Answer:
just add the terms -154+8850= 8696 m
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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what is 15x1300-1000+14=?
Answer:
18514 if im wrong then sorry but i dont think its wrong
Step-by-step explanation:
Aidan buys a bag of cookies that contains 5 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies.
What is the probability that Aidan reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Write your answer as a percent. Round to the nearest tenth of a percent.
Answer- 62%
Step-by-step explanation
5+5+8+8= 26 There are 8 peanut butter cookies,so 8/26 is the chance we will get a peanut butter cookie. In percentage form that is 0.307692308 or 30% chance that a peanut butter cookie will be selected. This also means that since there are 8 oatmeal there is a 30% percent chance for those as well.5/26 is 0.192307692, which is almost 20 percent. 30 +30 +20+20 is 100 percent. Now that we know there is a 30 percent for both peanut butter and oatmeal, we would have to have the percent of 8+8/26. 16/26 is 0.615384615. This means that the chance of picking a peanut butter then oatmeal cookie, back-to-back would be around 62%
Hope this helps good luck.
Can anyone help? Cause i dont really understand the thing.
The function represents a continuous function because it can be measured and not counted.
The domain is; x ≤ 19 gallons
The range is ; d(x) ≤ 323 miles
What is the Dependent and Independent Variable?
We are given the function that represents the distance d(x) in miles that the car can travel with x gallons of gasoline as;
d(x) = 17x
A) The Independent Variable is Number of gallons of gasoline used while the dependent variable is the distance that the car travels.
B) Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting. Continuous data includes complex numbers and varying data values measured over a particular time interval.
Thus, the situation represents a continuous function because it can be measured and not counted.
C) The domain is the set of all possible input values. You have 19 gallons and so the domain is; x ≤ 19 gallons
The range is the set of all possible output values. Thus, the range is;
d(x) ≤ (19 * 17)
d(x) ≤ 323 miles
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If you bring two pairs of shoes 10 items of regular clothes and two coats how much will your bag weigh the pair of shoes weigh 2.5 suitcase weighs five average weight per coat three
?
Can you show a picture
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
What is the distance from J to K?
Answer:
A. 13 units is the answer
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Answer:
13 Units
Step-by-step explanation:
What is the upfront cost to secure this apartment?
A) $1,876
B) $1,225
C) $2,105
D) $1,025
B: 1000 + 25 + Water deposit (50) + Phone connection (40) + Elect. connection (60)
1000 + 25 + 200 = 1225
Write and solve a proposition that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answer:
Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:
Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100
We can plug in the values we know:
80 / x = p / 100
where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.
We can solve for "x" by cross-multiplying and simplifying:
8000 = px
x = 8000 / p
Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:
(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction
This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:
p / 100 = 80 / 210
p = 38.1
So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:
80 / x = 38.1 / 100
Cross-multiplying and solving for "x", we get:
x = 209.71
Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.
Step-by-step explanation:
Answer:
The teacher surveyed a total of:
80 + 60 + 30 + 40 = 210 students.
If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.
The relative frequency of students choosing the aquarium in the sample is:
80/210 = 0.38
This means that approximately 38% of the students in the sample chose the aquarium.
To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:
0.38 x 1000 = 380
Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.
What is the real part of this complex number :
2i^28 - 3i^25
Answer:
(2*1)²⁸-(3*2*1)²⁵
=-2.843028803ₓ₁₀¹⁹
9514 1404 393
Answer:
2
Step-by-step explanation:
i^4 = 1, so powers of i^4 are 1
2i^28 = 2
-3i^25 = -3(i^24)(i) = -3i
The number simplifies to 2 -3i. The real part is 2.
When x= 3, y = 36.
When x = 10, y = 120.
What is the constant of proportionality?
He buys a jewel for $180 then sells it for $216 find his percentage profit
The difference between the selling price and the cost price is the profit he earned.
Profit = Selling Price - Cost Price
Profit = $216 - $180
Profit = $36
To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :
Percentage Profit = (Profit : Cost Price) * 100%
Percentage Profit = ($36 : $180) * 100%
Percentage Profit = 0.2 * 100%
Percentage Profit = 20%
Therefore, his percentage profit is 20%.
Find the sum. Express your answer in simplest form.
Answer:
\(\frac{10x^2+3}{y^2+4}\)
Step-by-step explanation:
When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )
So we have \(\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}\)
==> remove parenthesis and apply signs
\(\frac{x^2+5+4x^2-2}{y^2+4}\)
==> simplify numerator by combining like terms
\(\frac{10x^2+3}{y^2+4}\)
and we are done!
Note:
like terms are terms with the same variable and exponent
An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7
The like terms being combined here were (6x² and 4x²) and (5 and -2)
Answer:
\(\frac{10x^{2} +3}{y^{2}+4 }\)
Step-by-step explanation:
\(\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }\)
make the common denominator
\(\frac{6x^{2} +5+4x-2}{y^{2}+4 }\)
combone the like terms
\(\frac{10x^{2} +5-2}{y^{2}+4 }\)
subtract numbers
\(\frac{10x^{2} +3}{y^{2}+4 }\)
In the triangle shown, XY ≌ ZY and m∠Y = 38°. What is m∠Z?
A.35.5
B.38
c.71
d.142
Answer:
c. 71°
Step-by-step explanation:
You have isosceles triangle XYZ with a.pex angle Y = 38°. You want to know the measure of angle Z.
Angle sum theoremThe base angles of the triangle are X and Z, which are congruent. The sum of all angles is 180°:
X +Y +Z = 180°
2Z +38° = 180° . . . . . . substitute for X and Y
2Z = 142° . . . . . . . . . subtract 38°
Z = 71° . . . . . . . . . . divide by 2
The measure of angle Z is 71°.
Determine if ABC and FHG are similar. if so, write the similarity statement.
Given the triangles ABC and FHG
To check the similarity, find the ratio between the corresponding sides
Given AB = 72 and BC = 84 and AC = 48
And FH = 12 and HG = 14 and FG = 8
So,
The ratios will be as following:
\(\begin{gathered} \frac{FH}{AB}=\frac{12}{72}=\frac{1}{6} \\ \\ \frac{HG}{BC}=\frac{14}{84}=\frac{1}{6} \\ \\ \frac{FG}{AC}=\frac{8}{48}=\frac{1}{6} \end{gathered}\)As the ratio between the corresponding sides are equal to 1/6
So, the triangles are similar
So, the answer is option A.
According to a survey in 600 consumers of a city, 300 consumers are buying tea of own nation, 250 consumers are buying international tea and 150 consumers are buying both brands of tea. aFind the number of consumers who do not buy any brand of tea. b. Find the number of consumers who like only one brands of tea.
There are 200 consumers who do not buy any brand of tea and there are 400 consumers who like only one brand of tea.
To find the number of consumers who do not buy any brand of tea, we need to subtract the number of consumers who buy either the own nation's tea or the international tea or both from the total number of consumers.
a) Number of consumers who do not buy any brand of tea = Total number of consumers - (Number of consumers buying own nation's tea + Number of consumers buying international tea - Number of consumers buying both brands)
= 600 - (300 + 250 - 150)
= 600 - 400
= 200
Therefore, there are 200 consumers who do not buy any brand of tea.
b) To find the number of consumers who like only one brand of tea, we need to subtract the number of consumers buying both brands of tea from the sum of the number of consumers buying each brand individually.
Number of consumers who like only one brand of tea = Number of consumers buying own nation's tea + Number of consumers buying international tea - Number of consumers buying both brands
= 300 + 250 - 150
= 400
Therefore, there are 400 consumers who like only one brand of tea.
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Please help! What is the volume of the cylinder?
Answer and explanation please! <3
Answer:
3386.64\(m^{3}\) (rounded to 2 decimal places)
Step-by-step explanation:
Volume of a cylinder = π\(r^{2}\)h
= π x \(7^{2}\) x 22
= π x 49 x 22
= 3386.63688057
= 3386.64\(m^{3}\) (rounded to 2 decimal places)
sorry if this is not right and hope this helps :)
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answer:
6.44 m2
Step-by-step explanation:
Solve the equation. 10 - 6v = -104
10 - 6v = -104
-6v = -104 - 10
-6v = -114
6v = 114
v = 114/6
v = 57/3
v = 19
Change .7 to a percent. Group of answer choices
7%
.7%
.07%
70%
Answer:
70%
Step-by-step explanation:
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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The line segment AB with endpoints A (-3, 6) and B (9, 12) is dilated with a scale
factor 2/3 about the origin. Find the endpoints of the dilated line segment.
O A) (2, 4), (6,8)
B) (4, -2), (6,8)
O C) (-2, 4), (6,8)
OD) (-2, 4), (8,6)
Answer:
C) (-2, 4), (6,8) is the correct answer.
Step-by-step explanation:
Given that line segment AB:
A (-3, 6) and B (9, 12) is dilated with a scale factor 2/3 about the origin.
First of all, let us calculate the distance AB using the distance formula:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Here,
\(x_2=9\\x_1=-3\\y_2=12\\y_1=6\)
Putting all the values and finding AB:
\(AB = \sqrt{(9-(-3))^2+(12-6)^2}\\\Rightarrow AB = \sqrt{(12)^2+(6)^2}\\\Rightarrow AB = \sqrt{144+36}\\\Rightarrow AB = \sqrt{180}\\\Rightarrow AB = 6\sqrt{5}\ units\)
It is given that AB is dilated with a scale factor of \(\frac{2}{3}\).
\(x_2'=\dfrac{2}{3}\times x_2=\dfrac{2}{3}\times9=6\\x_1'=\dfrac{2}{3}\times x_1=\dfrac{2}{3}\times-3=-2\\y_2'=\dfrac{2}{3}\times y_2=\dfrac{2}{3}\times 12=8\\y_1'=\dfrac{2}{3}\times y_1=\dfrac{2}{3}\times 6=4\)
So, the new coordinates are A'(-2,4) and B'(6,8).
Verifying this by calculating the distance A'B':
\(A'B' = \sqrt{(6-(-2))^2+(8-4)^2}\\\Rightarrow A'B' = \sqrt{(8)^2+(4)^2}\\\Rightarrow A'B' = \sqrt{64+16}\\\Rightarrow A'B' = \sqrt{80}\\\Rightarrow A'B' = 4\sqrt{5}\ units = \dfrac{2}{3}\times AB\)
So, option C) (-2, 4), (6,8) is the correct answer.
Find m∠1 and m∠2. and Tell which theorem you use in each case.
The angles in the parallel lines are as follows;
m∠1 = 42 degreesm∠2 = 42 degrees.How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let's find the angles m∠1 and m∠2.
Hence,
138 + m∠1 = 180(angles on a straight line)
The sum of angles on a straight line is 180 degrees.
m∠1 = 180 - 138
m∠1 = 42 degrees
Therefore,
m∠1 = m∠2 (alternate exterior angles)
Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.
Alternate exterior angles are congruent.
Therefore,
m∠1 = m∠2 = 42 degrees.
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An important issue facing Americans is the large number of medical malpractice lawsuits and the expenses that they generate. In a study of 1228 randomly selected malpractice suits, a 99% confidence interval was constructed for the true proportion of medical malpractice lawsuits that are dropped or dismissed. The confidence interval was (0.6633, 0.7308) find the Margin of error.
Answer: I have this same exact question
Step-by-step explanation: So someone please help this person, or animal which ever you perfer
For each value of w, determine whether it is a solution to 4w+9>-19.
Is it a solution?
Answer:
1. Yes
2. Yes
3. No
4. No
Step-by-step explanation:
4(-2) +9>-19 Multiply 4 and -2
-8+9>-19 Add -8 and 9
1 > -19 1 is greater than -19
4(5) +9>-19
20+9>-19
29>-19 29 is greater than -19
4(-10) +9>-19
-40+8>-19
-32>-19 -32 is not greater than -19
4(-7) +9>-19
-28+9>-19
-19>-19 -19 is not greater than -19
5. 7 is 1/4 of which number?
Answer:
22.8
Step-by-step explanation:
5.7 multiplied by 4 is 22.8 as 5.7 is 1/4 or 22.8
2,414(goal) each person pays 34 how many people need to come to reach that goal
The required number of people that contribute 34 pays in the goal of 2414 is 71.
What is arithmetic?According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.
Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71
Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.
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Find cos 20 if theta is in the first
quadrant and tan 0 = 40/9
If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric equation is given below.
tan θ = 40/9
tan θ = 4.444
Then the angle θ will be
θ = tan⁻¹(4.444)
θ = 77.32°
Then the value of cos 2θ will be
cos 2θ = cos (2 x 77.32°)
cos 2θ = cos 154.64°
cos 2θ = - 0.9036
cos 2θ ≅ - 0.90
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write the slope intercept form of the equation (3,-4) and (-2,-4)
We know that a line is defined by two points. In this case, we need to find the line equation in the following form:
\(y=mx+b\)We need to find the slope, m, and the y-intercept, b. To achieve this, we can use the two-point form of the line:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)Now, we need to label those two points as follows:
• (3, -4) ---> x1 = 3, y1 = -4.
,• (-2, -4) ---> x2 = -2, y2 = -4.
And we can substitute those values into the two-point form of the line:
\(y-(-4)=\frac{-4-(-4)}{-2-3}(x-3)\)Solving the given operations:
\(y+4=\frac{-4+4}{-5}(x-3)\Rightarrow y+4=\frac{0}{-5}(x-3)\Rightarrow y+4=0\cdot(x-3)\)Then
\(y+4=0\Rightarrow y=-4\)If we need to write the equation in the slope-intercept form, we have that m = 0, and b = -4, then, the equation will be:
\(y=0x+(-4)\Rightarrow y=0x-4\)In summary, the slope-intercept form of the equation is equal to y = 0x - 4:
\(y=0x-4\)[We can notice that the line is parallel to the x-axis since the slope of the line is equal to 0, m = 0. The y-intercept (the point where the line passes through the y-axis) is equal to b = -4.]
A graph of the line is as follows:
Answer:
y = x + (-4)
Explanation:
slope intercept form=y=mx +b
slope of (3,-4) and (-2,-4) is 0
so the answer is y = x + (-4)
Find the measure of the complement of a 66° angle.
The measure of the complement of a 66° angle is.
(Simplify your answer. Type an integer or a decimal.)
Please help. Btw it’s only one number
Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:
66°+x° = 90°
Subtract 66° from both sides:
x° = 24°