Answer:
180 bestie
Step-by-step explanation:
The magnitude of rotational symmetry of the given ellipse is angle 180°.
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,
then the equation of that ellipse would be:
\(\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1\)
Coordinates of its foci would be: \((h \pm c, k)\) where c^2 = a^2 - b^2
Let the magnitude of rotational symmetry of the given ellipse is angle θ.
Measure of angle θ is a straight line.
Measure of angle θ = 180°
Therefore, with a rotation of 180° ellipse will overlap itself.
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Write 0.0000055 in scientific notation
Answer:
(b) 5.5 × 10^-6
Step-by-step explanation:
hope if helps
Andrew drew 20 drawings and 90 pictures how many times did he draw and painted
Answer:
110
Step-by-step explanation:
90 + 10
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 20 boards is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. Is there evidence at the 0.1 level that the boards are either too long or too short?
1. State the hypotheses.
2. Find the value of the t test statistic.
3. Specify if the test is one-tailed or two-tailed.
4. Determine the decision rule.
5. Determine the conclusion.
A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis
Answer:
-0.750
Step-by-step explanation:
9. Joseph is 2 meters 30 centimeters tall. How tall is Joseph in millimeters?
O23,000 millimeters
O2,300 millimeters
O230 millimeters
O23 millimeters
Answer:
Step-by-step explanation:
372 Millimeters
Answer:
2,300 millimeters
Step-by-step explanation:
when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.
simplify:
\(\frac{sin^{2}(\frac{\pi }{2}-x) }{csc^{2}x-1 }\)
The value οf the expressiοn is \(-cot^2x\).
What is trigοnοmetry?Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.
What is equation?An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.
\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)
Hence, the value of the expression is \(-cot^2x\).
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One of the 55 students are selected at random.written as a fraction what is the probability
If one of the 55 students is selected at random, the probability of this occurring can be written as a fraction by dividing the number of selected students by the total number of students. In this case, the probability would be 1/55.
Need help will give brainliest and 5 stars!
Answer:
(x+1) (x+6)/(x+7) (x+8)
X+1=0 so x=-1 and -6 respectively on the
x+7=0 so x=-7 and -8 in the
1denominator
Step-by-step explanation:
answer x<-1 and x<-6/
x<-7 x<
1. In the right triangle shown below, determine the value of x. (Round to the nearest
tenth.)
Answer:
20.8
Step-by-step explanation:
so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three
so then x would be equal
24/12=12 root three which is equal to 20.8
Find the area of the trapezoid.
( The answer 10.5 is not correct )
Answer:
42 units
Step-by-step explanation:
Area of a trapezoid is always 1/2(b1+b2)*h
so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42
sjrface area of triangle base of 11cm and height 7cm
Answer:
38.5...............
Step-by-step explanation:
(11×7)/2.
The subtraction problem 4/5 - 2/7 can be rewritten as the addition problem _[blank].
Enter your answer as the expression that correctly fills in the blank.
Enter fractions formatted like this: 3/14
It can be written as 13/35.
how do we rewrite a fraction.
Divide the numerator by the denominator
Write down the whole number result
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
A number that will divide evenly into both the numerator and denominator so it can be reduced, or
The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number
4/5-3/7
⇒4×7-3×5/ 35 ( 5 and 7 have no common divisor).
⇒ 28- 15/35
⇒13/35
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A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
Can you explain to me how did we get the answer
The end behavior of the polynomials are as follows;
(a) y = x³ - 9·x² + 8·x - 14
End behavior; y → ∞ as x → ∞
\({}\) y → -∞ as x → -∞
(b) y = -8·x⁴ + 13·x + 800
End behavior; y → -∞ as x → -∞
\({}\) y → -∞ as x → ∞
What is the end behavior of a a polynomial?The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.
The factors that effect the end behavior of a polynomial are;
The degree of the polynomial, (even or odd)
The sign of the leading coefficient of the polynomial (positive or negative)
The leading coefficient is the coefficient of the term with the highest degree.
(a) The polynomial, function, y = x³ - 9·x² + 8·x - 14
The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;
y tends to positive infinity as x tends to positive infinity
y tends to negative infinity as x tends to negative infinity
End behavior;
y → ∞ as x → ∞
y → -∞ as x → -∞
(b) The polynomial function can be expressed as follows;
y = -8·x⁴ + 13·x + 800
The above polynomial of degree 4 is an even degree polynomial
The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative
The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;
y-values approaches negative infinity as x approaches negative infinity
y-values approaches negative infinity as x approaches positive infinity
End behavior;
y → -∞ as x → -∞
y → -∞ as x → ∞
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At the bookstore near Martha's home, hardcover books cost 21 dollars. The cost of a paperback book is only 4/7 of the cost of a hardcover book. How many dollars will Martha have to pay for one paperback book?
Answer:
The cost of the paper book= $12
Step-by-step explanation:
Hardcover books costs $21
But paper book cost only a fraction of the hardcover book.
The paper book cost 4/7 of the hardcover book.
The cost of paper book= 4/7* paper book
The cost of paper book = 4/7*$21
The cost of the paper book= 4*3
The cost of the paper book= $12
COMBINE LIKE TERM AND SOLVE FOR X
3.3x-26.4-x=1.2
Answer:
X=12
Step-by-step explanation:
The difference of -10 and the product of p and q
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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Find value of Xand BD
In picture
The value of x and line BD are 2.4 and 31.6
What is parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Since the opposite sides of parallelogram are equal , AB = DC
13x-20 = 2x+6
13x -2x = 6+20
11x= 26
x = 26/11 = 2 4/11 = 2.4
BD = 2( 5x+4)
= 2(5 × 26/11 +4)
2( 130/11+4)
= 260/11 +8
= 31.6
therefore the values of x and BD are 2.4 and 31.6
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Which graph is growing at a slower rate?
graph a or b
Answer:
B.
Step-by-step explanation:
The graph of b is a linear graph, meaning it's value will increase at the same rate. The graph of a, however, appears to be exponential. This means that a will increase at a rapidly higher rate that b over time. You can also tell by just looking. You can see graph a has overtaken b in the same amount of time.
please help me out with my geometry i need to pass my class :)
The required measure of the mAD is given as 138°.
Following the property, of the angle subtended by chords,
∠B = ∠C
11x - 9 = 8x + 15
11x - 8x = 15 + 9
4x = 24
x = 7
mAD = 2∠C
= 2(8 *7 + 15)
= 2(69)
= 138
Thus, the required measure of the mAD is given as 138°.
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Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below. A box plot titled Professional Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 2 to 10, and the box ranges from 3 to 8. A line divides the box at 4. Professional Call Length in Minutes A box plot titled Personal Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 1 to 11, and the box ranges from 4 to 6. A line divides the box at 5. Personal Call Length in Minutes Which is an accurate comparison of the two data sets? Time spent on professional calls is typically shorter and more consistent than time spent on personal calls. Time spent on professional calls is typically shorter but less consistent than time spent on personal calls. Time spent on professional calls is typically longer but more consistent than time spent on personal calls. Time spent on professional calls is typically longer and less consistent than time spent on personal calls.
Answer:
D
Step-by-step explanation:
i did it
Answer:
A. Time spent on professional calls is typically shorter and more consistent than time spent on personal calls.
Step-by-step explanation:
E D G E N U I T Y 2020
What is the distance between the points (2, -3) and (-6, 4) on the coordinate
plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units
Answer:
C) 10.63 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:
\(d=\sqrt{(-6-2)^2+(4-(-3))^2}\)
Simplify:
\(d=\sqrt{(-8)^2+(7)^2}\)
Evaluate:
\(d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}\)
Our answer is C.
select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!!
Answer:
15/16
Step-by-step explanation:
For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.
Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.
The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__
Additional comment
The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.
As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.
Question
Henry has collected data to find that the
typing speeds for the students in a typing
class has a normal distribution. What is the
probability that a randomly selected student
has a typing speed of less than 51 words per
minute if the mean (u) is 47 words per
minute and the standard deviation (o) is 4
words per minute? Use the empirical rule.
• Provide the final answer as a percent.
Provide your answer below:
%
The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%
How to use empirical formula in statistics?The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.
The formula for z-score is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
x' = 51
μ = 47
σ = 4
Thus;
z = (51 - 47)/4
z = 1
From empirical formula at 1 standard deviation above the means, the probability is 68%.
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According to the manufacturer, about 14% of candy-coated milk chocolates in a package of Charlie's Chocolates are yellow. What is the probability that the first yellow candy chosen from the bag will be, at least, the fourth candy chosen overall?
A. 0.0890
B. 0.3639
C. 0.4530
D. 0.6361
E. 0.9190
Part C: Mr. Chin wants to add a rectangular desk that is 7 feet wide by 5 feet long. He says
he has enough space in the reading room to add the desk. Do you agree with Mr. Chin's
conjecture? Why or why not? Explain.
Not agree with the Mr. Chin's conjecture, because there may be space for the desk in the room but Mr. Chin not have the actual measurement, it may or may not fit the desk in room of given length and width.
What is conjecture?A good guess or an idea about a pattern is a conjecture. Speculate (about something) We can only speculate about the killer's thoughts. speculate that... He speculated that the population might double within a decade. speculate about something She speculated about the existence of a brand-new species.
A mathematical assertion that has not yet been thoroughly established is known as a conjecture. When one observes a pattern that is consistent across many cases, speculations result. However, just because a pattern applies to a lot of cases does not mean that it applies to all of them. To fully accept the mathematical observation, conjectures must be demonstrated. A theorem is formed when a conjecture is thoroughly demonstrated.
A crucial step in solving a problem is making a guess; It's more than just a tool for professionals in math. It is extremely uncommon for a problem's solution to be immediately apparent in everyday problem solving. Instead, the process of solving problems involves looking at the problem structure, looking at the cases, making a guess about the solution, and then proving that guess.
Hence, not agree with Mr. Chin's conjecture.
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Which of the following could be the equation of a line parallel to the line y =4
Answer:
Since slope of line y = 0 and y = 4
Step-by-step explanation:
Given:
y = 4
Computation:
Equation of slope;
y = ax + c
So,
y = (a)(0) + 4
Since slope of line y = 0 and y = 4
Answer:
y=0
Step-by-step explanation:
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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What is the solution of x = 1.5
Answer:
Y - X = 1.5
Step-by-step explanation:
Y = 3
X = 1.5