Answer:
You're just subtracting the (x,y) for the blue to the (x,y) for the red.
Step-by-step explanation:
Determine the approximate angle of sunrise and sunset for February 3 for WPU, NJ, approximate latitude: 40 degrees north. (Use the closest equinox date for calculation).
a) 90 degrees sunrise, 270 degrees sunset
b) 102 degrees sunrise, 258 degrees sunset
c) 78 degrees sunrise, 282 degrees sunset
d) 66.5 degrees sunrise, 293.5 degrees sunset
e) 113.5 degrees sunrise, 246.5 degrees sunset
The approximate angle of sunrise for February 3 at WPU, NJ, with an approximate latitude of 40 degrees north, would be around 66.5 degrees, and the approximate angle of sunset would be around 293.5 degrees.
To determine the approximate angle of sunrise and sunset for a specific location and date, we can use the knowledge that on the equinox, the sunrise and sunset angles are at their extremes. The equinox occurs around March 21 and September 21. Since we are looking for February 3, which is closer to the March equinox, we can use the values for the March equinox.
On the equinox, the sunrise and sunset angles are approximately 66.5 degrees and 293.5 degrees, respectively. These values correspond to the direction measured clockwise from due north.
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Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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Slope = -1/5, y-Intercept = -1/4
Answer:
\(\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}\)
Step-by-step explanation:
Slope y-intercept form of equation: y =mx +bHere, m is the slope and b is the y-intercept.
Substitute the values of m and b in the above equation.
\(\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}\)
Slope y-intercept form:
\(\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}\)
a rectangle is 8 km longer than it is wide. find the dimensions of the rectangle if its area is 345 sq-km.
The length of the rectangle is 23 km and the width of the rectangle is 15 km.
A rectangle is 8 km longer than it is wide.
Its area is 345 sq-km.
Let the width of the rectangle is x.
The length is 8 km longer than the width.
So the width of the rectangle is x + 8 km.
The formula of the area of rectangle is:
A = length × width
We know A = 345 sq-km.
Now putting the value
x × (x + 8) = 345
Now simplifying
x^2 + 8x = 345
Subtract 345 on both side, we get
x^2 + 8x - 345 = 0
Now factor the equation
x^2 + (23 - 15)x - 345 = 0
x^2 + 23x - 15x - 345 = 0
x(x + 23) - 15(x + 23) = 0
(x - 15)(x + 23) = 0
Now equation the factor equal to zero.
x - 15 = 0 or x + 23 = 0
x = 15 or x = -23
Since the dimension of the rectangle can't be negative. So
The width of the rectangle is 15 km.
Now we determine the value of length
x + 8 = 15 + 8 = 23
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what’s the volume of this rectangular pyramid
Answer:
135
Step-by-step explanation:
l x w x h
Question is in the picture
Answer:
(6, 7)
Step-by-step explanation:
Answer:
6, 7
Step-by-step explanation:
Billy Joel is King
I need some chocolate milk
Otters are great
I enjoy jumping off buildings
Bang your Head
The difference in means is about ____ times the mean absolute deviations
Answer:
A little more than 3 times
Step-by-step explanation:
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
The Venn diagram shows people go to work
Answer:
If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither
Step-by-step explanation:
Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none
two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.which functions could be the result of the combinations? select two options.16x – 1217x – 1272x2 – 96x72x2
The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:
To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.
To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes
(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)
= 6x^2 - 15x + 8x - 20
= 6x^2 - 7x - 20.
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helppp pleaseee enough points quick
Answer:
Step-by-step explanation:
same thing cant see
Help please! I really need it now the question is in the screen shot!
Answer:
A would be the answer
Step-by-step explanation:
8 is the x coordinate and 6 is the Y coordinate
Answer:
The answer is A
Step-by-step explanation:
The point is exactly on 8 and 6, x comes first
set up the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.y=x2/3+3,y=3,x=6
About the line y=16.
\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.
A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.
This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").
As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.
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The 8th grade students at Great Lakes Middle School hold a bake sale to raise money for a class field trip at the end of the year. They charge the same price for each item that they sell. After selling 10 items, they have $60.00 in their cash box. After selling 25 items, they have $82.50 in their cash box.
What is the price of each item at the bake sale?
The question is an illustration of slopes or rate of change.
The price of each item at the bake sale is $1.50
Let:
x represents the number of itemsy represents the amount in the cash boxSo, we have:
\((x_1,y_1) = (10,60.00)\)
\((x_2,y_2) = (25,82.50)\)
The slope represents the price of each item, and it is calculated using:
\(m = \frac{y_2 - y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{82.50 - 60.00}{25 - 10}\)
\(m = \frac{22.50}{15}\)
\(m = 1.50\)
Hence, the price of each item at the bake sale is $1.50
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Consider what you know about the sampling distribution of the sample proportion. This sampling distribution will?
a. become more variable as the sample size increases.
b. will be Normal in shape only if the sample size is at least 100.
c. will have a center equal to the population proportion, or p
d. has a shape that is skewed to the right, regardless of sample size.
e. is a collection of the parameters of all possible samples of a particular size taken from a particular population
Option C is the correct option.
The sampling distribution of proportion have center equal to population proportion.
As per the details share in the above question are as follow,
The details are as follow,
Only if: Is the proportion sampling distribution regularly distributed.
\(\mathrm{np} > 5 \text { and } \mathrm{n}(1-\mathrm{p}) > 5\)
The survey proportion's anticipated value is \(\mathrm{E}(\hat{\mathrm{p}})=\mathrm{p}\).
As a result, the center of the proportional sampling distribution is equal to the population percentage.
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The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False
The probability of a Type II error is represented by beta. Thus, the correct answer is option B.
Beta represents the probability of failing to reject the null hypothesis when it is false.
On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.
The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.
The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.
Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.
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Factor f(x) = 4x³ + 15x²-121x + 120 into linear factors given that -8 is a zero of f(x).
f(x) = 4x³ + 15x²-121x+120=
(Factor completely.)
The linear factors of f(x) are: f(x) = (x+8)(4x-7)(x+17/8)
Linear FactorsIf -8 is a zero of the polynomial f(x), then (x+8) is a factor of f(x) by the Factor Theorem. We can use polynomial long division or synthetic division to find the other factor(s).
Using synthetic division:
-8 | 4 15 -121 120
|_____-32____ 1280__
4 -17 -193 1500
The result of synthetic division shows that the quotient is 4x^2 - 17x - 193, and the remainder is 1500. This means that:
f(x) = (x+8)(4x^2 - 17x - 193)
We can now factor the quadratic factor by using the quadratic formula or factoring by grouping:
4x^2 - 17x - 193 = 0
x = [17 ± sqrt(17^2 - 4(4)(-193))]/(2(4))
x = [17 ± sqrt(6569)]/8
x = [17 ± 81]/8
x = 14/8 or x = -17/8
The solutions are x = 7/4 and x = -17/8.
Therefore, the linear factors of f(x) are:
f(x) = (x+8)(4x-7)(x+17/8)
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Find the coordinates of the missing endpoint if E is the midpoint of DF F(5,8), E(4,3) D=
Answer:
The coordinates of D is;
\((3,-2)\)Explanation:
The question can be illustrated diagramatically as;
The drawing is not to scale. it is just a way of explainuing the scenario.
To find the coordinates of the end point D(x,y).
Let us apply the mid point formula;
\(\begin{gathered} \bar{x}=\frac{x_1+x_2}{2} \\ x_1=\bar{2x}-x_2 \end{gathered}\)The same applys to y coordinates.
Given;
\(\begin{gathered} E(4,3)=(\bar{x},\bar{y}) \\ F(5,8)=(x_2,y_2) \\ D=(x_1,y_1) \end{gathered}\)Substituting we have;
\(\begin{gathered} x_1=\bar{2x}-x_2 \\ x_1=2(4)-5_{} \\ x_1=8-5 \\ x_1=3 \end{gathered}\)Also,
\(\begin{gathered} y_1=\bar{2y}-y_2 \\ y_1=2(3)-8 \\ y_1=6-8 \\ y_1=-2 \end{gathered}\)Therefore, the coordinates of D is;
\((3,-2)\)Twice a certain number is tripled .
The resulting number is
Answer: 6x
Step-by-step explanation:
so consider x as the number,
twice of x= 2x
2x tripled= 2x*3
= (2*3)x
= 6x
The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.
Answer:
3125 cm
Step-by-step explanation:
The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.
We are given the scale of
1: 5000
This means
1 km = 5000 cm
Hence:
1 km = 5000cm
0.625 km = x cm
Cross Multiply
x cm = 0.625 × 5000 cm
x cm = 3125 cm
Therefore, the length in centimetres between the two villages is 3125cm
-6x+18< 2-4x Respuesta porfaa
Answer:
x > 8
Step-by-step explanation:
-6x + 18 < 2 - 4x
-2x + 18 < 2
-2x < -16
x > 8
an experiment consists of tossing a fair die until a 6 occurs four times. what is the probability that the process ends after exactly stack exchange
The experiment will end after 4th time.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .hence, after 4th trial experiment will stop.
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Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)
The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
How to determine the function?For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:
(h,k) = (0,y)
A quadratic function is represented as:
f(x) = (x - h)^2 + k
So, we have:
f(x) = (x - 0)^2 + k
Evaluate
f(x) = x^2 + k
From the list of options, we have:
f(x) = (x - 2)(x + 2)
Expand
f(x) = x^2 - 4
Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
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. Rewrite the expression by using the Distributive Property: 8(5x - 4) *
Answer:
40x-32
Step-by-step explanation:
First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32
Hi! I am confused about this question…. Can someone explain it to me please?
30 points
Answer:
20 tins
Step-by-step explanation:
Since EACH dog eats 3/5 of a tin each day, that means that 3/5 + 3/5 or 6/5 of a tin is eaten everyday. Now that we know the daily amount, multiply it by 16 to find the number of tins for 16 days:
16* 6/5 = 19.2. Since we have to find the number of least entire tins, we round up to 20 tins.
Can someone please help I don’t understand
Answer:201,06
Step-by-step explanation: the formula for the A in the circle is A= r*r*pi
r=8
pi=3,14
A=8*8*3,14=201,06
Begin on the number line at 1. First move right 12 units and then move left 16 units, what is the result?
When we move to the right, we need to add the number. When we move to the left we have to subtract. So we have:
\(\text{ First Move =}1+12=13\)Then the second move:
\(\text{Second move}=13-16=-3\)The result is -3.
Create a rational function, g(x) that has the following properties, Use derivatives first to create the function by utilizing the given min and max.
i) V.A.: None
ii) O.B.: None
iii) H.A.: y = 0
iv) Hole: (-4, −3/19)
v) local min.: (-3, -1/6)
vi) local max.: (1, 1/2)
vii) x-int.: -1
viii) y-int.: 1/3
ix) Degree of polynomial in numerator or denominator: 0 ≤ degree ≤ 3
Our final rational function becomes: g(x) =\([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)
To create a rational function g(x) that satisfies the given properties, we can start by considering the horizontal asymptote and the hole.
Given that the horizontal asymptote is y = 0, we know that the degree of the polynomial in the numerator is less than or equal to the degree of the polynomial in the denominator.
Considering the hole at (-4, -3/19), we can introduce a factor of (x + 4) in both the numerator and denominator to cancel out the common factor. This will create a hole at x = -4.
So far, we have:
g(x) = [(x + 4)(ax + b)] / [(x + 4)(cx + d)]
Next, let's consider the local minimum at (-3, -1/6) and the local maximum at (1, 1/2).
To ensure a local minimum at x = -3, we can make the factor (x + 3) squared in the denominator, so that it does not cancel out with the numerator. We can also choose a positive coefficient for the factor in the numerator to create a downward-facing parabola.
To ensure a local maximum at x = 1, we can make the factor (x - 1) squared in the denominator, and again choose a positive coefficient for the factor in the numerator.
Adding these factors, we have:
g(x) =\([(x + 4)(ax + b)(x + 3)^2] / [(x + 4)(cx + d)(x - 1)^2]\)
Finally, we consider the x-intercept at x = -1 and the y-intercept at y = 1/3.
To achieve an x-intercept at x = -1, we can set the factor (x + 1) in the numerator.
To achieve a y-intercept at y = 1/3, we set the numerator constant to 1/3.
Multiplying these factors, our final rational function becomes:
g(x) = \([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)
Where a, b, c, and d are coefficients that can be determined by solving a system of equations using the given properties.
Please note that without additional information or constraints, there are multiple possible rational functions that can satisfy these properties. The function provided above is one possible solution that meets the given conditions.
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helpppp me pls and i’ll give brainliest
Answer:
measure of angle B = 30°.
In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.
AB = 10√33√3 = 10√11√3√3 = 30√11
BC = 2(10√3) = 20√3
I put $450 in my
savings account. If the
interest rate is 4.5%, how
much money will be in my
account in 3 years?
Answer:
60.75
Step-by-step explanation:
It would be I=(450)(0.045)(3).
450x0.045 is 20.25, and 20.25x3 is 60.75.
Hope this helps!