E(X) = (2+3+4+5)/4 = 3.5
So E(4X) = 4(3,5) = 14. To find\(E[(4X)^2]\), we need to use the 4X probability mass function.
\(E[(4X)^2] = (8^2)(1/4) + (12^2)(1/4) + (16^2)(1/4) + (20^2)(1/ Four)\)
= 260
Now we can substitute these values into the formula for V(4X).
\(V(4X) = E[(4X)^2] - [E(4X)]^2\)
\(= 260 - 14^2\)
= 260 - 196
= 64
Therefore V(4X) = 64.
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help me out and please explain how you got the answer!!
Answer:
The choice B. q = 62
Step-by-step explanation:
\( - 55 + q = 7 \\ q = 7 + 55 \\ q = 62\)
We put the known on one end and the unknown on the other, and when we switch from one end to the other, the sign changes.
I hope I helped you^_^
-55+q=7
q=62
now
-55+62=7
7=7# ans
You build a taser-net that you can use to stun and catch drones, before tagging them and re-releasing them into the wild. Working for a week, you manage to tag 400 drones, releasing them back into the wild. After waiting a week, you start catching drones again. Catching another 400 drones, you find that 270 of the drones you’ve caught are tagged, meaning you’d caught them before. 130 of your new catch are untagged, meaning this is the first time that you’ve caught them.Assume drones were equally likely to be caught at all times. Before catching the second batch of drones, there were 400 tagged drones in the wild, the rest were untagged.1) After catching the second batch of drones, what is the smallest number of drones N that might be in the wild, in total?2) What was the sample space of possible sets of 400 drones that you might catch in the second batch? How many possible outcomes is this?3) What was the probability of catching exactly 270 tagged drones and 130 untagged drones, in the second batch?4) What number of drones N makes your second batch results as likely as possible?5) Assuming again that the probability that N = n is proportional to the probability of catching these second batch results with n total drones in the air, find again the smallest nmax so that P(N ≤ nmax) = 0.95.
The answer to the question is 530, C(N, 400), C(400, 270) * C(N - 400, 130) / C (N, 400), 0.95 respectively.
1) After catching the second batch of drones, the smallest number of drones N that might be in the wild, in total, is 530.
This is because we know that there are 400 tagged drones in the wild, and 130 untagged drones that we caught in the second batch.
Therefore, the smallest possible number of drones in the wild is 400 + 130 = 530.
2) The sample space of possible sets of 400 drones that you might catch in the second batch is the set of all possible combinations of 400 drones from the total number of drones in the wild.
The number of possible outcomes is given by the binomial coefficient C(N, 400), where N is the total number of drones in the wild.
3) The probability of catching exactly 270 tagged drones and 130 untagged drones, in the second batch, is given by the hypergeometric distribution:
P(X = 270) = C (400, 270) * C(N - 400, 130) / C(N, 400)
where N is the total number of drones in the wild, and C(n, k) is the binomial coefficient.
4) The number of drones N that makes your second batch results as likely as possible is the number that maximizes the probability of catching exactly 270 tagged drones and 130 untagged drones.
This can be found by taking the derivative of the probability with respect to N and setting it equal to zero, and solving for N.
This will give you the value of N that maximizes the probability.
5) To find the smallest nmax so that P(N ≤ nmax) = 0.95, we need to find the value of nmax that satisfies the equation:
P(N ≤ nmax) = C(400, 270) * C(nmax - 400, 130) / C(nmax, 400) = 0.95
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Select the correct answer from each drop-down menu. A system of equations and its solution are given system A x-y=7 -3x+9y=-39 solution: (4,-3) complete the sentences to explain what steps were followed to obtain the system of equations below. system B x-y=7 6y=-18
Answer:
Step-by-step explanation:
x-y=7
-3x+9y=-39
Divide the second equation by 3
-x +3y = -13
Add this to the first equation
x-y=7
-x +3y = -13
----------------------
0x +2y = -6
Divide by 2
2y/2 = -6/2
y = -3
Now find x
x-y = 7
x -(-3) = 7
x+3 = 7
Subtract 3 from each side
x = 4
(4,-3)
Or by substitution
x-y=7
solve for x
x = 7+y
-3x+9y=-39
Substitute y+7 in for x
-3(7+y) +9y = -39
Distribute
-21 -3y +9y = -39
Combine like terms
-21 +6y = -39
Add 21 to each side
6y = -18
Answer:
The system has no real solutions.
Step-by-step explanation:
JGR-MST. Which statement is not always true? someone pls helpp
Answer:
It is D, I think it’s because the letters need to be around in the same order
The angle corresponding to each other of different triangle are equal.
What are similar triangle ?"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".
Here given,
\(\triangle JGR\) is similar to triangle \(\triangle MST\)
So, from the definition of similar triangle ,
angle J ≅ angle M
angle G ≅ angle S
angle R ≅ angle T
Hence, option D is correct.
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Think about 6 ÷ 2/3
How can you find the number of
Multiply 6 by
Then divide by
1s in 67
to find the number of thirds in 6.
to find the number of groups of 2 thirds.
Answer: 9
Step-by-step explanation:
\(\displaystyle\\6\div\frac{2}{3}=\\\\ 6*\frac{3}{2}=\\\\ \frac{(6)(3)}{2}=\\\\ \frac{(2)(3)(3)}{2} =\\\\(3)(3)=\\\\9\)
PPLEASE HEP PLEASE I BEG YOU
The number of ways six people can be placed in a line for a photo can be determined using the expression 6!. What is the value of 6!? Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other person points to the sign. The expression StartFraction 6 factorial Over (6 minus 2) factorial EndFraction represents the number of ways the two people can be chosen from the group of six. In how many ways can this happen? In the next photo, three of the people are asked to sit in front of the other people. The expression StartFraction 6 factorial Over (6 minus 3) factorial 3 factorial EndFraction represents the number of ways the group can be chosen. In how many ways can the group be chosen?.
The value of 6! is 720.
The number of ways the two people can be chosen from the group of six is 30 ways.
The number of ways the group can be chosen is 20 ways.
The number of ways the six people can be placed in a line for a photo is calculated as;
\(= 6!\\\\= 6 \times 5 \times 4 \times 3 \times 2 \times 1\\\\= 720 \ ways\)
The number of ways the two people can be chosen from the group of six is calculated;
\(= 6P_2\\\\= \frac{6!}{(6-2)! } \\\\= \frac{6!}{4!} \\\\= \frac{6\times 5 \times 4!}{4!}\\\\= 6\times 5 \\\\= 30 \ ways\)
The number of ways the group can be chosen is calculated as;
\(= 6C_3\\\\= \frac{6!}{(6-3)! \times 3!} \\\\= \frac{6!}{3! \times 3!} \\\\=20 \ ways\)
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Answer:
The answer is 20
Step-by-step explanation:
What is the answer for 36=18x
Answer:
x=2
Step-by-step explanation:
36=18x
x=36/18
x=2
Answer:
\(x = 2\)
Step-by-step explanation:
\(36 = 18x \\ divide \: both \: sides \: by \: 18\\ \\ 2 = x\)
Which r-value represents the weakest correlation
a.-0.75 ,
b. -0.27,
c. 0.11,
d. 0.54
The weakest correlation is represented by the value of c. 0.11.
The weakest correlation is represented by the value that is closest to zero, as it indicates a weaker relationship between the variables. In this case, the answer is: c. 0.11
A correlation coefficient of 0.11 is closer to zero than the other options provided, indicating a weaker correlation compared to the rest. The negative values (-0.75 and -0.27) represent negative correlations, but their magnitudes are larger than 0.11, making them stronger correlations (although still considered weak in general). The positive value of 0.54 represents a moderate positive correlation.
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Is the graph below a function?
Answer: Yes it is
Also could you mark my answer as brainliest? It helps and doesnt hurt
Answer:
Yes.
Step-by-step explanation:
This line is a linear function to be exact.
Rejecting the null hypothesis when it is true is called a ________ error, whereas not rejecting a false null hypothesis is called a ________ error.
a. Type II; Type I
b. Type I; Type II
c. minor; major
d. significant; nonsignificant
The correct option is b.Type I; Type II.
Rejecting the null hypothesis when it is true is called a type I error, whereas not rejecting a false null hypothesis is called a u type II error.
A type I error occurs when a null hypothesis that is true in the population is rejected. A false positive is an example of this type of error. A type II error occurs if a null hypothesis that is actually false in the population is not rejected. This type of error is known as a false negative.A type II error differs from a type I error in that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The likelihood of making a type I error is equal to the level of significance set for the hypothesis test.
Thus, for the given question, option. b is the correct answer for the blanks in the question.
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Kristen has 6 gallons of water. Josh has 22 quarts of water. How many more pints of water does Kristen have than Josh?
Answer: 4 more pints
Step-by-step explanation:
6 gallons = 48 pints
22 quarts = 44 pints
Subtract
Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms
In the attached diagram the perimeter of the hall way is
17x - 34How to find the perimeter of the hallwayThe perimeter of the hall way is calculated by adding all the sides of the hallway
The perimeter of the hall way = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4
adding like terms results to
The perimeter of the hall way = 17x + (-34)
Finally, the simplified expression is:
17x - 34
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Select the correct answer
Choose the number sentence that ilustrates the distributive property of multiplication over
Answer:
b
Step-by-step explanation:
a x (b + c) = (a x b) + (a x c)
Answer:
B is the answer...
2(5+6)
(2×5)+(2×6)
FREE BRAINLEST.
The ______ number in an ordered pair is the y-coordinate and corresponds to a number of the ______.
Answer:
The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.
Step-by-step explanation:
hope this helps you! :)
The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
What is Coordinate System?a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
An ordered pair contains the coordinates of one point in the coordinate system.
A point is named by its ordered pair of the form of (x, y).
In an order pair the first number represents the x coordinate and the second number represents the y coordinate.
To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
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the correct answer is E
Answer:
its e lol
Step-by-step explanation:
Answer:
for what?
Step-by-step explanation:
describe the transformation then graph f(x)=x+4; g(x)=f(x-2)
Answer:
Use This it will help
Step-by-step explanation: