The Correct option Will be An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem i.e. A.
What exactly is probability?The likelihood of an event is expressed by probability. The occurrence of a random event is the subject of this mathematical field of study. The value is between zero and one. In mathematics, probability is a tool for calculating the likelihood that certain events will take place.
Probability is the possibility of something happening. The probability distribution also makes use of this central concept in probability theory. We must first ascertain the total number of possibilities before calculating the likelihood that a specific event will occur.
What does it mean when an event is unusual or out of the ordinary?When something unusual happens, it does not happen frequently in terms of sight or sound.
The probability that an event will occur P(E) = the number of positive outcomes divided by the total number of outcomes.
Now,
As an unusual event has low probability because it does not happen often and The same cutoff should not be used to detect unexpected events all of the time. Choosing a cutoff is subjective, and it should consider the repercussions of erroneously labelling an occurrence as rare.
Hence,
An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem.
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The area of a rectangular window is 4234 cm².
If the length of the window is 73 cm, what is its width?
Answer:
58
Step-by-step explanation:
4234 = 73x divide by 73 on both sides and x=58
Please help! I don't understand how my teacher does the work, so therefore, I don't understand how to do these word problems. 100-point jackpot for answering.
Answer: 1) 4 $3 and 4 $2; 2) 4 candles; 3) 4 adults and 6 students; 4) Small is 11.67 and Large is 83.75
Step-by-step explanation: 1. Total of $20 and needs 9 donuts. One is $3 and one is $2. Start with 3 $3 that 9 and let's do 3 for $2 which is 6. 9+6 is $15. 20-15 is 5. We have $5 left so we can buy in total 4 $3 donuts and 4 $2 donuts.
2. She has to make at least 4 candles. Booth is $40. And $2 per candle. 4*2 is $8. 40+8 = 48 and 48/12 is 4 candles.
3. They have a total of 120 sold. So let's start with adult tickets: $15 each. So let's start with 4 sold. 15*4 = 60. Students: $10 each. 10*4 is $40. 60+40 is 100 sold! So let's do 2 more student tickets to get 120 sold. 4 adults sold and 6 students sold.
4. Let's work with 6 and 8 you set up the equation 6x+8y=670 you get x = 11.67 and y is 83.75. So the large price is $83.75 and the Small is $11.67
graphing systems of equations
graph equation and state the solution (the point where they intersect)
pls pls pls help i’m ripping my hair off trying to solve this
The system of linear equations represented in the graph have (b) ne solution at (-3, 1)
How to determine the number of solutionsFrom the question, we have the following parameters that can be used in our computation:
0 = y - x - 4
3y + 9 = -4x
The above system represents two linear functions
The point of intersection of the linear functions represent the solution
In this case, the linear functions intersect at (-3, 1)
See attachment for graph
Hence, it has one solution at (-3, 1)
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which equations for the measures of the unknown angles x and y are correct? check all that apply.(a) x=cos−1(a/c)x=cos−1(a/c)(b) x=sin−1(c/b)x=sin−1(c/b)(c) x=tan−1(c/a)x=tan−1(c/a)(d) y=sin−1(a/c)y=sin−1(a/c)(e)y=cos−1(c/b)y=cos−1(c/b)
The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Sin θ = Opposite Side to θ/Hypotenuse
Cos θ = Adjacent Side to θ/Hypotenuse
Tan θ = Opposite Side/Adjacent Side
Cot θ = Adjacent Side/Opposite Side
Sec θ = Hypotenuse/Adjacent Side
Cosec θ = Hypotenuse/Opposite Side
where, Hypotenuse (the longest side), Perpendicular (opposite side to the angle), Base (Adjacent side to the angle)
The inverse ratios start with the ratio and then find the angle that produces this ratio.
(a) x=cos−1(a/c)
(b) x=sin−1(c/b)
(c) x=tan−1(c/a)
(d) y=sin−1(a/c)
(e)y=cos−1(c/b)
The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).
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On the windowsill is a plant that is 3 inches tall. It is growing 4 inches per week. A second plant, which is 17 inches tall, is on the coffee table. It is growing 2 inches per week. Eventually the two plants will be the same height. How many weeks will that take? How tall will the plants be?
The two plants would have the same height in 7 weeks and the height would be 31 inches.
When would the plants have the same height?The form of the expression that represents the length of the plant on the window sill is:
initial length + (length of growth per week x number of weeks)
3 + (4 x w)
3 + 4w
The form of the expression that represents the length of the plant on the coffee table is:
initial length + (length of growth per week x number of weeks)
17 + (2 x w)
17 + 2w
When the two plants have the same height, the two expressions would be equal:
17 + 2w = 3 + 4w
17 - 3 = 4w - 2w
14 = 2w
w = 14/2
w = 7 weeks
Height of the plant = 3 + 4(7)
3 + 28 = 31 inches
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Need some helppp on this question will give 20 points
[tex]\cfrac{\sqrt[3]{27xy^3}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{\sqrt[3]{3^3 xy^3}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{(3^3 xy^3)^{\frac{1}{3}}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{3^{3\cdot \frac{1}{3}}x^{\frac{1}{3}}y^{3\cdot \frac{1}{3}}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{3x^{\frac{1}{3}}y}{5x^{\frac{4}{3}}y^2}[/tex]
[tex]\cfrac{3}{5}\cdot \cfrac{x^{\frac{1}{3}}y}{x^{\frac{4}{3}}y^2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}}yx^{-\frac{4}{3}}y^{-2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}}x^{-\frac{4}{3}}yy^{-2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}-\frac{4}{3}} y^{1-2} \\\\\\ ~\hfill {\Large \begin{array}{llll} \stackrel{a ~~~~ b ~~ ~~ c}{0.6 x^{-1}y^{-1}} \end{array}}~\hfill[/tex]
Ryan purchased 3 ties and 4 shirts for $500 Earl purchased 6 ties and 7 shirts at the same store for $920.00. What is the total cost of 1 tie and 1 shirt .? Show working
Ryan purchased 3 ties and 4 shirts for $500 Earl purchased 6 ties and 7 shirts at the same store for $920.00 then the total cost of 1 tie and 1 shirt is $153.33.
What is system of equations?
A system of equations is a set of two or more equations that are solved simultaneously to find the values of the variables that satisfy all the equations in the system. The solution of the system is the set of values of the variables that satisfy all the equations. There are different methods to solve a system of equations, such as substitution, elimination, and matrix methods.
Let x be the cost of 1 tie and y be the cost of 1 shirt.
From the problem, we can set up a system of equations:
3x + 4y = 500 (equation 1)
6x + 7y = 920 (equation 2)
To solve for x and y, we can use elimination method. Multiply equation 1 by 2 and subtract it from equation 2:
6x + 7y = 920
(6x + 8y = 1000)
-y = -80
Therefore, y = 80. We can substitute y = 80 into equation 1:
3x + 4(80) = 500
Simplifying the equation, we get:
3x = 220
So, x = 220/3 = 73.33 (rounded to two decimal places).
Therefore, the total cost of 1 tie and 1 shirt is $73.33 + $80 = $153.33.
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a plane ticket to baecelona is £175 the price decreased by 6%
how much is it now?
The plane ticket to Barcelona is now £164.50. This is because 6% of £175 is £10.50 and if you subtract £10.50 from £175, it equals £164.50.
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides. center.
The apothem is perpendicular distance from the center of a regular polygon to any one of it sides.
The Apothem is defined as a term that used in geometry to describe a characteristic feature of a regular polygon.
A Regular Polygon is a polygon that has all sides of equal length and all angles of equal measure.
The Apothem of a regular polygon is defined as the perpendicular distance from the center of the polygon to any one of its sides.
The Center of circle is also the center of polygon. So , apothem is the distance from the center of the circle to the midpoint of any side of the polygon .
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The given question is incomplete , the complete question is
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
Lucy thinks of a number.
10 x the number = 10 ÷ the number
Give a possible value of the number.
Answer: 1
Step-by-step explanation: Knowing the division and multiplication rules, any number times one equals itself and any number divided by one equals itself. Make sure not to put 0 as an answer because any number divided by 0 is undefined.
gwen has £7 a litre of cola costs £1.25 gwen buys as much as literes as she can. how much money does she have left?
Gwen has £0.75 money left over, as per linear equation if a litre of cola costs £1.25.
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
It is given that Gwen has a £5 note and a £2 coin.
Therefore, she has a total of £(5 + 2) = £7
A liter of cola costs £1.25.
Therefore, (7 ÷ 1.25) = 5.6
Therefore, Gwen can buy a total of 5 liters of cola.
Now, Gwen has left money of £[7 - (5 × 1.25)] = £0.75
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Complete question is:
Gwen has a £5 note and a £2 coin
a litre of cola cost £1.25
gwen buys as many liter bottles of cola as she can
how much money will she have left over
equation of the blue line?
Answer:
Step-by-step explanation:
y=kx+b
b=3
(1,5)
1*k+3=5
k=2
so, 2x+3=y
Find the sum of (8a + 2b -4) and (3b-5)
The sum of expression is 8a + 5b - 9.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
(8a + 2b -4) and (3b-5)
Now, adding the above expression we get
(8a + 2b -4) + (3b-5)
= 8a + 2b - 4 + 3b - 5
= 8a + 2b + 3b -4 - 5
= 8a + b(2+ 3) - 9
= 8a + b(5) -9
= 8a + 5b - 9
Hence, the simplified expression is 8a + 5b - 9.
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the letter grades (a, b, c, d, f) of business analysis students are recorded by a professor. this variable's classification . a. is time series data b. is categorical data c. is quantitative data d. cannot be determined
The letter grades (A, B, C, D, F) for business analysis students are categories that represent different levels of achievement, so the variable's classification is (b) Categorical Data.
The Categorical data are defined as the variables that represent characteristics or attributes, and they are often expressed as labels or categories.
The Quantitative data, on the other hand, are the numerical values which represent measurements or quantities.
Since the letter grades are not numerical values and do not represent a measurement or quantity, they cannot be classified as quantitative data.
Therefore , the letter grades represents a Categorical Variables .
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The given question is incomplete , the complete question is
The letter grades (A, B, C, D, F) of business analysis students are recorded by a professor. this variable's classification .
(a) is time series data
(b) is categorical data
(c) is quantitative data
(d) cannot be determined
Let f(x) = 3x + 5 and g(x) = 4x - 1. Find (f + g)(x), then evaluate when x = 2.
The resulting sum function if x is equivalent to 2 is 18
Solving composite functionsComposite functions are known as function of a function
Given the following functions
f(x) = 3x + 5 and;
g(x) = 4x - 1.
(f+g)(x) = f(x) + g(x)
(f+g)(x) = 3x + 5 + 4x - 1
(f+g)(x) = 7x + 4
Substitute x = 2 into the result
(f+g)(2) = 7(2) + 4
(f+g)(2) = 18
Hence the value of the sum of the function when x = 2 is 18
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Consider the sequence 7, 3, –1, –5, –9, ... a. What kind of sequence is it? Explain how you know. b. Write a rule t(n) for each term in the sequence, where n is the term number.
The sequence is an arithmetic sequence.
A rule for each term is t(n) = 7 - 4(n - 1).
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged in a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Given sequence is 7, 3, –1, –5, –9, ....
First term = 7
Second term = 7 + -4 = 3
Third term = 7 + (-4 × 2) = -1
....................
Here each term is getting by adding -4 to the preceding term.
So -4 is the common difference.
nth term of the sequence is t(n) = 7 - 4(n - 1).
Hence the sequence is arithmetic sequence and any term of the sequence is t(n) = 7 - 4(n - 1).
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Shawn's retirement party will cost $6 if he invitês 3 guests. If there are 8 guests, how much
will Shawn's retirement party cost? Assume the relationship is directly proportional.
Step-by-step explanation:
Shawns party will cost $16 if there are 8 guest
HELP PLEASE
Which best represents the transformation for the coordinates of the vertices of the given pairs of triangles?
(1, 6), (−1, 3), (5, −2) and
(−1, 6), (−3, 3), (3, −2)
Step-by-step explanation:
what is the difference between the x- values ?
and what is the difference between the y- values ?
a transformation means a simple shift. so, addition of subtraction. no multiplication or such.
1 to -1 ? -2
-1 to -3 ? -2
5 to 3 ? -2
6 to 6 ? 0
3 to 3 ? 0
-2 to -2 ? 0
so, the transformation is (-2, 0)
a basketball player makes 80% of her free throws. what is the standard deviation of the successes from 100 free throws?
Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.
Standard deviation is calculated as follows:
p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8
Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.
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Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.
your daily calorie intake and your GPA
The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.
It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.
If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.
On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.
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QUESTION FOR FOR LIH04
Select all the equations that have 9 as a solution. j + 8 = 72 m × 3 = 27 b + 4 = 13 p – 5 = 4 q ÷ 3 = 27
Select the correct answer.
Which graph shows the solution region of this system of inequalities?
y ≥3(0.8)^x
y ≥ x² - 5
The solution to the inequality are the region in the shaded area and the graph is attached
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y ≥3(0.8)^x
y ≥ x² - 5
Represent properly
y ≥ 3(0.8)^x
y ≥ x² - 5
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)
None of the options represent the shaded area (see attachment)
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PLEASE HELP 20 POINTS
unit 9: transformations homework 1: translations
The translation of a function and coordinates are given below..
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The following functions:
y = x²
y = 2x
The transformation is:
Translate two units to the left.
So,
y = (x - 2)²
y = 2(x - 2)
Translation 5 units up.
y = x² + 5
y = 2x + 5
The following coordinates:
Translate 2 units to the right.
(1, 4) = (1 + 2, 4) = (3, 4)
(5, 8) = (5 + 2, 8) = (7, 8)
Translation 5 units down.
(1, 4) = (1, 4 - 5) = (1, -1)
(5, 8) = (5, 8 - 5) = (5, 3)
Thus,
The translation of a function and coordinates are given above.
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you want to compute a 90% confidence interval for the mean of a population with unknown population standard deviation. the sample size is 30. the value of t* you would use for this interval is
The value of t* would use for this interval is 1.699 to compute a 90% confidence interval.
It is given that the confidence = 90% or 0.9
also, the sample size (n) = 30
The degrees of freedom is the sample size decreased by 1:
df = n - 1
df = 30 - 1
df = 29
The critical value t* can then be found in the row with df = 29 and in the column with c = 90% (or upper tail probability p = 0.05) using table B.
t* = 1.699
The image attached is t* table
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What is 2x times 2x in algebra
Answer: 4x2
Step-by-step explanation:
Answer:
[tex]4x^2[/tex]
Step-by-step explanation:
[tex](2x)(2x)=(2*2)(x*x)=4x^2[/tex]
Determine the occupant load of a one room daycare that is 20' by 30' !
The occupant load of a one room daycare that is 20' by 30' is 17 people.
The occupant load of the daycare room can be determined by using the formula:
Occupant load = Area of room / Occupant load factor
From the case, we know that the area of the room is 20' x 30', then:
Room area = 600 square feet.
The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.
Using the formula, the occupant load of the one room daycare is:
Occupant load = 600 square feet / 35 square feet per person = 17.14 people
Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.
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Howard's pencil is 75 cm long. How many millimeters long is Howard's pencil?
Answer:
Howard's pencil is 750 millimeters
Step-by-step explanation:
[tex]\begin{array}{|l}\underline{km~}\\~~~~~\underline{|hm~}\\~~~~~~~~~~~\underline{|dam}~~~~~~~~\nwarrow~\div10\\~~~~~~~~~~~~~~~~~\underline{|m~~}\\~~~~~~~~~~\searrow~~~~~~~\underline{|dm~}\\~~~\times10~~~~~~~~~~~~~~~~~~\underline{|cm~}\\\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|mm~}\end{array}\\~~~~~~~~~~~\rm Converting ~Length ~ Unit[/tex][tex]~[/tex]
Step-by-step:
75 cm = 75 × 10 mm
75 cm = 750 mm
Please help thank you
The tension forces are 1895 N and 2542 N.
What is the tension in the ropes?
Tension force is a type of force that results from the stretching or pulling of an object, such as a rope, cable, or string. When an object is under tension, it experiences a force that acts along its length, pulling it apart
We know that the third angle in the triangle that is formed is;
180 - [35 + 48]
= 97 degrees
We then have the tension in the ropes as T1 and T2
Using the sine rule;
T1/sin 35 = 3275/sin97
sin97T1 = 3275 sin 35
T1 = 3275 sin 35/sin97
T1 = 1895 N
For T2
T2/sin48 = 3275/sin97
sin97T1 = 3275 sin 48
T1 = 3275 sin 48/sin97
T1 = 2542 N
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Can someone explain and help me through this?
a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.
b. Let t = 10 and solve for the distance the cheetah covered in 10 minutes.
Information from the Warm Up:
According to the Travel Almanac, the world’s fastest land animal is the cheetah. It can travel at up to 70 mph. Think of this scenario: A cheetah sitting under a tree sprints toward its prey at 70 mph. It runs back to its initial spot by the tree at a modest 40 mph. The cheetah has embarked on a round-trip. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
That’s one of the things you’ll determine as you work to complete this task. Make a conjecture. What do you think the answer will be?
well, let's get the info first.
so going forth the Cheetah goes 70mph and going back it modestly does 40mph.
can we say that on average it did 55mph?
well, what's that? on average means, that in total if we sum all units up and divide them evenly by relevant intervals, that's our average value.
well, let's see both intervals, on is forth and another is back 2 intervals, and the speed values are 70 and 40, so the average will really be (70 + 40) ÷ 2 = 55, that is an average of 55mph, so yes, we can say that.
A)
since an hour is 60 minutes, the Cheetah is really doing 70 miles per 60 minutes, or we can say
[tex]70\cdot \cfrac{miles}{~~\begin{matrix} hour \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} hour \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60~minutes}\implies \cfrac{70}{60}\cdot \cfrac{miles}{minutes} \implies 1.1\overline{66}\frac{miles}{minutes}[/tex]
[tex]{\Large \begin{array}{llll} \stackrel{\textit{miles covered}}{m(t)}~~ = ~~1.1\overline{66}t \end{array}}[/tex]
B)
[tex]\stackrel{\textit{miles covered}}{m(t)}~~ = ~~1.1\overline{66}t\implies \stackrel{t=10}{m(10)=1.1\overline{66}(10)}\implies \stackrel{\textit{miles in 10 minutes}}{m(10)=11.\overline{66}}[/tex]
