Answers
The average rate of change of g(x) over the interval [2, 8] is given by
(g (8) - g (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4
• 2 < 4, so g (2) = 5(2) + 1 = 11
Then the average rate of change is
(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
Related Questions
A varsity boy's basketball team has a ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?
Answers
Answer:
The varsity boys team
Step-by-step explanation:
a cube with the number 1,2, 3, 4, 5 and 6; what is the probability of getting an even number?
Answers
Step-by-step explanation:
answer is one and half
In great detail, with full work done out, please find x
1 + x = 2
Answers
Answer:
x = 1
Step-by-step explanation:
1 + x = 2
Subtract 1 form both sides,
1 + x - 1 = 2 - 1
x = 1
Ms. Rogers asked 15 piano students how many hours of practice they put in each week. The list shows the data she recorded.
6,6,7,7,7,8,8,8,8,8,9,9,9,10,10
Which statement is true?
A.The data is skewed to the left.
B. The data is skewed to the right.
C. The data is symmetrical.
D. The skew of the data cannot be determined.
Answers
Answer:
D
Step-by-step explanation:
A student that goes to class can not put 10 hours of practice per day.
Answer:
The data is skewed to the left.
Step-by-step explanation:
A cookie factory uses 3 bags of flour in each batch of cookies. The factory used 5 2/3 bags of flour yesterday. How many batches of cookies did the factory make?
Write answer as a fraction or as a whole or mixed number.
Answers
12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then accepting the entire batch if at least 3 of the selected items pass inspection. If in reality 80% of all items produced would individually pass inspection, what is the probability that the batch will be accepted
Answers
Answer:
The probability is 0.9421
Step-by-step explanation:
Here, we want to calculate the probability that the batch will be accepted
For it to be accepted, 3,4 or 5 of the items would pass inspection
let p be the probability of a single item
passing the inspection
This probability is 80% = 0.8
Let q be the probability of failing inspection = 2-0.8 = 0.2
The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;
5 C 3 0.8^3 0.2^2 = 0.2048
Next we calculate for 4 out of the five
That will be
5 C 4 0.8^4 0.2 = 0.4096
Finally we calculate for all 5
5 C 5 0.8^5 0.2^0 = 0.32768
So the probability that the batch will be accepted will be;
0.32768 + 0.4096 + 0.2048 = 0.94208
Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.
For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
5 items are selected, hence [tex]n = 5[/tex].80% of all items produced would individually pass inspection, hence [tex]p = 0.8[/tex].The probability that the batch will be accepted is:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]
[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]
Then:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]
0.9421 = 94.21% probability that the batch will be accepted.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
I need help please with step by step it would help me a lot
Answers
Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by [tex]y=x^2[/tex]
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]
Corey Steinbruner is the marketing director for a new vitamin supplement and he wants to place ads in two magazines: Sports Illustrated and Men's Health. Corey estimates that each one-page ad in Sports Illustrated will be read by 4 million people and costs $2000 and each one-page ad in Men's Health will be read by 1 million people and costs $1000. Corey does not want to budget more than $14,000 on advertising and wants to place at least 3 ads in Sports Illustrated and at least 4 ads in Men's Health. a) Let LaTeX: xx be the number of ads in Sports Illustrated and LaTeX: yy be the number of ads in Men's Health. Write the objective function (with quantities in millions) to find the maximum number of readers reached by the ads.
Answers
Answer:
Step-by-step explanation:
From the given information:
x = number of ads in sports illustrated
y = number of ads in Man's health
Thus, the total ads read by z = (4x +y) million people
The objective function to maximize Z (millions) is:
Z = 4x + y
To determine x & y; constraint to,
x ≥ 3, y ≥ 4
Budget constraint: 2000x + 1000y ≤ 14000
By approaching the graphically
If we draw the line x = 3 , y = 4
Then;
2000x + 1000y = 14000
2x + y = 14
Corner points are A (3,4), B(5,4), C(3,8)
At A(3,4):
Z = 4(3) + 1 (4) = 16
At B(5,4):
4(5) + 1 (4) = 24
At C(3,8):
4(3) + 1(8) = 20
Thus, Z = 24 million. x = 5, y = 4
Therefore;
they should place 5 ads in sports illustrated.
4 ads in man's health to maximize the number of 24 million readers.
y=-|x+3| domain and range
Answers
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
Determine the measure of x? Please include the way you got the answer as well please
Answers
Answer:
x = 16°
Step-by-step explanation:
The three internal angles of the triangle are:
180° - 91° = 89° (angles in a straight line)
180° - 105° = 75° (angles on a straight line)
x = x (vertical angles are congruent)
x + 89 + 75 = 180 (sum of interior angles of a ∆)
x + 164 = 180
x = 180 - 164 (subtraction property of equality)
x = 16°
the relationship between altitude and the boiling point of a water and liquid is in the new year at an altitude of 8000 feet the liquid boils at 204.4 degrees Fahrenheit
at now altitude of 4300 feet ,the liquid boils at 208.84 degrees Fahrenheit. write an equation given the boiling point B of the liquid in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of a liquid at 2500 ft?
Answers
Answer:
Boiling B would probaly Have
a huge impact on the answer
Step-by-step explanation:
which equation is equivalent to the formula below?
Y = A ( X - H) ^2 + K
Answers
Answer:
B. a = y - k/(x-h)²
Step-by-step explanation:
Given the expression y = a (x-h)² + k
First make a the subject of the formula
Subtract k from both sides
y = a (x-h)² + k
y- k = a (x-h)² + k - k
y - k = a (x-h)²
Divide through by (x-h)²
y - k/(x-h)² = a
a = y - k/(x-h)²
Hence option B is correct
Answer:
a=y-k/(x-h)^2
need help I don’t understand this.
Answers
This year Rachel watched 65 movies she thought that 26 of them were very good of the movies she watched what percentage did she think we’re very good
Answers
Answer:
40%
Step-by-step explanation:
26×100=2600÷65=40
40%×65=26
The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q
Answers
Answer:
Choices 1, 2, 4
Step-by-step explanation:
i took the test
A vendor bought 100 g of garlic for 20 from a wholesaler. He then sold it at a gain of 10%. Findthe S.P. of 10 g of garlic for the vendor.
Answers
Answer:
2.2
Step-by-step explanation:
10% of 20 equals 2
10% of 100g equals 10g
22 = 110% 22/10= 2.2
therefore the S.P. of 10 g of garlic is 2.2
Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?
Please help me fast !!
Answers
Answer:
1 bag of 3 purple beads and 3 bags of 6 indigo beads
Step-by-step explanation:
3 + 18 = 21
What fraction best represents 5x2/3
Answers
Answer:
Maybe 5 2/3
Step-by-step explanation:
I really need help. It would mean a lot ❤️!
Answers
Answer: The domain has to be x and the range y. But for independent and dependent variable I can't help. So srry. The picture doesn't show the work. Have a nice day :)
equation of a line in slo[e-intercept form given the slope = 6 and it passes through the point (1, 8)
Answers
Answer:
math way
Step-by-step explanation:
can someone help please
Answers
Claude owns a store. Every year, he pays
O sales tax
O corporate tax
O marginal tax
O personal property tax
Answers
Answer:
B
Step-by-step explanation:
Claude owns a store. Every year, he pays corporate tax. Option B is correct.
Claude owns a store. Every year, he pays _____.
Black space to be filled from the following option,
A. sales tax B. corporate tax C. marginal tax D. personal property tax
A corporate tax is a tax levied on the net gain of an enterprise that is taxed at the commodity level in a particular mark. Net gain for corporate tax is commonly the financial statement of net gain with transformations and may be defined in detail in the tax system of each country.
Since the store owner mostly pays the corporate tax besides there, sales tax is paid by the company owners, marginal tax is also paid by the production companies, and personal property tax is paid by any person.
Thus, Claude owns a store. Every year, he pays corporate tax. Option B is correct.
Learn more about corporate tax here:
https://brainly.com/question/17075354
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Mike and Breanna like to run after swim practice each day. Usually they run the same distance, x miles. Today, however, they ran different
distances.
• Mike ran at 7 miles per hour and ran 2 more miles than usual.
• Breanna ran at 6 miles per hour and ran 1 more mile than usual.
Complete the table to show each person's distance and rate, which could be used to create rational equation relating their distance, rate, and
time
Distance
Rate
Mike
Breanna
Answers
Answer:
Step-by-step explanation: i got it right :) hopefully you get it in time!
How do you calculate run time and speed?
32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.
What do you do to calculate average speed?
choose one point on the line.choose another point on the line.find the time difference between the points.find the distance differences between the points.divide the differences in the distance by the difference in time.Learn more about average speed here https://brainly.com/question/5147964
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Dawn purchased 6 quarts of motor oil for $14.12. What is the Unit Price per quart rounded to
the nearest cent?
Answers
Answer:
$2.35 per quart (rounded to nearest cent)
Step-by-step explanation:
6 quarts --- $14.12
1 quart --- [tex]\frac{1}{6}[/tex] × $14.12 = $2.35 (rounded to nearest cent)
Two parallel lines are cut by transversal x and a transversal Y so that x and y intersect at point Q as shown. Wong constructs the following argument : A) Reason 1: an alternating exterior angel with one angle in the triangle ...etc
Answers
Answer:
A
Step-by-step explanation:
wirte the fractional coefficient for 1 1/4
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Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.
Answers
Answer:
im looking for the anwser
Step-by-step explanation:
Pablo is binging his favorite TV show right before he has to go into work and two hours before he has to go in for his next
shift. Assuming it takes about 20 minutes for pablo to get ready, and each episode his 25 minutes long, how many
episodes can pablo watch before he has to begin getting ready?
A. Six episodes
B. Five episodes
C. Four episodes
D. Seven episodes
Answers
Answer:
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.
Answers
What is the digit to the right of the decimal point in the decimal form of 4/37
?
Answers
Answer:
2/15
Step-by-step explanation:
