Answer:
C
Step-by-step explanation:
just took the unit test
Graph Y represents the inverse of function f.
What is the inverse of a function?In mathematics, the inverse function of a feature f is a function that undoes the operation of f.
How do you find an inverse of a function?To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.
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A right triangle has sides that are 40 feet, 9 feet, and 41 feet. Which one of these is the hypotenuse? Explain your reasoning.
Answer:
41 feet
Step-by-step explanation:
the biggest number will always be the hypotenuse, because it is a right trangle.
Answer:
41 feet
Step-by-step explanation:
Pythagorean theory: 9squared+40squared=41squared
solve for x and find the value of x
We can write an equation for the interior angles, and we will see that x = 13
How to find the value of x?We want to find the value of x, we can see two adjacent angles on a rectangle, then the sum of these two is equal to 180°, we can write:
3x + 78 + x + 50 = 180
4x + 128 = 180
4x = 180 - 128
4x = 52
x = 52/4 = 13
The value of x is 13.
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Discuss the downsizing process in your own words and provide an
example.
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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25. a 2018 pew research center survey found that more americans believe they could give up their televisions than could give up their cell phones (pew research website). assume that the following table represents the joint probabilities of americans who could give up their television or cell phone. could give up television could give up cellphone yes no yes 0.31 0.17 0.48 no 0.38 0.14 0.52 0.69 0.31 a. what is the probability that a person could give up her cell phone? (4 points) b. what is the probability that a person who could give up her cell phone could also give up television? (4 points) c. what is the probability that a person who could not give up her cell phone could give up her television? (4 points) d. is the probability a person could give up television higher if the person could not give up a cell phone or if the person could give up a cell phone? (4 points)
(a)Probability that a person could give up cell phone = 0.48
(b)Probability that a person who could give up her cell phone also could give up television is 0.65
(c) Probability that a person who could not give up a cell phone could give up television is 0.73
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
According to the given question:
a. Probability that a person could give up cell phone = 0.48
b. Probability that a person who could give up her cell phone also could give up television
= P(give up cell phone and TV)/p(give up cell phone)
= 0.31/0.48
= 0.6458
= 0.65
c. Probability that a person who could not give up a cell phone could give up television is
= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)
= 0.38/0.52
= 0.73
d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.
Hence,
(a)Probability that a person could give up cell phone = 0.48
(b)Probability that a person who could give up her cell phone also could give up television is 0.65
(c) Probability that a person who could not give up a cell phone could give up television is 0.73
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what is 3/4 of 16 equal to?????
about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.in regression analysis, which of the following assumptions is not true about the error term e
In regression analysis, one assumption that is not true about the error term e is that it is normally distributed.
The assumptions underlying regression analysis include:
Linearity: The relationship between the dependent variable and the independent variables is assumed to be linear.
Independence: The error terms are assumed to be independent of each other.
Homoscedasticity: The error terms have constant variance across all levels of the independent variables.
Normality: The error terms are assumed to be normally distributed.
No multicollinearity: The independent variables are not perfectly correlated with each other.
While the first four assumptions are typically considered in regression analysis, the assumption of normality for the error term e is not always true. In some cases, the error term may not follow a normal distribution. Violations of this assumption can affect the accuracy and reliability of the regression model's estimates and statistical inference. However, even if the error term is not normally distributed, regression analysis can still provide useful insights and predictions, depending on the specific circumstances and alternative methods that may be employed to address the violation.
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Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta
The simpler form of the expression \(\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}\) is \(\\\rm sec\theta\).
It is given that the expression \(\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}\)
It is required to find the simpler form from the given options.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have the expression:
\(\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\)
We know:
\(\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}\)
By using these trigonometry formulas, we get:
\(\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta\)
Thus, the simpler form of the expression \(\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}\) is \(\\\rm sec\theta\).
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Answer:
option A: sec Ø
Step-by-step explanation:
a person at one end of a 230-foot bridge spots the river's edge directly below the opposite end of the bridge and finds the ange of depression to be 57 degrees. how far below the bridge is the river?
The distance between the bridge and the river is 354. 17 feet
How to determine the value
From the information given, we have that;
Angle of depression, θ = 57 degreesAdjacent side is 230 footDance between the bridge and the river is the opposite side, xUsing the tangent identity, we have;
tan θ = opposite/ adjacent
Substitute the values
tan 57 = x/ 230
cross multiply
x = 530 × tan 57
x = 230 × 1. 5399
x = 354. 17 feet
Thus, the distance between the bridge and the river is 354. 17 feet
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You and your three best friends went out for pizza. Together you ordered a large pizza for $23.75, some cheese sticks for $6.88, and a pitcher of soda for $4.85. You split the total cost evenly. What was your share of the bill?
Answer:
$8.87
Step by Step explanation:
You+ 3 friends = 4 people.
= 23.75 + 6.88 + 4.85( All the food)
= 35.48(Total Cost of dinner)
= 35.48/ 4(amount of people)
= $8.87(per person)
K
BD bisects ZABC. Solve for x and find mZABC.
m/ABD = (6x), m/DBC = (2x+12)°
X=
m/ABC=
bisects x = -12AB / (2AB - 6BD)
m∠ABC = 6x
= 6 × (-12AB / (2AB - 6BD))
To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.
According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.
Let's set up the equation using the given information:
m∠ABD = 6x (angle ABD)
m∠DBC = 2x + 12 (angle DBC)
Using the angle bisector theorem, we have:
AB/BD = m∠ABD/m∠DBC
Since BD bisects ∠ABC, we can substitute the given measures into the equation:
AB/BD = (6x) / (2x + 12)
To solve for x, we can cross-multiply:
AB × (2x + 12) = BD × (6x)
Expanding both sides of the equation:
2ABx + 12AB = 6BDx
Rearranging the equation:
(2AB - 6BD)x = -12AB
Now we can isolate x:
x = -12AB / (2AB - 6BD)
The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:
Simplifying this expression further would require additional information about the lengths of AB and BD.
Without this information, we cannot find the exact value of m∠ABC.
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Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A.
27 • p ‒ 15
B.
15(p ‒ 27)
C.
(15 • p) + 27
D.
15(p + 9)
Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A. 27 • p ‒ 15
B. 15(p ‒ 27)
C. (15 • p) + 27
D. 15(p + 9)
By first calculating the angle of LMN, calculate the area of triangle MNL. You must show all your working.
Answer:
16.66cm²
Step-by-step Explanation:
Given:
∆LMN with m<N = 38°
Length of side NL = 7.2cm
Length of side ML = 4.8cm
Required:
Area of ∆MNL
Solution:
Step 1: Find Angle LMN using the sine rule sin(A)/a = sin(B)/b
Where sin(A) = Sin(M) = ?
a = NL = 7.2cm
sin(B) = sin(N) = 38°
b = ML = 4.8cm
Thus,
Sin(M)/7.2 = sin(38)/4.8
Cross multiply
4.8*sin(M) = 7.2*sin(38)
4.8*sin(M) = 7.2*0.6157
4.8*sin(M) = 4.43304
Divide both sides by 4.8
sin(M) = 4.43304/4.8
sin(M) = 0.92355
M = sin-¹(0.92355) ≈ 67.45°
Step 2: Find m<L
angle M + angle N + angle L = 180 (sum of angles in a triangle)
67.45 + 38 + angle L = 180
105.45 + angle L = 180
Subtract 105.45 from both sides
Angle L = 180 - 105.45
Angle L = 74.55°
Step 3: Find the area of ∆MNL using the formula ½*a*b*sin(C)
Where,
a = NL = 7.2 cm
b = ML = 4.8 cm
sin(C) = sin(L) = sin(74.55)
Thus,
Area of ∆MNL = ½*7.2*4.8*0.9639
= ½*33.31
= 16.655
Area of ∆MNL ≈ 16.66cm²
which of the following actions is a person most likely to take if he or she has a hig level of self-disipline
Answer:
respect , structure
Step-by-step explanation:
If a person has a high level of self-discipline, that means they are very responsible and self-controlled.
They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.
♡ Hope this helped! ♡
❀ 0ranges ❀
Cuál es la respuesta
la respuesta es b. 9/100
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [1 2 -3 8 0 1 4 -3 ооо 0 X1 = 8-2X2 + 3x3 Xy = - 3 - 4x3 X3 is free X1 = 14 + 11x3 X2 = -3- 4x2 X3 is free O X1 = 8 - 2x2 + 3x3 X2 is free X3 is free X1 = 14 + 11x X2 = -3 - 4x3 X=0
Previous question
The correct option is:\[x1=14+11x3\\x2=-3-4x3\\x3 \space free\]
The given augmented matrix is:\[\begin{bmatrix} 1&2&-3&8\\0&1&4&-3\\0&0&0&0 \end{bmatrix}\]
We have two non-zero rows so this system is consistent.
Let x3 be the free variable, then from the second row,\[x2=-3-4x3\]
From the first row,\[x1=8-2x2+3x3=8+2(3+4x3)+3x3=14+11x3\]
The general solution is\[x=\begin{bmatrix} 14+11x3\\-3-4x3\\x3 \end{bmatrix}\]
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help i need to know this answer plz
Answer:
D is the answer.
Step-by-step explanation:
What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
Answer: C :>
Step-by-step explanation:
Answer:
the answer is number 3
If a translation is described as (x -5, y), how has the original image changed?
Answer:
It moves the x value 5 units to the left.
Step-by-step explanation:
"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.
Since we are subtracting to the x value, we are going to move left 5 units.
Let's say we had the point (5, 5).
If we use the translation rule;
(5 - 5, 5)
(0, 5)
We moved the x value 5 units to the left.
Best of Luck!
in 1993, 1219 monk parakeets were observed in the united states. for the next 11 years, about 13% more parakeets were observed each year. write an exponential growth model that represents the situation. find value after 11 and 20 years.
After 11 years, we can expect to observe approximately 4146 monk parakeets in the united states.
to write an exponential growth model for this situation, we can use the formula:
n(t) = n0 * (1 + r)ᵗ
where:
- n(t) is the number of monk parakeets after t years- n0 is the initial number of monk parakeets (in 1993)
- r is the annual growth rate, expressed as a decimal (e.g. 0.13 for 13%)- t is the number of years since 1993
so for this problem, we have:
- n0 = 1219
- r = 0.13- t = 11 (to find the value after 11 years) and t = 20 (to find the value after 20 years)
using these values, we can calculate n(t) as follows:
- after 11 years:
n(11) = 1219 * (1 + 0.13)¹¹ = 4146.16 - after 20 years:
n(20) = 1219 * (1 + 0.13)²⁰ = 12979.05
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i need help plzzzz!!!!!! find the area
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
HELP ME PLEASE!!!
Which type of association does the scatter plot show?
Answer:
Both positive and negative linear association, or nonlinear association.
Step-by-step explanation:
When a scatter plot has a negative linear association, the points are arranged in a line that is angled in a downward slope. Hence, the word "negative" which refers to "decline"
When a scatter plot has positive linear association, the points are arranged in a line that is angled in a upward slope. Hence, the word "positive" which refers to "incline"
The graph you have has a steep incline, then a steep decline, which indicates that both positive and negative linear association are present, except another option might be nonlinear association.
I have attached a picture below that shows the different types of association in scatter plots.
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Students in biology class are learning about the monarch butterfly’s life cycle. Each student is given a caterpillar. When a caterpillar turns into a chrysalis, it is placed in a glass enclosed with food and a heat lamp and examined.
A. Determine whether the situation describes a survey, an experiment or an observational study.
B. identify the sample, and suggest a population from which it was selected.
Answer: observational study
Step-by-step explanation:
i think its a observational study because they are learning about somthing and to learn about it you have to study and they are given a specemin to observe to that they can study it as it grows therfore why i think the answer is C. Observational study.
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
\( \large\color{green}{ \tt{2w³ +3w² −w}}\)
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
\( \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}\)
Multiply −2 and −1 to get 2.\( \large\color{green}{ \tt{2ww² − 3(− w)w − w}}\)
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.\( \large\color{green}{ \tt{2w³ − 3(−w)w − w}}\)
Multiply −3 and −1 to get 3.\( \large\color{green}{ \tt{2w³ + 3ww − w}}\)
Multiply w and w to get w².\( \large\color{green}{ \tt{2w³ + 3w² - w}}\)
Hope It's Help
Consider the probability model that allows you to determine probability that there will be X number of successes out of n trials; when the outcomes from each trial (each defined as either a success or a failure), are independent, and subject to the same probability of success from one trial to the next. How will the coefficient of variation for this model change
Answer:
The probability of number of success = C (n,k)p^kq^(n-k)
Step-by-step explanation:
This is the case of Bernoulli's experiment in which there are n independent trials with X number of success
The probability of number of success = C (n,k)p^kq^(n-k)
Where k = 0,1,2,3...n
Which plan to prove
Answer:
ASA cannot be used because we are only given one angle that is congruent.
Step-by-step explanation:
4x+4y=-12
2x+4y=6
I am studying math and I i don’t know how to answer this question
Answer:
X = -y -3
X= -2y + 3 (if correct, please mark brainliest. :))
Step-by-step explanation:
The athletic department asks 1000 students if they have been to a football game in the last year. The results indicate that 733 students said yes (Y), 162 said no (N), and 105 did not respond (NR). Use the information given above to make a relative frequency distribution showing the percentage of students in each of the three categories. (Round your answers to one decimal place.) Response Percentage Y 1 X % N 2 % 3 NR %
The relative frequency distribution of the three categories includes
Yes (Y): 73.3%No (N): 16.2%No Response (NR): 10.5%How do we get the categories relative frequency distribution?We must get percentage of students in Yes (Y), No (N) and No Response (NR) categories to allow us to create the relative frequency distribution for the athletic department.
Data:
The total number of students surveyed is 1000.
The percentage of students who answered Yes will be:
= (Y / Total) * 100
= (733 / 1000) * 100
= 73.3%
The percentage of students who answered No will be:
= (N / Total) * 100
= (162 / 1000) * 100
= 16.2%
The percentage of students who did not respond will be:
= (NR / Total) * 100
= (105 / 1000) * 100
= 10.5%.
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Which inequality best represents that ice cream at -2 celsius is cooler than ice cream at 4 celsius
Anwser choices
A.-2 C 4 C
B.-2 C > 4 C
C.-4 C > 2 C
D.-4 C < -2 C
Answer:
-2 C < 4 C
Step-by-step explanation:
Answer:
-2 C < 4 C
Step-by-step explanation:
Because |-| means that it is less than 0, and 4 is above 0. Whatever is above -2 will greater for ex.
<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>
-2 C < -3 C
this will be greater!! Hope this helps!!ლ(•ω •ლ)
During a bake sale, 1, dozen cookies were sold in 1 hour. What is the unit rate for the dozens of cookies sold per hour?
Answer:
1 dozen per hour
Step-by-step explanation:
can i plz get brainliest!