If Joseph collects data from 186 students from a medium sized school in Iowa and finds that only 11% students has reported rate of bullying , then the 95% confidence interval is option (b) [tex](10.353, 11.647)[/tex] .
the students who report bullying in middle sized school is ⇒ [tex]15[/tex] percent ;
the standard deviation is given as ⇒ 4.5% = 0.045 .
the sample size is ⇒ 186 students ;
the sample proportion is ⇒ 11% = 0.11 .
we know that the for the 95 percent confidence interval the value of z score is 1.96 .
The formula to calculate the upper and lower limit of 95 percent confidence interval is :
= [tex]( Sample Proportion \pm \frac{Zscore \times Standard Deviation}{\sqrt{Population Size} })[/tex]
So , the lower limit of the interval will be calculated as :
= [tex]( 0.11 - \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get
= [tex]0.1035[/tex] = [tex]10.35\%[/tex] ;
So , the upper limit of the interval will be calculated as :
= [tex]( 0.11 + \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get ;
= [tex]0.1165[/tex] = [tex]11.65 \%[/tex]
Therefore , the required interval is [tex](10.353, 11.647)[/tex].
The given question is incomplete , the complete question is
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval ?
(a) (8.75, 13.25)
(b) (10.353, 11.647)
(c) (10.5, 19.5)
(d) (6.5, 15.5)
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Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square
Parallelogram
Quadrilateral
Rectangle
Answer choices
The best description of the figure with the vertices given is, C. Quadrilateral
How to find the figure ?The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.
The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.
To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.
The length of (1, -4), and (-2, 1) is:
= 5.83 units
The length of (-2, 1), and (3, 4) is:
= 5.83 units
The length of (5, 2) and (3, 4) is:
= 2.82 units
The length of (5, 2) and (1, -4 ) is:
= 7.21 units
The shape is neither a square nor a rectangle so it is a quadrilateral.
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Same thing as last time???????
Answer:
84in^2
Step-by-step explanation:
area = l*w
12*7=84
Match the following factored-form quadratics with their equivalent standard form
The factored quadratic functions with their equivalent standard form are given as follows:
1. e -> x² - 3x - 10 = (x - 5)(x + 2)
2. a -> x² + 7x - 10 = (x + 5)(x + 2).
3. c -> x² - 7x + 10 = (x - 5)(x - 2).
4. d -> x² - 2x - 63 = (x - 9)(x + 7)
5. f -> x² + 2x - 63 = (x + 9)(x - 7).
6. b -> x² + 16x + 63 = (x + 7)(x + 9).
How to factor a quadratic function?A quadratic function is defined as follows:
y = ax² + bx + c.
A quadratic function can be factored as a function of it's roots x* and x**, as follows:
y = a(x - x*)(x - x**).
For item a, the function is given as follows:
y = x² + 7x + 10.
The coefficients are given as follows:
a = 1, b = 7, c = +10.
The discriminant is of:
D = 7² - 4(1)(10)
D = 49 - 40
D = 9.
Hence the first root is of:
x = (-7 - square root of 9)/2
x = -5.
The second root is of:
x = (-7 + square root of 9)/2
x = -2.
Meaning that the factored expression is given as follows:
y = (x + 5)(x - 2).
Matched with the second expression of column A.
The same procedure is followed for the remaining quadratic functions.
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Please help- thank you!!
Answer: u = -3
Step-by-step explanation:
To solve the equation, we will isolate the u variable by simplifying and using inverse operations.
Given:
4(3u + 5) = 2(2u - 2)
Distribute the 4 and the 2:
12y + 20 = 4u - 4
Subtract 20 from both sides of the equation:
12y = 4u - 24
Subtract 4u from both sides of the equation:
8u = -24
Divide both sides of the equation by 8:
u = -3
Find the length of the missing side. If the side length is irrational, round to the nearest tenth.
Answer: 17m
Step-by-step explanation: Because if you look on the right side of the triangle you can clearly see that the bottom of the triangle is exactly alike the right side. hope this is correct
Step-by-step explanation:
•let the missing be x
=>x²=18²m+17²m
=>x²=324m²+289m²=613m⁴
=>x=✓613m⁴
evaluate the numerical expression
5^2/5^3
Answer:
The answer is 5⁻¹ or 1/5
Step-by-step explanation:
5²/5³
Here, we know that the base is the same i.e., 5 so, will use the property;
xᵐ ÷ xⁿ = xᵐ⁻ⁿ5² ÷ 5³
5² ⁻ ³ = 5⁻¹ = 1/5
Thus, The answer is 5⁻¹ or 1/5
How doe etimation help you place the decimal point in a product correctly?Explain
By counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.
What is Estimation?A high number of a certain number is estimated to be the closest whole number or significant number.
When estimating, the use of decimal points aids in separating the fractional portion from the entire figure.
For instance, we have a total of three integers after the decimal point if we want to calculate the product of 4.23 and 2.1.
4.23
× 2.1
4 2 3
________
8 4 6
8 8 8 3
Therefore, we shall move the decimal point three places, working our way from the back to the front.
The result of 4.23 and 2.1 is 8.883 then.
We can therefore say that we completely understand how estimating helps you accurately set the decimal point in a product.
Therefore, by counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.
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Correct question:
How does estimation help you place the decimal Point in a product correctly?
what is the vertex and y-intercept of y=-(x+3)^2+4
vertex: (−3, −4); y-intercept: 13
vertex: (3, −4); y-intercept: −9
vertex: (3, 4); y-intercept: −5
vertex: (−3, 4); y-intercept: −5
Answer:
Vertex → (x, y) = (− 3, − 4)
x intercepts → (x, y) = (−5, 0) and (−1, 0)
y intercept → (x, y) = (0, 5)
Step-by-step explanation:
Set y = 0 = ( x + 3)^2 − 4
Add 4 to both sides
4 = (x + 3)^2
Square root both sides
± 2 = x + 3
Subtract 3 from both sides
x = − 3 ± 2
x intercepts → (x, y) = (− 5, 0)
and
(− 1, 0)
You may if you so choose determine the vertex from this point
x vertex is midway between the x intercepts then by substitution determine y. The method I used later takes less work.
Given
y (x + 3)^2 − 4
x vertex = (-1) ×(+ 3) = − 3
y vertex = − 4
Vertex → (x, y) = (− 3, − 4)
y intercept = + 3^2 − 4 = 5
What is the solution to 3 4?
The solution of the fraction 3/4 is 0.75
The term fraction is defined as represent the parts of a whole or collection of objects
Here we have given the fraction 3/4.
Now, we have to do the following steps in order to find the decimal equivalent for the fraction.
First of all we just need to divide the numerator by the denominator.
Then we get the fraction is 3/4 which means we need to divide: 3 ÷ 4.
The division process is illustrated on the following image.
Then the decimal equivalent to the fraction written as 3/4 is expressed as 0.75 in the decimal form.
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How do parallel algorithms differ from sequential?
The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel method over a sequential one.
Differences between Sequential and Parallel ComputingSequential Computing: One instruction is delivered at a specific time, and the subsequent instruction must wait for the first instruction to complete before it can be executed. This is known as sequential computing. Because all the instructions are carried out in order, it is often referred to as a conventional computing technique. It has a single CPU that performs poorly and has a heavy workload. The biggest drawback of employing this computing is that it requires more time because just one instruction is being processed at a time.
Parallel Computing: A computing method known as parallel computing involves running numerous calculations or processes simultaneously in parallel. Parallel computing is a kind of computing in which multiple processes can run at once.
Due to the simultaneous execution of the operations, time is saved. It resolves more complex issues. There are many processors with high performance and little work being put on each of them.
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Prove that :
Question 1 :
[tex]sec^2 \theta +cosec^2\theta = (tan \theta +cot \theta )^2[/tex]
Question 2 :
[tex]\frac{1-tan^2\theta}{1+tan^2\theta} =(cos +sin \theta)(cos \theta -sin \theta)[/tex]
Question 3 :
[tex]\frac{sin \theta}{1-cot \theta}+\frac{cos \theta}{1-tan \theta} =cos \theta +sin \theta[/tex]
Answer:
Question 1sec²θ + cosec²θ = 1/cos²θ + 1/sin²θ = (sin²θ + cos²θ)/(sin²θcos²θ) = 1 / (sin²θcos²θ) = [(sin²θ + cos²θ)/sinθcosθ]² =(sinθ/cosθ + cosθ/sinθ)² = (tanθ + cotθ)²Question 2(1 - tan²θ) / (1 + tan²θ) = (1 - sin²θ/cos²θ) / (1 + sin²θ/cos²θ) = (cos²θ - sin²θ) / (cos²θ + sin²θ) = (cosθ + sinθ)(cosθ - sinθ) / 1 = (cosθ + sinθ)(cosθ - sinθ) Question 3sinθ/ (1 - cotθ) + cosθ / (1 - tanθ) = sinθ / (1 - cosθ/sinθ) + cosθ / (1 - sinθ/cosθ) = sinθ/ [(sinθ - cosθ) / sinθ] + cosθ / [(cosθ - sinθ)/cosθ] =sin²θ/ (sinθ - cosθ) + cos²θ/(cosθ - sinθ) = sin²θ/ (sinθ - cosθ) - cos²θ/(sinθ - cosθ) =(sin²θ - cos²θ) / (sinθ - cosθ) = (sinθ + cosθ)(sinθ - cosθ) / (sinθ - cosθ) = sinθ + cosθPlease find attached herewith the solutions of your questions.
Hope it helps.
Is 6 A positive number?
Yes, 6 is an positive number.
Now, According to the question:
What Is A Positive Number?
A positive number is any number that represents more than zero of anything. If you are talking about dollars in your bank account, a positive number will definitely make you feel positive too.
1, 2, 3, 4, 5, 6, 7, ........ are positive integers and -1, -2, -3, -4, -5, -6, -7, ........ are negative integers. 0 is an integer which is neither positive nor negative. On an integer number line, all numbers to the right of 0 are positive integers and all numbers to the left of 0 are negative integers.
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Question 9(Multiple Choice Worth 1 points)
(05.06 LC)
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 4 inches
Which calculation will give the total surface area of the solid figure?
6 ⋅ 4 ⋅ 4 square inches
4 ⋅ 6 ⋅ 6 square inches
6 ⋅ 4 ⋅ 4 ⋅ 4 square inches
4 ⋅ 6 ⋅ 6 ⋅ 6 square inches
PLEASE HELP
you can use a calculator to try and multiply all of them so multiply 6x4 and then it will give you the answer then once you have that answer multiply it with the 4 im pretty sure but if not then sorry
Eli sells refrigerators. His base salary is $250 per week, and his commission is $50 for each refrigerator (r) that he sells. He needs to make more than $900 this week. Which TWO statements are correct for this situation?
A) $50r + $250 < $900
B) $50r ≥ $900
C) $50r + $250 > $900
D) Eli needs to sell more than 13 refrigerators.
E) Eli needs to sell more than 15 refrigerators.
Answer:
C and e
Step-by-step explanation:
the 50r represents the commision he receives for each refrigerator he sells, and the 250 is the base salary and it’s bigger than, >, because he needs to earn MORE than 900 and you get D by solving the inequality, 50r >900, r>15
would be amazing if you marked this brainliest :)
Answer: the other guy is wrong it is c an d
Step-by-step explanation:
i need serious help pls
Answer:
A.
Step-by-step explanation:
20/12 times 3.
You spin the spinner once what is p (even)
Answer:
???
Step-by-step explanation:
inadequate info a pic is needed :)
Answer:
50%
Step-by-step explanation:
real answer
EASY MATH!!! GIVING BRAINLIEST
Answer:
it might be 30. If you lose half every 90 days, You lose half of 120, which is 60. another 45 days would make it half again, equaling 30
Answer: 30
Step-by-step explanation:
Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).
Correctly complete the sentence.
The perimeter of pentagon CDEFG is____________
the perimeter of pentagon C'D'E'F'G'
If the pentagon is translated 7 units up and 5 units left, it is still the same size, it's just in a different position. The attached picture shows shows a translation in which the shape moves, but remains the same size. (I couldn't find one with a pentagon)
Because they are the same size, C'D'E'F'G' has the same perimeter as CDEFG.
I think it's "the same" or "equal to." I didn't define a specific answer because I'm not sure if they gave you any options, but the pentagons are the same size.
Find the sum of the interior angles of a nonagon.
A. 140°
B. 1,620°
C. 1,260°
D. 1,450°
The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.
1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.
2. For a nonagon (a 9-sided polygon), the calculation is
(9-2) × 180° = 1,450°.
The sum of the interior angles of any polygon can be calculated using the formula
(n-2) × 180°,
where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is
(9-2) × 180° = 1,450°.
This means that the sum of the interior angles of a nonagon is 1,450°.
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Select the correct answer.
Which of these graphs represents a function?
NIL
MU
2
3
4
5
-5-4-3-2-4
2 3 4 5
-5-4-3-2-11
-2
GYPT
W.
X.
y
HT
um et
X
-5-4-3-2-11245
N
.
JS
ANS
Y.
Z.
OA W
OB. X
OCY
OD. Z
Answer:
its b
Step-by-step explanation:
#11 Please answer the question
Answer:
Step-by-step explanation:
The two given angles are called remote interior angles. They share 1 line with each other and each of them shares the other line making them up with the remote exterior angle (x)
x is the sum of the two interior angles
x = 88 + 46
x = 134
In the 2-man bobsled competiton in the olympics, the gold medalists were about 0.2 seconds faster than the silver medalists, and the silver medalists were about 0.14 seconds faster than the bronze medalists. Which gap in time was larger? By how much?
The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.
what is unitary method ?The unit technique is a strategy for addressing issues that entails first figuring out the value of a specific unit, then dividing that value to figure out the needed value. Simply put, the unit method is employed to derive a single system value from a multiple that is supplied. For example, 40 pens might cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, computational equations, or algebra of matrices or operators.
given
time separation of gold medalists by silver medalists is equal to 0.14 minus 0.2, or 0.11.
The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.
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Match the partition type to its description.
1 . Logical partition A partition with an extended partition 2 . System partition The partition where you place the boot loader 3 . Primary partition The section of the hard drive that will become the bootable drive
Logical partition - A partition within an extended partition
System partition - The partition where you place the boot loader
Primary partition - The section of the hard drive that will become the bootable drive
IBM and Microsoft initially kept internal lists of designated partition types to be used in the MBR partition table. As the market for PC operating systems and disc tools expanded and became more open, other suppliers also needed to give their products specialised partition kinds. Third parties began to merely allocate partition types on their own behalf in a largely uncoordinated trial-and-error fashion because Microsoft neither documented all of the partition types already given by them nor wished to retain foreign assignments. This resulted in several conflicting assignments, which occasionally caused serious compatibility issues between certain products. [1]
In the 1990s, a number of industry professionals including Hale Landis, Ralf D. Brown, Matthias R. Paul, and Andries E. Brouwer began investigating partition kinds.
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what is 4-3x=-17 workout?
Answer:
x = 7
Step-by-step explanation:
first subtract 4 from both sides
-3x = -21
divide both sides by negative 3
x = 7
Two sides of an isosceles triangle are 12.5 cm each wow the third side is 20 cm what is the area of the triangle
The area of the isosceles triangle having two sides 12.5 cm and another 20cm is 75cm².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know that an isosceles triangle has two sides having the same length and the third one is different.
We also know that the area of an isosceles triangle is (1/2)×b×√(a² - b²/4),
where b is the value of the third side and a is the value of two similar sides.
Therefore, The area of the isosceles triangle having side lengths of two similar sides is 12.5 cm and the third side is 20 cm is,
= (1/2)×20×√((12.5)²- (20)²/4) cm²,
= 10×√(156.25 - 100) cm².
= 10×√(56.25) cm².
= 10×7.5 cm².
= 75 cm².
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y^2=1/5(x-4), (24,2)
Professor Curie is using the radioactive isotope Francium-223 in her research. This
isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has
half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of
Francium-223, which explicit formula describes how the isotope decays?
This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.
Step 1: Start with the formula
N(t) = 15 * (1/2)^(t/22).
Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,
N(44) = 15 * (1/2)^(44/22).
Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.
Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is
15 * (1/4) = 3.75 grams.
The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.
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Dominic invested $93,000 in an account paying an interest rate of 6. 8% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $202,800?
The standard deviation equation ( 1 + 6.8)% × 93000 > 202800
What is standard deviation?
Your dataset's standard deviation serves as a gauge of its degree of variability. It displays the typical difference between each outcome and the mean.
While a high standard deviation indicates that values are frequently distant from the mean, a low standard deviation indicates that values are typically grouped close to the mean.
( 1 + 6.8)% × 93000
= 202800
Then we get n ≈ 12,
the equation ( 1 + 6.8)% × 93000 > 202800
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Please help me literally need this to be answered in 2 hours P-L-E-A-S-E !!
Answer:
Yeah with that type of problem
Step-by-step explanation:
You aint getting answered for the next 4 hours <3
PLEASE HELP PICTURE ATTACHED
Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
Triangle definitionAny three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.
Here,
Because angles 1 and 2 are close to one another, they are neighboring angles.
A They share a side and are near to each other, making them neighboring angles.
B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.
C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.
D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
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