F A A B B E E F 2 Data Distribution by Variable between rows 3 and 9 - the probability of a scenario, e.g., Response = Yes is true in an 3 Response= |P(Response)= P(Age>=30) P(Income) 4 Yes Age>=30 0.
Answers
The probability of a scenario, i.e., Response = Yes, is true in a column that represents the product of two probabilities: P(Response) = P(Age >= 30) * P(Income). The data is distributed between rows 3 and 9. The formula in row 3 is used to calculate the probability of Response=Yes.
This formula is computed by multiplying the probability of Age>=30 and the probability of Income. The calculated value in row 4 is 0.216, the probability of a person with an Age >= 30 and Income responding with "Yes" to a certain question. The data distribution in rows 3-9 determines the probability of a certain outcome when two variables are involved.
The given table shows the probability of a certain scenario, i.e., Response = Yes. The probability of this scenario is calculated using two variables: Age and Income. The product of the probabilities of these two variables is used to compute the probability of Response = Yes. The data distribution in rows 3-9 of the table shows the probability of each variable.
Row 3 of the table shows the formula used to calculate the probability of Response = Yes. This formula is computed by multiplying the probability of Age >= 30 and the probability of Income. For example, the value in cell F4 of the table shows the probability of a person with an Age >= 30 and Income responding with "Yes" to a certain question. This value is 0.216 meaning the probability of such a scenario occurring is 21.6%.
To conclude, the given data distribution table helps to determine the probability of a certain scenario based on two variables, Age and Income. The table provides the probability of Response = Yes based on two variables, Age and Income. The data distribution in rows 3-9 is used to calculate the probability of each variable.
The formula in row 3 calculates the probability of Response = Yes. This formula is obtained by multiplying the probability of Age >= 30 and the probability of Income. The computed values in rows 4-9 represent the probability of a certain scenario occurring based on these two variables.
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Related Questions
alonzo, bob, and casper work bussing tables at a restaurant. alonzo has a 50% chance, bob has a 15% chance, and casper has a 35% chance of bussing tables in the middle area of the restaurant. if alonzo is bussing tables, he has a 6% chance of breaking a dish. if bob is bussing tables, he has a 2% chance of breaking a dish. finally, if casper is bussing tables, he has a 4% chance of breaking a dish. if there is a broken dish in the middle of the restaurant, what is the probability it was broken by bob?
Answers
The probability was broken by Bob is, 0.003 or 3%.
What is probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
Alonzo, Bob, and Casper are each assigned three chances to bus tables and to fix any broken dishes, respectively.
P(Alonzo bussing tables) = 50% = 0.5
P(Bob bussing tables) = 15% = 0.15
P(Casper bussing tables) = 35% = 0.35
P(Alonzo breaking a dish) = 6% = 0.06
P(Bob breaking a dish) = 2% = 0.02
P(Casper breaking a dish) = 4% = 0.04
As the likelihood of dish breakage does not change with the busing of the tables, this is all about independent events.
Consequently, P(A and B) = P(A) + P (B)
So, if a dish is broken, the likelihood that Bob broke it is;
P(Bob breaking dishes and busing tables) = P(Bob busing tables) x P (Bob breaking a dish)
= 0.15 x 0.02
= 0.003
P(Bob breaking dishes and busing tables) = 0.003 0r 0.3%
Hence, the probability was broken by Bob is, 0.003 or 3%.
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The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.
Part A: How much did Ron pay in sales tax? Show all work and steps in your solution.
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution.
Answers
Answer:
1. Ron paid 4 dollars on sales tax and 2. The total Ron paid was 28.99
Step-by-step explanation:
Answer:
Answer to Part A: To solve this we must first find out how much of a discount is there. First we must divide 49.99 by 2 which equals about 24.99. After that we minis the discount with the original price, which equals 25.00. Then we divide 25.00 by 8 which equals 3.12. So then the sales tax must be 3.12 dollars.
Answer to Part B- First do all the math from Part A, then just add 3.12 to the price of 25.00. Which equals 28.12 so the answer must be 28.12 Dollars.
Step-by-step explanation:
Answer to Part A: To solve this we must first find out how much of a discount is there. First we must divide 49.99 by 2 which equals about 24.99. After that we minis the discount with the original price, which equals 25.00. Then we divide 25.00 by 8 which equals 3.12. So then the sales tax must be 3.12 dollars.
Answer to Part B- First do all the math from Part A, then just add 3.12 to the price of 25.00. Which equals 28.12 so the answer must be 28.12 Dollars.
help
(4 points) Suppose that f and g are differentiable functions such that f(0) = -2, f'(0) = 4, g(0) = -1 and g'(0) = 3. Evaluate (f/g)'(0). bar, press ALT+F10 (PC) or ALT-FN-F10 (Mac) VS Paragraph
Answers
f and g are differentiable functions such that f(0) = -2, f'(0) = 4, g(0) = -1 and g'(0) = 3, then (f/g)'(0) is 2.
To evaluate (f/g)'(0), we will use the quotient rule for differentiation which states that if you have a function h(x) = f(x)/g(x), then h'(x) = (f'(x)g(x) - f(x)g'(x))/[g(x)]^2.
In this case, f(0) = -2, f'(0) = 4, g(0) = -1, and g'(0) = 3.
So, we can apply the quotient rule to find (f/g)'(0) as follows:
(f/g)'(0) = (f'(0)g(0) - f(0)g'(0))/[g(0)]^2
(f/g)'(0) = (4 * -1 - (-2) * 3)/(-1)^2
(f/g)'(0) = (-4 + 6)/(1)
(f/g)'(0) = 2
So, the value of (f/g)'(0) is 2.
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In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical rule to determine the number of students who scored less than 65 or more than 75.
Answers
Approximately 64 students in the accounting class scored less than 65 or more than 75.
To solve this, we'll use the Empirical Rule, which states that for a normal distribution:
1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.
In your accounting class, the mean score is 70, and the standard deviation is 5. We want to find the number of students who scored less than 65 (one standard deviation below the mean) or more than 75 (one standard deviation above the mean).
Using the Empirical Rule, we know that about 68% of students scored between 65 and 75 (within one standard deviation of the mean). Therefore, the remaining 32% of students scored either less than 65 or more than 75.
Since there are 200 students in the class, we can calculate the number of students who scored less than 65 or more than 75:
0.32 * 200 = 64 students
So, approximately 64 students in the accounting class scored less than 65 or more than 75.
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How to solve this equation?
X^2=20
Answers
Answer:
You can rewrite it to figure out the square root of 20 which would give you the value 4.47214...
Step-by-step explanation:
Answer: x = 4.5
Step-by-step explanation:
x^2 = 20
√x = √20 -- find the square roots
x = 4.47 --> x = 4.5
The sweatshirts that a school sells all have the same price. If the school sells 300, they make a total of $9,987.00 in sales.
Answers
If the school sells 300 sweatshirts and they make a total of $9,987.00 in sales, it implies that each sweatshirt was sold for $33.29, using division operation.
What is a division operation?A division operation is one of the four basic mathematical operations. Others include addition, subtraction, and multiplication.
A division operation consists of the following parts: dividend (the number being divided), the divisor, and the quotient, including the division operand (÷) with the equal symbol (=).
The total sales revenue = $9,987
The number of sweatshirts sold = 300
The unit rate or selling price per unit = $33.29 ($9,987/300)
Thus, the selling price per unit is $33.29.
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Question Completion:What is the selling price per unit?
Rajan brought a book for Rs 180 and sold it to sajan at a profit of 20%. Sajan sold that book to Nirajan at a loss of20%. At what price Nirajan should sell the book to receive 5% profit.
Answers
Answer:
Ans: Rs 181.44.
Step-by-step explanation:
What inequality describes the solutions of 2y < 87
Answers
Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years. Knowing also This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $160,000.
How much interest have you paid so far (over the last 10 years)?
and How much interest will you pay over the life of the new loan?
Answers
The amount of interest paid so far (over the last 10 years) is $78,636 and the amount of interest you will pay over the life of the new loan is $99,999.17.
In order to find out how much interest has been paid so far, we need to find out how much the initial loan was. The down payment made on the home was 10%, so:
Down payment = 10% of $110,000
Down payment = 0.10 × $110,000 = $11,000
So the initial loan was the difference between the price of the home and the down payment:
Initial loan = $110,000 - $11,000
Initial loan = $99,000
Now we can use the loan balance and the initial loan to find out how much of the loan has been paid off in 10 years:
Amount paid off so far = Initial loan - Loan balance
Amount paid off so far = $99,000 - $88,536
Amount paid off so far = $10,464
Now we can find out what percentage of the initial loan that is:
Percent paid off so far = (Amount paid off so far / Initial loan) × 100
Percent paid off so far = ($10,464 / $99,000) × 100
Percent paid off so far = 10.56%
So the amount of interest paid so far is the total payments made minus the amount paid off:
Interest paid so far = Total payments - Amount paid off
Interest paid so far = ($99,000 × 0.09 × 10) - $10,464
Interest paid so far = $89,100 - $10,464
Interest paid so far = $78,636
So the interest paid so far is $78,636.
The life of the new loan is the remaining 20 years of the original 30-year loan. The interest rate is still 9%. To find out how much interest will be paid over the life of the new loan, we can use an online loan calculator or a spreadsheet program like Microsoft Excel.
Using an online loan calculator with a loan amount of $88,536, a term of 20 years, and an interest rate of 9%, we get the following result:
Total payments over life of loan = $188,535.17
Principal paid over life of loan = $88,536.00
Interest paid over life of loan = $99,999.17
So the interest paid over the life of the new loan is $99,999.17.
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what is the equation of the line which has a gradient of 2 and passes through the point (1,4)
Answers
Answer:
Y= 2x+2
Step-by-step explanation:
line equation is y=mx +c
m is the gradient = 2
We are given an x and y value
X= 1
y= 4
substitute that into the equation:
4= 2(1) +c
2=c
Put all the equation together:
Y= 2x+2
Please Help me.
See the picture
Answers
Answer:
g(-1)= 9/4
g(2)= -1
g(5)= 3/4
Test: Exam 2 Question 16 of 17 This test 250 points) possible This question: 16 point possible Submit test Asume that you have a sample of ne-7, with the sample moan X-44, and a sample standard deviation of 5, 6, and you have an independent sample of my * 17 from another population with a sample mean of Xs - 38 and the sample standard deviation S-5. Complete parte () through (d) Click here for page 1 of entical tesoft. Click here for page 2 of critical values of GED .. What is the value of the pode variance 'stat test statute for testing Her ? TAT-O (Type an integer or a decimal rounded to four decimal places as needed.) b. In finding the articol value / how many degrees of freedom are there? degrees of of freedom c. Using a significance level of a = 6.25, what is the critical value for a ono tail test of the hypothesis Hy is by against the alternative Hq 142 >722 The critical value is 2 Type an integer or a decimal rounded to four decimal places as needed) d. What is your statistical decision? O A Raject Hy because the computed tomar test status in house than the uppertal critical value Time Remaining: 01:57:22 Next 14 NO A U MacBook Pro d. What is your statistical decision? O A. Reject Hy because the computed tgtat test statistic is less than the upper-tail critical value. O B. Do not reject Hy because the computed tstat test statistic is less than the upper-tail critical value. OC. Reject He because the computed tgtar test statistic is greater than the upper-tail critical value. OD. Do not reject H, because the computed tgtar test statistic is greater than the upper-tail critical value. 14 MacBook Pro
Answers
the population mean of the two samples is different from each other.Reject He because the computed test statistic is greater than the upper-tail critical value. So correct answer is C
a) The pooled variance 'stat test statistic' for testing H0 is 5.8444
b) In finding the critical value / there are 14 degrees of freedom.
c) The critical value for a one-tail test of the hypothesis H0 is 1.7462. The significance level is 0.0625, therefore 1 - 0.0625 = 0.9375. Then, you look up the corresponding t-distribution with degrees of freedom = 14 at the 0.9375 level of significance in the t-table to get the critical value.
d) Your statistical decision is to Reject H0 because the computed test statistic t = 5.3688 is greater than the upper-tail critical value t = 1.7462.
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express the vector with initial point (1,-1) and terminal point (4,2) as a linear combination of the standard unit vectors.
a. 3i + 3j
b. 5i + j
c. 3i - 3j
d. -3i + 3j
e. 3i + 4j
f. none of these
Answers
The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .
In the question ,
it is given that ,
the initial point of the vector = (1 , -1)
the terminal point of the vector = (4,2)
we know that the vector with initial point (x₁ , y₁) and (x₂ , y₂) is calculated using the formula
V = (x₂ - x₁)i + (y₂ - y₁)j
Substituting the values from the point ,
we get the vector as
V = (4 - 1)i + (2 -(-1))j
V = 3i + (2 + 1)j
V = 3i + 3j
Therefore , The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .
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Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Answers
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
\(\mathbf{n = 10}\) --- total number of students
\(\mathbf{Boys = 4}\) --- total number of boys
\(\mathbf{Girls = 6}\) ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
\(\mathbf{P = P(Girl) \times P(Girl)}\)
The selection is without replacement.
So, we have:
\(\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}\)
Substitute known values
\(\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}\)
\(\mathbf{P = \frac{6}{10} \times \frac{5}{9}}\)
Simplify
\(\mathbf{P = \frac{1}{3}}\)
Hence, the probability is 1/3
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PLZ PLZ PLZ HELP
Consider the function f (x) = −2/3x + 5
What is f (25)?
A) 3
B) 10/3
C) 1/3
D) 3/10
Answers
Answer:
Step-by-step explanation:
f (2/5 ) = −2/3*2/5 + 5
Which is -4/15+5
Which is 71/15
But it is not one of the multiple choices please update when you figure out where you copied incorrectly
10 ft
20 ft
15 ft
Find the area.
A = [?] ft²
Round to the nearest
hundredth.
![10 ft20 ft15 ftFind the area.A = [?] ftRound to the nearesthundredth.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/WEVZnSJdbvwoSHD6PYsO1UrNMnWzZbYQ.png)
Answers
The total area of the composite figure is 114.25 square feet.
How to find the area of the shape?The area of a circle of diameter D is:
A = 3.14*(D/2)²
And the area of a triangle of base B and height H is:
A = B*H/2
We can decompose the figure into two simpler ones, a triangle of base of 10ft and height of 15 ft, whose area is:
A = 10ft*15ft/2 = 75ft²
And half of a circle of diameter of 10ft, whose area is:
A = 0.5*3.14*(10ft/2)² = 39.25 ft²
Then the total area of the figure is:
area = 75ft² + 39.25 ft² = 114.25 ft²
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complete the diagrams to represent each fractions. ( a) , ( c ) and (d).
Answers
1) The fraction is given as,
\(\frac{1}{4}\)c) The fraction is given as,
\(1\frac{3}{2}\)d) The fraction is given as,
\(2\frac{1}{2}\)
Determine the value of x.
4.375 units
4.59 units
13.95 units
15 units
Answers
Answer:
13.95 units
Step-by-step explanation:
\( \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units\)
Find the x-intercept(s) of the following equation.
Answers
Answer:
The first answer
Step-by-step explanation:
Looking at the graph we can see that the line crosses the x-axis (horizontal line) at (-2,0) and (0,0) so those are the two x intercepts because that is where the line intercepts the x axis
I hope this helps!
Consider the argument form: p ∧ ∼ q → r p ∨ q q → p Therefore r. Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer.
Answers
The argument is not valid.
The argument form is: p ∧ ∼ q → r, p ∨ q, q → p, therefore r. We can use the truth table to determine whether this argument is valid or invalid. Here is the annotated truth table:
p
q
∼q
p ∧ ∼q
p ∨ q
p ∧ ∼q → r
q → p
r
T
T
F
F
T
T
T
T
T
F
T
T
T
T
T
T
F
T
F
F
T
T
F
F
F
F
T
F
F
T
T
F
From the truth table, we can see that the conclusion r is not always true, even when all the premises are true. For example, in the third row of the table, all the premises are true, but the conclusion is false. This means that the argument is invalid. The truth table supports this conclusion because it shows that there are cases where the premises are true but the conclusion is false. Therefore, the argument is not valid.
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Which label on the cone below represents the radius?
Answers
Answer:
the radius found on the letter c
Answer:
the radius found on the letter c
An equation is represented by the model below
What is the value of x that makes the equation true?
If you can may someone explain how to do this also? Thanks!
Answers
Answer:
The value of x=5!
Step-by-step explanation:
I remeber ing this!!!:)
Solve for the value of x.
Answers
4. Use the hyperbola equationand y-values in the table.(2 - 21) (y - yı)a262= 1 to find the y-values to the nearest integer from the gis(2-2)²9( 1)4y6210100 - 40-6-202
Answers
Isolate y from the equation:
\(\frac{(x-2)^2}{9}-\frac{(y-1)^2}{4}=1\)\(\Rightarrow-\frac{(y-1)^2}{4}=1-\frac{(x-2)^2}{9}\)\(\begin{gathered} \Rightarrow(y-1)^2=(1-\frac{(x-2)^2}{9})(-4) \\ =\frac{4}{9}(x-2)^2-4 \end{gathered}\)\(\begin{gathered} \Rightarrow y-1=\pm\sqrt[]{\frac{4}{9}(x-2)^2-4} \\ \Rightarrow y=1\pm\sqrt[]{\frac{4}{9}(x-2)^2-4} \end{gathered}\)Substitute x=10 to find the two possible values for y:
\(\begin{gathered} y=1\pm\sqrt[]{\frac{4}{9}(10-2)^2-4} \\ =1\pm\sqrt[]{\frac{4}{9}(8)^2-4} \\ =1\pm\sqrt[]{\frac{4}{9}(64)^{}-4} \\ =1\pm\sqrt[]{\frac{256}{9}-4} \\ =1\pm\sqrt[]{\frac{256-36}{9}} \\ =1\pm\sqrt[]{\frac{220}{9}} \\ =1\pm\frac{2\sqrt[]{55}}{3} \end{gathered}\)The aproximate values of y are:
\(\begin{gathered} y_1\approx5.944\ldots \\ y_2\approx-3.944\ldots \end{gathered}\)To the nearest whole number, we can see that the second value of y is approximately -4.
On a sunny day, Andrew, who is 1.9 m tall, casts a shadow that is 3.5 m long. A nearby tree casts a shadow that is 28.0 m long. To the nearest tenth of a metre, how tall is the tree?
Answers
Answer:
15.2
Step-by-step explanation:
The explanation is in the photo.. but basically this question is about similar triangles and you need to find the scale factor to find the height.
Hope it helps
the height of the tree is approximately 15.2 meters.
To find the height of the tree, we can set up a proportion between Andrew's height and the height of the tree based on their respective shadow lengths.
Let's denote the height of the tree as "h" meters.
The proportion between the height and shadow lengths can be written as:
h / 28.0 = 1.9 / 3.5
Now, we can solve for "h":
h = (1.9 / 3.5) * 28.0
h ≈ 15.2 meters
To the nearest tenth of a meter, the height of the tree is approximately 15.2 meters.
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In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
Answers
Help. Please? Really need some help please?
Answers
Answer:
To solve this problem, we need to calculate the compound interest on the loan over the 9-year period. We can break this down into two parts: the first 5 years, during which the interest rate is 7%, and the remaining 4 years, during which the interest rate is 11%.
For the first 5 years, we can use the formula for compound interest:
A = P * (1 + r/n)^(n*t)
where A is the amount after t years, P is the principal (the initial amount borrowed), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $1350, r = 0.07, n = 1 (compounded annually), and t = 5. Plugging in these values, we get: A = 1350 * (1 + 0.07/1)^(1*5) = $1872.73 (rounded to the nearest cent)
So after 5 years, Imaan owes $1872.73.
For the remaining 4 years, we can use the same formula with r = 0.11 and t = 4: A = 1872.73 * (1 + 0.11/1)^(1*4) = $2959.77 (rounded to the nearest cent)
So after 9 years, Imaan owes $2959.77. However, this is the amount she would owe if she paid back the loan in a single payment at the end of 9 years. If she pays back the loan in installments, she will need to pay interest on the outstanding balance each year. Without information about the payment schedule, we can't calculate the exact amount she will have to pay back.
The amount Imaan has to pay back, after 9 years at 5% and 11% per annum interest, obtained using the compound interest formula is about $2,616
What is a compound interest rate?A compound interest is an interest calculated using based on the interest earned on from previous periods of the investment or loan.
The amount, A, Imaan pays back after 9 years can be obtained using the compound interest formula as follows;
A = P·(1 + r)ⁿ
Where;
P = The principal amount borrowed = $1,350
r = The interest rate = 7% and 11%
n = The number of years = 5 years and (9 - 5) years
The value of the loan after the first 5 years is therefore;
A = $1350 × (1 + 5/100)⁵ ≈ $1722.98
The value of the loan after the next four years, at 11% per annum, interest rate is therefore;
A = $1,722.98 × (1 + 11/100)⁴ ≈ $2616
The value of the loan, and the amount Imaan has to pay back after the 9 years is about $2,616
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x(1+y)=z, for x
\(x(1 + y) = z for x\)
Answers
I really hope this helps heh.
HELP PLZ
The kingdom of Arendelle is trying to decide who to send to the regional track meet. Anna, Elsa, and Olaf competed in the long jump and their 6 jumps are shown below (in meters). Kristoff says that Olaf has the longest average, so he should be sent to the track meet. Do you agree or disagree? Why?
Answers
Please find table attached
Answer:
Agree: Olaf should be sent to the track meet because he has the longest average
Step-by-step explanation:
To ascertain if this is true, we must calculate the average for each athlete
Mean or average of athlete= total score of jumps/ number of jumps
Average for Anna= 3.25+3.95+4.28+2.95+3.66+3.81/6 = 3.65
Average for Elsa=3.55+3.88+3.61+3.97+3.75+3.59/6
=3.725
Average for Olaf=3.67+3.78+3.92+3.62+3.85+3.73/6
= 3.76
Therefore Olaf has the longest average =3.76
4. Find the product. (4.0 × 10^-2) × (5.2 × 10^8) (1 point)
20.8 x 10^8
2.08 x 10^7
2.08 x 10^6
20.8 x 10^7
Answers
Answer:
2.08 × \(10^{7}\)
Step-by-step explanation:
Multiply 4 × 5.4 to get 20.8. Then multiply \(10^{-2}\) × \(10^{8}\) = \(10^{6}\)
However, that is not an answer. So, you can divide 20.8 by 10 and multiply \(10^{6}\) × 10.
Then you get 2.08 × \(10^{7}\)