20 points
What is the domain and range for this function? Use interval notation.
O a. Domain:(, ) Range:[0,-)
ООС
O b. Domain:[0,-) Range:(...)
Domain:(, ) Range:[-2.)
O d. Domain:(, ) Range:(,0)
Answers
Answer:
a
Step-by-step explanation:
because Domain and Range
Related Questions
A bag contains 3 green marbles and 5 white marbles. Paul picks a marble at random from the
bag and does not put it back in the bag. He then picks another marble from the bag.
a. Construct a probability tree of the problem.
Answers
A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.
How to create the tree?The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.
The next step is to branch from the starting point and show the possible results of the first event. This includes taking out the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.
After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.
The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.
The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome
To know more about probability tree visit:
https://brainly.com/question/28916734
#SPJ1
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answers
Answer:
The amplitude of the function is 48
The period of the function is 28
The graph has a vertical shift of 48 units.
Step-by-step explanation:
just took the quiz
Production has indicated that they can produce widgets at a cost of $16.00 each if they lease new equipment at a cost of $40,000. Marketing has estimated the number of units they can sell at a number of prices (shown below). Which price/volume option will allow the firm to avoid losing money on this project?
Answers
The price/volume option that will allow the firm to avoid losing money on this project is C. 2,300 units at $34.00 each.
How is this option determined?To determine the correct option, we use the cost-volume-profit analysis tool.
The cost-volume-profit (CVP) analysis involves determining how the volume of sales drives profitability.
The CVP technique classifies costs into their variable and fixed cost elements for the purpose of this analysis.
Variable cost per unit = $16
Fixed cost = $40,000
Option A Option B Option C Option D Option E
Sales units 3,000 1,900 2,300 2,500 1,700
Unit selling price $29 $36.50 $34 $31.50 $39
Sales revenue $87,000 $69,350 $78,200 $78,750 $66,300
Variable costs 48,000 30,400 36,800 40,000 27,200
Fixed cost 40,000 40,000 40,000 40,000 40,000
Total costs 88,000 70,400 76,800 80,000 67,200
Thus, the price/volume option that meets the firm's goal is Option C because the sales revenue exceeds the total costs.
Learn more about CVP analysis at https://brainly.com/question/27585018
#SPJ1
Question Completion with Price/Volume Options:A. 3,000 units at $29.00 each.
B. 1,900 units at $36.50 each.
C. 2,300 units at $34.00 each.
D. 2,500 units at $31.50 each.
E. 1,700 units at $39.00 each.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
The ratio of Pablo's age to Richard's age is 6 : 7. The ratio of Pablo's age to Tristan's age is 5 : 4. Find the ratio of Pablo's age to Richard's age to Tristan's age.
Answers
Ages of Tristan, Richard, and Pablo are in the order 6:7:4.
Detailed explanation:
Pablo is six years younger than Richard, seven years older than Tristan, and five years younger than Richard.
We can multiply the ratios of Pablo's age to Richard's age and Pablo's age to Tristan's age to determine the ratio of Tristan's age to Richard's age before determining the ratio of Tristan's age to Pablo's age.
These ratios add up to 6/7 * 5/4 = 30/28.
Pablo's age to Richard's age is 6:7, thus we may multiply this ratio by the age of Richard by Tristan's age to determine the age of Pablo, Richard, and Tristan.
Thus, the ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.
To see similar problems based on ratio and propotion cick the link below
brainly.com/question/11362061
#SPJ1
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
Answers
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
For similar question on confidence interval.
https://brainly.com/question/31044440
#SPJ8
Is 0.456 greater than or less than 0.5
Answers
Answer:
0.456 is less than 0.5
Step-by-step explanation:
What is the sum of the exterior angles of a 54-gon?
Answers
Answer: The sum of the exterior angles of a 54-gon should be 360°.
Step-by-step explanation:
A polygon is a closed figure made up of straight lines like triangle (3-gon) , quadrilateral (4-gon) , square(4-gon), pentagon (5-gon) , octagon(8-gon) etc.
The sum of exterior angles of any polygon with n sides ( or n-gon ) is always 360 degrees.
A 54-gon is a polygon with 54 sides.
Therefore , the sum of the exterior angles of a 54-gon should be 360°.
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
Answers
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)
\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)
The functions S(t) = 1.0841t + 17.392 models the amount of money, S, in billions of dollars, the United States government spent on science, space, and technology for the time period 1999-2009, where t is the number of years since 1999.
a. Write the constraints for the variable t using set-builder notation.
b. Determine the value of S(7)
c. Interpret the value of S(7) in context
d. Name the key feature that is found when solving S(t) = 0. Then, label the key feature on the graph of S(t) = 1.084t + 17.392.
e. determine if the value for S(t) = 0 is reasonable for the context. Explain why or why not.
Answers
Hello,
I hope you and your family are doing well!
a. The variable t represents the number of years since 1999, so the constraints for t can be written as t ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
b. To find the value of S(7), we substitute t = 7 into the function: S(7) = 1.084(7) + 17.392 = 22.688.
c. In context, the value of S(7) represents the amount of money, in billions of dollars, that the US government spent on science, space, and technology 7 years after 1999.
d. The key feature that is found when solving S(t) = 0 is the y-intercept of the graph of S(t). The y-intercept is the point where the graph crosses the y-axis.
e. The value for S(t) = 0 is not reasonable for the context because it represents the amount of money spent on science, space, and technology in 1999, which would be a negative number of years after 1999.
-----
Please consider giving this 5 stars if you find it helpful.
Happy Holidays!
In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
Answers
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
To learn more about variables, visit :
https://brainly.com/question/22277991
#SPJ9
please help with this question i just need the volume
Answers
Answer: 4) 49 1/2
5) 15
Step-by-step explanation:
To find volume you must use L x W x H.
4) 3 x 3 x 5.5= V
3 x 3 = 9
9 x 5. 5= 49.5
5) 2 x 2 x 3.75= V
2 x 2= 4
4 x 3. 75 = 15
What is the percent of decrease from 1,000 to 90?
Answers
Answer:
91%
Step-by-step explanation:
Hope I helped:)
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
A. The area of the triangle is 108 mm².
B. The area of parallelogram is 286√2 in²
How to find the area of each parallelogram of triangle?A. Area of a triangle (A) = 1/2 * Base (b) * Height (h)
We have:
b = 18 mm
h = 12 mm
Thus:
A = 1/2 * 18 * 12
A = 108 mm²
B. The area of parallelogram is given by:
A = b * h
where b is the base and h is the height
We have:
b = 26 in
Using trig.:
sin 45 = h/22
h = 22 * sin 45
h = 11√2 in
Thus,
A = 26 * 11√2
A = 286√2 in²
Learn more about parallelogram on:
https://brainly.com/question/970600
#SPJ1
Item 5
A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents
Answers
Answer: $320.50 x .04 = 12.82. Add them final answer =$333.32
Step-by-step explanation:
What is the domain of the function y=3 squared root of x -1 ?
O-o
-1
O 0
1
Answers
\(y=3\sqrt{x-1}\)
The domain is x ≥ 1 as x cannot be less than 1 or else it'll become negative in square root which you cannot find a value.
HELP (THE OPTIONS FOR CHOOSE IS yes no yes no yes no yes no) AND NO PUTTING FAKE ANSWERS OR PUTTING NOT CORRECT ANSWERS LIKE answer:e step by step explanation:e PLEASE NONE OF THAT
Answers
Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.
What is multiplication?Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.
Here,
Beans=12*40
=480
cost of beans=12*5
=$60
Carrot=15*36
=540
cost of carrot=15*7
=$105
Corn=2*50
=100
cost of corn=2*3
=$6
Total seeds=1120
Total cost=$171
Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.
To know more about multiplication,
https://brainly.com/question/14852806
#SPJ1
A triangle has sides with lengths of 14 yards 17 yards and 18 yard is it a right triangle yes or no
Answers
The given sides of the triangle are : 14 yards, 17 yards & 18 yards.
Condition of a right angle triangle :
1) The sum of square of Base and the perpendicular sides of traingle are always equal to the square of Hypotenuse.
Hypotenuse² = Perpendicular² + Base²
where, Hypotenuse, Base and perpendicular are express as :
2) The hypotenuse side of the right angle triangle is always the longest side.
In the given sides of triangle :
18 is the longest one, consider 18 as the Hypotenuse and remaing as the perpendicular and base
i.e.
Hypotenuse = 18, Base = 17 and perpendicular = 14
Substitute the value in the expression of the second condition :
Hypotenuse² = Perpendicular² + Base²
18² = 14² + 17²
324 = 196 + 289
324 = 485
LHS is not equal to RHS
Thus, expression doesnot hold
Hence the given sides of triangle is not a right angle triangle
Answer : The given sides of triangle is not a right angle triangle
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p -value of 0.005. Which of the following is correct?
Answers
1. A chi-square goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state.
2. The calculated chi-square test statistic is χ2 = 45.6.
3. The corresponding p-value is 0.005.
Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis that the proportions of students selecting majors at the local university are the same as those at other universities in the state. This means that there is significant evidence to suggest that the proportions of students selecting majors at the local university are different from those at other universities in the state.
The chi-square test statistic of χ2 = 45.6 indicates a large deviation from the expected proportions, which further supports the rejection of the null hypothesis.
Therefore, the correct conclusion is that there is significant evidence to suggest that the proportions of students selecting majors at the local university are different from those at other universities in the state.
What is the common denominator you would use if you wanted to add the
fractions 1/4 and 1/3?
SOME ONE PLEASE ANSWER FAST!!!!
Answers
Answer:12
Step-by-step explanation:
Answer:
common denominator would be 12
so it would be 3/12 and 4/12
Step-by-step explanation:
have a good day
Which equation would represent 30 kittens divided into groups of 4
Answers
Answer:
30÷4
Step-by-step explanation:
Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?
Answers
Answer:
She needs 16 recipe to make 8 gallons
if p(e and f)=.392, p(e/f)=.56 and p(f/e)=.7, then p(e)=
Answers
On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
Probability(A and B) = P(A)P(B|A).
P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).
Using the general multiplication rule, we have
P(E and F) = P(E)P(F|E)
.392 = P(E)(.7)
P(E) = .56
P(E and F) = P(F)P(E|F)
.392 = P(F)(.56), so
P(F) = .7
P(E or F) = P(E) + P(F) - P(E and F)
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
45 points!!
solve question 9
Answers
Answer:
answer
A) 11.7²+X.6²
B) 7²+10² 0²
Use the Distributive Property to expand the expression.
0.4(35m - 15n)
Answers
=14-6
=8
boom
Find the area of each shape.
Answers
Answer:
Square area formula: A = a²
Rectangle area formula: A = a × b.
Triangle area formulas: A = b × h / 2 or. ...
Circle area formula: A = πr²
Circle sector area formula: A = r² × angle / 2.
Ellipse area formula: A = a × b × π
Trapezoid area formula: A = (a + b) × h / 2.
Parallelogram area formulas:
Step-by-step explanation:
Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width.
There are chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 solid chocolates in a row.
Answers
Answer:
P = \(\frac{91}{703}\) ≅ 12.95%.
Step-by-step explanation:
The total amount of chocolates in the box is 8 + 16 + 14 = 38, 14 of which are solid.
Let's calculate the probability of getting a solid chocolate in the first selection:
\(P(1S) = \frac{14}{38} = \frac{7}{19}.\)
Given that the first piece was solid, there are now 37 pieces of chocolate in the box, 13 of which are solid. Let's now calculate the probability of selecting another solid chocolate:
\(P(2S\,|\,1S) = \frac{13}{37}.\)
Thus, the probability of selecting two solid chocolates in a row is the product of the two probabilities calculated above:
\(P = \frac{7}{19}\,.\,\frac{13}{37} = \frac{91}{703}.\)
On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.
Answers
The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.
In which quadrant is the point?First, remember that for a point (x, y):
if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:
(-4, -1)
Then we can see that this point is on the quadrant III.
Learn more about quadrants:
https://brainly.com/question/863849
#SPJ1
2. Write an expression that can be used to
find the length of JH and an
expression that can be used to find the
length of GJ.
G
Answers
The expression to find the length of JH is \(JH = 9\cdot \sin 35^{\circ}\).
The expression to find the length of GJ is \(GJ = 9\cdot \cos 35^{\circ}\).
Resolution - Determination of expression for the side lengths of a right triangleSome facts on right trianglesA right triangle has two legs and a hypotenuse, the two legs are adjacent to a right angle and the hypotenuse is the side opposite to that angle. Besides, the hypotenuse is the longest side of the right triangle.
Determination of trigonometric expression for needed lengthsWe can determine the value of each leg by means of trigonometric relations in terms of the hypotenuse and an angle adjacent to it, which are described below:
\(JH = GH\cdot \sin \theta\) (1)
\(GJ = GH\cdot \cos \theta\) (2)
If we know that \(GH = 9\) and \(\theta = 35^{\circ}\), then the expressions are:
Length of JH\(JH = 9\cdot \sin 35^{\circ}\)
Length of GJ\(GJ = 9\cdot \cos 35^{\circ}\)
ConclusionsThe expression to find the length of JH is \(JH = 9\cdot \sin 35^{\circ}\). \(\blacksquare\)
The expression to find the length of GJ is \(GJ = 9\cdot \cos 35^{\circ}\). \(\blacksquare\)
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/7894175
RemarkThe statement is incomplete and full of mistakes. In addition, there is an image missing. The complete and corrected expression is presented:
Write an expression that can be used to find the length of \(JH\) and an expression that can be used to find the length of \(GJ\).
prime factorization of the following numbers in exponential form 48prime factor of 32
Answers
32: 2 x 2 x 2 x 2 x 2, which can also be written 32 = 2⁵.