The coordinates of C are (5, 4).
What is a coordinate point?
A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).
Given, A(-4,-2) and B(8,6)
Point C is 3/4 of the way from point A to B. Then,
C = A +3/4(B -A)
or, C = (3B +A)/4
or, C = (3(8, 6) +(-4, -2))/4
or, C = (24 -4, 18 -2)/4
or, C = (5, 4)
Hence, the coordinates of C are (5, 4).
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what is 2 divided by 238
Answer:
0.0084033613
Step-by-step explanation:
Please give the step-by-step solution with detailed explanation. 1.) The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f. 2.) The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f. 3.) The function g is related to one of the parent functions g(x) = −(x − 2)^3 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 4.) The function g is related to one of the parent functions g(x) = |x − 1| + 5 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 5.) The function g is related to one of the parent functions g(x) = 2 √x a.) Identify the parent function f. b.) Use function notation to write g in terms of f.
1. The function [tex]g(x)=x^2+6[/tex] is related to the parent function[tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 6 to the expression for
[tex]f: g(x) = f(x) + 6\\ = x^2 + 6[/tex]
2. The function [tex]g(x) = x^2 - 3[/tex] is related to the parent function [tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply subtract 3 from the expression for
[tex]f: g(x) = f(x) -3 \\ = x^2 -3[/tex]
3.The function [tex]g(x) = -(x -2)^3[/tex] is related to the parent function [tex]f(x) = (x - 2)^3[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply negate the expression for f:
[tex]g(x) = -f(x)\\= -(x - 2)^3[/tex]
4. The function [tex]g(x) = |x -1| + 5[/tex] is related to the parent function [tex]f(x) = |x - 1|[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 5 to the expression for f:
[tex]g(x) = f(x) + 5\\= |x - 1| + 5[/tex]
5. The function [tex]g(x) = 2 \sqrt{x}[/tex] is related to the parent function [tex]f(x) = \sqrt{x}[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply multiply the expression for f by 2:
[tex]g(x) = 2[/tex] × [tex]f(x)[/tex]
[tex]= 2 \sqrt{x}[/tex]
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If f(x)=x²-2 and g(x)=x-3, what is (fog)(x)?
O (fog)(x) = x² +7
(fog)(x)=x²-6x+7
O (fog)(x)=x²-3x+7
O (fog)(x)=x²-5
Answer:
The correct answer is (fog)(x) = x² - 6x + 7.
To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).
g(x) = x - 3
So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
SELF EXPLANATORY
Answer:
[tex](f \circ g)(x)=x^2-6x+7[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]
the radius of a sphere is incerasing at a rate of 2 ft/min. how fast is the volume changing when the radius is 3 feet
for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
According to the test 0 is not plausible value for the difference between the population means.
What is population mean?
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
We have
n1 = 504, x f = 3.13
n2 = 400, x m = 2.87
(a) Hypothesis: H0: μf = μm V/s H1: μf ≠ μm
Yes, because according to the test 0 is not plausible value for the difference between the population means.
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Complete question:
Complete question is attached below.
Solve the inequality. Graph your solution. $$ - 5.3 x > 21 |
The solution to the inequality - 5.3 + x > 21 is x > 26.3
In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.
In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.
- 5.3 + x + 5.3 > 21 + 5.3
x > 26.3
The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.
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a field goal is 3 points and the field goal after a touchdown is only 1 point. in a not-so-recent post-season, adam vinatieri of the indianapolis colts made a total of 21 field goals and extra point kicks for 49 points. find the number of field goals and extra points he made.
Adam Vinatieri made 14 field goals and 7 extra points.
Given that,
a field goal is 3 points and the field goal after a touchdown is only 1 point.
Adam Vinatieri made 21 field goals and extra point kicks for 49 points.
Let x be the number of field goals and y be the extra point kicks.
So we get,
x + y = 21 -------------(1)
3x + y = 49 -----------(2)
Subtracting equation (1) from equation (2),
2x = 28
x = 14
putting the value of x in equation (1),
14 + y = 21
y = 7
Therefore Adam Vinatieri made 14 field goals and 7 extra points.
Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.
Adam Vinatieri is an American former football placekicker who played in the National Football League.
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6ab + 2a²b + 5a²b² - 3ab - 6ab²+ a²b-2a²b²
please help.
Answer: 3a2b2+3a2b−6ab2+3ab
Step-by-step explanation:By simplifying,
6ab+2a2b+5a2b2−3ab−6ab2+a2b−2a2b2
= 3a2b2+3a2b−6ab2+3ab
Hope this help's You
[tex]6x^{2} = 6[/tex]
[tex]6x^2=6[/tex]
Divide both sides by 6:
[tex]\dfrac{6x^2}{6} =\dfrac{6}{6}[/tex]
[tex]x^2=1[/tex]
Take square root:
[tex]x=\pm\sqrt{1}[/tex]
[tex]\fbox{x = 1 or x = -1}[/tex]
Solve the following equation for x. 10 = 2 - 4 (ax - 3) a. -5/a b. 5/a c. 1/a d. -1/a
Answer: c. [tex]\frac{1}{a}[/tex].
Step-by-step explanation:
10 = 2 - 4(ax - 3)
10 = 2 - 4ax + 12
10 = 14 - 4ax
Minus 14 on both sides.
-4 = -4ax
Divided -4 on both sides.
1 = ax
Divided a by both sides to solve x.
[tex]\frac{1}{a}[/tex] = x
Therefore, the answer is c.
Convert 8.24 g/cm2(means squared) to mg/mm2 using dimensional analysis
Answer:
82.4 mg/mm²
Step-by-step explanation:
You want to convert 8.24 g/cm² to units of mg/mm².
Dimension changeMultiply by the conversion factors that cancel the unwanted units, leaving the wanted units.
[tex]\dfrac{8.24\text{ g}}{\text{cm}^2}=\dfrac{8.24\text{ g}}{\text{cm}^2}\cdot\dfrac{1000\text{ mg}}{\text{g}}\cdot\left(\dfrac{1\text{ cm}}{10\text{ mm}}\right)^2=\dfrac{8.24\cdot1000\text{ mg}}{100\text{ mm}^2}\\\\=\boxed{82.4\text{ mg/mm$^2$}}[/tex]
there are 6 studenjts in the class. one of them is to be selcted as the best studen and another student is to be selceted as a runner-up. how mant different ways can this be done?
As per the combination method, there are 15 different ways are possible for this situation.
Combination method:
Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.
Given,
Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.
Here we know that that the value of
Total number of students = 6
Best student = 1
Runner - up = 1
So, as per the NCR formula, the value of n = 6 and the value of r = 2
Then the possible combinations are calculated as,
=> ⁶C₂ = 6! / 2!(6 - 2)!
=> ⁶C₂ = 6!/2!4!
=>⁶C₂ = 15
Therefore, the resulting number of ways is 15.
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this report in the website freakonomics talks about how a major patent reform in the u.s. might hurt individuals inventors. the text brings results of an study by david abrams and polk wagner that used data from canada when this country introduced a similar reform back in 1989. in the text these authors provide numbers about the fraction of individual inventors in canada and u.s. before and after canada changed its law. (a) using these numbers computer the did estimator. (b) what do you conclude about the impact of the canadian law change on small inventors? (c) write a regression equation with which you could obtain the did estimator by ols. make sure to define our variables. (d) draw a graph like the one in your class notes about the garbage incinerator example. you should plot each of the four numbers mentioned by the authors in the text. make sure to draw the counterfactual change in the fraction of individual inventors (that
On September 16, 2011, U.S. President Barack Obama approved the Leahy-Smith America Invents Act (AIA). The AIA changed U.S. Patent law from a first-to-invent system to a first-to-file one following years of dispute.
The first inventor of the claimed invention may be given a patent, according to long-standing U.S. patent law. The goal of this rule was to provide equal opportunity for small businesses to compete with "the big dogs" in the field of developing technology.
The argument was that these tiny, occasionally one-person operations lacked the legal infrastructure required to prepare and submit patent applications in a timely manner. The costs of establishing inventorship in front of the U.S. Patent and Trademark Office (USPTO) or federal judges may have, regrettably, outweighed the advantages of the first-to-invent system. In order to prove their claims in one forum or another, the creators of competing technologies ultimately had to navigate a maze of rules and standards. These legal actions were expensive for many small businesses.
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A student who obtained a percentile rank of 75 on an achievement test is best characterized as having?
A student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.
What is percentile rank?
A percentile rank describes a student's performance in relation to other students in the same grade and subject who made up the specific norm group. The percentile rank of a student indicates whether their score was equal to or higher than the percentage of students in the norm group.
The percentage of scores in a frequency distribution that are lower than a given score is known as the percentile rank of that score in statistics.
A percentile rank of 75 indicates that the student outperformed 75% of the other students in his or her norm group, and 25% of the students outperformed your student.
Hence, a student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.
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a) a research article described a simple random sample of 584 smokers who tried to quit smoking by using either a nicotine patch or e-cigarettes, fake cigarettes producing nicotine in water vapor form. after six months, 7.3% of those using e-cigarettes had stopped smoking, compared with 5.8% of those wearing the patch. to see if quitting result is significantly associated with the method used, which statistical inference procedure should we use? matched
To see if quitting result is significantly associated with the method used, which statistical inference procedure which should be used is the Chi-square test for two-way table.
A random sample of 584 smokers who attempted to quit smoking and were observed using the method they used to help themselves to achieve their goal was taken in order to determine whether there is a correlation between the percentage of people who successfully stop smoking and the method they used to do so (nicotine-patch or e-cigarettes). The percentage of subjects who successfully quit smoking after six months.
The t-test is not appropriate in this situation because the population mean is being tested by this statistic.
The percentage of participants who successfully quit smoking using either technique is the study's dependent variable.
The variable must be categorizable in order to do Chi-Square tests, and since the data can be arranged in a 2x2 table, all anticipated frequencies must be greater than 5.
The Goodness-to-Fit test seeks to determine if a population adheres to a particular theoretical model.
In this case, it's important to compare the percentage of smokers who were able to successfully stop using both methods and the percentage who were unsuccessful.
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How do you convert 0.26 into a percent and fraction?
Answer: 26% and 26/100
Step-by-step explanation:
Use 0.26 as a fraction; 26/100, and use that 26/100 to convert it as a percentage using 26% out of 100% giving you 26%
How do you find the sum of the infinite geometric series given 16+12+9+...?
The sum of the infinite geometric series 16 + 12 + 9 + ... is 64.
To find the sum of an infinite geometric series, you can use the formula:
sum =[tex]\frac a{(1 - r)}[/tex]
where "a" is the first term in the series and "r" is the common ratio between terms.
In this case, the first term is 16 and the common ratio is 3/4, so the sum is:
sum [tex]= \frac{16}{(1 - \frac{3}4)} =\frac{16}{(\frac{1}4)} = 64[/tex]
Therefore, the sum of the infinite geometric series 16 + 12 + 9 + ... is 64.
Note that this formula is only valid if the absolute value of the common ratio is less than 1. If the absolute value of the common ratio is 1 or greater, the series will either converge to a finite value or diverge to infinity, and the sum cannot be calculated using this formula.
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emma wants to know if long distance relationships in college have a greater likelihood of ending than relationships that are not long distance. she creates a questionnaire and recruits 100 students from her school to complete the questionnaire so she can test her hypothesis. emma is:
Emma is asking an empirical question so that she she can test her hypothesis
What is a Empirical hypothesis?
Something empirical is something based on real evidence .
Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic
A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet
So, According to the question
Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis
Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.
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Convert 1/12 to a decimal using division
Answer:
1÷12
Step-by-step explanation:
fractions can be converted to the decimal form by the long division method.
The fraction
can be written as
.
Let us do the long division for the given fraction.
What_is_1_12_as_a_decimal_img2
When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.
We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.
Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.
We can stop the division here as we know that the answer is a non-terminating decimal.
Hence the decimal form of the fraction
is 0.8333……
Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.
Boost your score What is 1/12 as a decimal img
Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.
Remember
Here are some common terms you should be familiar with.
In the fraction
, the number 1 is the dividend (our numerator)
The number 12 is our divisor (our denominator).
Find More Fractions to Decimals
1/1 = 1
1/8 = 0.125
3/4 = 0.75
7/9 = 0.7
11/16 = 0.6875
8/9 = 0.8
7/8 = 0.875
4/5 = 0.8
1/2 = 0.5
1/9 = 0.1
2/5 = 0.4
3/10 = 0.3
15/32 = 0.4687
7/10 = 0.7
5/9 = 0.5
4/7 = 0.571
1/3 = 0.3
1/10 = 0.1
5/6 = 0.83
2/11 = 0.18
3/5 = 0.6
3/11 = 0.27
9/10 = 0.9
1/4 = 0.25
1/11 = 0.09
2/7 = 0.28571
5/11 = 0.45
3/7 = 0.428571
6/11 = 0.54
4/11 = 0.36
1/5 = 0.2
1/12 = 0.083
5/7 = 0.71428
8/11 = 0.72
6/7 = 0.85714
7/12 = 0.583
7/16 = 0.4375
1/6 = 0.16
1/16 = 0.0625
3/8 = 0.375
5/12 = 0.416
5/8 = 0.625
5/16 = 0.3125
15/16 = 0.9375
1/7 = 0.142857
2/3 = 0.6
2/9 = 0.2
3/16 = 0.1875
How do you add 9/4 + 2/8. Explain the steps
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
[tex]\frac{9}{4} +\frac{2}{8}[/tex]
1. Since the denominators (bottom numbers) are different, you have to find the lowest common denominator
Your denominators are 4 and 8. The goal is to find the least common multiple. (LCM) this is the lowest number that both 4 and 8 can go into. Here that is 8.
[tex]\frac{9}{4} +\frac{2}{8}[/tex]
To find the LCM you can write out the multiples like this
4: 4,8,12,16...
8: 8,16,24
Since they both have 8, this is your lcm
2. Now look at the difference between the denominators in the original problem.
[tex]\frac{9}{4} +\frac{2}{8}[/tex]
The other bottom number is 4 so you need to see how many times you'd have to multiply 4 to get 8. Here that is 2. Because 4x2 is 8.
3. Now multiply both numbers on the left by 2. (because of step 2)
9x2= 19 and 4x2=8
Now you have [tex]\frac{18}{8} +\frac{2}{8}[/tex]
4. Now do the other side. The denominator is already 8 so you don't have to change anything. (this is because you would just do everything times 1 like you did 2 in the last step.)
5. Now you can just add the 2 fractions across.
[tex]\frac{18}{8} +\frac{2}{8}[/tex] 18+2= 20 and 8+8=16
This gives you: [tex]\frac{20}{8}[/tex]
6. Now simplify. To simplify, find the highest common factor (HCF). to do that you find the highest number that goes into both 20 and 8.
20: 1,2,4,5,20
8: 1,2,4,8
The highest number that goes into both is 4.
Noe divide both numbers of [tex]\frac{20}{8}[/tex] by 4.
This gives you
[tex]\frac{5}{2}[/tex]
dummy variables created to include nominally scaled variables in an analysis are commonly used in: regression analysis. conjoint analysis. multiple discriminant analysis. factor analysis.
Dummy variables created to include nominally scaled variables in an analysis are commonly used in a)regression analysis. So, correct option is a.
Dummy variables are usually utilized in regression analysis to address absolute factors that have multiple levels, for example, training level or occupation. For this situation, various faker factors would be made to address each level of the variable, and just a single dummy variable would take on a worth of 1 for every perception.
In regression analysis, a dummy variable (otherwise called pointer variable or simply faker) is one that takes the qualities 0 or 1 to demonstrate the nonappearance or presence of some all out impact that might be supposed to move the outcome.
For instance, assuming that we were concentrating on the connection among orientation and pay, we could utilize a dummy variable to address the orientation of every person in the review. The variable would take on a worth of 1 for guys and 0 for females.
Hence, correct option is a.
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(Complete question) is:
dummy variables created to include nominally scaled variables in an analysis are commonly used in:
a)regression analysis
b)conjoint analysis.
c)multiple discriminant analysis.
d)factor analysis
If x^8 • x^a = x^64 and (x^2) ^b = x ^ 5, what is the product of a and b?
A. 168
B. 140
C. 58
D. 24
E. 11
Work shown would be helpful please! Giving 100 brainly points!!
The product of a and b is 140. Hence option B is the correct option.
What is an exponential function?
The formula for an exponential function is f (x) = a^xx, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given exponential equations are
x^8 • x^a = x^64 .....(i)
(x^2) ^b = x ^ 5 .....(ii)
Solve the equation (i) to calculate the value of a:
x^8 • x^a = x^64
Applying the formula of product of two exponents with same base a^b • a^c = a^(b+c):
x^(8+a) = x^64
Now compare the exponent of the above equation:
8 + a = 64
Subtract 8 from both sides:
a = 64 - 8
a = 56
Solve the equation (ii) to calculate the value of b:
(x^2) ^b = x ^ 5
Now applying the formual (a^b)^c = a^ (bc)
x^(2b) = x^5
Now compare the power of x of the above equation:
2b = 5
divide both sides by 2
b = 5/2
The product of a and b is 56 • (5/2) = 140.
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A new car is purchased for 19000 dollars the value of the car depreciates at 7.75 per year how long will it be till the value reaches 6200
The car's value will decreases to $6,200 in about 8.65 years.
First, let's find the annual depreciation of the car. The car is purchased for $19,000 and depreciates at 7.75% per year, so the annual depreciation is:
⇒ 0.0775 x $19,000 = $1,478.50.
Now that we know the annual depreciation of the car, we can divide the difference in value by the annual depreciation to find out how long it will take for the value of the car to reach $6,200.
The value of the car decreases from $19,000 to $6,200, so the difference in value is :
⇒ $19,000 - $6,200 = $12,800.
Dividing this difference by the annual depreciation of $1,478.50:
⇒ $12,800 / $1,478.50 = 8.65 years.
Therefore, it will take approximately 8.65 years for the value of the car to reach $6,200.
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5 = 3 + 2x
What is the answer?
Answer:
x = 1
Step-by-step explanation:
GivensWe are given an equation that will ultimately lead to a solution for the variable x.
To begin, we will first subtract 3 from both sides to move the constants to each side:
[tex]5=3+2x\\\\5-3=3-3+2x\\\\2=2x[/tex]
Then, divide both sides of the equation by 2 to remove the leading coefficient and isolate the variable:
[tex]2=2x\\\\\displaystyle \frac{2}{2}=\frac{2x}{2}\\\\x=1[/tex]
Final AnswerTherefore, x = 1.
Answer: x = 1
Step-by-step explanation: The equation is true without changing the value of x so x can only equal 1 so that the value of the numbers go unchanged. :)
How do you write 38000 in scientific notation?
Answer 3.8 x 104
Step-by-step explanation:
Please help! Given the isosceles triangle, determine n.
Answer:
n = 113°
Step-by-step explanation:
⭐What is an isosceles triangle?
a type of triangle where the opposite sides are congruent, and the angles opposite of the opposite sides are congruent⭐What is the exterior angles theorem?
the exterior angle is equal to the sum of the two angles opposite of the exterior angleIn this case, n is the exterior angle, because it is outside of the triangle.
The 46° is opposite of n.
Thus, we need to find the left base angle, because it is opposite of n, and use the exterior angles theorem to find n.
Knowing that the triangle is an isosceles triangle, we can make an equation to find the base angles.
The internal angles of a triangle sum to 180°. Let the base angles = x.
[tex]46 + x + x = 180[/tex]
[tex]46 + 2x = 180[/tex]
[tex]2x = 134[/tex]
Solving for one base angle:
[tex]x = 67[/tex]
∴ The left base angle is 67°
Now, apply the exterior angles theorem knowing the two angles opposite of n.
[tex]n = 46 + 67[/tex]
[tex]n = 113[/tex]
∴ n = 113°
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james mows two lawns.the first lawn is 1000 meters long and 100 meters wide.the second lawn is thee same length, and a width that is 2 times as much as the first one.what is the total area of the two lawns
The total area of the two lawns is 30000m²
james mows two lawns
.the first lawn is 1000 meters long and 100 meters wide
Area of a rectangular lawn is calculated by the formula
area = l x w
Where l stands for the length of the lawn and w stands for the width of the lawn
Here, length is 1000m and width is 100m
area = 1000 x 100 = 100000
the second lawn is thee same length, and a width that is 2 times as much as the first one.
Area = l x w
Here Here, length is 1000m and width is 2 x 100m = 200
area = 1000 x 200 = 200000
The total area of the two lawns is equal to summatiom of area of 1st lawn and 2nd lawn
total area = 100000 + 200000 = 30000m²
Therefore, the total area of the two lawns that is of area of 1st lawn and 2nd lawn is 30000m²
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how to construct a confidence interval of the population proportion given at the level of confidence
Answer:
Step-by-step explanation:
what i do not undersante
What is the value of (8.59 × 10^4) - (3.2 × 10^3)? Select all that apply.
a. 5.39 * 10^1
b. 2.7488 × 10^7
c. 8.27 * 10^4
d. 82,700
Answer: D. 82,700
Step-by-step explanation:
you are an art salesperson whose job is to sell paintings. you sell paintings at art festivals, as well as out of your studio on non- festival days festivals occur once every 20 days and there is independently a 10% chance of a sale on any given day. you also know that half of previous sales have occurred during festivals. if there is a festival what is the probability of a sale?
Sales probability, or sales forecasting, is a process where a company attempts to predict its sales in the future.
How do you find the probability of sales?Opportunity stage forecasting: This method uses the probability of closing deals at each stage of a sales interaction, or the close rate of a company. The formula is "sales forecast = total value of current deals in sales cycle x close rate."Probability determines the likelihood of an event occurring: P(A) = f / N. The formula to calculate gross sales is Total Units Sold x Original Sale Price = Gross Sales.Multiply your estimated units sold by your price per unit and then multiply that result by how many months you projected revenue will cover. This is how much revenue you should expect to bring in for that product or service.Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.Also, Probability that there may be rain on first day, P(A) = 0.15Probability that there may be rain on second day, P(B) = 0.10Probability that there may be rain on third day, P(C) = 0.20Probability that there may be rain on fourth day, P(D) = 0.20Probability that there may be rain on fifth day, P(E) = 0.60It is also provided that these probabilities are independent of whether it rained on the previous day or not.Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
(1 - P(A))*(1 - P(B))* (1 - P(C))* (1 - P(D))* (1 - P(E))
= (1 - 0.15)*(1 - 0.10)*(1 - 0.20)*(1 - 0.20)*(1 - 0.60)
= 0.85* 0.90*0.80*0.80*0.40 = 0.19584
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