Answers
Answer:
[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]
B) is the right answer.
Answer:
B
Step-by-step explanation:
We want to solve the inequality:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]
First, we can add sec(x/3) to both sides:
[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]
Subtracting 4 from both sides yields:
[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]
And dividing both sides by 2 yields:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]
Therefore, we can graph the following two functions:
[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]
Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.
Related Questions
If it cost 2.5 per square feet, what is the approximate total cost of making this pipe that is open at both ends?
Answers
Answer:
3.10 feet square
Step-by-step explanation:
what is equivalent to the expression 2/5 divided by 4
Answers
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Answers
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
Pls find this asap I am already late for this pls
Answers
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answers
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answers
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
Math question points and brainlest 20 points !!
Answers
Answer:
I think A (OwO)
Step-by-step explanation:
I'm not 100% sure, but its the closest.
Answer:
A) 2/15
Step-by-step explanation:
There is 2 can of green beans but 15 cans altogether. Making 2/15 of a chance to get green beans.
Have a blessed day! I hope this helps!
In 2010, the population of Alabama was about 4.8 million. This is an increase of about 7.5% over the population of Alabama in 2000. If this trend continues, predict the population of Alabama in 2030 and 2040.
Answers
Answer:
alabama is 7.85 million
Step-by-step explanation:
Use Euler’s Formula to find the missing number.
Faces: _____
Edges: 15
Vertices: 9
Answers
Use Euler’s Formula to find the missing number.
Answer:18
#CARRYONLEARNING #STUDYWELLAnswer:
Use Euler’s Formula to find the missing number.
Faces: __8__
Edges: 15
Vertices: 9
Answer is 8
Step-by-step explanation:
a.
Group
The intervals of the horizontal axis.
b. The break in the vertical axis.
c. The break in the horizontal axis.
d. The intervals of the horizontal axis are not labeled correctly.
Answers
Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?
Answers
Answer: she has 15 dimes and 45 pennies.
Step-by-step explanation:
01p+1d=1.95
p=3d
01(3d)+.1d=1.95
p=3.15
03d+.1d=1.95
p=45
.13d=1.95
d=15
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$
Answers
Answer:
525; $68.25
Step-by-step explanation:
21+.09x=.13x
x=525
21+.09(525)=68.25
.13(525)=68.25
The answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
A)
Let's assume the amount of calling is x for which the two plans cost the same.
So , the algebraic expression can be written as ;
Plan A = Plan B
or
21 + (0.09 × x) = 0 + (0.13 × x)
Solving this we will get amount of calling for which the two plans cost the same as :
21 = 0.13x - 0.09x
0.04x = 21
x = 525 minutes
B)
Now , the cost when two plans cost the same amount :
Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25
or
Plan A = Plan B = $68.25
Therefore , the answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
Learn more about algebraic expression here :
https://brainly.com/question/2164351
#SPJ2
What is the answer to 9 - x - 5x = -9
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x
Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.
8x-6y=36
solve the linear equation
Answers
Answer:
The below is the answer to the equation. 4.5, 0
Step-by-step explanation:
Will mark brainliest!! Please do the two in green using cos!!
Answers
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]Number 2:
[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean µ = 43 and standard deviation σ = 15. Find the following probabilities. (Round your answers to four decimal places.)
a. x is less than 60
b. x is greater than 16
c. x is between 16 and 60
d. x is more than 60
Answers
Answer:
a) 0.8708 = 87.08% probability that x is less than 60
b) 0.9641 = 96.41% probability that x is greater than 16.
c) 0.8349 = 83.49% probability that x is between 16 and 60
d) 0.1292 = 12.92% probability that x is more than 60.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 43, \sigma = 15[/tex]
a. x is less than 60
This is the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 43}{15}[/tex]
[tex]Z = 1.13[/tex]
[tex]Z = 1.13[/tex] has a pvalue of 0.8708
0.8708 = 87.08% probability that x is less than 60
b. x is greater than 16
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 43}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that x is greater than 16.
c. x is between 16 and 60
This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:
0.8708 - 0.0359 = 0.8349
0.8349 = 83.49% probability that x is between 16 and 60
d. x is more than 60
This is 1 subtracted by the pvalue of Z when X = 60.
So
1 - 0.8708 = 0.1292
0.1292 = 12.92% probability that x is more than 60.
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answers
Answer:
a) the required percentage is 32.64%
b) the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Step-by-step explanation:
Given that;
mean μ = 14.7 %
standard deviation σ =33%
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
P( portfolio lose money )
= P( x< 0) P( 0-14.7 / 33 )
P( Z < -0.45 ) = 0.3264 ≈ 32.64%
Therefore, the required percentage is 32.64%
b)
the cutoff for the highest 15% of annual returns with this portfolio will be:
P( X ≥ x) = 15%
1 - P(X ≤ x) = 0.15
P(X ≤ x) = 0.85
P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1
form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2
from the equations;
(x-14.7 / 13 ) = 1.04
33 × 1.04 = x-14.7
34.32 = x-14.7
x = 34.32 + 14.7
x = 49.02%
Therefore, the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Which of the following statements is true?
Answers
Answer: The y-intercept is 5
Step-by-step explanation:
Please Help realy I need it
Answers
3 3/5 x (-8 1/3) =
Please help and quick
Answers
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
-8/5x -6 equals -54. what is x
Answers
Answer:
30
Step-by-step explanation:
......................
Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.
Which measurement is the best representation of the distance between point D and point E in units?
Answers
Answer:
Rounding to the nearest number, the answer would be 12 units
Step-by-step explanation:
I hope this helped! Please mark me as brainliest if you can!
need help plzzzzzxsss
Answers
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $28 to spend. How many of each type of lunch can she order?
Answers
Answer:
She would be able to buy
4 Chicken Salads &
2 Egg Salads
Step-by-step explanation:
4x5=20
leaving 8 dollars
2x4=8
Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.
Step-by-step explanation:
fine the slope of the table below
Answers
Thank me by clicking on the ❤️. Thanks!
Which equation could have been used to create this graph?
O y = 2x
O y = 4x
O y=x+4
O y = x + 2
Answers
Answer:
y =2x
Step-by-step explanation:
QUICK WILL GIVE BRAINLIEST.
Answers
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
And this one please
Answers
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answers
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
I will give brainiest to whoever answers correctly !!
