Answer: 296 with a remainder of 1 (I'm guessing this by mental math, btw, why not just use a calculator, the calc is your best chance for a right answer anyway)
Edit: Used calc, was close lol, 296.5 is the exact answer
Step-by-step explanation:
P.S: Question, is that supposed to be divided or square rooted?
Anyway, I'll explain it since I can't leave it hanging:
2*2 = 4 so 5-4 = 1 and bring 9 down, after that 2*9 = 18, so it becomes 1, and then bring down 3 for 13, and 6*2 = 12, so 13-12 = 1, and that is 296 with a remainder of 1.
What is 6,129,999 rounded to the nearest thousand
Answer: 6,130,000
Step-by-step explanation:
No work needed
can the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
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What is the probability that a standard normal random variable will be between 0.3 and 3.2?
A standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.
What is probability?The probability is calculated by dividing the total number of outcomes by the total number of events.
Odds and probability are two different concepts.
Divide the probability of an event occurring by the probability that it won't happen to calculate chances.
The four main types of probability that mathematicians study are axiomatic, classical, empirical, and subjective.
So, the probability that a standard normal random variable will occur with a probability ranging from 0.3 to 3.2 must therefore be calculated.
First, a mean and standard deviation are introduced for a standard normal random variable.
The probability that a standard normal random variable will fall between 0.3 and 3.2 needs to be calculated.
Therefore, it should be more likely that:
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using the usual value of z:
P(0.3<z<3.2)=0.9993−0.6179
Justify by saying:
P(0.3<z<3.2)=0.3814
Therefore, a standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.
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Use the diagram below to find "x".
Answer:
Firstly, we are given that ∠BOA ≅ ∠BOC and ∠OCB ≅ ∠OAB. Next, we may notice that △COB and △AOB share side OB. Based on the reflexive property, we can prove that OB is congruent to itself, and establish a triangle congruency between △COB and △AOB by the hypotenuse-leg theorem. Now that these two triangles are congruent, corresponding parts of them must also be congruent. Therefore, CB ≅ BA and 24 - 2x = 3x. Now, we can simply solve for x, to reach the answer: 4.8.
Step-by-step explanation:
For the parrallelogram, if measure of angle 2= 5x-28 and measure of angle 4= 3x-10, Find x.
Answer:
x = 9
Step-by-step explanation:
Unfortunately you didn’t provide the figure however we can use the picture below to work on:
from a property of the parallelogram (opposit angles) we know that angle 2 and 4 are equal in measure
then
5x - 28 = 3x - 10
then
5x - 3x = 28 - 10
then
2x = 18
then
x = 18/2
= 9
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠8=(45x−20)∘, m∠2=(20x+70)∘
The theorem or postulate that is related to the measures of angles in a pair is the Vertical Angles Theorem. According to this theorem, vertical angles are congruent, meaning that their measures are equal.
In this case, we have two angles, ∠8 and ∠2, with their measures given in terms of x. Since ∠8 and ∠2 are vertical angles, we can set their measures equal to each other and solve for x:
m∠8 = m∠2
(45x - 20)° = (20x + 70)°
Now, we can solve for x by simplifying and solving the equation:
45x - 20 = 20x + 70
45x - 20x = 70 + 20
25x = 90
x = 90/25
x = 18/5 or 3.6
To find the measures of ∠8 and ∠2, we substitute the value of x back into the expressions:
m∠8 = 45x - 20
m∠8 = 45(3.6) - 20
m∠8 = 162 - 20
m∠8 = 142°
m∠2 = 20x + 70
m∠2 = 20(3.6) + 70
m∠2 = 72 + 70
m∠2 = 142°
Therefore, using the Vertical Angles Theorem, we have determined that the measures of ∠8 and ∠2 are both 142°.
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A = 1/2(a + b)h for h
The answer fam is....... H = 2A/a+b
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
See the similar shape below and find the length of /YZ/
Answer:
YZ = 20 cm
Step-by-step explanation:
Δ XYZ and Δ CBA are similar ( AA postulate )
The corresponding sides are then in proportion , that is
\(\frac{YZ}{BA}\) = \(\frac{XY}{CB}\) ( substitute values )
\(\frac{YZ}{8}\) = \(\frac{25}{10}\) = 2.5 ( multiply both sides by 8 )
YZ = 8 × 2.5 = 20 cm
What is the answer for this question (625\256)3/4 I need it asap
Answer:
1 11/64
Step-by-step explanation:
we will have to square root the numerator and the denominator that is 625/256 which will give us 25/16. No need to change it to mixed number then multiply 25/16 by 3/4, you can't divide through so you multiply and it will give you 75/64. Then change it to a mixed number, thats how we got 1 11/64.
3.12 If h(t)= [u(t-1)- u(t - 4)] and x(t) = t[u(t)- u(t-2)], obtain graphically the response y(t). For what value of t does y(t) reach its maximum value?
The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:
Plotting h(t):
The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].
The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:
For t < 1, h(t) = [0 - 0] = 0
For 1 ≤ t < 4, h(t) = [1 - 0] = 1
For t ≥ 4, h(t) = [1 - 1] = 0
So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.
Plotting x(t):
The function x(t) is defined as x(t) = t[u(t) - u(t-2)].
For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.
For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.
For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.
So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.
Obtaining y(t):
To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.
In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.
The convolution y(t) = h(t) * x(t) can be written as:
y(t) = ∫[1,4] h(τ) x(t - τ) dτ
For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).
For 1 ≤ t < 2, the convolution integral simplifies to:
y(t) = ∫[1,t+1] 1(0) dτ = 0
For 2 ≤ t < 4, the convolution integral simplifies to:
y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ
Evaluating this integral, we get:
\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4
For t ≥ 4, y(t) will be 0 again.
Maximum value of y(t):
To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.
Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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The school wants to cover the play court with sports court flooring. Using 3. 14 for it, how many
square feet of flooring does the school need to purchase to cover the play court?
The school wants to cover the play court with sports court flooring. Using 3.14 for it, how many square feet of flooring does the school need to purchase to cover the play court.
The area of a circular court can be calculated using the formula: A = πr²The school wants to cover the play court which is circular in shape with sports court flooring. Given that π = 3.14 and radius of the court is not provided. Without knowing the radius of the court, it is not possible to calculate the area of the court and hence the amount of flooring needed.To calculate the amount of flooring needed, we need to know the radius of the court.
Given that the school wants to cover the play court, it can be assumed that they have measured the court and have the necessary dimensions. If the radius is provided then we can easily calculate the area of the court and hence the amount of flooring needed to cover the play court.
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Using the side splitter theorem, which segment length would complete the proportion?
As per the side splitter theorem, the segment length would complete the proportion is GJ
In math, the side splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".
Here we have to find the segment length that would complete the proportion by using the side splitter theorem.
According to this theorem and by using the following diagram, we can elaborate the following proportion
=> GH/HE = GJ/JF
Here we have identifies that the segment that completes the proportion is GJ, because it must be used according to the theorem.
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What is the measure A in degree, in figure shown
We can find the angle A using the definition of supplementary angle:
\(\begin{gathered} m\angle A+167.3=180 \\ Solve_{\text{ }}for_{\text{ }}m\angle A: \\ m\angle A=180-167.3 \\ m\angle A=12.7 \end{gathered}\)Answer:
12.7⁰
Here is a list of numbers:
18, -4, -3, -19, 11, 1, -16 ,15 ,9 ,5
State the median.
Answer:
6
Step-by-step explanation:
To find the median you simply look for the number in the middle of the list.
In this particular case 1 and 11 are both the fifth number in the series of numbers. When this happens you have to add the two terms together (1+11) and divide by two (12/2)=6
Suppose you are interested in the determinants of college tuition prices. You collect data on a random sample of 500 colleges and universities in the U.S. in 2015. Then you estimate the following model using OLS, where tuition is measured in $1,000s: Tuition=7+4+Rank-0.20*Size+8*Private-0.4*LibArts Rank is the college's rank, ranging from 1 to 5, according to US News and World Report. Size is the number of students who attend the college, measured in 1,000s. Private is a binary variable that equals 1 if the college is private and equals 0 if the college is public. LibArts is a binary variable that equals 1 if the college is a liberal arts college and equals 0 otherwise. Standard error for betalhat=2 Standard error for betalhat=0.7 Standard error for beta2hat=0.12 Standard error for beta3hat=2 Standard error for beta4hat=0.6 R-squared=0.20 What is the predicted cost for a student who attends a private liberal arts college, which has 1,500 students, and a rank of 4.5? Suppose the student in question 1 switches from her college to a public, non-liberal arts college. Her new college has 15,000 more students than her old college, and its rank is 0.5 lower. How much money does she save in tuition?
The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.
In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.
If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.
To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.
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Find the probability that if you threw a dart randomly in the large rectangle below that itwould land in the square.35二+20f
Assuming the randomly throw is equally distributed along the rectangle area, the probability of hitting the square is the fraction of the area of the square with respect to the total are of the rectangle.
The area of the square is the square of its side:
\(A_{square}=3^2=9\)And the area of the rectangle is the product of its lengths by its height:
\(A_{rectangle}=5\cdot20=100\)So, the probability is the area of the square divided by the area of the rectangle:
\(P=\frac{9}{100}=0.09=9\%\)The probability if 9%.
The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net?
Answer: \(52\ cm,\ 176.55\ cm^2\)
Step-by-step explanation:
Given
The cylinder is 20 cm high
The radius of the cylinder is \(r=3\ cm\)
The total area of the figure is the sum of the rectangle and two circles
\(\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm\)
The total area of the figure is
\(\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2\)
A T-hirt tand on the boardwalk recently old 6 green hirt and 6 hirt in other color. Conidering thi data, how many of the next 20 hirt old would you expect to be green?
Considering the given data, 10 of the next 20 shirts sold would be expected to be green.
Based on the information provided, the proportion of green shirts among the 12 shirts sold is 6/12 = 0.5, or 50%. This means that half of the shirts sold were green in color. If this proportion holds true for the next 20 shirts sold, it is expected that half of the shirts to be green. That is,
( 20*0.5 = 10 shirts )
Therefore based on this data, it is supposed that 10 of the next 20 shirts sold would be green.
"
Correct question:
A T-shirt was on the boardwalk recently sold 6 green shirts and 6 shirts in another color. Considering this data, how many of the next 20 shirts old would you expect to be green?
"
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What is -1 60/100+0.1+1/4?
Answer:
The answer should be. -1.25
How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly
Answer:
If you invest $4000 at 2% compounded quarterly you will make 4,694$.
Step-by-step explanation:
Answer:
$4686.64
Step-by-step explanation:
here is the function 4000(1+0.02)^8
Write the equation for a line in slope intercept form that is parallel to the line 2x + 3y = 6 and passes through the point (0, 4).
Answer:
Let us find the slope of the line : x+ 4y = 6
we can write it as 4y = -x +6
y = -(1/4) x + ( 6/4)
slope of the line y= mx + b is m
so here slope = m = -1/4
because we have to find a paraller line so the slope for required line would be same : -1/4
equation of the line having slope m and passing through x1 y1 is :
Y= m( X-x1) + y1
let's plug m= -1/4 x1= -8 and y1 = 5
Y= (-1/4) ( X- -8) + 5
Y= ( -1/4) ( x+8) + 5
Y= (-1/4)( X ) + (-1/4)( 8) + 5
Y= (-1/4) x + 3
Let us now work on second part :
given line is : 2x- 3y = 12
let's write it -3y = -2x +12
y= (-2/-3) x + ( 12/ -3)
Y= ( 2/3) x - 4
slope of this line is 2/3
the required line is perpendicular to it
so the slope of required line = negative resiprocal of this slope =
(-1/ slope of this line ) = -1/( 2/3) = -3/2
Equation of line with slope m= -3/2 and passing through x1= 2 and y1 = 6 is :
Y= m( X-x1) + y1
Y= ( -3/2) ( X- 2) + 6
Y= (-3/2) X - 2(-3/2) + 6
Y= ( -3/2 ) X + 9
Answer : for part 1 : Y= ( 2/3) x - 4
Answer for part 2 : Y= ( -3/2 ) X + 9
Step-by-step explanation:
Consider the recurrence: T(N) - 9T(N/9)+N(IgN) Fill in the answers below. If a log is needed, use lg (short for log. 2). p- type your answer... case: choose your answer... T(N) - Thetal type your answ
Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).
For the given recurrence relation, T(n) - 9T(n/9)+N(IgN), we have to find the time complexity using the master theorem, which is given below:
Master Theorem:
Consider a recurrence relation T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1 and f(n) is an asymptotically positive function. Then, we have the following cases:
Case 1: If f(n) = O(nᵏ) for some constant k < logb(a), then T(n) = Θ(nlogb(a)).
Case 2: If f(n) = Θ(nᵏlogm(n)) for some constant k = logb(a), then T(n) = Θ(nᵏlog(m+1)n).
Case 3: If f(n) = Ω(nᵏ) for some constant k > logb(a), and if a.f(n/b) ≤ cf(n) for some constant c < 1 and sufficiently large n, then T(n) = Θ(f(n)).
In the given recurrence relation, we have a = 9, b = 9 and f(n) = n * log n.
Comparing a with bᵏ, we get a = bᵏ.
∴ k = 1
Taking log with base 9 on both sides, we get:
log₉T(n) = log₉(9T(n/9) + n * log n)log₉T(n) = log₉9 + log₉T(n/9) + log₉n * log₉log(n)log₉
T(n) = 1 + log₉T(n/9) + log₉n * log₉log(n)For f(n) = n * log(n), nᵏ = n¹, so k = 1 > 0.
Therefore, according to master's theorem, T(n) = Θ(n * log n).
Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).
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6 Q Find the area of the circle pictured above. Round your answer to the nearest tenth
Answer:
28.3 units^2
Explanation:
The area A of the circle is given by the formula
\(A=\pi(\frac{d}{2})^2\)where
π = 3.1415..
d = diameter of the circle.
Now, in our case d = 6; therefore,
\(A=\pi(\frac{6}{2})^2\)\(A=(3.1415)(3)^2\)\(A=(3.1415)(9)\)\(A=28.274\)Rounded to the nearest tenth this is
\(A=28.3\)Parallelogram A B C D is shown. The length of A B is (9 x minus 14) inches and the length of D C is (3 x + 4) inches. In parallelogram ABCD, what is DC? 3 in. 9 in. 13 in. 19 in.
Given:
In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.
To find:
The measure of DC.
Solution:
We know that opposite sides of a parallelogram are equal.
In the parallelogram ABCD, AB and DC are opposite sides. So,
\(AB=DC\)
\(9x-14=3x+4\)
\(9x-3x=14+4\)
\(6x=18\)
Divide both sides by 6.
\(x=\dfrac{18}{6}\)
\(x=3\)
Now,
\(DC=3x+4\) inches
\(DC=3(3)+4\) inches
\(DC=9+4\) inches
\(DC=13\) inches
The measure of DC is 13 in.
Therefore, the correct option is C.
Answer:
13in
Step-by-step explanation:
the primary purpose of statistical analysis is to: group of answer choices transform information into data.
The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.
What is statistical analysis?Statistical analysis is the method of using statistical techniques to collect and analyze data, evaluate its reliability and determine its statistical significance. The following are the primary purposes of statistical analysis:Provide summaries and descriptions of data: One of the most important applications of statistical analysis is to present data in a clear and concise manner. Summarizing the data can assist people in making sense of the data and drawing inferences from it.
For example, data can be summarized using graphs, charts, or tables. Identify patterns and relationships: The goal of statistical analysis is to identify any patterns or relationships that exist within the data. For example, statistical analysis can be used to determine if a product's sales are correlated with a specific time of year.
Test hypotheses and draw conclusions: Statistical analysis is used to test hypotheses and draw conclusions about a population or phenomenon. This is accomplished by using statistical techniques to determine whether or not the data supports a particular hypothesis. Statistical analysis can also be used to determine the probability of an event occurring in the future.
The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.
The complete question is as follows:
The primary purpose of statistical analysis is to:
a)transform information into data.
b)select samples and make inferences about populations
c)convert data into useful desicion-making information
d)perform statistical computations
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every morning jim runs for 30 minutes. if jim runs 10 miles per hour, how far does he travel?
Answer:
5 miles
Step-by-step explanation:
distance = rate times time
distance = (10 miles per hour)( 30 minutes) 30 minutes is equal to 1/2 hour
distance = \(\frac{10 miles}{hour}\) \((\frac{1 hour}{2} )\) You can cancel words, like like cancelling numbers The hours cancel out and you are left with \(\frac{10 miles}{2}\) which is equal to 5 miles.
Answer: 5 miles
Step-by-step explanation:
Jim runs 10 miles per hour, and 30 minutes is half an hour, so divide 10 by 2.
0. CHARITY Cain collects money on the weekends for his favorite charity. The
past four weekends he collected $105, $170, $132, and $165. How much
does he have to collect on the fifth weekend to average at least $150 for
the five weekends?
Answer:
He needs to get $178 to average at least $150.
Step-by-step explanation:
105, 132, 165, 170, and 178 has an average of 150.
A rectangular prism has a volume of 360 in3. If the height measures 6in. which base measurements could the prism have?
Answer:
Both sides that are parallel ( 6 inches I believe ) would be 12 in total for both sides. Then the top and bottom would be 3 inches ( I believe ) which would be 6. I think you need to do 6 times 12 until you get 360 and then see how many times you multiplied it and that is your answer. But I am not FULLY sure. Hope this helps somehow!
Step-by-step explanation: