Answer:
l = 2w - 3
2(2w - 3) + 2w = 27
4w - 6 + 2w = 27
6w - 6 = 27
6w = 33, so w = 5.5 feet and l = 8 feet
Answer:
Width: 5.5 feet
Length: 8 feet
Step-by-step explanation:
Let's begin by assigning variables to stand in for the rectangle's width and length.
Let x represent the rectangle's width.
The length is three feet shorter than double the width, according to the problem. As a result, the length may be written as:
2x - 3
The lengths of all the sides make up a rectangle's perimeter, which in this instance is:
2w + 2l
By substituting the width and length measurements we discovered:
2x + 2(2x - 3)
Simplifying:
2x + 4x - 6 = 27
6x = 33
x = 5.5
The rectangle is 5.5 feet wide as a result.
We may change x into the expression we discovered earlier to figure out the length:
2(5.5) - 3 = 8
The rectangle is 8 feet long as a result.
As a result, the rectangle's measurements are:
Width: 5.5 feet
Length: 8 feet
Please help me please help me please help me please help, please help
A cone has a height of 13 yards and a radius of 12 yards. What is its volume? Use л ~ 3.14 and round your answer to the nearest hundredth.
Please help me
The volume of the cone is 1960.64 cubic yards.
We have,
The formula for the volume of a cone is:
V = (1/3)πr²h
where π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 12² x 13
V = (1/3) x 3.14 x 144 x 13
V = 1/3 x 3.14 x 1872
V = 1960.64
Rounding to the nearest hundredth, we get:
V = 1960.64
Therefore,
The volume of the cone is 1960.64 cubic yards.
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Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?
Taner will only need to run 3 km this week to complete his 6 km running goal.
Describe the fractional number in detail:If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.
To determine the fractional numbers, two whole numbers (including fraction terms) are separated by a horizontal line (the fraction line). The denominator just below line must be different from zero, whereas the numerator well above line may be any whole number.Given that, Taner's overall running goal is 6 km (including last week and this week)
So,
Taner's 2-week goal is 6 kilometres.
Now,
Taner's goal for the week is 3 kilometres = (6/2).
As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.
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Please solve these two equations by writing them in standard form helppppp ASAP
The equation in standard form is (x- (-12))² + (y - 0)² = (√164)²
How to write the equation of a circle in standard form?The standard form of the equation of a circle is
(x-a)² + (y-b)² = r²
where (a, b) is the center and r is the radius
Using the completing square method on the given equation:
24x + y² = -x² + 20
x²+ 24x + y² = 20
[x² + 24x + (12)²] + [y² + 0x + (0)²] = 20 + (12)²
(x + 12)² + (y + 0)² = 164
(x - (-12))² + (y - 0)² = 164
(x- (-12))² + (y-0)² = (√164)²
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City Hospital reported 49 deaths in June. There were 489 discharges. Eight of those deaths occurred within 48 hours of admission. What is the gross death rate?
The gross death rate is 8.38%.
What is a Rate?
A rate is a measure of the frequency of an event or occurrence in relation to a specific population or time period. Rates are often expressed in terms of units per time or per population, such as cases per 100,000 people or births per year.
The gross death rate is the number of deaths in a given time period divided by the total population or, in this case, the total number of discharges.
To calculate the gross death rate for City Hospital in June, we need to subtract the eight deaths that occurred within 48 hours of admission from the total number of deaths:
Total deaths = 49 - 8 = 41
Then, we divide the total number of deaths (41) by the total number of discharges (489) and multiply by 100 to get the rate per 100 discharges:
Gross death rate = (41 ÷ 489) x 100 = 8.38%
Therefore, the gross death rate for City Hospital in June is 8.38%.
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1. a small electronics store has begun to advertise in the local newspaper. before advertising, the long-term average weekly sales were $9,820. a random sample of 50 weeks while the newspaper ads were running gave a sample mean weekly sales of
The null hypothesis is that the population mean weekly sales are $9820. The alternate hypothesis is that they are greater than $9820. The calculated t-value is 7.45, which is greater than the critical value of 1.677. Therefore, we reject the null hypothesis and conclude that the population mean weekly sales are higher than $9820.
To test whether the population mean weekly sales have increased after advertising, we can use a one-sample t-test.
The null hypothesis is that the population mean weekly sales have not increased, which means the population mean is still $9820:
H0: μ = $9820
The alternative hypothesis is that the population mean weekly sales have increased, which means the population mean is greater than $9820:
Ha: μ > $9820
The significance level is 0.05, so we need to calculate the critical value of t for a one-tailed test with 49 degrees of freedom (n-1), which is 1.677.
To calculate the test statistic, we can use the formula:
t = (X - μ) / (s / √n)
Where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Given that the sample mean is X = $10960, the hypothesized population mean is μ = $9820, the sample size is n = 50, and the population standard deviation is θ = $1580, we can calculate the sample standard deviation:
s = θ / √n = $1580 / √50 = $223.61
Now we can calculate the test statistic:
t = (X - μ) / (s / √n) = ($10960 - $9820) / ($223.61 / √50) = 7.45
Since the calculated t-value (7.45) is greater than the critical t-value (1.677), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population mean weekly sales have increased after advertising.
Therefore, we can infer that the advertising campaign in the local newspaper has been effective in increasing the sales of the electronics store.
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--The given question is incomplete, the complete question is given
" a small electronics store has begun to advertise in the local newspaper. before advertising, the long term average weekly sales $9820. a random of 50 weeks while the newspaper ads were running gave a sample mean weekly sale of x = $10960. Does this indicate that the population mean weekly sales is now more than $9820? test at the 5% level of significance. Assume theta = $1580.
A. state the null and alternate hypothesis.
B. Compute the or t va;ue of the sample test statistic.
C. Find the critical value(s).
D. based on the answers to a-c, what is your conclusion?"--
The whole number 330 is divisible by 2, 3, 5, 6, 10, and 11.
TrueFalse
Answer: True
Step-by-step explanation:
Answer:
Step-by-step explanation:
330/2 = 165
330/3 = 110
330/5 = 66
330/6 = 55
330/10 = 33
330/11 = 30
the answer is true
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
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A particle moves along the y-axis so that at time t≥0 its position is given by y(t)=t3−6t2+9t. Over the time interval 0
Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.
To find the maximum displacement, we need to first determine the particle's velocity and acceleration.
The velocity of the particle is given by the derivative of its position function:
[tex]v(t) = y'(t) = 3t^2 - 12t + 9[/tex]
The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12
Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.
This occurs when its velocity is zero:
[tex]3t^2 - 12t + 9 = 0[/tex]
Simplifying this equation, we get:
[tex]t^2 - 4t + 3 = 0[/tex]
This quadratic equation factors as:
(t - 1)(t - 3) = 0
So the particle comes to rest at t = 1 or t = 3.
Next, we need to determine whether the particle is at a maximum or minimum at each of these times.
To do this, we look at the sign of the acceleration:
When t = 1, a(1) = 6(1) - 12 = -6, which is negative.
Therefore, the particle is at a maximum at t = 1.
When t = 3, a(3) = 6(3) - 12 = 6, which is positive.
Therefore, the particle is at a minimum at t = 3.
Finally, we need to find the displacement of the particle at each of these times:
[tex]y(1) = 1^3 - 6(1)^2 + 9(1) = 4[/tex]
[tex]y(3) = 3^3 - 6(3)^2 + 9(3) = 0.[/tex]
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can yall help me on this i have been stuck on it for a long time
The least common multiple of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 2 and 3 is 6, because 6 is the smallest number that is a multiple of both 2 and 3.
For this problem, the number of packs bought is the least common multiple of 10 and 12, which is obtained by factoring them into prime numbers as follows:
10 - 12|2
5 - 6|2
5 - 3|3
5- 1|5
1 - 1
Hence:
lcm(10, 12) = 2² x 3 x 5 = 60.
Hence:
The number of packs of buns is given as follows: 6, as 60/10 = 6.The number of hot dogs is given as follows: 5, as 60/12 = 5.More can be learned about the least common multiple at https://brainly.com/question/10749076
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Joe wants to answer the with a river. He marks off two right triangles as shown in the figure. The base of the larger triangle has a length of 55 M and the base of the smaller triangle has a length of 26 m. The height of the smaller triangle is 21.4m. How wide is the river? Round your answer to the nearest meter. (The figure is not drawn to scale)
The width of the river is approximately 45m.
How to calculate the width of the river?Let's say the illustration may be explained as follows:
The big right triangle is located inside the river, with its base extending down one of its sides and its height spanning its breadth.
The base of the little right triangle lies on the opposite bank of the river, outside of it.
Triangles don't cross over one another. Their bases' endpoints contact, as does the end of their hypotenuses.
Let's assume the two right triangles are similar (which means they have proportional sides).
H1/B1 = H2/ B2
which is H1/55 = 21.4/26
=21.4/26 x 55
= 45.27
It is the larger triangle is the width of the river
If the smaller triangle represents the land on one side of the river and the larger triangle includes both the land and the river, we need to find the width of the river by subtracting the base of the smaller triangle from the base of the larger triangle:
Width of the river = 55 - 26 = 29 meters
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for security purposes a jewelry company prints a hidden watermark on the logo of its official documents. the watermark is a chord located 0.7 centimeter from the center of a circular ring that has a radius measuring 2.5 centimeters. what is the length of the chord?
The chord length is approximately 1.397 centimeters where 0.7 centimeters is the separation from the center of the circle to the chord.
We can use the properties of circles to find the angle formed by the chord at the center of the circle to evaluate the length of the chord.
0.7 centimeters is the separation from the center of the circle to the chord. This remove is additionally the stature of the isosceles triangle shaped by the chord and the two radii of the circle.
Let θ be the angle between the chord and the center of the circle. You can use trigonometry to find θ.
sin(θ/2) = 0.7/2.5
[tex]θ/2 = sin⁻¹(0.7/2.5)[/tex]
θ/2 = 0.2793
θ=2×0.2793
θ ≈ 0.5586 radians
Now that we know θ, we can use the formula for the chord length of a circle.
chord length = 2 × radius × sin(θ/2)
Chord Length = 2 × 2.5 × sin(0.2793)
String length ≈ 1.397 cm
Therefore, the chord length is approximately 1.397 centimeters.
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Write five other iterated integrals that are equal to the given iterated integral. Integral^1_0 Integral^1_y Integral^y_0 f(x, y, z)dz dx dy Integral^1_0 Integral^1_y Integral^z_0 f(x, y, z) dx dz dy Evaluate the triple integral using only geometric interpretation and symmetry. integral integral integral_c (4 + 5x^2yz^2) dV, wher C is the cylindrical region x^2 + y^2 lessthanorequalto 4, -2 lessthanorequalto z lessthanorequalto 2
The value of the triple integral is 1920pi/3.
Here are five other iterated integrals that are equal to the given iterated integral:
[tex]\Integral^2_0 \Integral^y_0 \Integral^1_0 f(x, y, z) dx dy dz[/tex]
[tex]\Integral^2_0 \Integral^z_0 \Integral^1_z f(x, y, z) dx dz dy[/tex]
[tex]\Integral^1_0 \Integral^y_0 \Integral^1_z f(x, y, z) dx dz dy[/tex]
[tex]\Integral^1_0 \Integral^z_0 \Integral^1_y f(x, y, z) dx dy dz[/tex]
[tex]\Integral^z_0 \Integral^1_0 \Integral^y_z f(x, y, z) dx dy dz[/tex]
To evaluate the triple integral of[tex](4 + 5x^2yz^2) dV[/tex]over the cylindrical region [tex]x^2 + y^2[/tex] <= 4, -2 <= z <= 2, we can use geometric interpretation and symmetry.
Note that the integrand [tex](4 + 5x^2yz^2)[/tex] is an even function of x and y, and an odd function of z.
Therefore, the integral over the region where z is positive is equal in magnitude but opposite in sign to the integral over the region where z is negative.
Hence, we can evaluate the integral over the region 0 <= z <= 2, and then double the result.
The region of integration is a cylinder of radius 2 and height 4.
Since the integrand is not dependent on x and y, we can factor out[tex](4 + 5z^2)[/tex] from the integrand, and evaluate the remaining integral over the unit disc in the x-y plane.
Thus, the triple integral can be written as:
[tex]8 * \Integral^2_0 \Integral^2pi_0 \Integral^2_0 (4 + 5z^2) r^3 sin(\theta) dr d(\theta) dz[/tex]
Integrating with respect to r from 0 to 2 and with respect to [tex]\theta[/tex] from 0 to [tex]2\pi[/tex], we get:
[tex]8 * \Integral^2_0 \Integral^2pi_0 (4 + 5z^2) sin(\theta) d(\theta) dz[/tex]
Integrating with respect to theta from 0 to 2pi, we get:
[tex]16pi * \Integral^2_0 (4 + 5z^2) dz[/tex]
Integrating with respect to z from 0 to 2, we get:
16pi * (32/3 + 80) = 1920pi/3.
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x2 − 12x + 49 = 22.
Which equation has the same solution(s) as the given equation?
M. (x − 6)2 = 9
P. (x − 7)2 = 22
R. (x + 7)2 = 4.7
S. (x − 12)2 = −27
By quadratic formula the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9 since it has solutions x=3 and x=9 which are also solutions to X² − 12x + 49 = 22
quadratic formula defined?The quadratic equation ax² + bx + c = 0 can be resolved using the quadratic formula.
that uses the constants (a, b, c) and the numerical coefficients.
When factoring cannot be utilized to solve the quadratic expressions, this approach of solving a quadratic equation is typically used.
x = √(b² - 4ac) / (-b √(b²) / (2a)
We must solve each of the preceding equations to determine which one has the same solution(s) as X²- 12x + 49 = 22 in order to determine which equation has the same solution(s) as X²- 12x + 49 = 22.
Let's start by figuring out X²- 12x + 49 = 22:
X² − 12x + 49 = 22
X² − 12x + 27 = 0
The quadratic formula can then be used to find the value of x:
x = √(b² - 4ac) / (-b√(b²) / (2a)
where a=1; b=-12; and c=27.
x = (-(-12) ±√((-12)² - 4(1)(27))) / (2(1))
x = (12 ±√(144 - 108)) / 2
x = (12 √(36))/ 2
x = (12 6) / 2
x = 6,3
So x = 6,3 is the answer to the equation X²- 12x + 49 = 22.
Let's now resolve each of the provided equations:
M. (x − 6)² = 9 (x -6)² -9=0
(x-6+3)(x-6-3)=0
(x-3)(x-9)=0, where x=3 or x=9
P. (x − 7)² = 22 (x-7)²-22=0
(x-7+√(22))=0
(x=7+√(22))
or (x=7-√(22))
R. (x + 7)² = 4.7 (x+7)²-4.7=0
(x+7+√(4.7))(x+7-√(4.7))=0
No effective remedies
S. (x − 12)²= −27 (x-12)²+27=0
No effective remedies
Therefore, the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9
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I draw two cards from a well-shuffled deck, without replacement. What is the probability that I will draw two aces?
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:
First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:
P(Ace on first draw) = 4/52 = 1/13
Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:
P(Ace on second draw given an ace on first draw) = 3/51
To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:
P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)
P(Drawing two aces) = (1/13) x (3/51)
P(Drawing two aces) = 0.0045 or approximately 0.45%.
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You and two friends are splitting a pizza. You take`\frac{1}{3}`of the pizza. How much of the pizza is left?
Answer:
2/3 pizza is left!
Step-by-step explanation:
You take 1/3 from a whole pizza (3/3), leaving 2/3 for ur 2 buddies :D
Bonsoir j'arrive pas à faire c'est deux exo sur la proportionnalité merci de l'aide bonne soirée.
Exercice 2, Pour faire un mélange de café, on utilise 150 kg d'arabica et 80 kg de robusta. Pour obtenir 805 kg de mélange de même composition.
Quelle quantité doit-on utiliser de chaque qualité de café ?
Exercice 3, Pour faire une boisson à la framboise, André met 4 volumes de sirop pour 7 d'eau et Béatrice met 5 volumes de sirop pour 9 d'eau.
Quelle est la boisson la plus sucrée?
l'exercice 3 est la boisson d'Andres. Je suis désolé si cela ne ressemble pas vraiment à un français parfait, je parle anglais et j'utilise Translate. passe une bonne journée!
For a trip of x miles, a taxi company charges f(x)=2. 20+0. 6[4x] dollars A. ) What is the cost of a 2. 7-mile trip?
If a taxi company charges f(x)=2. 20+0. 6[4x] dollars, the cost of a 2.7-mile trip is $8.68.
To find the cost of a 2.7-mile trip using the given function f(x) = 2.20 + 0.6[4x], we substitute x = 2.7 in the function.
f(2.7) = 2.20 + 0.6[4(2.7)]
f(2.7) = 2.20 + 0.6[10.8]
f(2.7) = 2.20 + 6.48
f(2.7) = 8.68
The function f(x) = 2.20 + 0.6[4x] represents the cost of a taxi ride based on the distance traveled. The first term 2.20 represents the base fare, which is added to the cost regardless of the distance.
The second term 0.6[4x] represents the variable cost, which is calculated by multiplying the distance traveled by 4 and then by 0.6. This function helps the customers to calculate their fare in advance and plan their expenses accordingly.
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A jar contains marbles that are green, red or blue,
1/6 of the marbles are red
1/3 of the marbles are blue
Given that there are 18 green marbles in the jar,
work out how many are blue,
Answer:
36
Step-by-step explanation:
Given:
1/6 of the marbles are red
1/3 of the marbles are blue
There are 18 green marbles in the jar
We can set up the following equations based on the given information:
Number of red marbles = 1/6 * x
Number of blue marbles = 1/3 * x
Number of green marbles = 18
Since the total number of marbles in the jar is "x", we can write the equation for the sum of all the marbles as:
(Number of red marbles) + (Number of blue marbles) + (Number of green marbles) = x
Substituting the values from the given information:
1/6 * x + 1/3 * x + 18 = x
Multiplying through by 6 to eliminate the fraction:
x/6 + 2x/6 + 18 = 6x/6
x + 2x + 108 = 6x
Combining like terms:
3x + 108 = 6x
Subtracting 3x from both sides of the equation:
3x + 108 - 3x = 6x - 3x
108 = 3x
Dividing both sides by 3 to solve for x:
108/3 = 3x/3
36 = x
Given the triangle ABC, if angle A is 9 º, side a is 44 m, and side b is 46 m, find angle C. Please round to one decimal
The angle of C is 161.4°.
Law of Sine:Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
We have :
In the Triangle ABC,
Angle A is 9 º
Side of a is 44 m,
and side of b is 46 m
To find the angle of C
Now, use the law of sines to find angle B:
b/sin B = a/sin A
Plug all the values in above formula :
=> 46/Sin B = 44/Sin 9°
=> 46 × Sin9°/ 44 = Sin B
Sin B = 0.164
[tex]B = Sin^-^10.164[/tex]
B = 9.555
Now, By angle sum of property of a triangle,
The sum of three angles of a triangle is 180°
So, Let's apply angle sum property to find angle C
=> ∠ A + ∠ B + ∠C = 180°
Put the value of B = 9.555 and angle A = 9°
=> 9° + 9.555 + ∠C = 180°
18.555 +∠C = 180°
∠C = 180°- 18.555
∠C = 161.4°
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Cassie starts college in the fall and has decided to live in an apartment. Her monthly living ex- penses are as follows: Rent with utilities: $800 Hydro: $40 Phone/internet/TV: $129 Groceries: $300 (a) If she attends school for 18 months, what will be her total living expenses?
Please help and give explanations! 20 pts.
Answer:
N'(2, 3)
Step-by-step explanation:
my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.
hope this helps ;)
Answer:
see attached
Step-by-step explanation:
You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.
ReflectionA line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.
The attached figure shows the location of image point N'(-2, -3).
__
Additional comment
The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:
(x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis
The sum of the interior angles of a regular polygon is 1080°.
a. ) Classify the polygon by the number of sides.
b. ) What is the measure of one interior angle of the
polygon?
c. ) What is the measure of one exterior angle of the
polygon?
a) The polygon has 8 sides and is called an octagon.
b) The measure of each interior angle of the octagon measures 135 degrees.
c) The measure of each exterior angle of the octagon measures 45 degrees.
a. To classify the polygon by the number of sides, we can use the formula for the sum of the interior angles of a polygon:
Sum of interior angles = (n - 2) x 180 degrees
where n is the number of sides of the polygon.
In this case, we are given that the sum of the interior angles is 1080 degrees. So we can set up an equation as follows:
(n - 2) x 180 = 1080
Simplifying this equation, we get:
n - 2 = 6
n = 8
b. To find the measure of one interior angle of the polygon, we can use the formula for the measure of each interior angle of a regular polygon:
Measure of each interior angle = (n - 2) * 180 degrees / n
Substituting n = 8 into this formula, we get:
Measure of each interior angle = (8 - 2) * 180 degrees / 8
= 135 degrees
c. To find the measure of one exterior angle of the polygon, we can use the fact that the sum of the interior and exterior angles of a polygon is 180 degrees. Therefore, the measure of each exterior angle of a regular polygon is:
Measure of each exterior angle = 360 degrees / n
Substituting n = 8 into this formula, we get:
Measure of each exterior angle = 360 degrees / 8
= 45 degrees
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find the intercepts of the graph of y=x^2-25
The intercepts of the graph of y = x²- 25 are (-5, 0), (5, 0), and (0, -25).
What is the use of graph in maths?Data can also be presented as a table. However, when the information is presented graphically, it is much easier to understand. There are many types of charts and each of them serves specific purposes in different fields.
To find the x-intercepts of the graph, we need to set y = 0 and solve for x:
0 = x²- 25
Adding 25 to both sides gives:
25 = x²
Taking the square root of both sides gives us:
x = ±5
So the x-intercepts are (-5, 0) and (5, 0). To find the y-intercept, we need to set x = 0 and solve for y:
y = 0²-25
y = -25
So the y-intercept is (0, -25).
Therefore, the intercepts of the graph of y = x² - 25 are (-5, 0), (5, 0), and (0, -25).
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What is the answer to the question 233x4
What value of x makes this equation true?
A. x = −48
B. x = 1
C .x =1/2
D. x = 8
The value of x that makes the equation true is 8
What is linear equation?A linear equation is a type of equation that the highest power of it's variable is 1. Example of linear equation include, x+2 =y, x+7/2 =15.
The graph of a linear equation is a straight line and it is represented in form of y = mx+b. Where m is the slope and b is the y intercept.
Solving x-7 = (3/4)x -5
collecting like terms
x-(3/4)x = 7-5
x/4 = 2
x = 8
therefore the value of x that will make the equation x-7 = (3/4)x -5 true is 8.
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PLS HELP 30 PTSS
FOOL ANSWERS WILL BE REPORTED AND GOOD WILL BE GAVE BRAINLYEST
Answer: 59 degrees
Step-by-step explanation:
A triangle has a total of 180 degrees so we subtract that by the values we already know the get the last angle.
180-31-90= 59 degrees
20 POINTS!!!!!!!
For what value of x must the quadrilateral be a parallelogram?
5x
X =
28
(3x+28)
work:
APR
12
!!!
tv
SA
C
standard error of an estimator is not affected by the multiple choice question. population standard deviation. sample size. population size
The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.
The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.
It is calculated simply by dividing the standard deviation by the square root of the sample size. That is [tex]SE = \frac{σ }{\sqrt{n}}[/tex]
where , n --> sample size
σ --> population standard deviations
Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.
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Complete question:
standard error of an estimator is not affected by the multiple choice question.
a) population standard deviation
b) sample size
c) population size
The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain your answer.
WILL GIVE BRAINLIST
By calculating the CDF of normal distribution, the percentage of scores that are greater than 90 are 14.6%.
The CDF function of a Normal distribution is calculated by translating the random variable to the Normal Standard, and then looking up a value from the precalculated "Phi" function (Φ), which is the cumulative density function of the normal standard. The Normal Standard, often written Z, is a Normal with mean 0 and variance 1. Thus, Z∼N(μ=0,σ²=1).
Let x1, x2, .... be the scores on the test.
X ~ N (82, 64)
P(90 < X < 100) = Φ(18/8) - Φ(1) = 0.146 (using norm.s.dist function in excel)
Step-by-step explanation:
cores Distribution and Percentile
The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain
To find the percentage of scores that are less than 90 in a normally distributed test with a mean of 82 and a standard deviation of 8, we can use the cumulative distribution function (CDF) of the normal distribution.
The CDF of a normal distribution gives the probability that a random variable falls below a particular value. In this case, we want to find the probability that a score is less than 90.
The formula for the CDF of a normal distribution is:
CDF(x) = (1/2) * (1 + erf((x - μ) / (σ * sqrt(2))))
where erf is the error function, μ is the mean, σ is the standard deviation, and x is the value we want to find the cumulative probability for.
Plugging in the given values:
μ = 82
σ = 8
x = 90
We can calculate the cumulative probability using the formula:
CDF(90) = (1/2) * (1 + erf((90 - 82) / (8 * sqrt(2))))
Using a calculator or statistical software that provides the error function, we can find that erf(1.0) is approximately 0.6827.
Plugging this value back into the formula, we get:
CDF(90) = (1/2) * (1 + 0.6827) = 0.8414
So, the cumulative probability that a score is less than 90 is approximately 0.8414, or 84.14%.
Therefore, about 84.14% of the scores are less than 90 in this normally distributed test.
Justine takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut she makes is 5 inches long and the width of the paper is 3 inches. What is the paper's length? inches