Answers
Answer:
{xcR} (x is all real numbers) and {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
Step-by-step explanation:
1st: Find x by squaring both sides, subtracting 1 from both sides, and dividing by 2 from both sides to get x= [tex]\sqrt{\frac{y-1}{2} }[/tex]
2nd: Plug in x for y=[tex]2x^{2}[/tex]+1 which equals y=2([tex]\sqrt{\frac{y-1}{2} }[/tex])+1
3rd: This gives you the range (y) which is {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
4th: domain is all real numbers
I hope this helped because this took me 30 minutes to do. I had to pull out my algebra math book to check I did it right. I hope I was right!
Related Questions
Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?
Answers
Answer:
"If the line has a slope that is not 0, then the the line is not horizontal".
Step-by-step explanation:
The contrapositive of "If p then q" is "If not q then not p".
p=a line is horizontal
not p= a line that is not horizontal
q=the line has a slope equal to zero
not q=the line has a slope that is not zero
The equivalent statement in contrapositive form is therefore:
"If the line has a slope that is not 0, then the the line is not horizontal".
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probability a given player averaged less than 190?m
Answers
Answer:
0.281 = 28.1% probability a given player averaged less than 190.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that [tex]\mu = 197, \sigma = 12[/tex]
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 197}{12}[/tex]
[tex]Z = -0.58[/tex]
[tex]Z = -0.58[/tex] has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.
the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D?
Answers
The answer is attached. I hope this helps answer your question!
Evaluate if k=4, m=-2, n=7, and p=-5.
5∣p∣+n
Answers
Answer:
32
Step-by-step explanation:
we substitute the values first
5 * (the absolute value of )-5) + 7
absolute value means neither the positive or negative value, so no signs before that number (the one your taking the absolute value of)
5*5+7
5*5 = 25
25+7 = 32
done!
football team consists of 20 each freshman and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that.
a. All 4 are seniors.
b. There is 1 each: freshman, sophomore, junior, and senior.
c. There are 2 sophomores and 2 freshmen.
d. At least 1 of the students is a senior.
Answers
Answer:c
Step-by-step explanation:
c
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of ten adult friends, what is the probability of the following? (Round your answers to three decimal places.)
a. no one has done a one time fling
b. at least one person has done a one time fling
c. no more than two people have done a one time fling
Answers
Answer:
a. 0.349
b. 0.651
c. 0.93
Step-by-step explanation:
According to the Question,
Given, About 10% of all adults deliberately do a one-time fling and In a group of ten adult friends.Thus, p=0.10 , n=10 & [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right] = \frac{n!}{x!(n-x)!}[/tex]
Now, Use Binomial distribution = [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right]*(p)^{x} *{(1-p)}^{n-x}[/tex]
a. p(x=0) ⇒ [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] = 0.349
Thus, The Probability that No one has done a one-time fling = 0.349
b. p(x≥1) = 1 - p(x=0) ⇒ 1 - 0.349 = 0.651
Thus, The Probability that at least one person has done a one-time fling = 0.651
c. p(x≤2) = p(x=0) + p(x=1) + p(x=2)
p(x≤2) = [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] + [tex]\left[\begin{array}{ccc}10\\1\\\end{array}\right]*(0.1)^{1} *{(0.9)}^{9}[/tex] + [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right]*(0.1)^{2} *{(0.9)}^{8}[/tex]
on Solving, we get
p(x≤2) = 0.349 + 0.347 + 0.194
p(x≤2) = 0.93
Thus, The Probability that No More Than two person have done a one-time fling = 0.93
A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFraction 5 Over 3 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2). Which equations also represent this line?
Answers
Answer:
The equation of line 5 x + 3 y = 10.
Step-by-step explanation:
Two points (- 4, 10 ) and (- 1, 5)
The equation of line passing through the two points is given by
[tex](y -y_{1})=\frac {y_{2}-y_{1}}{x_{2}-x_{1}}\times (x- x_{1})\\\\(y - 10)=\frac {5 - 10 }{- 1+ 4}\times (x +4)\\\\y -10 = \frac{-5}{3}\times (x +4)\\\\3 y - 30 =- 5 x - 20\\\\5 x + 3 y = 10[/tex]
Answer:
y = -5/3x + 10/3
3y = -5x + 10
5x + 3y = 10
Step-by-step explanation:
Got it right on Edge
Need help.
Even
Odd
Neither
Answers
Answer:
odd
Step-by-step explanation:
odd
Odd
Solve x∕2 – 5 = 20 for x.
Answers
X/2 - 5 = 20
Add 5 to both sides
X/2 = 25
Multiply both sides by 2
X = 50
The answer is x = 50
Answer:
x/2-5=20
1/2x-5=20
Multiple both sides by 2
x-10=40
x=40+10
Add the numbers
x=50
-------------------
Hope it helps
Have a great day!!
In circle K, How would i solve this?
Answers
Hope this help!!!
Have a nice day!!!
true or false? i the following table a function?
Answers
Answer:
yh its true
Step-by-step explanation:
9514 1404 393
Answer:
True
Step-by-step explanation:
No x-value is repeated, so the table represents a functional relation.
[tex]\boxed{\textsf{True}}[/tex]
Below are the U.S. box office gross sales for the first 6 weekends of the release of the movie Dolittle. (Source: https://www.boxofficemojo.com)
Weekend 1 2 3 4 5 6
U.S. Box Office Gross (in millions of $) 32.18 15.33 9.78 8.15 7.19 2.36
a. Determine the exponential regression equation that models the U.S. Box Office Gross (in millions), G, in terms of the number of weekends since it has been released, t. Write it in Q form here (round numbers to four decimal places):
G=
(
)t
b. Determine the decay rate. Report your answer as a percentage, rounded to two decimals.
%
c. According to your model, what is the predicted U.S. box office gross sales in week 8? Report your answer in millions, rounded to two decimals.
$
million
Answers
Solve 4(m-3)=24
Gggg
Answers
solution//
= 4(m-3) = 24
= 4m-12 = 24
= 4-12+12 = 24+12
= 4m = 36
= 4m = 36
4 4
= m = 9
Step-by-step explanation:
Thank you
[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]
To verify:-
[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answers
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
the average age of a class of 20 students is 15 years and the average age of another class of 30 students is 20 years .find the average age of students into classes
Answers
Let’s say the first class is X.
Avg(X)= x/20=15
X=300
Let’s say the second class is Y.
Avg(Y)= Y/30=20
Y=600
X+Y=900
AVG(X+Y)=900/(20+30)=900/50=18
The average of both classes is 18.
5. There are 32 more pupils in the Robotics Club than in the Art club. The number of pupils
in the Robotics Club is 18 less than 3 times the number of pupils in the Art club. How
many pupils are there in the Robotics club?
Answers
What is the range of this function?
Answers
Answer:
[0, ∞)
0≤y<∞
Step-by-step explanation:
The range is the possible values that y can take
y goes from 0 to positive infinity
[0, ∞)
0≤y<∞
Answer:
[tex]y\geq 0\\[/tex]
y ∈ [0, ∞)
Step-by-step explanation:
The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answers
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]
From the directrix to the pole, the distance p = 1
So;
[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]
[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]
Over which interval(s) is the function decreasing?
Answers
Answer:
x ≤ -½
Step-by-step explanation:
symetry axis => x = (-4+3)/2
x = -1/2
so, the function decreasing over interval x≤ -½
The function is decreasing over the interval (3, ∞).
To determine if the function is decreasing or increasing between these critical points, we can test a point within each interval. Let's pick a test point in each interval and evaluate the function at these points.
Interval I: (-∞, -4)
Let's choose x = -5 as a test point in this interval.
Calculate f(-5) to determine the function's behavior at this point.
Interval II: (-4, 3)
Let's choose x = 0 as a test point in this interval.
Calculate f(0) to determine the function's behavior at this point.
Interval III: (3, ∞)
Let's choose x = 4 as a test point in this interval.
Calculate f(4) to determine the function's behavior at this point.
If the function values decrease as we move from left to right in an interval, then the function is decreasing over that interval.
To know more about function here
https://brainly.com/question/28193995
#SPJ2
BEDMASS or PADMASS solve this pls
Answers
Answer:
Step-by-step explanation:
376389546535150-540111-107525the number of apples in a basket varies directly as the number of oranges. if a basket had 35 apples with 7 oranges, how many apples are there in a basket with 30 oranges?
Answers
Answer:
150
Step-by-step explanation:
35÷7=5 therefore each 5 apples is equal to 1 orange
Answer:
150
Step-by-step explanation:
we're gonna compare ratios. if the initial ratio is 35/7, then we will need to make a similar one for this question. with apples on top, we'll write 'x/30' and cross multiply and solve to get 150
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answers
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.
x = (2x + 6) = 108
x = (2x - 6) = 108
2x = (x - 6) = 108
x = (x - 6) = 108
Answers
Answer:
4
Step-by-step explanation:
i think thats not my answer
Solve the following percent puzzle, entering each square of the completed puzzle in the corresponding box below.
[asy] void shademe(pair A) { fill(A--(A+(1,0))--(A+(1,1))--(A+(0,1))--cycle,gray(0.8)); } size(90); shademe((0,1)); shademe((1,0)); for(int i=0;i<=2;i+=1){ draw((i,0)--(i,2)); draw((0,i)--(2,i)); } label("$60\%$",(0,1.5),W); label("$25\%$", (0,0.5), W); label("$33\frac{1}{3}\%$", (0.5,2),N); label("$50\%$", (1.5,2),N); [/asy]
Answers
Answer:
3 2
6 2
Step-by-step explanation:
a/(a + b) = 0.6
b/(a + b) = 0.25
c/(c + d) = 0.3333 = 1/3
d/(a + d) = 0.5
Answer:
3 2
6 2
Step-by-step explanation:
What's the Error? Explain the error. Find the correct solution.
42-(-6)=-7
Answers
Answer: 42 -(-6)= 48
Step-by-step explanation:
a negative - a negative will always equal a positive
:)
2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answers
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus, B for bacon, P for pepperoni, I for Italian, and V for vinaigrette. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also, you will add one of following meats: bacon, pepperoni. Lastly, you will decide on one of the following dressings: Italian, vinaigrette.
Answers
Answer:
MBI, MBV, ABV, ABI, MPI, MPV, APV, API
A committee must be formed with 2 teachers and 6 students. If there are 7 teachers to
choose from, and 15 students, how many different ways could the committee be
made?
Answers
Answer:
combination
Step-by-step explanation:
solution :
6C2 + 15C7
=6,450
mZQRS = [?]
HELP PLEASE !!
Answers
Answer:
m∠QRS = 49°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So m∠ABC + m∠QRS = 90°. When you simplify you get 41° + m∠QRS = 90°. So m∠QRS = 49°.
A local hamburger shop sold a combined total of 617 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?
Answers
Answer:
check the picture
Step-by-step explanation:
I hope you get it