Answer:
21.2d + 12.4f
Step-by-step explanation:
Given that:
Width of rectangle = (5.5d+9.7f) centimeters
Length of rectangle = (5.1d-3.5f) centimeters
Perimeter of a rectangle : 2 (length + Width)
2 [(5.1d-3.5f) + (5.5d+9.7f)]
2[5.1d - 3.5f + 5.5d + 9.7f]
2[10.6d + 6.2f]
= 21.2d + 12.4f
Hence, the perimeter is :
21.2d + 12.4f)
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
Question 2
20 pts
If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is
the range?
O (-5,-2), (-7,0).(-4,1)
O (3.0), (5.-2), (2,-3)
0 (0,3), (-2,5),(-3,2)
O (-2,-5), (0, -7), (1, -4)
Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].
Then we proceed to find all elements of range:
[tex]A(x,y) = (1, -4)[/tex]
[tex]f(1,-4) = (-4+2,-1-4)[/tex]
[tex]f(1,-4) = (-2,-5)[/tex]
[tex]B(x,y) = (3,-2)[/tex]
[tex]f(3,-2) = (-2+2,-3-4)[/tex]
[tex]f(3,-2) = (0,-7)[/tex]
[tex]C(x,y) = (0,-1)[/tex]
[tex]f(0,-1) = (-1+2,0-4)[/tex]
[tex]f(0,-1) = (1,-4)[/tex]
Which corresponds to option D.
In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false
Answer:
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
Step-by-step explanation:
Solution:
In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.
The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.
The F test for overall significance has two hypotheses:
1- Null hypothesis:
The fit of the intercept only model and your model are equal.
2- Alternative hypothesis:
The fit of the intercept-only model is significantly reduced compared to your model.
Compare p-value for the F test,
If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.
2. What is the difference?
Complete the subtraction sentence.
5-5=
Answer:
0
Step-by-step explanation:
9. Mr. Stevenson is ordering shirts and hats for his Boy
Scout Troop. There are 60 scouts in the troop.
Hats come in packs of 3, and shirts come in packs of
5. What is the least number of packs each he
should order so that each scout will have 1 hat and
1 shirt, and none will be left over?
Answer:
20 hat packs and 12 shirt packs
Step-by-step explanation:
Scout total troops of boys is 60
Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least
Explanation:
At least no of hats -60/3-20
at least no of shirts -60/5-12
Thus we conclude that the total of at least shirts 12 and hats is 20 is true
To know more about troops
https://brainly.com/question/12539881?referrer=searchResults
38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The side length of a square with an area of 90 square inches falls between the integers
A and
B .
Answer:
9 and 10
Step-by-step explanation:
Area of a square = s², where s = side length
Given that the square has an area of 90 in², the side length (s) of the square = √90.
Thus, 90 is not a perfect square and it's square root won't give us an integer.
Thus, √90 lies between two perfect squares namely, 81 and 100.
Therefore, the side length of the square would be:
√81 < √90 < √100
9 < √90 < 10.
The side length of the square lies between 9 and 10.
Answer:
9 and 10
Step-by-step explanation:
What's the slop of ( 2.5),(6,13)
Answer:
2
Step-by-step explanation:
m=y2-y1/x2-x1
13-5=8
6-2=4
8/4=2
hope this helps :3
if it did pls mark brainliest
13(6x – 5) – x = 13 – 2(x + 1)
Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).
what is the length of the missing side , x
Answer:
Yes please i really need it
Step-by-step explanation:
Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?
Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks
A.
Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.
B.
Emma’s portfolio will be affected the most because it is limited to company stock.
C.
Neither portfolio will be significantly affected because both have a good mix of assets.
D.
Both portfolios will be equally affected because both have an equal amount of company stock.
Answer:
I believe it would be B, hoped I helped :)
Step-by-step explanation:
The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.
PortfolioSince both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma portfolio will be affected the most by the loss that was incurred.
The reason why Emma portfolio will be most affected is because his portfolio is limited to the company stock compare to that of Patricia’s
Therefore the correct option is B.
Learn more about portfolio here:https://brainly.com/question/14986133
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8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will cat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. a) What is the probability that none of the meals will exceed the cost covered by your company
Answer:
0.2637
Step-by-step explanation:
Population size is top 15 ranking restaurants.
Number of draws = 3
Number of observed successes = 5
Probability formula : [r . x } { n -r] [n - x]
solving the equation we get 24 / 91 which is approximately 0.2637
5) h(n) = -2n^2+ 4; Find h(4)
Answer:
h(4) = -28
General Formulas and Concepts:
Substituting into functionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
h(n) = -2n² + 4
h(4) is n = 4
Step 2: Solve
Substitute: h(4) = -2(4)² + 4Exponents: h(4) = -2(16) + 4Multiply: h(4) = -32 + 4Add: h(4) = -28Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use
Answer:
Sample size should be less than 85
Step-by-step explanation:
Sample size should be less than 85
Step-by-step explanation:
To use the infinite standard deviation formula, n has to be <= (0.05)(1700)
n <= 85
So the sample size has to be less than 85
In another way too,
n = sample size
N = population size
For population, we multiply correction factor to the infinite standard deviation
F is <= 0.05
[tex]n/{N} <0.05[/tex]
n<0.05x1700
n<85
Sample size should be less than 85
Who can help me with 9th grade math and got zoom?
Answer:
Me, I'm in 12th grade so sure. ^‿^
Step-by-step explanation:
what is point B on the number line?!?
Answer:
-0.4
hope this helps :)
How do you find the slope-intercept form from two points?
Answer:
Rise over run.
Step-by-step explanation:
If you have learned rise over run you will get it.
Owen earns a base salary of $925 per month as a salesman. In addition to his salary, he earns $85 per product that he sells. If his goal is to earn more than $4,500 per month, how many products does he need to sell? what would be the problem and solution?
Answer:
43
Step-by-step explanation:
Write 45%of m as an expression
Answer:
nh
Step-by-step explanation:
1. Compare using >,<, or =. d. 24 tenths ______2.5
Answer:
<
Step-by-step explanation:
[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
Find the slope between points (4,-5) and (5,-1)
Answer:
4
Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4
In a sample of 1000 U.S. adults. 217 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement.
Find the probability that both adults think most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that neither adult thinks most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that at least one of the two adults thinks most celebrities are good role models
(Round to three decimal places as needed)
Answer:
(a) 0.047
(b) 0.613
(c) 0.387
Step-by-step explanation:
In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.
The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.
Two U.S. adults are selected from this sample without replacement.
Let X denote the number of U.S. adults who think that most celebrities are good role models.
Both the individuals are independent of each other.
The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.
The probability mass function of X is:
[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]
(a)
Compute the probability that both adults think most celebrities are good role models as follows:
[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]
Thus, the probability that both adults think most celebrities are good role models is 0.047.
(b)
Compute the probability that neither adult thinks most celebrities are good role models as follows:
[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]
Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.
(c)
Compute the probability that at least one of the two adults thinks most celebrities are good role models as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]
Thus, the probability that at least one of the two adults thinks most celebrities are good role models is 0.387
For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.52. If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
Answer:
The correlation coefficient is r = 0.52
Step-by-step explanation:
From the question we are told that
The correlation coefficient is r = 0.52
Generally correlation has no unit and is not affected by unit (i.e it show the ratio between two quantities )
Hence a change of the unit of measurement of length from cm to mm will not affect the correlation coefficient r hence the value will still remain r = 0.52
Answer:
Step-by-step explanation:
what is 2848448 X 39494948
Answer:
1.12499306E14
Step-by-step explanation:
i did the math
anybody know this and can help me ?
find the rate of change ffor Y=4/5x-7/5
Answer:
4/5
Step-by-step explanation:
thats the slope so im assuming
Apply the distributive property to Factor
and the greatest common Factor 44+48
Do yoi think you can sovle this?
Free brainlest for answer, 25 points.
Answer:
23 did i get it?
(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …
Answer:
A
Step-by-step explanation:
is there a need for explanation