Answer:
Step-by-step explanation:
the equation you write to solve this should be:
x = 900 (1 + 0.055)^7
x = 900 (1.055)^7
x = 900 (1.454679131133794609375)
x = 1,309.21
*** Note that the answer was rounded to the nearest hundredths digit. ********
Over which interval(s) is the function decreasing?
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
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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
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 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
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.
Evaluate if k=4, m=-2, n=7, and p=-5.
5∣p∣+n
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!
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
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?
Answer:
check the picture
Step-by-step explanation:
I hope you get it
mZQRS = [?]
HELP PLEASE !!
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°.
What's the Error? Explain the error. Find the correct solution.
42-(-6)=-7
Answer: 42 -(-6)= 48
Step-by-step explanation:
a negative - a negative will always equal a positive
:)
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
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.
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
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
Need help with this please!
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?
The answer is attached. I hope this helps answer your question!
Get brainiest if right!!
3 hours after starting a trip, a driver increased his speed by 10
mph and arrived at his destination 11 hours after starting his
journey. If the distance traveled was 894 miles, find the original
speed of the driver.
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?
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
The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint.
Answer:
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Step-by-step explanation:
First we have to find the sample mean and the sample standard deviation.
We have 15 measurements. Using a calculator, the mean is [tex]\overline{x} = 3.79[/tex] and the standard deviation is of [tex]s = 0.97[/tex].
Now, we have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1448\frac{0.97}{\sqrt{15}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.79 - 0.54 = 3.25 hours
The upper end of the interval is the sample mean added to M. So it is 3.79 + 0.54 = 4.33 hours
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
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 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
Answer:
4
Step-by-step explanation:
i think thats not my answer
true or false? i the following table a function?
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]
Solve x∕2 – 5 = 20 for x.
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?
Hope this help!!!
Have a nice day!!!
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525Write 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.
Answer:
MBI, MBV, ABV, ABI, MPI, MPV, APV, API
the 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?
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
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.
Answer:c
Step-by-step explanation:
c
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
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.
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]
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:
Solve 4(m-3)=24
Gggg
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]
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?
Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?
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 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?
Answer:
combination
Step-by-step explanation:
solution :
6C2 + 15C7
=6,450