Answer:
18 ÷ 2/3 = 27
-5/6 ÷ 9/10 = -0.925
How do you find the equation of a line given the slope and passing through a given point?.
The equation of a line is typically written as y = MX + b where m is the slope and b is the y-intercept.
First of all, remember what the equation of a line is:
y = MX + b
Where:
m is the slope, and b is the y-interceptTo start, you know what m is; it's just the slope, which you said was. So, you can right away fill in the equation for a line somewhat to read:
Y = x + b.
Now, what about b, the y-intercept?
To find b, think about what your (x, y) point means:
(,). When x of the line is, y of the line must be.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (,).
So, why not plug in for x the number and for y the number This will allow us to solve for b for the particular line that passes through the point you gave.
In arithmetic, the slope or gradient of a line is various that describes each direction and the steepness of the line. The slope is regularly denoted through the way of the letter m; there may be no clear way to question why the letter m is used for slope, however, its earliest use in English seems in O'Brien (1844) who wrote the equation of a straightaway line as "y = MX + b" and it is able to additionally be decided in Todhunter (1888) who wrote it as "y = MX + c".
The slope is calculated by locating the ratio of the "vertical exchange" to the "horizontal alternate" amongst (any) two incredible elements on a line. on occasion the ratio is expressed as a quotient ("upward push over run"), giving an equally extensive range for each first-rate point on the same line. A line that is reducing has a terrible "upward thrust". the line can be sensible – as set with the aid of a street surveyor, or in a diagram that fashions a road or a roof either as a definition or as a plan.
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Can someone please help me find the perimeter??
Answer: I got you
The answer is 2,160
Step-by-step explanation: I multiplied
Answer:
5) Perimeter = 41 ft
Step-by-step explanation:
Now we have to,
→ find the perimeter of triangle.
Formula we use,
→ P = a + b + c
Then the perimeter will be,
→ a + b + c
→ 8 + 15 + 18
→ 41 ft
Hence, the perimeter is 41 ft.
So like can someone please assist me
Which expression
O 5√10+4√10
O 5 10+4 10
O 5√10+410
O 510+4 10
DONE
equals
93/10 ?
The expression that equals to 9[tex]\sqrt[3]{10}[/tex] is 5[tex]\sqrt[3]{10}[/tex] + 4[tex]\sqrt[3]{10}[/tex] so option 2 is correct.
Given expression:
Second option:
= 5[tex]\sqrt[3]{10}[/tex] + 4[tex]\sqrt[3]{10}[/tex]
Take cube root 10 as common
= [tex]\sqrt[3]{10}[/tex](5+4)
= ∛10(9)
= ∛10*9
= 9∛10.
which is equal to given expression.
Therefore the expression that equals to 9[tex]\sqrt[3]{10}[/tex] is 5[tex]\sqrt[3]{10}[/tex] + 4[tex]\sqrt[3]{10}[/tex] so option 2 is correct.
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if in a repeated measures design, extremely low scores improve over time (or extremely high scores decrease over time), which threat to internal validity should we be worried about?
"Statistical regression" should be regarded as a threat to internal validity if extremely low scores in a repeated measures design increase over time.
Define the term Statistical regression?Regression is a statistical technique used in the fields of finance, investing, as well as other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (called as independent variables).
The goal of statistical regression is to find the line that will fit all of the dots on the graph the closest.A line of best fit indicates however much Y varies with each change in X and is often referred to as the slope. Regression is the method that enables "going back" from muddled, challenging data to a clearer and so more significant model in this manner.Thus, statistical regression poses a danger to internal validity if extremely low scores in a multiple regression design rise over time (or exceptionally high scores fall over time).
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Which graph represents the function f/x StartFraction 1 over X EndFraction minus 1 Brainly?.
The given function is f(x) = 1/x - 1, with x and y intersecting (1,0) and the graph is attached below.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
The given function is f(x) = 1/x - 1
f(x) = 1-x / x
Now put x = 0 to get the y-intercept
f(x) = ∞
It doesn't touch y-axis.
Putting f(x) = 0
1-x /x = 0
⇒1-x = 0
⇒x = 1
So the x-intercept is 1.
Hence, is f(x) = 1/x - 1, with x and y intersecting (1,0) and the graph is attached below.
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What are the 2 angles formed when a parallel lines cut by a transversal?.
Total 8 angles are formed when parallel lines are cut by a transversal.There relationships are mentioned below.
When two lines don't intersect, they are said to be parallel. Parallel lines are two lines that run parallel to each other and meet at infinity.
A transversal is formed when a line intersects two lines at distinct points.
When a transversal intersects two or more parallel lines, various angle pairs are formed. As shown in the figure below, a and d are two parallel lines intersected by the transversal l at the points P and Q.
When a pair of parallel lines is transversally cut, 8 angles are formed, as shown in the figure.
The relationship between the angles are:
pair of angles was formed. Relationships between angles
Corresponding angle pairs. ∠1 = ∠6, ∠4 = ∠8, ∠2 = ∠5, ∠3 = ∠7
Alternate interior angles pairs. ∠4 = ∠5, ∠3 = ∠6
Alternate exterior angle pairs. ∠1 = ∠7, ∠2 = ∠8
Interior angle pairs that are on ∠3 + ∠5 = 180°, ∠4 + ∠6 = 180°
same side of the transversal .
Vertically opposite angle pairs. ∠7 = ∠6, ∠8 = ∠5, ∠1 = ∠3, ∠2 = ∠4,
Thus, total 8 angles are formed when parallel lines are cut by a transversal
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Line X Y is a secant to the larger circle and is tangent to the smaller circle at point Q. The radius of the
smaller circle is 7 and the radius of the larger circle is 9. What is the length of chord XY?
Check the picture below.
so the chord we see in the picture in "green", has a length of XQ + QY, now, we can just use the pythagorean theorem to get the length of XQ, keeping in mind that the point of tangency at Q is always a right-angle, and thus that means that XQ = QY, so whatever the green chord is, is just really 2 * XQ.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{9}\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{XQ}\\ \end{cases} \implies \sqrt{9^2 - 7^2}=XQ \\\\\\ \sqrt{32}=XQ\implies 4\sqrt{2}=XQ\hspace{5em} \underset{\textit{\LARGE XY}}{\stackrel{(2)4\sqrt{2}}{{\Large \begin{array}{llll} 8\sqrt{2}\approx 11.31 \end{array}}}}[/tex]
Answer:
[tex]8\sqrt{x} 2 - 11.31\\[/tex]
The null hypothesis claims that the proportion of community college students who work full-time is 0. 45. The alternative hypothesis is that this proportion is greater than 0. 45. Which gives the most convincing evidence against this null hypothesis and in support of the alternative?
The stronger the evidence is against the null hypothesis, the higher the divergence from it.
What do you mean by null hypothesis ?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is [tex]H_{0}[/tex]. To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis,
The null hypothesis states that the percentage of the population who works full time is 0.45.
As a result, 450 persons who are randomly selected from a population of 1000 work full-time.
A different hypothesis states that the ratio is higher than 0.45.
In the options provided, the proportion for the first option is 300/1000, or 0.3.
In the second choice, 500/1000 equals 0.5
Third alternative: 700/1000 = 0.7
Therefore, the stronger the evidence is against the null hypothesis, the higher the divergence from it.
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Emergency Medicine. At a certain Emergency Room (ER), assume the number of ER admissions per day can be modeled by a Poisson distribution. On weekdays (Monday-Friday) they make an average of 100 admissions per day and 150 admissions per day on weekends (Saturday-Sunday).
(a) What is their expected number of ER admissions per week?
(b) What is the probability they will make 800 or more ER admissions during a typical week?
a)The expected number of ER admissions per week is 800.
b)The probability they will make 800 or more ER admissions during a typical week is 1.
We have given that on average the number of admission on weekdays is 100
So, in five days number of admission are =5×100=500
Now, in weekend we have given that 150 admissions comes per day
So, in two days number of admission are =2×150=300
So, Total number of admissions =500+300=800 admissions.
b)We can see that total number of admissions are 800 on average, so it is the average number of admissions.
Here, we can see that this is the event of 100% occurrence. There are no chances of failure.
So, maximum probability of getting 800 or more ER admissions is 1.
Hence, a)ER admissions are 800 b)The probability of 800 or more admission is 1.
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Point-lope form for the line that pae through the point (1, –1) and ha a lope of 4
you have decided to award a 10% discount to a valuable customer and in d2 you want to calculate the discount amount that will appear on their monthly invoices.
The formula to calculate the discount in cell D2 of worksheet will be D2-(D1*0.10).
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). Rather than being stated as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Here,
Since we have to give 10% discount,
=D2-(D1*0.10)
D2-(D1*0.10) is the formula to calculate the discount in cell D2 of the worksheet.
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Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams? round your final answer to the nearest tenth.
Angle of elevation in degrees is [tex]28.1[/tex]° .
Define angle of elevation.
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
According to the question ,
Roof shape = isosceles triangle
base length = 30 m
and two sides each = 17 m.
Let it be in the middle ,such that the two 17 m beams will have the same angle of elevation .
Now , we have to find the angle of elevation such that we can split the roof in half vertically to create a right angled triangle.
The base will now be 15 m, and the hypotenuse will be 17.
Therefore we use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.
Now ,by trignometric formulas :
[tex]cos([/tex]Ф[tex])[/tex][tex]= \frac{adjacent side }{hypotenuse}[/tex]
[tex]cos([/tex]Ф[tex])=\frac{15}{17}[/tex]
Ф=cos inverse of [tex]\frac{15}{17}[/tex]
Ф[tex]= 28.1[/tex]°
Hence the angle is 28.1° .
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In a particular hop employee are given a 12. 5% dicount on any item they purchae. Calculate the actual price an employee would pay for each of the following
1200
The actual price an employee would pay for 1200 is 1050.
Given:
In a particular shop employee are given a 12. 5% discount on any item they purchase.
Let x be the actual price.
= 1200*12.5%
= 1200*12.5/100
= 1200*125/1000
= 12*125/10
= 12*25/2
= 6*25
= 150
Actual price x = 1200 - 150
= 1050
Therefore The actual price an employee would pay for 1200 is 1050.
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What 2 facts can you double to find 8 * 4?.
The two facts that we can double to find 8 × 4 is (4 and 4) .
The Double Facts are the number that repeat two time .
For Example : 2 × 2 , 4 + 4 .
The two facts of a number that is doubled is represented as :
2 * b = c
the value of c is given as 8*4 = 32 .
2 * b = 32
dividing both sides of the equation 2 * b = 32 by 2 , we get
b = 32/2 ,
Simplifying further ,
we get ,
b = 16 .
which in double can be written as 4 × 4 ,
that means 2(4×4) = 2(16) = 32 .
Therefore , The two facts that we can double to find 8 × 4 is 4 and 4 .
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At Zeke's Karate, there are 5 times as many youth students as adult students taking classes this session.
Pick the diagram that models the ratio in the story.
If there are 72 more youth students than adult students this session, how many students are taking classes at Zeke's Karate altogether?
The number of students taking classes at Zeke's Karate altogether is 108 students.
Given that, at Zeke's Karate, there are 5 times as many youth students as adult students taking classes this session.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The ratio of youth students to adult students is x:5x.
If there are 72 more youth students than adult students this session
So, 5x=x+72
⇒ 5x-x=72
⇒ 4x=72
⇒ x=18
Now, 5x=5×18 =90
Total students = 18+90=108
Therefore, the number of students taking classes at Zeke's Karate altogether is 108 students.
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If 6 men. 8 women and 16 boys together can do a piece of work in 288 days by working 6 hours each day in how many days can 12 men, 18 women and 28 boys complete the same
The number of days taken by 12 men, 18 women and 28 boys is 108 days.
Here we have to find the number of days required to do the work by 12 men, 18 women, and 28 boys in 8 hours.
It is given that 6 men, 8 women, and 16 boys together can do a work in 288 days working 6 hours.
The ratio of efficiency of men, women, and boys is 3:2:1.
Let d be the number of days taken by 12 men, 18 women, and 28 boys.
Work done formula:
Work done = number of people × efficiency × number of days
Let us assume that the number of days taken by 12 men, 18 women and 28 boys be d.
So from this, we have:
(6× 3 + 8× 2 + 16×1) 288 × 6 = ( 12×3 + 18×2 + 28×1) d × 8
( 18 + 16 + 16) 288 × 6 = ( 36 + 36 + 28) d× 8
50 × 288 × 6 = 100 × 8 × d
d = 108
Therefore the number of days taken is 108 days.
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The complete question is:
if 6 men. 8 women and 16 boys together can do a piece of work in 288 days by working 6 hours each day how many days can 12 men, 18 women, and 28 boys complete the same & work by working 8 hours each day? The work efficiency of men, women, and boys proportion 3:2:1 respectively.
Coach salinas wants to compare the kicking statistics for kickers on their team. Which 222 ways could coach salinas find the kicker with the greatest goal success rate? choose 2 answers: choose 2 answers:.
Coach Salinas has to find the kicker with the best goal-scoring percentage. The correct answers are identify the kicker with the greatest degree of precision and find the player that scores the most field goals per game.
The process of obtaining data for statistical analysis, inference, and conclusion-making is known as data collection.
Several crucial aspects of statistics include:
The great majority of data in statistics is numerical.
Statistical data can be used to make predictions about the future.
They are also used to make decisions.
For instance, soccer player statistics data, such as the ratio of goals to games, the number of completed dribbles per game, the maximum number of take-ons, the number of tackles, or the number of interceptions per game, can be used to decide which player to buy for a football.
To find the kicker with the highest goal success rate, Coach Salinas in the scenario supplied wants to examine the kicking statistics of their team's kickers.
For this, Coach Salinas ought to do the following actions:
the most accurate kicker to find
Identify the kicker who scores the most field goals per game.
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an unbiased sample that is a good depiction of the population as a whole is a____sample. environmental unit 1 test
An unbiased sample that is a good depiction of the population as a whole is a representative sample
A representative sample is what?
A subset of a population is referred to as a "representative sample" when it aims to correctly reflect the traits of the broader group.The following characteristics must be present for the sample plan to accurately reflect the population: One of the key characteristics of item control is the evaluation of assessment by components, which contains methods for deciding on the aura of numerous individual units based on test estimations of units on the quality trademark being examined.
Consequently, the representative sample is an objective sample that accurately portrays the population as a whole.
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the speed of a runner increased steadily during the first three seconds of a race. her speed at half-second intervals is given in the table. find lower and upper estimates for the distance that she traveled during these three seconds. ft (smaller value) ft (larger value) t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.7 9.2 14.1 17.5 19.4 20
The lower limit that she traveled in three second is 33.45 feet and the upper limit that she traveled in three second is 43.45 feet
The speed of a runner increased steadily during the first three seconds of a race
Therefore the time = 3 seconds
Her speed at half-second intervals is given in the table
We know,
Speed = Distance / Time
Similarly
Distance = Speed × Time
Δt = 0.5 seconds
Then the lower limit of total distance traveled = 0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4)
Add the terms and multiply it
= 0.5 × 66.9
= 33.45 feet
The upper limit of total distance traveled = 0.5( 6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)
= 0.5 × 86.9
= 43.45 feet
Hence, the lower limit that she traveled in three second is 33.45 feet and the upper limit that she traveled in three second is 43.45 feet
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Use The Power Reduction Formulas To Rewrite The Expression. (Hint: Your Answer Should Not Contain Any Exponents Greater Than 1.) Cos2(7x)
The expression will become cos²(7x) = [tex]\frac{1}{2}[/tex](1 + cos14x).
Power reduction formulas like double angle and half angle formula are used to simplify the calculations requires to solve a given expression.
Power reduction formulas allow us to reduce the power on one of the trigonometric functions when the power is an even integer.
The trigonometric power reduction identities allow us to rewrite expressions involving trigonometric terms with trigonometric terms of smaller powers.
The power reduction formula is
cos²θ = [tex]\frac{1}{2}[/tex](1 + cos2θ)
sin²θ =[tex]\frac{1}{2}[/tex](1 - cos2θ)
For the given equation we will use cosine formula.
Therefore
cos²(7x) = [tex]\frac{1}{2}[/tex](1 + cos2(7x))
cos²(7x) = [tex]\frac{1}{2}[/tex](1 + cos14x).
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Bridget purchased 3 pairs of shoes online. The total bill of $126. 81 included a $7. 50 shipping charge and 6% tax on the total purchase. If the shoes that bridget purchased were all priced the same, how much did each pair of shoes cost? a. $37. 52 b. $39. 77 c. $42. 42 d. $112. 56 please select the best answer from the choices provided a b c d.
If the shoes that bridget purchased were all priced the same, each pair of shoes cost $37.52
Bridget purchased 3 pairs of shoes online.
The total bill of $126. 81 included a $7. 50 shipping charge and 6% tax on the total purchase
tax = 6% of x
= 3(6/100) x = 0.18x
x - the price of each pair of shoes;
3 x + 7.50 + 0.06 * 3 x = 126.81
3 x + 0.18 x + 7.50 = 126.81
3.18 x = 126.81 - 7.50
3.18 x = 119.31
x = 119.31 : 3.18
x = 37.52
Therefore, If the shoes that bridget purchased were all priced the same, each pair of shoes cost $37.52.
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ABC is a triangle.
ADC is a straight line with BD perpendicular to AC.
AB= 7 cm.
BC= 12 cm.
Angle BAD= 65°.
Calculate the length of AC.
Give your answer correct to 3 significant figures.
The length of segment AC is given by the law of sines and trigonometric ratios as; 11.3 cm.
What is the law of sines?The law of sines states that in a triangle, the ratio of the sine of an interior angle of a triangle to the length of the side opposite the angle is constant.
The given parameters are;
The figure ABC is a triangle
The figure ADC is a straight line segment
The Segment BD is perpendicular to segment AC
The length of segment AB = 7 cm
Length of segment BC = 12 cm
The measure Angle BAD= 65°
By the Definition of segment BD being perpendicular to segment AC
BAC = 90 - 65 = 25
Using the law of sines, we have;
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
A vertex of the triangle from the question is point B that gives;
AD = 7 × sin(65°) = 4√3
Similarly,
[tex]\dfrac{sin\angle 25}{12} = \dfrac{sin\angle B}{7}[/tex]
Therefore, AC = 7√2 ≈ 11.3
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Graph the image of rectangle JKLM after a rotation 180° counterclockwise around the origin.
Refer to the attachment for graph:
What is rotation ?
The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.
An object moving in a circle around its center is said to as rotating. Rotation can occur in a variety of ways. Earth's rotative motion
During 180° rotation about origin,
the x and y coordinates changes to their negative values.
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1) determine the intervals on which the function is concave upward and concave downward. 2) determine the x-coordinates of any inflection point(s) in the graph.
The function f(x) = x(x+4√x) is concave down on (0, 9/4) and concave up or (9/4, ∞)
According to the question,
Given equation is f(x) = x(x+4√x)
f(x) = [tex]x^2 + 4x^{\frac{3}{2}}[/tex]
Derivative the function with respect to x
f'(x) = 2x - 6√x
Derivative the function again ,
f''(x) = 2 - 3/√x
Domain of f(x): x ≥ 0.
Let f''(x) = 0
Putting f"(x) = 0,
2x1/2 = 3
=> x = 9/4
f'(x) Doesn't exist for x = 0 and at x = 0
we have not inflection point, because x < 0 not in domain.
For 0 <x< 9/4,
f''(x) < 0 and graph concave down or (0, 9/4)
For x > 9/4 f''(x) > 0 and graph concave up or (9/4, ∞)
f(9/4) = -135/16. So, point (9/4, -135/16) is point of inflection
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Decide whether f (x) =9x^4+8x^3-6x^-2+2x is a polynomial function. If the function is a polynomial function, write it in standard form and state its degree, type and leading coefficient. If not, leave each response blank.leading coefficient: ___
No, f (x) =9x^4+8x^3-6x^-2+2x is not a polynomial function.
We can define the polynomial function that are expressed in the form of polynomial. it must involves only non-negative integer powers or only positive integer exponents. The highest power of polynomial function is known as its degree. Domain of polynomial function is entire real numbers(R).
P(x) =[tex]a_{n}[/tex] [tex]x^{n}[/tex] + [tex]a_{n-1}[/tex] [tex]x^{n-1}[/tex]+.……….…+[tex]a_{2}[/tex][tex]x^{2}[/tex] +[tex]a_{1}x[/tex] +[tex]a_{0}[/tex],
The function having power in the form of fraction, negative integer or having division in function will not be called as polynomial function.
From the question, we know that,
f (x) =9x^4+8x^3-6x^-2+2x
coefficient of 9 has power 4,
coefficient of 8 has power 3
coefficient of 6 has negative power -2
coefficient of 2 has power 1
but it is not a polynomial function because coefficient of 6 has negative power -2.
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Beginning at 12:00 midnight, a computer center is up for one hour and then down for two hours on a regular cycle. A person who is unaware of this schedule dials the center at a random time between 12:00 midnight and 5:00 A.M. What is the probability that the center is up when the person’s call comes in?
The probability that the center is up when the person’s call comes in is 2/5
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Let us consider a random variable Y it presents the number of person’s call comes when center is up. Beginning at 12:00 midnight, a computer center is up for 1 hour and then down for 2 hours on a regular cycle.
We need to find the probability that the center is up when the person’s call comes in.
Let 12:00 midnight be ‘a = 0’, then we will have ‘b = 5’, therefore f(y) = 1/5
For beginning of a = 0, the computer is up for 1 hour, so P(0<Y<1)
The computer is down for 2 hours and then up for another one hour, so P(3<Y<4)
Hence,
The probability that the center is up when the person’s call comes in is given by:
P(0<Y<1) + P(3<Y<4) = ∫f(y) dy + ∫f(y) dy
= (1/5)y + (1/5)y
= (1/5)((1-0)+(4-3))
= 2/5
Therefore, The probability that the center is up when the person’s call comes in is 2/5
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Is aas a valid triangle congruence theorem?.
Yes, AAS Theorem is a valid theorem for congruency when used along with two more theorems to prove congruency of triangles.
AAS Theorem states if two angles of a triangle and the non included side in the angles are congruent to the corresponding two angles and the non included side in the two angles of the second triangle. Then the triangles are similar.
The AAS Theorem is valid for congruency of triangles if it follows the above given conditions along with the fact that two more theorems such as SSS or AAA.
As congruency in triangles is the condition in which both the given triangles are proven to be of the same shape and size.
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Assume you flip a coin 80 times, and calculate that it has a sample mean of 0. 56, a 90% confidence interval of [0. 61, 0. 521, and a 99% confidence interval of [0. 63, 0. 49]. What can you conclude?
The coin is not fair with certainty p<0.1 but not p<0.1.
What is the sample mean?
The mean value of a sample of data calculated from a large population of data is referred to as the Sample Mean. If the sample size is large and the statistical researchers randomly select fragments from the population, it is an effective tool for determining the population mean.
We have,
sample size, n = 80
the sample mean p = 0.56
90% confidence interval [0. 61, 0. 52],
99% confidence interval of [0. 63, 0. 49].
for a fair coin mean should be of 0.5
population mean = 0.5 for a fair coin
from both the confidence interval, it is clear that 0.5 is within the 99% interval, whereas 0.5 is outside the 90% confidence interval.
[i.e 0.5 ∈ [0. 61, 0. 52], 0.5 ∉ [0. 61, 0. 52] ]
Hence, the coin is fair as per a 99% confidence level and unfair as per 90% confidence level.
Therefore, the coin is not fair with certainty p<0.1 but not p<0.1.
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In which quadrants do solutions for the inequality y is less than or equal to two thirds times x minus 4 exist?.
I, III, and IV quadrants.
What do the four graph quadrants represent?
The x and y and y-coordinates are both positive in quadrant I. X and Y coordinates in quadrant II are opposite one other. X and Y coordinates are both positive in quadrant III. In quadrant IV, the x-coordinate and y-coordinate are both positive.
Why are the first and third quadrants used?
Typically, we assume that after a projection is made on the horizontal plane, it spins clockwise. We employ first angle and third angle projection for this purpose. Because only within these two quadrants will we receive both viewpoints following the horizontal plane's clockwise rotation.
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Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
What do the four graph quadrants represent?
In quadrant I, the x and y coordinates are both positive. In quadrant II, the X and Y coordinates are orthogonal. In quadrant III, both the X and Y coordinates are positive. The x- and y-coordinates are both positive in quadrant IV.
What is the inequality's y-intercept?
Inequality y image result
Any straight-line's equation, known as a linear equation, can be written as y = mx + b,
Where m is the slope of the line and b is the y-intercept.
This line's y-intercept is the value of y at the point where the line intersects the y-axis.
Why are the first and third quadrants used?We usually assume that after a horizontal plane projection, it spins clockwise. For this, we use first and third-angle projections. Because only within these two quadrants will we receive both viewpoints after the horizontal plane rotates clockwise.
Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
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Is triangle ABC obtuse-angled?.
