The average value of the function f(x) = 3x2 + 4x on the interval [-1, 2] is about 4.67.
To find the average value fave of the function f(x) = 3x2 + 4x on the interval [-1, 2], solve the definite integral of f(x) over the interval and then divide by the interval length.
The definite integral of f(x) over the interval [-1, 2] can be calculated as follows:
[tex]∫[-1,2] (3x^2 + 4x) dx = [x^3 + 2x^2] between x = -1 and x = 2 = (23 + 2(22)) - ((-1)^3 + 2(-1)^2) \s= 14[/tex]
The interval length is 2 - (-1) = 3.
As a result, the average value fave of f(x) on the interval [-1, 2] is as follows:
fave =[tex](1/3) * ∫[-1,2] (3x^2 + 4x) dx \s= (1/3) * 14 \s[/tex]= 4.67 (rounded to two decimal places) (rounded to two decimal places)
As a result, the average value of the function f(x) = 3x2 + 4x on the interval [-1, 2] is about 4.67
To learn more about function.
https://brainly.com/question/12431044
#SPJ4
.
The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit. True/False?
The statement is True ' The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit"
A supply curve: what is it?
The relationship between the quantity of a good that a producer is willing to sell and the price of the good is graphically represented by the supply curve in economics.
The maximum price a producer will accept to sell a given quantity of the good is represented by the height of the supply curve at that quantity.
As a result, the minimum price necessary to persuade a producer to supply the 100th unit of the good is represented by the height of the supply curve at a quantity of 100.
https://brainly.com/question/30648723
know more about supply curve click here;
#SPJ4
A line has a slope of -2/3 and passes through the point (6, -10). What is the equation of the line?
Answer:
= 3y-2x+18=0
Step-by-step explanation:
Gradient (m) = -2/3
The equation of the line is given by the formula
[tex] = \frac{y - y1}{x - x1} = m[/tex]
Point = (6,-10)
y1 = -10
x= 6.
note// y and x were not given .
=
[tex] = \frac{y - ( - 10)}{x -6} = \frac{ - 2}{3} \\ = \frac{y + 10}{x - 6} = \frac{ - 2}{3} \\ = 3(y + 10) = - 2(x - 6) \\ = 3y + 30 = - 2x + 12 \\ = 3y = - 2x + 12 - 30 \\ = 3y = 2x - 18 \\ = 3y - 2x + 18 = 0[/tex]
therefore the equation of the line = 3y-2x+18=0
+Ready
Practice Write and Solve Mulo-Step Equations-Quid-Level
Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.
The perimeter of the quadrilateral is 40 inches.
Write an equation that represents
the situation.
+
9
3
7
40
11
7
9
9
The equation that represents the situation is q = 40 - 7
How to determine the perimeterThe formula for the perimeter of a quadrilateral is expressed as;
P = a + b + c + d
Where the sides, a , b , c and d are all the sides of the quadrilateral
From the information given, we have that;
The sides are a, the fourth is 7
The perimeter = 40 inches
Substitute the values
40 = 7 + q
collect the like terms, we get
q = 40 - 7
subtract the values
q = 33 inches
Learn about quadrilaterals at: https://brainly.com/question/16691874
#SPJ1
given that the electricity for home use is 5 cents per kilowatt-hour (kwh), how much would it cost to operate 5 fluorescent 40w light bulbs for the months of april and may if they are on for 3 hours/day?
The total cost to operate 5 fluorescent 40w light bulbs for the months of April and May if they are on for 3 hours/day is given as follows:
$1,830.
How to obtain the total cost?The total cost is obtained applying the proportions in the context of the problem.
The number of kilowatt hours is given as follows:
200 kw in total per day, as 5 bulbs of 40 kw -> 40 x 5 = 200 kw.Bulbs are on for 30 + 31 = 61 days.Each day, the bulbs are on for 3 hours.Hence:
200 x 61 x 3 = 36,600 kwh.
The cost is of $0.05 per kwh, hence the total cost is given as follows:
0.05 x 36600 = $1,830.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
which of the following numbers are irrational. -4.8237, pi/2, 3 to the rooted power of 4, or 4 + the square root of 25?
The irrational number for this problem are given as follows:
pi/2.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.
For this problem, we have that the number pi/2 is irrational, as pi is a non-terminating decimal, and the division of an irrational by a rational results in an irrational.
More can be learned about rational and irrational numbers at brainly.com/question/5186493
#SPJ1
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input 1 2 3 4 n
output 9 13 17 21
Answer:
y = 4n + 5
Step-by-step explanation:
y is your output and n in your input
y = 4n + 5
When the input is 1, the out put is 9
y = 4n + 5
y = 4(1) + 5
y = 4 + 5
y = 9
When the input is 2, the output is 13
y = 4n + 5
y = 4(2) + 5
y = 8 + 5
y = 13
And so on and so on....
in a shipment of 66 vials, only 14 do not have hairline cracks. if you randomly select 4 vials from the shipment, what is the probability that all 4 of the selected vials have hairline cracks?
that the probability of selecting 4 vials with hairline cracks is approximately 0.0375, or 3.75%
We can solve this problem using the hypergeometric distribution, which is used when sampling without replacement from a finite population. In this case, we have a population of 66 vials, out of which 14 are good (do not have hairline cracks) and 52 are bad (have hairline cracks). The probability of selecting all 4 bad vials (with hairline cracks) can be calculated as follows: P(4 bad vials) = (number of ways to choose 4 bad vials) / (total number of ways to choose 4 vials)
The number of ways to choose 4 bad vials from 52 is: C(52,4) = 52! / (4! × (52-4)!) = 270725
The total number of ways to choose 4 vials from 66 is: C(66,4) = 66! / (4! × (66-4)!) = 7219420
Therefore, the probability of selecting all 4 bad vials is: P(4 bad vials) = 270725 / 7219420 = 0.0375
This means that the probability of selecting 4 vials with hairline cracks is approximately 0.0375, or 3.75%
To learn more about probability click here
brainly.com/question/30034780
#SPJ4
How many times dose 6 go into 18
Answer:
3 times
Step-by-step explanation:
6 x 3 = 18
Answer:
3
Step-by-step explanation:
18/6 = 3
or
6 + 6 + 6 = 18
An aeroplane flies 1400km in 1h 45mins.how far will it fly in 2h 30min at the same avarage speed?
Answer:
The aeroplane will fly 2000 km if travelling at the same average speed.
Step-by-step explanation:
To calculate the distance an aeroplane will fly in 2 h 30 min if it flies 1400 km in 1 h 45 mins, use the Speed Distance Time formula.
[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]
There are 60 minutes in one hour. Therefore:
1 h 45 mins = 1.75 hours2 h 30 mins = 2.5 hoursTo calculate the speed of the aeroplane, divide the distance by the time it takes to travel that distance. Therefore, if an aeroplane flies 1400 km in 1.75 hours then its average speed is:
[tex]\sf Speed=\dfrac{1400\;km}{1.75\;h}=800\;km/h[/tex]
To determine the distance the aeroplane will travel in 2.5 hours, multiply the found speed of 800 km/h by the time:
[tex]\sf Distance=800\;km/h \times 2.5\;h=2000\;km[/tex]
Therefore, the aeroplane will fly 2000 km in 2 h 30 min if travelling at the same average speed.
Mr. Powell manages a department store and needs an easy way to look up products on the
computer. He wants to assign each product in his department a unique code that will be the sa
number of letters long and use only the letters A, B, and C in the code. How many letters long
each code need to be so that Mr. Powell can account for all 1, 510 products?
O 12
06
07
O 504
The required number of letters to code for 1510 products is given as 7 letters.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets.
Here,
There are 3 possibilities for a letter,
Suppose we need n letters
so 3ⁿ > 1510
Since we need to code for 1510 products that means 3ⁿ must be greater than 1510
So
3⁶ < 1510
3⁷>1510
Thus, the required number of letters to code for 1510 products is given as 7 letters.
Learn more about permutations and combinations here:
https://brainly.com/question/13943501
#SPJ9
Hayden use 2.25 cups of water in his lemonade mixture that serves nine people Christian use 3.75 cups of water in his own lemonade mixture that serves 10 people how much more water is in one serving of Christians lemonade.
One serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.
What is lemonade?Lemonade is a sweetened beverage made from lemon juice, water, and sugar. It is typically served cold, and may also include other ingredients such as fruit, herbs, or carbonated water. Lemonade is a popular summer drink that is enjoyed in many parts of the world.
First, we can find the amount of water per serving in Hayden's lemonade by dividing the total amount of water (2.25 cups) by the number of servings (9 people):
Water per serving in Hayden's lemonade = 2.25 cups / 9 = 0.25 cups per serving
Next, we can find the amount of water per serving in Christian's lemonade by dividing the total amount of water (3.75 cups) by the number of servings (10 people):
Water per serving in Christian's lemonade = 3.75 cups / 10 = 0.375 cups per serving
To find how much more water is in one serving of Christian's lemonade compared to one serving of Hayden's lemonade, we can subtract the water per serving in Hayden's lemonade from the water per serving in Christian's lemonade:
Water per serving difference = 0.375 cups per serving - 0.25 cups per serving = 0.125 cups per serving
Therefore, one serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.
To know more beverage visit:
brainly.com/question/20302225
#SPJ1
Which digit(s) makes 3,71_ divisible by 3?
A. 3 only
B. 7 only
C. 1 only
D. 1, 4, and 7
Answer: I think B. 7 only
Step-by-step explanation: I hope this helps and I hope everyone is having a good day/Friday&weekend^^
A large rectangular movie screen in an IMAX theater has an area of 11,224 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide
With an area of 11,224 square feet and the dimensions of the screen if it is 30 feet longer than it is wide, the width of the screen is 91.5 feet, and the length of the screen is 121.5 feet.
Let's call the width of the screen "w". Then, the length of the screen would be "w + 30". The area of the screen is 11,224 square feet, so we can set up an equation:
w * (w + 30) = 11,224
Expanding the right side of the equation, we get:
w^2 + 30w - 11,224 = 0
We can use the quadratic formula to solve for w:
w = (-b ± √(b^2 - 4ac)) / 2a
Where a = 1, b = 30, and c = -11,224.
Plugging in the values, we get:
w = (-30 ± √(30^2 - 4 * 1 * -11,224)) / 2 * 1
= (-30 ± √(900 + 44,896)) / 2
= (-30 ± √(45,796)) / 2
= (-30 ± 213) / 2
Taking the positive solution, we get:
w = (183 / 2) = 91.5 feet
So the width of the screen is 91.5 feet, and the length of the screen is 91.5 + 30 = 121.5 feet.
To learn more about area click on,
https://brainly.com/question/14726830
#SPJ4
Which triangles could not be similar to triangle ABC ? triangle a b c where angle b is a right angle. Side a b is 15 cm. Side b c is 8 cm. Side a c is 17 cm. Select each correct answer. Right triangle G H I with right angle at H. G H is 77 centimeters. G I is 85 centimeters. H I is 36 centimeters. Right triangle J K L with right angle at K. J K is 60 centimeters. J L is 68 centimeters. K L is 32 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle D E F with right angle at E. D E is 22. 5 centimeters. D F is 25. 5 centimeters. E F is 12 centimeters
Answer:
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The dimension of the triangle ABC is 15 cm, 17 cm, and 8 cm. And the triangle is a right-angle triangle. Then the other two angles are given as,
sin θ = 15 / 17
sin θ = 0.88235
θ = 61.93°
∅ = 90° - 61.93°
∅ = 28.07°
Let's check all the options. Then we have
A. 22.5 cm / 25.5 cm, then the sine of the angle is given as,
sin x = 22.5 / 25.5
x = 61.93°
B. 60 cm / 68 cm, then the sine of an angle is given as,
sin x = 60/68
x = 61.93°
C. 77 cm / 85 cm, then the sine of an angle is given as,
sin x = 77/85
x = 64.94°
D. 35 cm / 37 cm, then the sine of an angle is given as,
sin x = 35/37
x = 71.08°
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
Correct me if im wrong :)
the lengths of human pregnancies (gestation) can be modeled by a bell-shaped distribution with mean 266 days and standard deviation 16 days. a certain pregnancy had a z-score of -2.5 (negative 2.5). how many days did this pregnancy last?
If a certain pregnancy had a z-score of -2.5 with mean 266 days and standard deviation 16 days , the pregnancy lasted 230 days.
We know that the length of human pregnancies can be modeled by a normal distribution with a mean of 266 days and a standard deviation of 16 days.
We are also given that a certain pregnancy had a z-score of -2.5. The z-score is a measure of how many standard deviations a data point is away from the mean. A negative z-score means that the data point is below the mean.
We can use the formula for converting a z-score to an actual value in a normal distribution:
z = (x - mu) / sigma
where z is the z-score, x is the actual value we want to find, mu is the mean, and sigma is the standard deviation.
Plugging in the given values, we get:
-2.5 = (x - 266) / 16
Solving for x, we get:
x = (-2.5 * 16) + 266 = 230
To learn more about z-score click on,
https://brainly.com/question/19547491
#SPJ4
2. The product of two rational numbers is 4/25
. If one number is −6/5
, find the other number.
Answer:
Step-by-step explanation:
If the product of two rational numbers is 4/25, we can write the equation:
(x) * (-6/5) = 4/25
where x is the other number.
Expanding the equation:
x * -6/5 = 4/25
Multiplying both sides by 5 to get rid of the fraction on the right-hand side:
5 * x * -6/5 = 5 * 4/25
x * -6 = 4
Dividing both sides by -6:
x = -4/-6
x = 4/6
So, the other number is 4/6.
Answer:
So the other number is -[tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Let x be the number.
We know,
(-[tex]\frac{6}{5}[/tex]) × x = [tex]\frac{4}{25}[/tex]
-[tex]\frac{6}{5}[/tex] × x = [tex]\frac{4}{25}[/tex] (By expanding the left side of the equation)
Dividing both sides by -[tex]\frac{6}{5}[/tex]
x = - [tex]\frac{4}{25}[/tex] × -[tex]\frac{6}{5}[/tex]
After simplifying the equation ,
x = -[tex]\frac{4}{3}[/tex]
So the number is -[tex]\frac{4}{3}[/tex].
Nathan was bored. He went outside to find something to do. His mother was planting flowers. Nathan offered to help her. They planted flowers from 2:40 p.m. until 5:10 p.m. They talked and had a good time together. How long did Nathan and his mother work together?
Answer: 2 hours and 30 minutes
Step-by-step explanation:
Last one I promise!
In science class, Brandi estimates the mass of a sample to be 107 grams. The actual mass of the sample is 104 grams. Find the percent error of Brandi’s estimate. Round your answer to the nearest tenth.
The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.
What is percentage error?In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.
Mathematically, percentage error can be calculated by using this expression;
Percent error = {experimental value - actual value}/{actual value} × 100
By substituting the given parameters into the percentage error formula, we have;
Percent error = {107 - 104}/{104} × 100
Percent error = 3/104 × 100
Percent error = 0.029 × 100
Percent error = 2.9%.
Learn more about percentage error here: https://brainly.com/question/26668346
#SPJ1
factoriser les expressions :
16x+4
Answer:
4(4x+1)
Step-by-step explanation:
16x+4
Factor out 4,
4(4x+1)
s your chance to practice what you've learned. You will type your ar
ou and your friend are on a
occer team.
he coach randomly chooses
of the 11 players to play 3
ifferent midfield positions
eft wing, right wing, and
enter midfield).
The probability that someone is chosen to play in the left-wing position is 9%.
How to calculate the probability of an event?The general formula to calculate the probability or the likelihood of an event happening is the specific or desired outcome/ total possible outcomes.
Based on the above, let's calculate the probability in this case:
Specific outcome: To be chosen to play in the left-wing position = 1 position available
Total of players: 11 players
Now, let's calculate the probability
1/ 11 = 0.09 which is equivalent to 9%
Note: This question is incomplete; here is the missing information:
What is the probability to be chosen to play in the left-wing position?
Learn more about probability in https://brainly.com/question/30034780
#SPJ1
(Right answers only. please help thanks)
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches.
What is the area of the shape for the quilt block?
73 3/5 in
41 4/5 in
83 3/5 in
147 1/5 in
Answer: 83 3/5
Step-by-step explanation:
hope this helps !! :3
Determine whether the functions are inverses. F(x)=3x+6
g(x) x+5/3
The given functions f(x) = 3x + 6 and g(x) = (x+5)/3 are not inverses of each other, as their compositions of functions are not equal.
When we want to check if two functions are inverses of each other, we need to verify if composing the functions in both orders results in the input variable. In other words, we need to check if (f ∘ g)(x) = x and (g ∘ f)(x) = x, where f and g are the two functions.
For this problem, we have two functions:
f(x) = 3x + 6
g(x) = (x + 5)/3
Let's start by computing (f ∘ g)(x):
(f ∘ g)(x) = f(g(x)) = f((x + 5)/3) = 3((x + 5)/3) + 6
We can simplify this by canceling the 3's:
(f ∘ g)(x) = x + 5 + 6 = x + 11
Now let's compute (g ∘ f)(x):
(g ∘ f)(x) = g(f(x)) = g(3x + 6) = ((3x + 6) + 5)/3
Again, we can simplify this by canceling the 3's:
(g ∘ f)(x) = (3x + 11)/3
We can see that neither (f ∘ g)(x) nor (g ∘ f)(x) is equal to x, so we can conclude that the functions f(x) = 3x + 6 and g(x) = (x + 5)/3 are not inverses of each other.
To learn more about functions click on,
https://brainly.com/question/27402490
#SPJ4
The distance between Dallas and Houston is about 364 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two towns?
Answer: Approximately 226 miles
Step-by-step explanation:
Km. to Mi.
364 = 226
If a²=b+c,b² = c+a and c² = a +b, prove that: (1/a+1)+(1/b+1)+(1/c+1)=1
The proof is as shown below
How to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
If a² = b + c , b² = c + a and c² = a + b
We want to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1
Since a² = b + c
a²+a = a + b + c
a (a+1) = a + b + c
a+1 = (a + b + c)/a
Repeat the same process for b² = c + a and c² = a +b, we have:
1 + b= (a + b + c)/b
1 + c =(a + b + c)/c
Substitute the values 1+a, 1+b and 1+c into 1/(a+1) + 1/(b+1) + 1/(c+1):
1/(a+1) + 1/(b+1) + 1/(c+1) = a/(a+b+c) + b/(a+b+c) + c/(a+b+c) (Taking LCM)
= (a+b+c )/ (a+b+c ) = 1
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
In a survey of 20 sophomores at a high school, 8 students said that they would prefer a class field trip to an amusement park, rather than a museum. The sophomore class has 150 students. Predict the number of sophomores who prefer a class trip to an amusement park.
Answer:
60 sopomores
Step-by-step explanation:
Let X denote the event prefer amusement park on a field trip
The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results
P(X) = 2/5
Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip
E(X) - P(X) x N where N is the total number of sophomores
E(X) = 2/5 x 150 = 60
five times a number is at most 15 what are the possible values for the number
Answer:
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
Step-by-step explanation:
5x <= 15
Next, we'll solve for x by dividing both sides by 5:
x <= 3
So, the possible values for the number are any value less than or equal to 3, including negative numbers.
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
explain what is meant by statistical inference. give an example of statisticalinference from everyday life, say, a political poll
It's important to use sound statistical methods and careful analysis to ensure that the inferences drawn are as accurate as possible.
Statistical inference is the process of drawing conclusions or making predictions about a population based on data from a sample of that population. In other words, statistical inference involves using the principles of probability and statistics to make generalizations about a larger group based on information collected from a smaller group.
For example, a political survey may be conducted to gather opinions from a sample of voters about a particular issue or candidate. The data collected from this sample can be used to make inferences about the opinions of the larger population of voters. Statistical inference allows us to estimate the opinions of the larger population based on the information gathered from the smaller sample.
To illustrate this, suppose a survey is conducted on a random sample of 1000 voters in a city, and 600 of them indicate that they support a particular candidate. Based on this sample, the surveyors can use statistical inference to estimate the proportion of voters in the entire city who support that candidate. A confidence interval could be constructed to provide a range of values within which the true proportion of voters who support the candidate is likely to lie. This estimate can be used to inform political strategy and decision-making.
However, it's important to note that statistical inference is subject to certain assumptions and limitations, and there is always a degree of uncertainty associated with making predictions or generalizations based on a sample. Therefore, it's important to use sound statistical methods and careful analysis to ensure that the inferences drawn are as accurate as possible.
Learn more about Statistical inference here https://brainly.com/question/13752289
#SPJ4
If the sum of 3 consecutive numbers is 114 find the numbers? WILL MARK BRAINLIEST!:)
If the sum of 3 consecutive even numbers is 114, we can represent the numbers as x, x+2, and x+4.
The sum of the three numbers is:
x + (x+2) + (x+4) = 3x + 6
We know that the sum is 114, so we can set up the equation:
3x + 6 = 114
Subtracting 6 from both sides gives:
3x = 108
Dividing both sides by 3 gives:
x = 36
Therefore, the three consecutive even numbers are 36, 38, and 40.
Answer:
37, 38, 39
Step-by-step explanation:
let the 3 consecutive numbers be
n , n + 1 , n + 2
then summing and equating to 114
n + n + 1 + n + 2 = 114
3n + 3 = 114 ( subtract 3 from both sides )
3n = 111 ( divide both sides by 3 )
n = 37
n + 1 = 37 + 1 = 38
n + 2 = 37 + 2 = 39
the 3 consecutive numbers are 37 , 38 , 39
Unit 4 Probability and Stats Test
What is the P(A and B) given that P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
The value of the probability is 0.09
How to evaluate the probabilityfrom the question, we have the following parameters that can be used in our computation:
P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
Using the above as a guide, we have the following:
P(A and B) = P(A) + P(B) - P(A or B)
substitute the known values in the above equation, so, we have the following representation
P(A and B) = 0.14 + 0.42 - 0.47
Evaluate the expression
P(A and B) = 0.09
Hence, teh probability is 0.09
Read more about probability at
https://brainly.com/question/251701
#SPJ1
A cross-country sprint skier keeps track of how his practice times compare to a
qualifying time for a race. A negative number means he skied faster than the qualifying
time. His results are shown in the table.
Practice Run
1
2
3
st
4
5
6
Difference between Practice Time
and Qualifying Time (seconds)
1.25
-5.38
-0.92
2.19
-6.74
-2.46
1 of 5
What is the mean difference between the skier's practice times and the qualifying
time?
Use the number pad to enter your answer in the box.
second(s)
Finish Later
Submit
The mean difference between the skier's practice times and the qualifying time is given as follows:
-2.01 seconds.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
The observations for this problem are given as follows:
1.25, -5.38, -0.92, 2.19, -6.74, -2.46.
The sum of these six observations is of:
1.25 - 5.38 - 0.92 + 2.19 - 6.74 - 2.46 = -12.06.
Hence the mean is of:
Mean = -12.06/6
Mean = -2.01 seconds.
More can be learned about the mean of a data-set at brainly.com/question/1156334
#SPJ1
