Books read by different students : 5,7,8,10,12,13,29
Answer:
What are you asking for the mean?
Step-by-step explanation:
Someone help me at h.w
Answer:
12. impact
13. environment
14. unique
15, destination
16. provide
17. designed
19. local
20. conservation
Step-by-ste1p explanation:
ur welcome
Han and Priya were making a kite. Han cut out a piece of fabric so
that there were 2 short sides of the same length on top and
2 long sides of the same length on the bottom. Priya cut 2 pieces
of wood to go across the diagonals of the kite. They attached the
wood like this:
Han asked Priya to measure the angle to make sure the pieces of
wood were perpendicular. Priya said, "If we were careful about
the lengths of the sides of the fabric, we don't need to measure
the angle. It has to be a right angle."
Complete Priya's explanation to Han.
A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.
Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.
A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.
The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.
Visit: https://brainly.com/question/21979359
The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Since Priya said to Han that "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."
Priya used the properties of a kite.
Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.
So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.
So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Learn more about kites here:
https://brainly.com/question/2279713
The price of a flight was increased by 3% to £720. What was the price before the increase?
Answer:
698.4
Step-by-step explanation:
bec we will do 720-3% which is going to give us the number exactly simple right ?
(2 points) an implicit equation for the plane through (3,−2,2)(3,−2,2) normal to the vector ⟨4,1,−5⟩⟨4,1,−5⟩ is
The implicit equation for the plane through (3,-2,2) normal to the vector ⟨4,1,-5⟩ is: 4(x - 3) + 1(y + 2) - 5(z - 2) = 0.
To find the implicit equation for the plane, we need the normal vector and a point on the plane. The given normal vector is ⟨4,1,-5⟩, which represents the coefficients of x, y, and z respectively. A point on the plane is (3,-2,2). Using the point-normal form of the equation, we substitute the values into the equation: 4(x - 3) + 1(y + 2) - 5(z - 2) = 0. Simplifying the equation gives us the implicit equation for the plane through the given point and normal vector.
To learn more about equation click here
brainly.com/question/29538993
#SPJ11
in a random sample of 38 restaurants it was found that the mean number of employees was 12.6 with a standard deviation of 2.4 employees. find the critical value used to test the claim that the mean number of restaurant employees is less than 15 at the 1% significance level.
Critical value used to test the claim that the mean number of restaurant employees is less than 15 at the 1% significance level is - 2.431
What is standard Deviation ?The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The variation from the mean of each data point is used to determine the standard deviation, which is equal to the square root of variance.
What is mean ?It is basically the average of the given numbers.
The given data is
Sample Size = n = 38
Sample mean = X = 12.6
Sample Standard deviation = S = 2.4
= n - 1 = 38 - 1 = 37
μ₀ = μ ≥ 15
μ₁ = μ < 15 ( left tailed )
d = 0.01
Hence, Critical value = - 2,431
To learn more about Statistics, Visit :
https://brainly.com/question/29342780
#SPJ4
The points D, E, F and G all lie on the same line segment, in that order, such that the ratio of DE:EF:FGDE:EF:FG is equal to 4:2:1.4:2:1. If DG=14,DG=14, find EG.EG.
Applying ratios, the length of segment EG is: 6.
How to Apply Ratios to Solve Problems?Since the ratio of DE:EF:FG is 4:2:1, we know that DE =4x, EF = 2x, and FG = x, where x is some value. We also know that DG = DE+EF+FG, so we can set up the equation:
14 = 4x + 2x + x
Simplifying, we get:
14 = 7x
Dividing both sides by 7, we find that x = 2.
So, DE = 4x = 4(2) = 8, EF = 2x = 2(2) = 4, and FG = x = 2.
EG = EF + FG = 4 + 2 = 6.
Learn more about ratios on:
https://brainly.com/question/13513438
#SPJ1
Which interval for the graphed function contains the
local maximum?
Of3, -2]
0 (-2, 0]
O [0, 2]
O [2, 4]
Answer:
[ 0, 2 ] is the interval for the graphed function that contains the local maximum. Hence, the answer is [ 0, 2 ] is the answer.
Step-by-step explanation:
Please help me with this math problem!! Will give brainliest!! :)
Answer:
\(m(x)=\begin{cases}-\dfrac{1}{3}(x+4)^2+3&\text{ for }x \le-1\\4\left(\dfrac{1}{2}\right)^x&\text{ for }-1 < x < 3\\-x+5&\text{ for }3\le x\end{cases}\)
Step-by-step explanation:
The domain is the set of x-values for which the function is applicable. The pieces of a piecewise-defined function are each defined on their own domain. Here, there are three different functions, each defined on a different domain.
From left to right, the function's domain can be divided into the sections ...
x ≤ -1-1 < x < 33 ≤ xx ≤ -1This section of the graph looks like a parabola that opens downward. Its vertex is (-4, 3), and it seems to have a scale factor less than 1.
For some scale factor 'a', the function in vertex form is ...
y = a(x -h)² +k . . . . . . quadratic with vertex (h, k)
y = a(x +4)² +3
We know the point (x, y) = (-1, 0) is on the curve, so we can use these values to find 'a':
0 = a(-1 +4)² +3 = 9a +3
a = -3/9 = -1/3
So, the left-section function is ...
m(x) = -1/3(x +4)² +3
__
-1 < x < 3The middle section of the graph has increasing slope, so might be a parabola or an exponential function. We note the average rate of change goes from -4 in the interval (-1, 0) to -2 in the interval (0, 1) to -1 in the interval (1, 2). The slope changing by a constant factor (1/2) in each unit interval is characteristic of an exponential function. That factor is the base of the exponent.
The actual values on the curve also decrease by a factor of 1/2 in each unit interval, which tells us the function has not been translated vertically. The y-intercept value of 4 at x=0 tells us the multiplier of the function:
m(x) = 4(1/2)^x
__
3 ≤ xThe funciton in this domain is a straight line. It has a "rise" of -1 unit for each "run" of 1 unit, so its slope is -1. If we extend the line left to the y-axis, we see that it has a y-intercept of 5. Its equation is ...
m(x) = -x +5
__
Putting the pieces together into one function description, we have ...
\(m(x)=\begin{cases}-\dfrac{1}{3}(x+4)^2+3&\text{ for }x \le-1\\4\left(\dfrac{1}{2}\right)^x&\text{ for }-1 < x < 3\\-x+5&\text{ for }3\le x\end{cases}\)
_____
Additional comment
If the function in the middle section were quadratic, its average rate of change on adjacent equal intervals would form an arithmetic sequence. Because the sequence is geometric, we know it is an exponential function.
ALGEBRA 2
9) Solve using elimination.
3a = -5b-2
10b=1-6a
Answer:
No solution.
Step-by-step explanation:
Solving using elimination method:
3a = - 5b - 2
3a + 5b = -2 ------------------(I)
10b = 1 - 6a
6a + 10b = 1 --------------------(II)
\(\sf \dfrac{a_1}{a_2}= \dfrac{3}{6}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{5}{10}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2} = \dfrac{-2}{1}\)
\(\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}\)
So, this system of linear equations are two parallel lines and has no solution.
c−7.6=−4
Help asp
Pleaseeeee
Answer:
c = 3.6
Step-by-step explanation:
18:10 is equivalent to :5
Answer:
18:10 is equivalent to 9:5
Step-by-step explanation:
half of 18 is 9 and half of 10 is 5
Answer:
9:5
Step-by-step explanation:
18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.
Simplify the expression
(5+4n)(2)
Answer:
8n+10
Step-by-step explanation:
Answer:
10+8n
Step-by-step explanation:
Distribute the 2 to everything in the parenthesis
the inverse operation of squaring a number is finding the
Answer:
is finding the square root
The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.
When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.
The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.
The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.
For example, if you have the number 25 and you want to find its square root, you calculate:
√25 = 5
5 is the square root of 25 because when you square 5 (5^2), you get 25.
The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.
To know more about Inverse, visit
brainly.com/question/3831584
#SPj11
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by σ=29 lb.
(a) If 1 woman is randomly selected, find the probabity that her weight is between 108 lb and 175 lb
(b) If 4 women are randomly selected, find the probability that they have a mean weight between 108 lb and 175 lb
(c) If 89 women are randomly selected, find the probability that they have a mean weight between 108 lb and 175 lb
The probabilities are as follows:
(a) Probability for 1 woman's weight between 108 lb and 175 lb: P(108 lb ≤ X ≤ 175 lb) = P(Z1 ≤ Z ≤ Z2)
(b) Probability for 4 women's mean weight between 108 lb and 175 lb: P(108 lb ≤ X_bar ≤ 175 lb) = P(Z1' ≤ Z ≤ Z2')
(c) Probability for 89 women's mean weight between 108 lb and 175 lb: P(108 lb ≤ X_bar ≤ 175 lb) = P(Z1'' ≤ Z ≤ Z2'')
Let's analyze each section separately:
(a) Probability for 1 woman's weight between 108 lb and 175 lb:
To find the probability that a randomly selected woman's weight falls within the range of 108 lb to 175 lb, we need to standardize the values using the Z-score formula. The Z-score (Z) is calculated as (X - μ) / σ, where X is the weight value, μ is the mean, and σ is the standard deviation.
For the lower bound of 108 lb:
Z1 = (108 - 143) / 29 = -35 / 29 ≈ -1.2069
For the upper bound of 175 lb:
Z2 = (175 - 143) / 29 = 32 / 29 ≈ 1.1034
Using a Z-table or a calculator, we can find the corresponding probabilities associated with Z1 and Z2.
The probability of a woman's weight being between 108 lb and 175 lb is given by:
P(108 lb ≤ X ≤ 175 lb) = P(Z1 ≤ Z ≤ Z2)
Using the Z-table or a calculator, we can find these probabilities and calculate the difference between them.
(b) Probability for 4 women's mean weight between 108 lb and 175 lb:
To find the probability that the mean weight of 4 randomly selected women falls within the range of 108 lb to 175 lb, we need to consider the distribution of sample means. The mean of the sample means (μ') will still be the same as the population mean (μ), but the standard deviation of the sample means (σ') is calculated as σ / √n, where n is the sample size.
For n = 4, σ' = 29 / √4 = 29 / 2 = 14.5 lb.
We can then calculate the Z-scores for the lower and upper bounds using the formula mentioned earlier. Let's denote the Z-scores as Z1' and Z2'.
For the lower bound of 108 lb:
Z1' = (108 - 143) / 14.5 ≈ -2.4138
For the upper bound of 175 lb:
Z2' = (175 - 143) / 14.5 ≈ 2.2069
Using a Z-table or a calculator, we can find the probabilities associated with Z1' and Z2', which represent the probability of the mean weight falling between 108 lb and 175 lb.
(c) Probability for 89 women's mean weight between 108 lb and 175 lb:
Following the same approach as in (b), we can calculate the standard deviation of the sample means for a sample size of 89:
For n = 89, σ' = 29 / √89 ≈ 3.0755 lb.
We can then calculate the Z-scores for the lower and upper bounds using the formula mentioned earlier. Let's denote the Z-scores as Z1'' and Z2''.
For the lower bound of 108 lb:
Z1'' = (108 - 143) / 3.0755 ≈ -11.3405
For the upper bound of 175 lb:
Z2'' = (175 - 143) / 3.0755 ≈ 10.3904
Using a Z-table or a calculator, we can find the probabilities associated with Z1'' and Z2'', which represent the probability of the mean weight falling between 108 lb and 175 lb for a sample of 89 women.
To know more about normal distribution, refer here:
https://brainly.com/question/32682488#
#SPJ11
In the model: \[ \begin{array}{l} v_{1}^{*}=g \cdot t+\epsilon_{t}^{y} \\ r_{1}=r_{1}-\pi_{t}^{e} \\ v_{1}=v_{i}^{*}-\beta\left(r_{t}-r^{*}\right)-\omega e_{i}+\epsilon_{t}^{d} \\ \pi_{t}=\pi_{i}^{e}+
The Keynesian model is an economic theory that advocates for government intervention through fiscal policy to stabilize the economy and promote aggregate demand and employment.
Given model is,
\($v_{1}^{*}=g \cdot t+\epsilon_{t}^{y}\\r_{1}=r_{1}-\pi_{t}^{e}\\v_{1}=v_{i}^{*}-\beta\left(r_{t}-r^{*}\right)-\omega e_{i}+\epsilon_{t}^{d}\\\pi_{t}=\pi_{i}^{e}+\gamma\left(\pi_{t-1}-\pi_{i}^{e}\right)+\epsilon_{t}^{p}$\)
The explanation of the terms present in the model are:1. $v_{1}^{*}$ is the natural level of output.
2. \($\epsilon_{t}^{y}$\) is the unexpected shock to output.
3.\($r_{1}$\) is the nominal interest rate.
4. \(\pi_{t}^{e}\) is the expected inflation rate.
5. \($v_{1}$\) is the actual level of output.
6. \($v_{i}^{*}$\) is the natural level of output in the previous period.
7.\($\beta$\) is the responsiveness of the output to the difference between the actual and expected real interest rates.
8. \($r_{t}$\) is the real interest rate.
9. \($r^{*}$\) is the natural interest rate.
10. \($\omega e_{i}$\) is the unexpected shock to the output.
11. \($\epsilon_{t}^{d}$\) is the unexpected shock to the nominal interest rate.
12. \($\pi_{t}$\) is the inflation rate.
13. \($\gamma$\) is the speed of adjustment of the inflation rate to the expected inflation rate.
14. \($\pi_{i}^{e}$\) is the expected inflation rate in the previous period.
15. \($\epsilon_{t}^{p}$\) is the unexpected shock to the inflation rate.
The model is a new Keynesian model.
To know more about Keynesian model visit:
https://brainly.com/question/32242068
#SPJ11
Evaluate the expression below when x = 6 and y = 2. 6 x 2/y 3
Answer:
27
Step-by-step explanation:
To evaluate an expression we need to find the numerical value of the expression by substituting appropriate values for the variables and performing the indicated mathematical operations.
Given rational expression:
\(\dfrac{6x^2}{y^3}\)
To evaluate the given expression when x = 6 and y = 2, substitute x = 6 and y = 2 into the expression and solve.
\(\dfrac{6(6)^2}{(2)^3}\)
Following the order of operations, begin by evaluating the exponents first.
To square a number, we multiply it by itself.
\(\implies 6^2 = 6 \times 6 = 36\)
To cube a number, we multiply it by itself twice.
\(\implies 2^3 = 2 \times 2 \times 2 = 8\)
Therefore:
\(\dfrac{6(6)^2}{(2)^3}=\dfrac{6 \cdot 36}{8}\)
Multiply the numbers in the numerator:
\(\dfrac{216}{8}\)
Finally, divide 218 by 8:
\(\dfrac{216}{8}=27\)
Therefore, the evaluation of the given expression when x = 6 and y = 2 is 27.
\(\hrulefill\)
As one calculation:
\(\begin{aligned}x=6, y=2 \implies \dfrac{6x^2}{y^3}&=\dfrac{6(6)^2}{(2)^3}\\\\&=\dfrac{6 \cdot 36}{8}\\\\&=\dfrac{216}{8}\\\\&=27\end{aligned}\)
A rectangle has the following vertices: A(-1, 9), B(0, 9), C(0, -8), D(-1, -8). What is the area of rectangle ABCD?
The area of the rectangle is 17 square units.
How to find the area of the rectangle?The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.
Here we know that the vertices are:
A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)
We can define the length as the side AB, which has a lenght:
L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.
And the width as BC, which has a length:
L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.
Then the area is:
A = (1 unit)*(17 units) = 17 square units.
Learn more about area at
https://brainly.com/question/24487155
#SPJ1
A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35
The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.
Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.
The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.
Know more about earliest start time here:
https://brainly.com/question/31043653
#SPJ11
If (x + y)^2 = 45 and xy = 10, what is (x - y)^2?
Answer:
\(\binom{x = \sqrt{5}, y = 2\sqrt{5}}{x = -\sqrt{5}, y = -2\sqrt{5}}\)
Step-by-step explanation:
Hope this helped!
A fundraising organization will donate $250 plus half of the money it raises from a charity event.
What is the independent Variable?
What is the dependent Variable?
What is the domain?
What is the range?
Answer:
Independent Variable, Domain = Charity amount
Dependent Variable, Range = Donation amount
Step-by-step explanation:
Independent Variable is the causal variable. Dependent variable is the resultant or effected variable.
In this case, organisation donates money, a constant value (250) & a proportion (half) of charity. So, independent variable (causal) is charity, effecting the dependent variable ie donation.
Equation : Let donation = d, charity = c. Given : d = f (c) , where d = 250 + c/2
Domain is set of of all values for which a function is defined, range is the set of all values that f takes. So, domain is independent variable - charity & range is dependent variable - donation.
Rational zeros of polynomial function
Help!
Zeros of the given polynomial are -2, 2, -3/2, 3/2
What are zeroes of a polynomial?Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.
Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)
1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0
4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0
(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0
(x+2)(x-2)(2x+3)(2x-3) = 0
x = -2, 2, -3/2, 3/2
Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2
For more references on zeroes, click;
https://brainly.com/question/10702726
#SPJ1
Solve
493 km 43 m + 17 km 57 m
What is this answer
Answer:
510.1
Step-by-step explanation:
convert m to km by dividing by 1000 and add all of the numbers together
if the perimeter of a rectangle is 26cm and it's breadth is 4cm it's length is now going to be what
The perimeter of the rectangle is given as;
\(P=26\operatorname{cm}\)the breadth is also given as;
\(b\text{ = 4cm}\)Recall that the formula for the perimeter of a restangle is;
\(P=\text{ 2(l+b) = 2l + 2b}\)where,
l is the length and b is the breadth
So, let us substitute the values of P and b into the formula;
\(\begin{gathered} P=2l+2b \\ 26=2l+2(4) \\ 26=2l+8 \end{gathered}\)Now, let us solve for l;
\(\begin{gathered} 26=2l+8 \\ \text{subtract 8 from both sides.} \\ 26-8=2l+8-8 \\ 18=2l \\ \text{divide both side by 2;} \\ \frac{2l}{2}=\frac{18}{2} \\ l=9\text{ cm} \end{gathered}\)Therefore the length of the of the rectangle is 9cm
create a video explaning the solution of this problem.
help me create a script and the answer for the problem thank you!
The grounded ends of the guy wires are 15 meters apart.
How to calculate tie valueUsing the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).
Let's denote the length of the base as 'x.'
According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.
Applying the Pythagorean theorem:
x² + 20² = 25²
x² + 400 = 625
x² = 225
x = √225
x = 15
Therefore, the grounded ends of the guy wires are 15 meters apart.
Learn more about Pythagorean theorem on
https://brainly.com/question/343682
#SPJ1
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
Its the bottom one x>5
Step-by-step explanation:
(1+i)(3-5i) equals what
Answer:
8-2i
Step-by-step explanation:
Juan's monthly income is $3,600. Find his
savings when his expenditure is
(b) $3,400,
(a) $2,500,
(c) $x.
(b) The monthly savings of Juan is $200.
(a) The monthly saving of Juan is $900.
(c) The monthly saving of Juan is $3,600.
As we know that
Savings = Income - expenses
So based on the above formula, the monthly savings in each case is as follows:
(b)
Monthly saving is
= $3,600 - $3,400
= $200
(a)
Monthly saving is
= $3,600 - $2,500
= $900
(c)
Monthly saving is
= $3,600 - $0
= $3,600
Here we assume the x be zero.
Therefore we can conclude that
(b) The monthly savings of Juan is $200.
(a) The monthly saving of Juan is $900.
(c) The monthly saving of Juan is $3,600.
Learn more: brainly.com/question/18051939
2.5g + 3.14g + 6g + 12.32g
Answer:
23.96g
Step-by-step explanation:
Make sure to thank me!!!
Find the absolute value of the complex number. i-5
Answer:
0
Step-by-step explanation: