Answers
You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the \((-1)^n\) term.
Any alternating series is in the form \(\displaystyle \sum (-1)^n*a_n\) or \(\displaystyle \sum (-1)^{n+1}*a_n\) where \(a_n\) is any sequence.
Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.
Eg: (-7)^2 = 49 and (-3)^4 = 81
This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.
Put another way, \((-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1\)
So \(\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}\)
And it's why choice E is not one of the answers.
-------------------------
To summarize:The 3 answers are A, C, and DRelated Questions
(0, - 8) and (3, 2).
Answers
The equation of the line fully simplified in slope intercept form is y = 10/3x - 8
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation?The points are given as:
(0, - 8) and (3, 2).
Calculate the slope of the line using
m = (y2 - y1)/(x2 - x1)
This gives
m = (2 + 8)/(3 - 0)
Evaluate
m = 10/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 10/3(x -0) - 8
Evaluate
y = 10/3x - 8
Hence, the equation of the line fully simplified in slope intercept form is y = 10/3x - 8
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Complete question
Write the equation fully simplified slope intercept form of a line that passes though the points (0, - 8) and (3, 2).
the perimeter of a triangle is
88 centimeters. If two sides are equally long and the third side is
7 centimeters longer than the others, find the lengths of the three sides.
Answers
Target Costing
Instant Image Inc. manufactures color laser printers. Model J20 presently sells for $460 and has a product cost of $230, as follows:
Direct materials $175
Direct labor 40
Factory overhead 15
Total $230
It is estimated that the competitive selling price for color laser printers of this type will drop to $400 next year. Instant Image has established a target cost to maintain its historical markup percentage on product cost. Engineers have provided the following cost-reduction ideas:
Purchase a plastic printer cover with snap-on assembly, rather than with screws. This will reduce the amount of direct labor by 15 minutes per unit.
Add an inspection step that will add six minutes per unit of direct labor but reduce the materials cost by $20 per unit.
Decrease the cycle time of the injection molding machine from four minutes to three minutes per part. Forty percent of the direct labor and 48% of the factory overhead are related to running injection molding machines.
The direct labor rate is $30 per hour.
a. Determine the target cost for Model J20, assuming that the historical markup on product cost and selling price are maintained.
$fill in the blank 1
per unit
b. Determine the required cost reduction.
$fill in the blank 2
per unit
c. Evaluate the three engineering improvements together to determine if the required cost reduction (drift) can be achieved. Do not round interim calculations but round your final answers to two decimal places.
1. Direct labor reduction $fill in the blank 3
per unit
2. Additional inspection $fill in the blank 4
per unit
3. Injection molding productivity improvement $fill in the blank 5
per unit
Total savings $fill in the blank 6
per unit
Answers
The target cost for Model J20 is $2000.
The required cost reduction is $30.
The total saving will be $30.3.
How to compute the cost?The target cost will be:
= Sales price - (100% × Target cost)
= 400 - (100% × Y)
Y + Y = 400
2Y = 400
Y = 400/2 = 200
Target cost = $200
Therefore, the target cost is $200.
The required cost reduction will be:
= $230 - $200
= $30
The required cost reduction is $30.
The three engineering improvements together will be:
Direct labor reduction = 7.5
Additional inspection = 17
Injection molding = 5.8
Total savings = 30.3
The total savings is $30.3.
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The average age of doctors in a certain hospital is 42.0 years old with a standard deviation of 10.0 years. If 16 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 43.50 years. Assume that the variable is normally distributed. Group of answer choices
Answers
There is a 65.54% probability that the average age of those doctors is under 48.8 years.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
True mean = mean (or average)+/- Z*SD/sqrt (sample population)
Then,
Mean (average) = 48.0 years
The true mean must be less than 48.8 years.
SD = 6.0 years, and
Sample size (n) = 9 doctors
Using Z as the formula's subject:
Z= (True mean - mean)/(SD/sqrt (n))
Inserting values:
Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4
From the table of normal distribution probabilities:
At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%
Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.
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Complete question:
The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.
Daisy made mac and cheese for her nephew and used 1.5 cups of macaroni and 2 cups cheese. Later that week she made a larger batch. If she used the same recipe and used 4 cups of cheese. How many cups of macaroni did she use?
Answers
Answer:
42
Step-by-step explanation:
Hello, I need some help with Part 2 question 5! Please show work as the instructions asked! I included other completed work from the assignment for extra information.
Answers
SOLUTION
The given polynomial is:
\((x+7)(x-2)^2(x^2-4)(x+1)^4\)Using differece of squares, it follows:
\(\begin{gathered} (x^2-4) \\ =\lparen x^2-2^2) \\ =(x-2)(x+2) \end{gathered}\)Substituting the expression into the given polynomial gives:
\((x+7)(x-2)^2(x-2)(x+2)(x+1)^4\)Thus the polynomial becomes:
\((x+7)(x-2)^3(x+2)(x+1)^4\)Using the Fundamental Theorem of Algebra the number of roots of the polynomial is equal to the degree of the polynomial.
Thus the number of roots is:
\(1+3+1+4=9\)Therefore the number of roots is 9.
Notice that the factor with multiplicity of 3 is (x-2)
Therefore the code piece is E
Complete the square to write y = 3x2 + 12x + 7 in vertex form, y = a(x - h)2 + k.
Answers
The vertex form of the equation is y = 3(x + 2)^2 - 5
How to complete the square?The equation is given as:
y = 3x^2 + 12x + 7
Set to 0
3x^2 + 12x + 7 = 0
Subtract 7 from both sides
3x^2 + 12x = -7
Divide through by 3
x^2 + 4x = -7/3
-------------------------------------------------------------------
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)^2 = 4
-------------------------------------------------------------------
So, we add 4 to both sides of x^2 + 4x = -7/3
x^2 + 4x + 4 = -7/3 + 4
Express as perfect square
(x + 2)^2 = -7/3 + 4
Multiply through by 3
3(x + 2)^2 = -7 + 12
Evaluate
3(x + 2)^2 = 5
Subtract 5 from both sides
3(x + 2)^2 - 5 = 0
Rewrite as
y = 3(x + 2)^2 - 5
Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5
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Which of these shapes will tessellate without leaving gaps? A. Hexagon B. Octagon C. Pentagon D. Circle
Answers
The shape that can tessellate without leaving gaps is the hexagon (option A).
The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).
A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.
On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.
A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.
In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).
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How are triangleABC and triangle ADE related? How do you know pls explain.
Answers
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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If SE = 7 and EG = 20 , then SG =
Answers
What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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Patricia visited a friend who lives 120 miles away. On her way there she averaged 60 mph. On the way back, she only averaged 40 mph. What was the total amount of time she spent driving?
Answers
Answer:
5 hours
Step-by-step explanation:
120/60= 2
120/40= 3
3+2=5
In solving an equation with a variable, an operation can be applied to _____ side(s) of the equation.eitheroneboth
Answers
Given,
In solving an equation with a variable, an operation can be applied to ____ side(s) of the equation.
Required:
To complete the sentence.
The algebraic equation is a linear equation that contains variables and constant.
The equation is contain operation for both sides.
To get the value of the variable, equation can be solved by one side or both side.
Hence, In solving an equation with a variable, an operation can be applied to _both___ side(s) of the equation.
21. Which statement is a good definition?
Right angles are angles formed by two intersecting lines.
Skew lines are lines that do not intersect.
A
square is a rectangle with four congruent sides.
Parallel lines are lines that do not intersect.
Answers
The statement that is a good definition is D. Parallel lines are lines that do not intersect.
How to illustrate the information?A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.
Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.
Therefore, based on the information, the correct option is D
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Jason says the quotient 517 ÷ 5 is 103 r 2. Use multiplication to show if Jason's answer is correct.
Answers
Answer: No Jason is not orrect the anwser is 103.4 x 5= 517
Step-by-step explanation:
ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517
Determine where the local and absolute maxima and minima occur on the graph. Assume the domain is a closed interval 60 40 20 2 3 -20 -40 -60 X-value Extrema 4 absolute minimum none absolute maximum local minimum 0 local minimum absolute minimum local minimum absolute maximum
Answers
To find the extrema of a function, you need to look for points where the slope of the function is zero or undefined. These points are called critical points.
If a critical point is a local minimum, the slope of the function changes from negative to positive at that point. If it is a local maximum, the slope changes from positive to negative.
To determine whether a critical point is an absolute minimum or maximum, you need to compare the function values at the critical points to the function values at the endpoints of the domain. The lowest function value is the absolute minimum, and the highest function value is the absolute maximum.
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Correct question:
What is the process for finding the extrema of a function, and how do you determine whether a critical point is an absolute minimum or maximum?
Need help ASAP anybody got this??
Answers
Answer: uhm 6
Step-by-step explanation:
im not sure, but
1. y=9x
2. y=2x
1. Find the scale factor from the large figure to the small figure.
2. Find the scale factor from the small figure to the large figure.
Answers
Answer:
sorry I can see the whole answer on the image
An urn contains 10 red balls, 20 yellow balls, and 60 orange balls. If you reach into the urn and select a single ball at random, what is the probability of selecting a orange ball?
Answers
Answer:
2/3 or 67%
Step-by-step explanation:
To find the exact probability for you to reach into the orange balls you'll have to do a data table on which you'll include how many orange balls are by the total amount of balls that are within the urn.
For example:
The urn contains:
* 10 red balls
* 20 yellow balls
* 60 orange balls
Total amount of balls that you have on the urn is 90, you'll get this result by doing a simple addition of the table of content.
Afterwards, we have to find the probability, so you will have to take the amount of orange balls (which is 60) and divide it by 90 (Which is the total amount of balls you have on the urn).
60/90
A quick tip for you to do this on a simplified manner is by dividing the numerator and the denominator by their greatest common divisor (Which in this case is 30) (30x2 = 60) (30x3 = 90)
60/90 = (60 divided 30) / (90 divided 30) = 2/3
To resolve this problem, we get that the probability of selecting an orange ball is 2/3 or approximately 0.67 which we'll simplify to 67%
I hope this helped you
How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31
Answers
To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.
We are given the following measures:
\(\sf\:m\angle AB = 56 \\\)
\(\sf\:m\angle BC = 59 \\\)
\(\sf\:m\angle CD = 63 \\\)
\(\sf\:m\angle DE = 63 \\\)
\(\sf\:m\angle EF = 31 \\\)
To find the measure of the geometry-big circle, we add up these measures:
\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)
Substituting the given values:
\(\sf\:56 + 59 + 63 + 63 + 31 \\\)
Simplifying the expression:
\(\sf\:272 \\\)
Therefore, the measure of the geometry-big circle is 272.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Pls help me I am stuck tysm
Answers
a) The initial deposit in the account is given as follows: 1,287.39 euros.
b) The interest rate of the account is given as follows: 3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.Considering the balances after 5 and 6 years, the interest rate is obtained as follows:
r = 1524.60/1480.50 - 1
r = 0.03.
Considering the balance after 5 years, the initial deposit is obtained as follows:
P(1 + 0.03 x 5) = 1480.5
P = 1480.5/1.15
P = 1,287.39 euros.
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What is 8.6 increased by 75%
Answers
Answer:
15.05
Step-by-step explanation:
8.6 is 100% of 8.6.
To increase it by 75%, you'll end up with 175% of 8.6
175% of 8.6 =
= 1.75 * 8.6
= 15.05
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Find f(-3) for f(x) = 4(2)^x.
Answers
Answer:
1/2
Step-by-step explanation:
\(f( - 3) = 4 {(2)}^{ - 3} = \frac{1}{2} \)
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Zak and Sara work for a company that sells boxes of pet food.
The company wants to have a special offer.
Here is Zak's idea for the special offer.
Put 50% more pet food into each box and do not change the price.
Here is Sara's idea.
Reduce the price and do not change the amount of pet food in each box.
Sa wants her idea to give the same value for money as Zak's idea.
By what percentage does she need to reduce the price?
Answers
Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
To find the percentage by which Sara needs to reduce the price to provide the same value for money as Zak's idea, we need to compare the original price and the new price under Zak's idea.
Let's assume the original price of a box of pet food is P and the original amount of pet food in each box is A.
According to Zak's idea, the company will put 50% more pet food into each box without changing the price. Therefore, the new amount of pet food in each box will be 1.5A.
To calculate the value for money under Zak's idea, we divide the amount of pet food by the price:
Value for money (Zak's idea) = (1.5A) / P
Now, let's consider Sara's idea. She wants to reduce the price but keep the amount of pet food unchanged. Let's assume Sara reduces the price by a percentage represented by x.
Under Sara's idea, the new price of a box of pet food will be P - (x/100)P = P(1 - x/100).
Since Sara wants her idea to provide the same value for money as Zak's idea, we can equate the two value for money expressions:
(1.5A) / P = (A) / (P(1 - x/100))
Cross-multiplying and simplifying the equation:
1.5A * P(1 - x/100) = A * P
1.5(1 - x/100) = 1
Simplifying further:
1 - x/100 = 2/3
-x/100 = -1/3
x/100 = 1/3
x = 100/3
Therefore, Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
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Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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A scatterplot includes data showing the relationship between the value of a painting and the age of the painting.
Which graph displays the line of best fit for the data?
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is too steep.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit goes through the points.
Mark this and return
Answers
The graph that displays the line of best fit for the data is the one where the line with the best fit goes through the points.
To determine which graph displays the line of best fit for the data, we need to analyze the provided options and identify the one that represents the relationship between the value of a painting and the age of the painting accurately.In a scatterplot, the line of best fit represents the trend or relationship between the two variables. It aims to summarize and capture the general pattern of the data points. The line of best fit should pass through the data points in a way that represents the overall trend.Analyzing the options, we see that three of them mention that the line with the best fit is either too steep or not steep enough. These options suggest that the line does not accurately capture the trend of the data.However, the remaining option states that the line with the best fit goes through the points. This implies that the line accurately represents the relationship between the value of a painting and the age of the painting by passing through the data points.Based on this analysis, we can conclude that the graph where the line of best fit goes through the points is the one that displays the most accurate representation of the relationship between the value of a painting and the age of the painting.For more such questions on graph, click on:
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Answers
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the
probability the gymnast scores a 9 or 9.5?
Answers
Answer: 0.14
Step-by-step explanation: took the review and got it right
Considering that it is a probability distribution, it is found that there is a 0.14 probability the gymnast scores a 9 or 9.5.
What is the probability distribution?Researching on the internet, the probability of the gymnast getting each score is given by:
P(X = 5) = 0.02.P(X = 5.5) = 0.02.P(X = 6) = 0.06.P(X = 6.5) = 0.1.P(X = 7) = 0.16.P(X = 7.5) = 0.14.P(X = 8) = 0.18.P(X = 8.5) = 0.18.P(X = 9) = x.P(X = 9.5) = 0.02.Considering that it is a distribution, the sum of the probabilities has to be equals to 1, hence:
0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1
0.88 + x = 1
x = 0.12
The probability that the gymnast scores a 9 or 9.5 is:
p = P(X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14.
0.14 probability the gymnast scores a 9 or 9.5.
More can be learned about probability distributions at https://brainly.com/question/24855677