The probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
What is probability?
Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.To find the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection:
Given that Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. We are to calculate the probability that Rita will need to pick at least 5 beads before she picks a grey bead from her collection.Prob for drawing at least 5 beads before she picks a grey bead from her collection= 1-Prob for drawing at least one grey beed in the first 5 draws.(Because these two are complementary events)number of grey beads drawn in the first 5 trials is[tex](5, \frac{80}{80+160+240} ) = (5,\frac{1}{6} )[/tex]Prob for drawing at least one grey beed in the first 5 draws.=1-Prob of no greyHence required prob=P(X=0 in the first 5 draws)[tex](1-\frac{1}{6})^{5}\\0.4018[/tex]The 6th beeds onwards can be grey also.The nearest answer is (C) 0.45Therefore, the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
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The question you are looking for is given below.
Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection?
(A) 0.05
(B) 0.10
(C) 0.45
(D) 0.55
It costs $3.50 per hour to rent a bike, plus
a flat fee of $5.50. If Juanita spends a total
of $40.50, for how many hours did she rent the bike?
F. 4 1/2 h
G. 7 h
H. 10 h
J. 12 h
Answer:
H. 10 h
Step-by-step explanation:
40.50-5.5 = 35
35/3.5 = 10 hours
Erin’s car uses 6 gallons of gas for every 138 miles she drives.which equation could be used to find how many gallons,g, Erin needs to drive 92 miles. Answer choice A : 23=92g B:23=183g C:92=23g D:138=23g
The equation that could be used to find how many gallons Erin would need to drive 92 miles is 92 = 23g (option c)
How many gallons is needed to drive 92 miles?
The first step is to determine the gallons needed to drive 1 mile. To do this, divide the 6 gallons by 138 miles. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Gallons needed for 1 mile = 6/138
In order to determine the gallons needed for 92 miles, multiply the ratio gotten in the previous step by 92
(6/138) x 92 = 4 gallons
The option that gives 4 gallons is : 92 = 23g
g = 92 / 32 = 4
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Answer these two questions pls
Thank you if your able to answer! :)
Q1) Find the LCM and HCF of the following by using prime factorisation method.
(i) 12,18
(ii) 12,15 and 21
Q2) If LCM (16, y) = 48 and HCF (16, y) = 12
Find y.
[tex]{\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}[/tex]
[tex]\diamond\:{\boxed{\tt{\purple{{ part \:(i) :}}}}}[/tex]
❍ Prime factorisation :-
‣ Prime factors of 12 -
[tex]\begin{gathered}\begin{gathered}{\begin{array}{ c|c}2&12 \\\hline 2&6 \\ \hline 3&3\\ \hline &1\end{array}} \end{gathered}\end{gathered}[/tex]
‣ Prime factors of 18 -
[tex]\begin{gathered}\begin{gathered}{\begin{array}{ c|c}2&18 \\\hline 3&9\\\hline 3&3 \\ \hline &1\end{array}} \end{gathered}\end{gathered} [/tex]
Therefore,
[tex]\star \: 12 = {2}^{2} \times {3}^{1}[/tex]
[tex]\star \: 18= {2}^{1} \times {3}^{2}[/tex]
✧ LCM of 12 and 18 = [tex]\sf {2}^{2} \times {3}^{2}[/tex]
[tex]\implies 36[/tex]
✧ HCF of 12 and 18 = [tex]\sf {2}^{1} \times {3}^{1}[/tex]
[tex] \implies 6[/tex]
[tex] \diamond\:{\boxed{\tt{\red{{ part \:(ii) :}}}}}[/tex]
❍ Prime factorisation :-
‣ Prime factors of 12 -
[tex]\begin{gathered}\begin{gathered}{\begin{array}{ c|c}2&12 \\\hline 2&6 \\ \hline 3&3\\ \hline &1\end{array}} \end{gathered}\end{gathered}[/tex]
‣ Prime factors of 15 -
[tex]\begin{gathered}\begin{gathered}{\begin{array}{ c|c}3&15 \\\hline 5&5 \\ \hline &1\end{array}} \end{gathered}\end{gathered}[/tex]
‣ Prime factors of 21 -
[tex]\begin{gathered}\begin{gathered}{\begin{array}{ c|c}3&21 \\\hline 7&7 \\ \hline &1\end{array}} \end{gathered}\end{gathered}[/tex]
Therefore,
[tex]\star \: 12 = {2}^{2} \times {3}^{1}[/tex]
[tex] \star \: 15 = {3}^{1} \times {5}^{1}[/tex]
[tex]\star \: 21 = {3}^{1} \times {7}^{1}[/tex]
✧ LCM of 12, 15 and 21 = [tex]\sf {2}^{2} \times {3}^{1} \times {5}^{1} \times {7}^{1}[/tex]
[tex] \implies 420[/tex]
✧ HCF of 12, 15 and 21 = [tex]\sf {3}^{1} [/tex]
[tex] \implies 3[/tex]
[tex] {\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}[/tex]
Using,
LCM × HCF = Product of two given numbers
Putting the values,
[tex]\longrightarrow \sf 48 \times 12 = 16 \times y[/tex]
[tex]\longrightarrow \sf \dfrac{ \cancel{48} _{3} \times 12}{ \cancel{16}{ _1} } = y[/tex]
[tex]\longrightarrow \sf y = 3 \times 12[/tex]
[tex] \longrightarrow {\sf{{{\boxed{\green{\bold {\sf y = 36 }}}}}}}[/tex]
Therefore,
The value of y = 36
[tex]{\large{\textsf{\textbf{\underline{\underline{Important \: points :}}}}}}[/tex]
• A natural number "P" > 1 having only two factor one and "P" itself is called prime number.
• A prime number is never negative.
• H.C.F is the product of smallest power of each common prime factor.
• L.C.M is the product of greatest power of each prime factor.
• HCF is always a factor of LCM.
[tex]\underline{\rule{300pts}{3pt}}[/tex]
A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The pizza company wants the volume of the delivery box to be 756 cubic inches. The length of the delivery box is 6 inches less than twice the width, and the height is 2 inches less than the width. Determine the width of the delivery box.
The width of the delivery box is 9 inches.
Given that volume of delivery box is 756 cubic inches,length is 6 inches less than twice the width, height is 2 inches less than width.
let width be x
Length = 2x- 6
Height = x - 2
Width = x
We can find the value of x by putting values one by one and then we will be able to get the value of x which is width.
Because the delivery box is cuboid in shape so the volume is equal to product of length,breadth and height.
When x=7: Volume=7 x (7 - 2) x (2x7 - 6) = 7 x 5 x 8 = 280
When x=9,Volume will be 9 x (9 - 2) x (2x9 - 6) = 9 x 7 x 12 = 756
Therefore, the width of the delivery box is 9 inches.
Hence the width of the delivery box is 9 inches.
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The design pattern on a blanket has 3 circles followed by 4 triangles. this pattern repeats across the entire blanket. move a number or word to each blank to describe the ratio relationship between the circles and triangles.
The ratio between the circle and triangle is described as 3:4.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0.A proportion is an equation that sets two ratios at the same value.In this section, the terms ratio and proportion are defined. Both ideas play a significant role in mathematics. Numerous examples where the concept of the ratio is highlighted may be found in daily life, such as the rate of speed (distance/time) or price (rupees/meter) of a substance.An equation for proportion establishes the equality of the two provided ratios.Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio is indicated by the symbol A fraction, like 2/5, can be used to represent a ratio. In our daily lives, we come across many comparisons, or ratios.As a result, the ratio can be expressed in three distinct ways, including:a to ba : ba/bKnow more about ratio and proportion numerical
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Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows
the results found when copying a design x times. Use the graph to write the equation modeling this relationship.
-10
2 3 4
6 7 8
Enter the correct answer in the box by feplacing the values of a and b.
The correct values for a and b which models this relationship through an exponential function are 8 and 2 respectively.
What is an exponential function?An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = eˣ
How to write an equation modeling this relationship?Based on the information provided, we can logically deduce that the other copy machine can reduce image dimensions by a different percentage and this is defined by the following exponential function:
f(x) = abˣ
From the graph (see attachment), we have;
When x = 0, y = f(x) = 8. Thus, f(0) = 8
f(x) = abˣ
8 = ab⁰
8 = a × 1
a = 8.
Also, from the graph (see attachment), we have;
When x = 1, y = f(x) = 4
f(x) = abˣ
4 = 8b¹
4 = 8 × b
4 = 8b.
b = 8/4
b = 2.
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15. The sides of a parallelogram are 100 m each and the length of the longest diagonal is 160 m. Find the area of the parallelogram.
Answer:
Area of parallelogram = 9600 m²
Step-by-step explanation:
• We can find the measure of angle x using the cos rule:
[tex]160^2 = 100^2 +100^2 -2(100)(100) \cdot cos (x)[/tex]
Make x the subject of the equation:
⇒ [tex]20000 \cdot cos(x) = 100^2 +100^2 - 160^2[/tex]
⇒ [tex]cos(x) = -0.28[/tex]
⇒ [tex]x = cos^{-1} (-0.28)[/tex]
⇒ [tex]x = 106.26 \textdegree[/tex]
• Now we can find the area of one the triangles formed using the formula:
[tex]Area =\frac{1}{2} ab \cdot sin \theta[/tex]
where a and b are two sides of a triangle, and θ is the angle between them (angle x).
Substituting the values:
Area of one triangle = [tex]\frac{1}{2}[/tex] × (100)(100) × sin(106.26°)
= 4800 m²
• Since the parallelogram is formed by two such triangles, we have to double the area of the triangle to find the parallelogram's area:
Area of parallelogram = 2 × 4800
= 9600 m²
GEOMETRY HELP ASAP PLEASE!!)
Chad had a garden that was in the shape of a rectangle Its original width was 3 feet and its original length was 8 feet.
He decided to make a new garden that was 3 feet wider and 2 feet longer than his first garden.
How much larger is the area, in square feet, of his new garden compared to his original garden?
Fill in the blank by entering only a number for your answer.
Answer:
36
Step-by-step explanation:
Chad's original garden is 3 ft x 8 ft.
original area = 3 x 8 = 24 square feet
Chad's super Chadly new garden is 3 feet wider, and 2 feet longer.
new width = 3 + 3 = 6
new length = 8 + 2 = 10
new Area = 6 x 10 = 60 square feet
To find how much larger the new area is, subtract the original area.
60 – 24 = 36 square feet
Suppose the shipping weight of your cheese shop's customized gift baskets is asymmetrically distributed with unknown mean and standard deviation. for a sample of 45 orders, the mean weight is 66 ounces and the standard deviation is 10.2 ounces. what is the upper bound of the 95 percent confidence interval for the gift baskets average shipping weight?
a. note that the correct answer will be evaluated based on the z-values in the summary table in the teaching materials section.
please round your answer to the nearest tenth.
b. note that the correct answer will be evaluated based on the full-precision result you would obtain using excel.
Using the t-distribution, the upper bound of the 95 percent confidence interval for the gift baskets average shipping weight is of 69.06 ounces.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem, the parameters are:
[tex]\voerline{x} = 66, t = 2.0154, s = 10.2, n = 45[/tex]
Hence the upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 66 + 2.0154\frac{10.2}{\sqrt{45}} = 69.06[/tex]
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what does it mean if x=1?
The meaning of the equation x=1 is that the numerical value of variable X is; 1.
What is the meaning of x=1?It follows from the task content that the mathematical meaning of the equation x=1 be explained.
By virtue of the equality sign, it follows that the numerical value of variable x is 1 and hence, 1 can be substituted for variable x in any mathematical expression within the context of discuss.
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pls answer this fast i need the answer
Using a system of equations, the parts are of 14 and 20.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are x and y. The total is of 34, hence:
x + y = 34 -> y = 34 - x.
The ratios are given as follows:
[tex]\frac{4}{7}x = \frac{2}{5}y[/tex]
Then:
[tex]\frac{4}{7}x = \frac{2}{5}(34 - x)[/tex]
20x = 14(34 - x)
34x = 34 x 14
x = 14, y = 34 - 14 = 20.
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Please help me quickly.
Thank you
Answer:
[tex]x = \bf -7[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} (x + 21) = 10\frac{1}{2}[/tex]
• Divide both sides by [tex]\frac{3}{4}[/tex] :
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}[/tex]
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}[/tex]
⇒ [tex]x + 21 = 14[/tex]
• Subtract 21 from both sides:
⇒ [tex]x = 14 -21[/tex]
⇒ [tex]\boxed {x = \bf -7}[/tex]
anyone know the answer?
Answer:
d. 15√5
Step-by-step explanation:
Perimeter = 3√5 × 5 sides
= 15√5
Answer: B - 15√5
Step-by-step explanation:
As said in the question, the perimeter is the total length of all sides of a figure. The question also says that all sides are the same length, and the length of one side is 3√5 yards.
In that case, all 5 sides have length 3√5 yards, so the perimeter would be this value added 5 times, or this value multiplied by 5:
[tex]P=3\sqrt{5}+3\sqrt{5}+3\sqrt{5}+3\sqrt{5}+3\sqrt{5}=5*3\sqrt{5}[/tex]
[tex]P=15\sqrt{5}[/tex]
Hence, the perimeter of the chicken coop is 15√5 yards.
An oblique cylinder has a radius of 10 units and slant length of 26 units. an oblique cylinder has a radius of 10 units and a slant length of 26 units. what is the volume of the cylinder?
Answer:
The volume of the cylinder is 2,400pi cubic units
Step-by-step explanation:
I hope this helps and have a good day!
Given the choice between doing an oral and written report ,18 of the 28 students chose to do an oral report find the ratio of written to oral report
Answer:
5:9
Step-by-step explanation:
So since 18 chose to do oral report, that means (28-18) or 10 students decided to do a written report.
To find the written to oral report ration, we need to find for each student that did a written report, how many did an oral report? We can express this as a fraction and simplify to get the simplified ratio. So the the written will be the numerator and the oral will be the denominator: 10/18, to simplify this simply divide both sides by 2, to get 5/9 which gives us the simplified ratio of 5:9 meaning that for every 5 students who decided to do a written report 9 students decided to do an oral report.
LaQuinta is in the French club with 25 other students. Three exchange
students will be attending her school from France. If the French teacher
chooses a student at random to guide each of the visiting students, what is
the probability that LaQuinta will NOT be picked as a guide?
Answer: 23/26
Step-by-step explanation:
Let’s say we have 3 spots, one for each of the three exchange students. It doesn’t matter who goes with who, we’re just going to choose people.
If LaQuinta is NOT one of the people chosen, then there are 25 possible people left to become tour guides. We will need to choose 3 of them, so there are (25 choose 3) = 2,300 ways.
With no restrictions, there are 26 people to choose from and 3 spots to fill. Therefore there are (26 choose 3) = 2,600 ways to fill these 3 spots with no restrictions.
The total probability is 2,300/2,600, which simplifies to 23/26.
PLESSEE HELP ME ASAPP
Answer:
option A. is the midpoint of the graph
If i start my trip driving at x mph for a hours and then go 5 mph slower for the next 2 hours what is the total distance i traveled.
Total distance travelled = (x.a + 2x -10) miles .
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed X Time
The whole trip can be divided into two parts
Part 1 :- Speed = x mph and time = a hours
∴ Distance = x .a miles
Part 2 :- Speed = x -5mph and time = 2 hours
∴ Distance =(x-5).2 = (2x -10)miles
Total distance = (x.a + 2x -10) miles
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The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the acts are ordered randomly, what is the probability that a dancer performs first
Answer:
[tex] \frac{6}{20} = \frac{3}{10?} [/tex]
Step-by-step explanation:
total amount of acts = 4+10+6 = 20
amount of dancers = 6
probability of picking a dancer = number of dancers / total number of talents = 6/20 = 3/10
The probability that a dancer performs first is 3/10.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers.
Total participants = 4+ 10 +6 = 20
So, the probability that a dancer performs first
= 6 /20
= 3/10
Hence, the probability that a dancer performs first is 3/10.
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A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the
mean number of hours of sleep college seniors get per night. to investigate, he selects a random sample of 50
high school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the
colleges in his county. he constructs a 95% confidence interval for the true mean difference in the number of hours
of sleep for seniors in high school and seniors in college. the resulting interval is (0.57, 1.25). based upon the
interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night
differs from the mean number of hours of sleen college seniors net ner night?
In light of the provided confidence interval, the following is the best answer on the outcome of the hypothesis test:
Yes, because 0 is not in the confidence interval.
What are the hypotheses tested?At the null hypotheses, it is tested if the difference is equals to zero, that is:[tex]$H_{0}: \mu=0$[/tex]
At the alternative hypotheses, it is tested if it is different, hence:[tex]$H_{1}: \mu \neq 0$[/tex]
The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0.yes, because 0 is not in the confidence interval
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Question 4 of 5
Which values are solutions to x < 7?
OA. x= 1 and x = 6
OB. x= 8 and x = 12
OC. x = 6 and x = 12
OD. x=8 and x = -1
HELP ASP please
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)? OA X=-9 OB. Oc y=-9 D. y=-4
Divide quotient and remainder (image)
Answer:
Hi, I'm not for sure but I think for sure for the answer is, I haven't done this math in a while btw I like math lol, but I will try my best for this answer:
The quotient: x + 4
The remainder: - 2
Step-by-step explanation:
I hope this helps you and have a lovely day of learning!
the area of a rectangle is (16x^2 - 9y^2) square units
Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below.
Compare the box plots. Which statements are true? Check all that apply.
Ben has the smaller range of test scores.
The lower quartile and upper quartile of Nadia’s data are both higher than the lower quartile and upper quartile of Ben’s data.
The median of Nadia’s data is equal to the median of Ben’s data.
Nadia had the highest score on a test.
Ben’s lowest score was equal to Nadia’s lowest score
The statements that are true for the box plots are:
C. The median of Nadia’s data = median of Ben’s data.
D. Nadia had the highest score on a test
How to Find the Median of a Box Plot?The median of a data set is the center value, which is indicated on a box plot by a vertical line that divides the box.
Given the two box plots, we can conclude that:
Median for the data of Nadia is 92, which is the same for Ben.
The extreme whisker to the right for Nadia is at 100, which is the highest value for Nadia while that of Ben is 99.
The true statements are:
C. The median of Nadia’s data = median of Ben’s data.
D. Nadia had the highest score on a test
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Answer:
"C" and "D"
Step-by-step explanation:
took test on edge 2023
please help em
A (1,2), B(3,8) and C(7,4) are the corners of a triangle. Draw this triangle on a grid.
The triangle drawn on a grid is in the image attached and the complete procedure for the construction of the triangle is summarized in the explanation.
How to draw a triangle on a Cartesian plane
In this question we are asked to draw a triangle on a Cartesian plane. The procedure is summarized below:
Mark the points of the vertex on the plane with respect to the origin.Connect each pair of points by drawing straight line segments.Lastly, we present the result of this method in the image attached below.
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20 POINTS
please help and have a good weekend
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
How to Find the Surface Area of Triangular Prism?Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
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Which of the following interface validation checks is useful in verifying that the birth data you entered on your job application indicates that you meet the minimum age requirement to serve alcohol
The interface validation that would help to confirm that you meet the minimum age is the range check.
What is the range check?This is the term that is used to refer to the check that is done in such a way that it shows the data that are in a particular range.
This would help to ensure that there is a specified upper and lower boundary for the values to fall into.
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complete questionwhich of the following interface validation checks is useful in verifying that the birth data you entered on your job application indicates that you meet the minimum age requirement to serve alcohol?
Consistency check
Format check
Completeness check
Range check
standard deviation sign and the mean sign
Answer:
standard deviation sign is σ
mean sign is x , and sometimes it have a hyphen directly above x.
Step-by-step explanation:
Greetings!standard deviationIn statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
MeanIt is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are.
summationThe symbol ∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.
A couple quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Subtomex0, tysm for the help!
Answer:
Question 6) Neither (Not an inverse variation)
Question 7) Inverse variation
Question 8) Inverse variation
Step-by-step explanation:
These are the two formulas we need to know prior to solving the question.
Direct variation: c times x
Inverse variation: c times 1/x --> c/x
- Here, c is the constant
6. y = x + 7
This is neither. It is not in the form of a direct, or inverse variation, so it does not belong in any category.
7. 14 = xy
This equation is an inverse variation.
xy = 14
y = 14/x
14 is the constant, and the format is the same as for an inverse variation.
8. x = -8/y
This equation is an inverse variation.
yx = -8
y = -8/x
-8 is the constant, and the format is the same as for an inverse variation.
So we can conclude that questions 7 and 8 is an inverse variations, while question 6 isn't.
General forms
Direct
y=KxInverse
y=k/xso
#6
y=x+7Not inverse and direct also as 7 is present
#7
14=XYy=14/xYes
#8
x=-8/yy=-8/xYes