Given:
Sample size = 120
Average for the sample = 6 hours
Let's determine the following:
• (a). 6 hours:
6 hours is the average time spent on homework in a week.
Since it is the average time for the sample, we can say 6 hours is the sample mean which represents the statistics.
• (b). The average amount of time spent on homework by all students.
The average time for all students which is the total population will represent the parameter.
• (c). 120 students.
In this situation since 120 students are drawn from the population, it represents the sample size.
• (d). All students.
All students can be said to be the population from which the sample was drawn from.
ANSWER:
• (a). Statistics
,• (b). Parameter
,• (c). Sample
,• (d). Population
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
Jesse is filling spherical balloons. When full, one of these balloons has a diameter of 24\text{ cm}24 cm24, start text, space, c, m, end text. Jesse can fill a balloon at a rate of 820\text{ cm}^3820 cm
3
820, start text, space, c, m, end text, cubed per breath.
How many breaths does it take Jesse to fill a balloon?
Answer:
Step-by-step explanation:
Takes 9
Solve the system of equations:
y= 2x - 2
y= x2 - x-6
O A. (-1,-5) and (4,2)
O B. (0, -2) and (2, 2)
O C. (-1,-4) and (4, 6)
D. (-2,0) and (3,0)
Answer:
C) (-1, -4) and (4, 6)
Step-by-step explanation:
\(\textsf{Equation 1}:y=2x-2\)
\(\textsf{Equation 2}:y=x^2-x-6\)
Substitute Equation 1 into Equation 2 and solve for x:
\(\implies 2x-2=x^2-x-6\)
\(\implies x^2-3x-4=0\)
Find two numbers that multiply to -4 and sum to -3: -4 and 1
Rewrite the middle term as the sum of these two numbers:
\(\implies x^2-4x+x-4=0\)
Factorize the first two terms and the last two terms separately:
\(\implies x(x-4)+1(x-4)=0\)
Factor out the common term \((x-4)\):
\(\implies (x+1)(x-4)=0\)
\(\implies (x+1)=0 \implies x=-1\)
\(\implies (x-4)=0 \implies x=4\)
Substitute the found values of x into Equation 1 and solve for y:
\(x=-1 \implies y=2(-1)-2=-4\)
\(x=4 \implies y=2(4)-2=6\)
Therefore, the solution to the system of equations is:
(-1, -4) and (4, 6)
OMG PLEASE I NEED HELP WITH THIS SO BAD CAN SOMEONE ONE PLS TELL ME WHAT IS 5+5 ?
Answer:
its 10 bro calm down ok chill
Answer:
10
Step-by-step explanation:u have 5 and add 5 more
How many faces does the polyhedron have? _ faces How many vertices does the polyhedron have? _vertices How many edges does the polyhedron have? _edges
The polyhedron has:
6 Faces, 8 vertices and 12 edges in total.
But
3 Faces, 7 vertices and 7 edges are visible.
The polyhedron has 6 faces, 8 vertices and 12 edges.
What is Polygon?a polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.
A polyhedron is a three-dimensional solid with faces that are all flat
To count the number of faces in a polyhedron, count the number of flat polygonal faces.
The number of faces are 6 in number.
Counting the vertices of a polyhedron is generally a little easier than counting the edges.
The rectangular box above has four vertices on the top and four on the bottom, which gives a total of eight vertices in all.
The number of vertices are 8 in number.
The rectangular box above has four edges along the top, four along the bottom, and four in the middle, for a total of 12 edges in all.
Hence, the polyhedron has 6 faces, 8 vertices and 12 edges.
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suppose that x and y are substitute goods. if the price of good x increases, we can expect:
If the price of good x increases, the demand curve for good Y to shift to the right.
Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.
Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o
When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.
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Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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y=-(x+2)^2 in standard form
The standard form of a linear equation is
Ax+By=C
Rewrite the equation.
x+2=y
Move all terms containing variables to the left side of the equation.
x−y+2 =0
Subtract 2
from both sides of the equation.
x−y=−2
How to convert 1 cf to cy?
As 1 cubic yard is equal to 27 cubic feet therefore To convert 1 cf to cy we need to divide 1 by 27.
Both "CF" and "CY" are volume units, although they have distinct meanings:
"CF" stands for "cubic feet," which is a volume measurement unit used to determine how much space an object or substance takes up.
"CY" is an abbreviation for "cubic yards," a volume measurement used to measure greater quantities of material such as soil, sand, gravel, or concrete.
To convert 1 CF (cubic feet) to CY (cubic yards), you must first know that:
1 cubic yard is equal to 27 cubic feet.
Therefore to convert 1 CF to CY, just divide 1 by 27:
1 CF / 27 = 0.037 CY (rounded to three decimal places)
so, 1 cubic foot is nearly equivalent to 0.037 cubic yards.
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Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.
The values of simple interests in ascending order will give the result (Case 1 < Case 3 < Case 2).
How to calculate simple interest?To calculate simple interest we use the formula as:
\(simple \; interest= (P*R*T)/100\)
where,
Principle is represented by 'P'
Rate is represented by 'R'
Time is represented by 'T'
Now for given problem 3 cases are given as
P =$2000, R=10% , T = 3 yearsP =$2000, R=10% , T = 9 yearsP =$2000, R=3% , T = 20 yearsUsing formula of simple interest,
Case:1
\(SI=(P*R*T)/100=(2000*10*3)/100\\SI=600\)
Case:2
\(SI=(P*R*T)/100=(2000*10*9)/100\\SI=1800\)
Case:3
\(SI=(P*R*T)/100=(2000*20*3)/100\\SI=1200\)
Thus, putting values of simple interests in ascending order will give the result Case 1 < Case 3 < Case 2
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help me please help me please.
Answer:
p = 0.09375
Step-by-step explanation:
simplify the fractions within the fractions first to make it easier:
\(\frac{3}{10} = 0.3\) and \(\frac{4}{5} = 0.8\) and \(\frac{1}{4} = 0.25\)
set up the equation then cross multiply:
\(\frac{0.3}{p} =\frac{0.8}{0.25}\)
0.3 x 0.25 = p (0.8)
0.075 = 0.8p
divide both sides by 0.8:
p = 0.09375
Bailey thinks that Y=10 is a linear equation, Cole thinks it is NOT a linear equation. Which on is correct, and why?
After answering the given query, we can state that Y = 10 does not have a constant, so it cannot be a linear equation. Cole is accurate in stating that Y = 10 is not a linear solution as a result.
What is a linear equation?In mathematics, a linear equation has become one that takes the form y=mx+b. The inclination is B, and the y-intercept is m. Since y and x are variables, the preceding clause is frequently referred by the term a "linear equation involving two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When the formula has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is often referred to because of being quadratic.A mathematical equation is said to be linear if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.
When a variable (in this instance, Y), has a highest power of 1, the equation is said to be linear. The greatest power of Y is 1, and the equation Y = 10 has no additional terms or variables, so at first glance it might seem to be a linear equation.
But a variable component must also have a coefficient in a linear equation. In other words, the formula should be Y = mX plus b, where X is a variable, m and b are constants, and Y is the dependent variable.
Y = 10 does not have a constant, so it cannot be a linear equation. Cole is accurate in stating that Y = 10 is not a linear solution as a result.
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Geometry
A box contains ten $1 bills, ten $5 bills, and three $10 bills. What is the probability of selecting a $10 dollar bill or a $5 dollar bill? Please make sure you use the equation. Please express your answer as a fraction, decimal and a percent.
The probability of selecting a $10 dollar bill or a $5 dollar bill would be = 13/23
What is probability?Probability is defined as the expression that can be used to represent the possible outcome of an event which may likely occur or not.
The quantity of $1 bill = 10
The quantity of $5 bill = 10
The quantity of $10 bill = 3
The sum total of bills in the box = 23
The probability of choosing a 5 or 10 bills;
= 10+3/23
= 13/23
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suppose the proportion of students in school a diagnosed with adhd is p1 and the proportion of students in school b diagnosed with adhd is p2. state the null hypothesis for a test to determine if school a has the lower proportion of students diagnosed with adhd.
H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)
Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.
Symbolically, the null hypothesis can be stated as:
H0: p1 ≥ p2
Where:
H0: Null Hypothesis
p1: Proportion of students diagnosed with ADHD in School A
p2: Proportion of students diagnosed with ADHD in School B
In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.
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I need help with 5 pls
The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).
As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.
The equation of an ellipse where the major axis 2a is greater than the minor 2b.
When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)
Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:
\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
Moreover,
a = 4
b = 9
The equation of the such ellipse is
\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
Hence, the equation of the ellipse is
\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)
\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)
Therefore the equation of an ellipse is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).
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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
find the distance better the following points using the Pythagorean theorem
Answer:
C I believe
Step-by-step explanation:
Select all of the following tables which represent y as a function of a and are one-to-one. X 1 9 15
Y 2 12 1
X 9 9 27
Y 12 1 9 15
X 2 7 7 0 0
Y 9 Y E Y 7.
The tables which represent y as a function of a and are one-to-one are Y = 9 and Y = 7.
A function is a mathematical concept that relates each element of a set to a single output value. The input value is the value of the independent variable, while the output value is the value of the dependent variable. A function f(x) = y can be represented in a table with two columns, one for x and one for y.Each value of x corresponds to a unique value of y in a one-to-one function, i.e. no two values of x have the same output value. It means that each element of the domain corresponds to a unique element of the range. The tables Y = 9 and Y = 7 both represent one-to-one functions because each input value of a corresponds to a unique output value of y. Therefore, the correct answer is Y = 9 and Y = 7.
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Find the missing parts of each parallelogram
Answer:
x°=112°
y°= 68°
z°= 68°
Hope it's helpful ❤❤❤❤
THANK YOU.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be \(w\). It follows that the length is \(w+2\).
\(w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7\)
What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?
Answer:
3
Step-by-step explanation:
m=y2-y1/x2-x1
-3+2/8-5
-1/3
perp. = negative reciprocal
3
Market researchers were interested in the relationship between the price of bobbleheads and the demand of bobbleheads. Information was collected from a survey and used to obtain the regression equation ŷ = –0.227x + 50.455, where x represents the price of bobbleheads (measured in dollars) and ŷ is the predicted demand of bobbleheads (in units). What is the predicted demand of a bobblehead that has price of $6.00?
–1.362 units
49.093 units
51.817 units
195.837 units
Answer:
49.093
Step-by-step explanation:
Given the regression equation :
ŷ = –0.227x + 50.455
x represents the price of bobbleheads (measured in dollars)
ŷ is the predicted demand of bobbleheads (in units).
Preductwd demand ; when x = 6
ŷ = –0.227(6)+ 50.455
= 49.093
Solve pls brainlies
2) (-6)-(-17)=
3) 19-(-2)=
4) (-13)+20=
show your work for each question! Adding and subtracting Integers
Answer:
2) 11
3) 21
4) 7
Step-by-step explanation:
2) (-6) -(-17) = 17 - 6 = 11
3) 19 - (-2) = 19 + 2 = 21
4) (-13) + 20 = 20 - 13 = 7
(1 point)
5. Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
5x + 2x4 – 4
O 5x – 4 + 2x4, not a polynomial
O 2x4 + 5x – 4; fourth-degree trinomial
O 5x + 2x4 – 4; quadratic monomial
O 2x4 + 5x – 4; cubic binomial
Answer:
Option (2)
Step-by-step explanation:
Standard form of the polynomial will be in the form of (ax⁴+ bx³+ cx²+ dx + e).
Which means exponents of each successive term will be in the reducing form and the last term will be a constant term.
Now we can rearrange the terms of the given polynomial (5x + 2x⁴ - 4) for the standard form.
(2x⁴ + 5x - 4)
Since, degree of the leading term = 4
And number of terms = 3
Given polynomial is a fourth degree trinomial.
Option (2) will be the answer.
A bag contains n counters.
One counter is blue and the rest are red.
Two counters are taken from the bag.
a) Express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction in its simplest form.
a). The probability of counter of each color is
(b).There are 7 red counters are in the bag.
What is probability?Probability is a branch of mathematics that deals with the occurrence of a random event.
a. Probability of event to happen is calculated by using below formula,
P(E) = Number of favorable outcomes / Total Number of outcomes.
Total number of counters = n
Number of blue counters = 1
Number of red counters = n - 1
If, two counters are taken at random from the bag.
Then, Probability of the both counter are of different color is;
1/n × n-1/n- 1 = 1/n
b. Since, The probability that a counter of each color is taken is 0.125
1/n = 0.125
so, n = 8
Number of red counters = n - 1 = 8- 1 = 7
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Which expression is equivalent to -51 - (-60)−51−(−60)
Answer:
18
Step-by-step explanation:
Always remember negative x negative = positive
-51-(-60)-51-(-60)
-51+60-51+60
9+9
18
I don't know what are the expressions but try yourself
Believe in yourself you can do it
Determine whether the series is convergent or divergent. 3^(n+1)4^-n If it is convergent, find its sum.
Geometric series is convergent if the |r|<1 where r is the common ratio.
Let Sn=∑ni=0(−3/4)i then
Sn=(−3/4)n+1−1(−3/4)−1
Now take n→∞ then
Sn→0−1(−3/4)−1=4/7
because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is
lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.
Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.
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Yes or no question plz help
A man finds a purse with an unknow number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. It is required to find out how much money was in the purse.
The total amount of money in the purse was approximately 23 ducats. A man finds a purse with an unknown number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. To find the initial amount in the purse, let's represent it as "x".
He spent (1/4)x, (1/5)x, and (1/6)x. The sum of these fractions plus the remaining 9 ducats equals the total amount:
(1/4)x + (1/5)x + (1/6)x + 9 = x
To solve this equation, first find a common denominator for the fractions, which is 60. Rewrite the equation with the common denominator:
(15/60)x + (12/60)x + (10/60)x + 9 = x
Combine the fractions:
(37/60)x + 9 = x
Now, isolate x on one side of the equation:
9 = (23/60)x
To find x, divide both sides by (23/60):
x = 9 / (23/60)
x = 9 * (60/23)
x = 540/23
Since x represents the number of ducats, it should be a whole number. So, we round it to the nearest whole number:
x ≈ 23
Therefore, there were approximately 23 ducats in the purse initially.
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I really need help plz help me
Answer:
64
Step-by-step explanation:
This is actually really easy you just have to subtract 36 from 100
Hope this helps also please mark brainliest