Answer:
um 6 times 1.90 = 11.4 hope this helpssssssssssss piece
Step-by-step explanation:
Simplify.16 - 8 + 5x - 3x8 + 8 x10 x8 + 2 x16 + 2 x
8 + 2x
Explanation:The given expression is:
16 - 8 + 5x - 3x
Note that:
16 - 8 = 8
5x - 3x = 2x
Therefore:
The expression 16 - 8 + 5x - 3x can be simplified to:
8 + 2x
Please answer this question, URGENT 50 POINT
Answer: Use your brain aka 12 and 7
Step-by-step explanation:isn't this urgent?
Tom and rosie are designing a game. In each turn, a player rolls five 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=51+1+1+1+1=51, plus, 1, plus, 1, plus, 1, plus, 1, equals, 5 points, and the highest is 6+6+6+6+6=306+6+6+6+6=306, plus, 6, plus, 6, plus, 6, plus, 6, equals, 30 points.
Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
Based on the expected value, Rosie's statement is correct.
The expected value, denoted as E(X), represents the average or mean value of a random variable, in this case, the sum of points in a given turn when rolling the five dice.
Tom's statement, "A player will most likely get 17.5 points in any given roll," is not accurate. The expected value of 17.5 points does not necessarily mean that a player is most likely to get exactly 17.5 points in any single roll. Instead, it indicates that over many rolls, the average value of points earned in a turn is 17.5 points.
On the other hand, Rosie's statement, "Over 100 turns, we can expect a total of about 175 points," is correct. Since the expected value is 17.5 points per turn, over 100 turns, we can expect the total sum of points to be approximately 100 turns × 17.5 points/turn = 1750 points.
In summary, the expected value of 17.5 points represents the average outcome over multiple rolls, and based on this value, Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
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The complete question:
Tom and Rosie are designing a game. In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=5 points, and the highest is 6+6+6+6+6=30 points.
They let X represent the sum in a given turn, and they find the expected value of X is E(X) = 17.5 points.
Tom says, "A player will most likely get 17.5 points in any given roll."
Rosie says, "Over 100 turns, we can expect a total of about 175 points."
Whose statement is correct based on the expected value?
Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.
The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.
To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.
In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.
The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.
To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.
Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.
The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.
To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).
P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
= P(X1 + X2 + ... + X511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)
Since each value of X is 2.4, we can rewrite the probabilities as:
P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
= P(2.4 * 511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)
Now, we can calculate the probabilities:
P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)
Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:
P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
= 1 - 1
= 0
Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.
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Luca has already cycled 5 kilometers this year, plus he plans to cycle 5 kilometers during each trip to work. How many trips will Luca make to cycle a total of 50 kilometers?
Lucas rode 1,000 meters b/c
2 klm is = to 2000 meters.
and 1/4 of 2000 meters is 500 meters but then he had
to turn back to go home so that's another 500 meters and in total he rode 1,000 meters. give brainleist
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meof the solution(s) are in relation to the problem situation.1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formulah(t) = - 16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2? Solvefor t.
Solve for t using quadratic formula:
\(\begin{gathered} t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}\)Where:
\(\begin{gathered} a=-16 \\ b=45 \\ c=75 \end{gathered}\)so:
\(\begin{gathered} t=\frac{-45\pm\sqrt[]{45^2-4(-16)(75)}}{2(-16)} \\ t=\frac{-45\pm5\sqrt[]{273}}{-32} \\ so\colon \\ t\approx-1.175s \\ or \\ t\approx3.988s \end{gathered}\)We take the positive time, therefore:
Answer:
t = 3.988s
The object will hit the ground after approximately 3.988 seconds.
We can also say that the object will remain in the air for less than 4 seconds.
the sum of two numbers is 18 their difference is 8
Answer:
13 and 5
Step-by-step explanation:
x+y=18
x-y=8
_____
2x=26
x=13
So the first number must be 13
13+y=18
y=5
And the second number must be 5
When we write out the system of equations, we will get:
x+y=18
x-y=8
We can then use elimination to get just one variable.
x+y=18
+x-y= 8
Which gives us: 2x=26
We then divide by 2 and get: x=13
We next plug that into one of the two equations and solve for the other variable: (13)+y=18
We subtract 13 from both sides and get: y=5
So the two numbers are 13 and 5.
~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )
(q12) Find the volume of the solid obtained by rotating the region under the curve
over the interval [4, 7] that will be rotated about the x-axis
To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.
The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:
V = ∫[a, b] 2πx * f(x) * dx
In this case, the interval is [4, 7], so we need to evaluate the integral:
V = ∫[4, 7] 2πx * f(x) * dx
To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.
Please provide the equation of the curve so that I can assist you in finding the volume of the solid.
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write the equation of the line that satisfies the given conditions. express the final equation in standard form.contains the point(3, 8)and is perpendicular to the y axis;
The equation of the line that satisfies the given conditions and passes through the point (3,8) and is perpendicular to the y-axis is x=3. This can be answered by the concept of Simple equations.
A line perpendicular to the y-axis is parallel to the x-axis, and since it passes through the point (3,8), its equation can be written as x = 3. This is because for any point on this line, the x-coordinate will always be 3, and the y-coordinate can be any value, which means the line will be a vertical line passing through (3,8).
Therefore, the equation of the line that satisfies the given conditions and passes through the point (3,8) and is perpendicular to the y-axis is x=3, which is in standard form
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k=1/3 and k=3/2 which line would be steeper
Answer:
k = 3/2
Step-by-step explanation:
assuming k is your slope
rise/run = y/x
k = 1/3 therefore, (3,1) is your (x,y) points
k=3/2 therefore, (2,3) is your (x,y) points
as you can see, you move 2 more units up on the y-axis with k =3/2. Therefore, it is steeper.
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Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi
Answer:
C
Step-by-step explanation:
I just took the quiz :D
May I have Brainiest???
what type of military equipment have the u.s. and germany been in the news for sending as aid to ukraine?A. CentiB. MiliC. MikroD. Nano
Germany and the US are sending tanks to Ukraine as a show of support for the government in Kyiv, with Germany sending 14 Leopard 2 tanks & the US delivering 31 Abrams in the coming months.
The rationale behind this military aid is to demonstrate solidarity with Ukraine in its ongoing conflict with Russia & to bolster its military capabilities in the face of aggression. This move is seen as a signal to Russia that the international community will not tolerate further military incursions into Ukrainian territory and is committed to supporting Ukraine's sovereignty & territorial integrity. It is also hoped that this aid will help stabilize the situation in Ukraine and bring about a peaceful resolution to the conflict.
Centi, mili, micro and nano are not types of military equipment. Centi, mili, micro and nano are units of measurement used in the metric system.
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I have n nickels, d dimes and q quarters. In total i have 18 coins. I have twice as many nickels as dimes. Express n times d times q in terms of the number of nickels.
The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
In the question ,
it is given that ,
there are n nickels , d dimes , q quarters .
Also given that there is twice as many nickels as dimes ,
that means , n = 2d
So , d = n/2
also that total number of coins = 18 ,
So , n + d + q = 18
n + n/2 + q = 18
q = 18 - 3n/2
we need to find , n times d times q in terms of the number of nickels.
that means
= n × d × q
= n × n/2 × 18 - 3n/2
= n × n/2 × (36 - 3n)/2
= (n × n×(36 - 3n))/2×2
= n²(36-3n)/4
Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
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How would we describe this pattern? 3,5,7,9,11,...
9. A coin collector purchased 50 coins at $6.00 per coin. If
the value of each coin rose $0.20 the first month, decreased
$0.12 the second month, and rose $0.07 the third month,
what is the current value of the coin collection?
Answer:
6.15
Step-by-step explanation:
6+0.20-0.12+0.07= 6.15
Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute. 5. 5, 6, 7, 10, 7. 5, 8, 2009. 5, 9, 2008. 5, 8, 7, 7. 5, 6, 2006. 5, 5. 5 Which statements are true about a histogram with one-minute increments representing the data? Select three options. A histogram will show that the mean time is approximately equal to the median time of 7. 5 minutes. The histogram will have a shape that is left-skewed. The histogram will show that the mean time is greater than the median time of 7. 4 minutes. The shape of the histogram can be approximated with a normal curve. The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Please find attached the drawing of the histogram of the given data
created with MS Excel.
The statement that is true about the histogram is the option;
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.Reasons:
The given data sorted in increasing order are presented as follows;
5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10From the data given above, we have;
The number of data points, n = 15
The median, Q₂ = (n + 1)÷ 2th data point = The 8th term = 7.5
The mean = 7.433
The information displayed on a histogram is the way a continuous data is shaped and the way the data is spread.
The data points in 1 minute increments are presented as follows;
5.5 to 6.5 = 5 data points
6.5 to 7.5 = 4 data points
7.5 to 8.5 = 3 data points
8.5 to 9.5 = 2 data points
9.5 to 10.5 = 1 data point
Therefore, most of the data are between 5.5 to 8.5, with one-third of the data being within the class 5.5 to 6.5 range.
Therefore, the histogram is right skewed.
The median is given by the value at which the graph is shared into equal halves.
The median = 7.5The mean is given by the sum of the values divided by the number of values.
The mean = 7.433Therefore, the statement that is true about the histogram is; A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
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Answer please i will give brainliest
Step-by-step explanation:
a.
simply add both equations
x + y = 2
-3x - y = 5
----------------
-2x + 0 = 7
x = -7/2
x + y = 2
-7/2 + y = 2
y = 2 + 7/2 = 4/2 + 7/2 = 11/2
b.
1/2 x + 2y = -13
x - 4y = 8
first multiply the first equating by 2
x + 4y = -26
x - 4y = 8
--------------------
2x + 0 = -18
x = -18/2 = -9
x - 4y = 8
-9 - 4y = 8
-4y = 17
y = -17/4
-4.1=8(y-5) it says solve equation
\(\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\\)
Tyer brought a pencil holder in the shape of a triangular prism, as a gag gift for his friend's birthday.
(1) He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder?
(2) What is the minimum amount of Saran wrap that Tyler will need to cover the pencil holder, to ensure that no sand leaks out?
Answer: 10.5 cubic inches.
Step-by-step explanation:
Volume of pencil holder = Base x Height
Base (I think it's an isosceles triangle) = \(\frac{b h}{2}\) = \(\frac{3 divide2}{2}\) = 3
Base x Height = 3 x 3.5
= 10.5 in³
Please find the limit. Show work and explain in detail. Thank you!
sin e 37. Lim 0-0 sin 20
The expression sin(e^37) does not have a well-defined limit as x approaches 0 from the left side since the argument e^37 is not an angle and is a constant.
To find the limit of the function sin(e^37) as x approaches 0 from the left side, we need to evaluate the limit and analyze the behavior of the function near 0.
The expression sin(e^37) represents the sine of a very large number, approximately equal to 5.32048241 × 10^16. The sine function oscillates between -1 and 1 as the input increases, but it does so in a periodic manner.
As x approaches 0 from the left side (x < 0), the function sin(e^37x) will oscillate rapidly between -1 and 1. However, since the argument of the sine function (e^37) is an extremely large constant, the oscillations will occur at a much higher frequency.
To calculate the limit, we can directly evaluate the function at x = 0 from the left side.
sin(e^37 * 0) = sin(0) = 0.
Therefore, the limit of sin(e^37) as x approaches 0 from the left side is equal to 0.
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Each dot in the following dot plot represents the number of chocolate chips in one cookie in a package.
Find the interquartile range (IQR) of the data in the dot plot.
The interquartile range (IQR) for this data set is 1.5.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the interquartile range (IQR), we need to first find the first quartile (Q1) and the third quartile (Q3).
To find Q1, we need to find the median of the lower half of the data.
The lower half of the data is:
2, 3, 3, 4, 4
The median of the lower half is (3 + 4) / 2 = 3.5.
Therefore, Q1 = 3.5.
To find Q3, we need to find the median of the upper half of the data.
The upper half of the data is:
4, 4, 4, 5, 5, 6, 7
The median of the upper half is (5 + 5) / 2 = 5.
Therefore, Q3 = 5.
Now that we have Q1 and Q3, we can find the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 5 - 3.5 = 1.5
Therefore,
The interquartile range (IQR) for this data set is 1.5.
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which of the following is wrong? question 21 options: sampling rate and sound frequency have the same unit, both use hz. sample rate is a setting that can be changed in the digitization process. sound frequency is a setting that can be changed in the digitization process higher sampling rate does not necessary mean higher pitch
There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.
The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.
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In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
The population of the city grew from 2010 to 2020 by 13.37%.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
We have to given that;
In 2010, the population of a city was 237,000.
And, From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.
We know that;
Where, A = P (1+r)ⁿ
A = final population.
P = Initial population.
r = rate
n = time
Hence, The population in 2015 is, =
A = 237,000(1 + 0.076)⁵
A = 341829.629
And, The population in 2020 =
A = P (1 - r)ⁿ
A = 341829.629 (1 - 0.047)⁵
A = 268704.047
So, Percent grow = (268704.047 - 237,000) / 237,000 × 100
= 31704.047 / 237,000 × 100
= 13.37 %
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Dylan enjoys ramen noodles and music downloads. His monthly budget for these two items is 15 dollars. If the price of a package of ramen noodles is $1.48 and the price of a music download is $1.15, what is Dylan's opportunity cost of a music download? (Round your answer to the nearest tenth. For example: 1.4).
Data:
• Monthly budget: $15
,• Price of a package of ramen: $1.48
,• Price of a music download: $1.15
Procedure:
\(\frac{15}{1.48}\approx10.1\)Answer: 10.1
Red letters and blue letters are used in a game. Some of the letters are X. All the other letters are Y. X Y X Y The ratio of the number of red letters to the number of blue letters is 2:5 The ratio of the number of red Xs to the number of red Ys is 1: 3 The ratio of the number of blue Xs to the number of blue Ys is 3:1 Work out what fraction of all the letters are Xs.
17/28 of all the letters are X's.
Find an equation for the set of all points in the xy plane which are equidistance from (4,6) and (-2,5) express you answer in the general form for the equation of a line in the form ax by c=0
The equation of the set of all points equidistant from (4, 6) and (-2, 5) in the general form ax + by + c = 0 is:
-12x + 2y + 23 = 0.
To find the equation for the set of all points equidistant from (4,6) and (-2,5), we can use the distance formula. Let's denote an arbitrary point in the xy plane as (x, y).
The distance between (x, y) and (4, 6) is given by:
d1 = sqrt((x - 4)^2 + (y - 6)^2)
The distance between (x, y) and (-2, 5) is given by:
d2 = sqrt((x + 2)^2 + (y - 5)^2)
For the points equidistant from both (4, 6) and (-2, 5), we have d1 = d2.
Therefore, we can set up the equation as follows:
sqrt((x - 4)^2 + (y - 6)^2) = sqrt((x + 2)^2 + (y - 5)^2)
To simplify the equation, we can square both sides to eliminate the square roots:
(x - 4)^2 + (y - 6)^2 = (x + 2)^2 + (y - 5)^2
Expanding both sides of the equation, we get:
x^2 - 8x + 16 + y^2 - 12y + 36 = x^2 + 4x + 4 + y^2 - 10y + 25
Simplifying and rearranging terms, we obtain:
-12x + 2y + 23 = 0
Therefore, the equation of the set of all points equidistant from (4, 6) and (-2, 5) in the general form ax + by + c = 0 is:
-12x + 2y + 23 = 0.
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A sum of squares that measures the variability among the sample means is referred to as the?
A sum of squares that measures the variability among the sample means is called the total sum of squares.
According to the statement
we have to explain about in the sample means, The sum of squares that measures among the variability.
So, For this purpose, we know that the
The variation is comprised the sum of the squares of the differences of each mean with the grand mean.
And
A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
In other words, Variability, is the extent to which data points in a statistical distribution or data set from the average value.
So, for all this, A sum of squares that measures the variability among the sample means is called the total sum of squares.
Hence, A sum of squares that measures the variability among the sample means is called the total sum of squares.
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A certain pyramid has a square base measuring 738 feet on a side and a height of 510 feet.
a. What is the volume of the pyramid, in cubic yards?
b. The stones used to build the pyramid were blocks with an average volume of 1.5 cubic yards. How many of these blocks were needed to construct the great pyramid?
a. The volume of the pyramid is approximately 13,417,320 cubic yards.
To find the volume of the pyramid, we can use the formula:
V = (1/3) * B * h
where V is the volume, B is the area of the base, and h is the height.
First, let's convert the base side length and height from feet to yards:
Base side length = 738 feet = 246 yards
Height = 510 feet = 170 yards
Now we can plug in these values and calculate the volume:
V = (1/3) * (246^2) * 170
V = 13,417,320 cubic yards
Therefore, the volume of the pyramid is approximately 13,417,320 cubic yards.
b. approximately 8,944,880 blocks were needed to construct the pyramid.
To find the number of blocks needed, we can divide the volume of the pyramid by the volume of each block:
Number of blocks = Volume of pyramid / Volume of each block
Number of blocks = 13,417,320 / 1.5
Number of blocks = 8,944,880
Therefore, approximately 8,944,880 blocks were needed to construct the pyramid.
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What is the answer to x? Given the top of the triangle is 80.
factorize 3x²-11x-20