Answer:
Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.
Later on in this module, you will learn how to model events by writing trigonometric functions. for now, do some research on events that are cyclical or periodic. write a discussion post about one of those events. be sure to describe the event and the period.
The events that are cyclical are:
The change of seasons each yearEarth Rotation.Moon Phases.Tides.The events that are periodic are:
Pendulum OscillationSimple harmonic motionstuning fork,, etc.What are Cyclical events?Cyclical events are known to be event that occurs in a specific order e.g. Changes in the economy.
The Events that take place only after a regular interval of time are known to be periodic event.
Therefore, the events that are cyclical are:
The change of seasons each yearEarth Rotation.Moon Phases.Tides.The events that are periodic are:
Pendulum OscillationSimple harmonic motionstuning fork,, etc.Learn more about Cyclical events from
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As the sample size increases, the margin of error _____.
The margin of error is inversely proportional to the sample size. As the sample size increases, the margin of error decreases.
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The margin of error is given as
[tex]\rm ME = z\times \sqrt{\dfrac{p(1-p)}{n}}[/tex]
We know that margin of error is inversely proportional to the sample size.
As the sample size increases, the margin of error decreases.
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Keiko surveyed people with cell phones.
Age in years=a
Texts they send per day=t
He drew a best-fit line and determined its equation.
Student
Keiko
Trend Line
t -1.63a + 92.14
Evaluate how many texts a 15 year old would send each day according to Keiko's trend line equation.
Using the line of best fit, the amount of texts a 15-year old would send in a day is of 67.69.
What does the line of best fit gives?It gives the expected number of texts a person of an age a would send in a day, according to the following function:
t = -1.63a + 92.14.
For a person that is 15 years old, we have that a = 15, hence the expected number is given by:
t = -1.63 x 15 + 92.14 = 67.69 texts.
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#24. you and your friends go to the county fair the cost to get in is $8 and the tickets per game to my cost $0.25 each. Write an equation to create a table of reasonable values and identify the domain and range for the scenario.
The equation of the scenario is y = 8 + 0.25x and the domain is x ≥ 0 and the range is y ≥ 8
How to determine the equation?The given parameters are:
Entrance fee = $8Rate = $0.25 per personLet the total cost be y, and the number of people be x.
The equation would be:
y = Entrance + Rate * x
This gives
y = 8 + 0.25x
Hence, the equation of the scenario is y = 8 + 0.25x
The table of valuesSet x = 0 to 5, and calculate the function values
y = 8 + 0.25 * 0 = 8
y = 8 + 0.25 * 1 = 8.25
y = 8 + 0.25 * 2 = 8.50
y = 8 + 0.25 * 3 = 8.75
y = 8 + 0.25 * 4 = 9.00
y = 8 + 0.25 * 5 = 9.25
So, the table of values is:
x y
0 8
1 8.25
2 8.50
3 8.75
4 9.00
5 9.25
The domain and the rangeThe domain is the set of people that can get in (i.e. at least 0), while the range is the total amount (i.e. at least the entrance fee)
Hence, the domain is x ≥ 0 and the range is y ≥ 8
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A biologist hypothesizes that the mean life expectancy of a mosquito is 14 days. Researchers believe the true mean is less than 14 days and they plan a hypothesis test at the 5% significance level on a random sample of 60 of these mosquitos. If the alternative hypothesis is correct, for which of the following values of μ is the power of the test greatest?
μ = 9
μ = 7
μ = 10
μ = 14
μ = 18
Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.
Which value of μ will have the greatest power of test?The alternative hypothesis is that Hₐ : μ < 14.
For the alternative hypothesis to be right, μ will have to be less than 1.4.
μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.
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Answer:
μ = 7
Step-by-step explanation:
Got this right on the segment exam. Good luck, my FLVS fellows!
A car used of a gallon of gas to drive of a mile. At this rate, how many miles
can the car travel using 1 gallon of gas?
Table for a linear equation
Fill in the table using this function rule.
y = -10x + 1
x y
-5
-1
0
1
Answer:
x: y :
-5 | 51
-1 | 11
0 | 1
1 | 11
Step-by-step explanation:
y = 10x + 1
(Table)
x: y:
-5 |
-1 |
0 |
1 |
Lets begin plugging in our (x) into the function(x = -5)y = -10(-5) + 1
y = 50 + 1 (if you multiply a negative by a negative it will be positive)
y = 51
(x = -1)y = -10(-1) + 1
y = 10 + 1
y = 11
(x = 0)y = -10(0) + 1
y = 0 + 1
y = 1
(x = 1)y = -10(1) + 1
y = 10 + 1
y = 11
Plug into the table
(table)
x: y :
-5 | 51
-1 | 11
0 | 1
1 | 11
If you have any questions feel free to ask:)What critical value of t* should be used for a 95% confidence interval for the population mean based upon a random sample of 20 observations
Using a calculator, the critical value of the t-distribution that should be used for a 95% confidence interval with 20 observations is of t* = 2.0930.
How to find the critical value of the t-distribution?A calculator is used, with two inputs:
The confidence level.The number of degrees of freedom, which is one less than the sample size.In this problem, we have a 95% confidence interval, with 20 - 1 = 19 df, hence the critical value is of t* = 2.0930.
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which of the following is the equation of a line in sloep intercept form for a line with slope = 1/3 and y intercept at 0,-4
Answer:
Step-by-step explanation:
y + 4 = 1/3(x - 0)
y + 4 = 1/3x - 0
y = 1/3x - 4
Can I get help with this pls
Answer:
2 [tex]\leq[/tex] x [tex]\leq[/tex] 7
Step-by-step explanation:
See attachment.
the picture below illustrates a special type of comic section called a circle. which of the following offers the best description of how a circle is formed?
From the diagram, a circle is formed because D. The plane passes through only one nappe of a circular one and is parallel to its base.
How does the diagram show the formation of a circle?The plane given only passes through one nappe instead of the two nappes.
The angle that the plane passes the nappe is parallel and not perpendicular to the base of the nappe as shown in the diagram.
The plane does not pass through the vertex which is the point where the planes.
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Which line is perpendicular to the line: y − 4 = 25(x +1)?
PLEASE HELP!!! 50 POINTS!!!
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation:
7x+8y=-18
-5+y=-14
system by substitution ^
Answer:
y=5+14=19
Step-by-step explanation:
Y=5+14=19 this is the right answers
Given that p(x) = 2(x - 12)2 + 5, what is the value p(3)
Answer:
p(3) = 25
Step-by-step explanation:
p(3) = 2(3 - 12)2+5
p(3) = 6 - 24 + 2 + 5
p(3) = 25
The NUK Energy Company is designing a new logo, as shown in the accompanying
diagram, with mNK-130 and mNK-m.NU.
N
K
What is the measure of ZKNU?
1) 80°
2) 65°
3) 50°
4) 100°
U
The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°
How to find the angle in a quadrilateral?
From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;
∠KNU 1/2 * 100 = 50°
This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.
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geometry please help!
Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
plss help, ill give brainiest
Answer:
A
Step-by-step explanation:
Cylinder volume= V = π r ^2 h
So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)
So the volume is 384.85.
You then find 30% of this, so times 384.85 by 30%.
You then get an answer of 115.455, and this is equal to A.
I hope this helps, have a lovely day.
The probability that Janet will win the marathon is 44%. What is the probability that Janet will not win the marathon? Write the probability as a percent and include the percent symbol.
Answer:
56%
Step-by-step explanation:
If the percentage that she wont win is 44% she still has a 64 percent chance of winning
Find the x-intercept and y-intercept of each linear function
Two lines, A and B, are represented by the equations given below: Line A: y = x − 6 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (−5, −11), because the point satisfies both equations b (−5, −11), because the point does not lie on any axis c (−3, −5), because the point satisfies one of the equations d (−3, −5), because the point lies between the two axes
The solution to the system of linear equations is: (−5, −11).
What is the Solution to the System of Linear Equations?The solution to a system is the x and y -coordinates that satisfies the two linear equations.
Given the linear equations:
Line A: y = x − 6
Line B: y = 3x + 4
Now, equating these two equations
x - 6 = 3x + 4
2x = -10
x = -5
y = -11
Hence, the solution is: (−5, −11), because the point satisfies both equations.
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about AC in ABC?
BC + AC = 22; AB + BC = 12
Answer:
ab<6 units
Step-by-step explanation:
One of the basic property of any triangle is that the sum of the length of any two sides of a triangle is always greater than the length of the third side. Here we are given a triangle abc, in whicn bc=4ac= 8-abIf have to make some conclusion about ab.As per the property discussed above ab<ac+bcab<8-ab+42ab<12ab<6Hence the length of ab must be less than 6 units
what is pi times squared
Answe
Step-by-step explanation:
cuanto es 3,072 en fraccion ?
help solve these algebraic fractions please, with explanation would be great
Step-by-step explanation:
i answered it , and tried to give explanation too...
hope its helpful ,
If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft
The side |rs| is congruent to side |ac| which is 14 ft.
What are congruent triangles?Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.
The figures from the textbook illustrate that following rotation, the two triangles are congruent.
This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.
Therefore:
ab = tr = 10 ftac = rs = 14 ftbd = ts = 20 ftLearn more about congruent triangles here:
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GRADE 11 MATH
PLEASE HELP!
Nelson received $10,000 on his 17th birthday. This is the accumulated amount of an
investment his parents made on the day he was born. The investment earned 9.5%/a,
compounded semi-annually.
a) Determine the amount that Danny’s parents invested 17 years ago. [3 marks]
b) How much interest did the investment earn? [1 mark]
The amount that was invested 17 years ago is $2064.25.
The interest earned is $7935.75.
What is the amount invested 17 years ago?The formula that would used to determine the amount that was invested 17 years ago is:
P = FV / (1 + r)^nm
Where:
FV = Future value = 10,000P = Present value R = interest rate = 9.5 / 2 = 4.75%m = number of compounding = 2 N = number of years = 1710,000 / (1.0475)^(17 x 2) = $2064.25
Interest earned = 10,000 - 2064.25 = $7935.75
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Find the volume of the rectangular prism in cubic feet. 3.4 ft 0.8ft 0.6ft "these are not the answers these are the ft of the prism
Answer:
A
Step-by-step explanation:
becaauss im smart and trust me im smart
If 0.15% of budget is spent on office supplies, what decimal should you multiply budget
Answer:
0.015
Step-by-step explanation:
0.15% = 0.0015
{transfer}
Martin wants to use coordinate geometry to prove that the opposite sides of
a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that A is (0, 0), B is (a,0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point D to point A?
A. 0-0)2+(b-0)² = √√b² = b
B. (a-a)2+(b-0)² = 6²
C. (0-0)² + (b-0)² = 6²
OD. √(-a)2+(b-0)²-√√b² = b
The correct answer is option A which is the distance between A and D will be AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The formula utilised to find the distance between two points is;-
X = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.
AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].
Therefore the correct answer is option A which is the distance between A and D will be AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].
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The graph of the function f (x) = StartFraction 3 Over x + 5 EndFraction is shown below.
On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5.
What is the vertical asymptote of the function?
Using it's concept, it is found that the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
In this problem, the function is fraction given by:
[tex]f(x) = \frac{3}{x + 5}[/tex]
At the denominator, we have that:
x + 5 = 0 -> x = -5
Hence the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.
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Answer: A) x= -5
Took the test and got 100% :)