Answer:
[tex]-3x^{2} + 2x - 9[/tex]
I hope this helps!
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. How many people at the amusement park were not adults?
Answer:
44% was not adults.
Step-by-step explanation:
28%+16%=44%
E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answer:
19.4
Step-by-step explanation:
that is the answer
HELP PLS Describe two real-life situations that could be represented by the graph below
the amount you walk by the hour?
x axis- distance
y axis- hours
:))
when you get in your car and you start driving, you start at a speed of 0 and then your speed can be anything from 0 to the maximum speed of your car. If you graphed your speed during a trip, you would end up with one continuous curve for your graph. You won't have any breaks in the graph.
1. If 15% of adults in a certain country work from home, what is the probability that fewer than 42 out of a random sample of 350 adults will work from home? (Round your answer to 3 decimal places)
2. Suppose we want to estimate the proportion of teenagers (aged 13-18) who are lactose intolerant. If we want to estimate this proportion to within 4% at the 95% confidence level, how many randomly selected teenagers must we survey?
Answer:
(1) 0.058
(2) 601
Step-by-step explanation:
(1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p\\[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
As the sample size is large, i.e. n = 350 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of adults in a certain country work from home.
Compute the probability that fewer than 42 out of a random sample of 350 adults will work from home:
Sample proportion: [tex]\hat p=\frac{42}{350}=0.12[/tex]
[tex]P(\hat p < 0.12)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.12-0.15}{\sqrt{\frac{0.15(1-0.15)}{350}}})\\\\=P(Z<-1.57)\\\\=0.05821\\\\\approx 0.058[/tex]
Thus, the probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.058.
(2)
The (1 - α)% confidence interval for population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
Given:
MOE = 0.04
Confidence level = 95%
Assume that the sample proportion is 50%.
The critical z-value for 95% confidence level is 1.96.
Compute the required sample size as follows:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.50(1-0.50)}}{0.04}]^{2}\\\\=600.25\\\\\approx 601[/tex]
Thus, the required sample size is 601.
1. Using the normal approximation to the binomial, it is found that there is a 0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.
2. Solving the equation for the margin of error of a confidence interval of proportions, it is found that we must survey 601 randomly selected teenagers.
Question 1:
Normal Probability Distribution
In a normal distribution 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]
It 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, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
15% work from home, thus [tex]p = 0.15[/tex].Sample of 350 adults, thus [tex]n = 350[/tex]Then, for the approximation:
[tex]\mu = np = 350(0.15) = 52.5[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{350(0.15)(0.85)} = 6.68[/tex]
Using continuity correction, the probability is [tex]P(X < 42 - 0.5) = P(X < 41.5)[/tex], which is the p-value of Z when X = 41.5. So:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41.5 - 52.5}{6.68}[/tex]
[tex]Z = -1.65[/tex]
[tex]Z = -1.65[/tex] has a p-value of 0.05.
0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.
Question 2:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
Within 4%, thus [tex]M = 0.04[/tex].We do not have an estimate for the true proportion, thus [tex]\pi = 0.5[/tex].95% confidence level, thus z has a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], thus z = 1.96.We have to solve for n, then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(0.5)}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up:
We must survey 601 randomly selected teenagers.
A similar problem is given at https://brainly.com/question/24261244
Simonne, Marco, and Evon were partners in
business. Simonne and Marco each received
twice as much of the profit as Evon received. If
the total profit was $1,800, how much did Evon
receive?
Please help ASAP !!!!!
Answer:
i need points im really sorry
Step-by-step explanation:
PLEASE HELPPPP ILL DO ANYTHING
Answer:
slope: 2/5
y intercept: 4
Step-by-step explanation:
A checking account is overdrawn if it has a
negative balance. Marc's account is overdrawn by
$45. What will the balance be after he deposits
$170 and writes a check for $59?
Answer:
64.
Step-by-step explanation:
170 - 59 = 109
109 - 45 = 64
or do
59 + 45 = 104
104 - 170 = 64
Answer: it’s 66
Step-by-step explanation:
X 0 1 2 3 4 5 P(X) 0.10 0.20 0.45 0.15 0.05 0.05 Using the above information, the standard deviation of the number of accidents is A. 1.18 B. 1.4 C. 1.81 D. 1.96
Answer:
1.18
Step-by-step explanation:
Given the data:
X 0 1 2 3 4 5
P(X) 0.10 0.20 0.45 0.15 0.05 0.05
E(x) = (0*0.1) + (1*0.2) + (2*0.45) + (3*0.15) + (4*0.05) + (5*0.05) = 2
Var(x) = [((0^2)*0.1)+((1^2)*0.2)+((2^2)*0.45)+((3^2)*0.15)+((4^2)*0.05)+((5^2)*0.05)] - 2²
5.4 - 4
= 1.4
Standard deviation = √var(x)
Standard deviation = √1.4
Standard deviation = 1.183
Standard deviation = 1.18
Answer:
hope this helps.enjoy
hey, I wanted to know if anybody was kind enough to help me solve this! I'm super confused and I just don't know what to do. please help me, it'll mean a lot to me. actually
Answer:
The answer should be B
What is 34 and -7 as a fraction
34 as a fraction is 17/50
-7 as a fraction is 8/20
Answer:
34/1
-7/1
Step-by-step explanation:
suppose we have function defined by :
f(x)= -3x+7
what values of x give f(x) =-17?
Answer:
x = 8
Step-by-step explanation:
if f(x) = -17
then we can type:
- 3 x + 7 = -17
solving for "x", subtract 7 from both sides
- 3 x = - 17 - 7
- 3 x = - 24
divide both sides by -3 to isolate "x"
x = -24 / (-3)
x = 8
Miguel rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 83 cents for each mile driven. Miguel had to pay $231.77 when he returned the truck. For how many miles did he drive the truck?
Answer:
254 miles
Step-by-step explanation:
Meg laid 15 tiles in 50 minutes.
Jessica worked for 85 minutes at a faster rate per tile than Meg.
Choose all the rates that could be Jessica’s rate.
A: 20 tiles in 85 minutes
B: 24 tiles in 85 minutes
C: 28 tiles in 85 minutes
D: 1 tile in 3 minutes
E: 1 tile in 4 minutes
Answer:
I think C and E
Step-by-step explanation:
meg played at lace of 3.3333 tiles a minute so has to be over 25 tiles
The correct options are C and D.
Important information:
Meg laid 15 tiles in 50 minutes.Jessica worked for 85 minutes at a faster rate per tile than Meg.Rates:The rate per tile of Meg is:
[tex]\text{Rate}=\dfrac{\text{Time}}{\text{No. of tiles}}[/tex]
[tex]\text{Rate}=\dfrac{50}{15}[/tex]
[tex]\text{Rate}=3.333...[/tex]
Calculate the rates per tile for each option.
[tex]\frac{85}{20}=4.25[/tex]
[tex]\frac{85}{24}=3.54167...[/tex]
[tex]\frac{85}{28}=3.0357...[/tex]
[tex]\frac{3}{1}=3[/tex]
[tex]\frac{4}{1}=4[/tex]
From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.
Therefore, the correct options are C and D.
Find out more about 'Rates' here:
https://brainly.com/question/17879320
please helppp! and thank you
Answer:53
Step-by-step explanation:
The parallelogram shown bellow has an area of 15 units over 2
Answer:
The value of h is [tex]\frac{5}{2}[/tex] units
Step-by-step explanation:
In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2The area of parallelogram = b1 × h1 OR b2 × h2In the given figure
∵ Every two opposite sides of the parallelogram are equal
∴ The length of the base of the height h is 3 units
∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units
∵ Area of parallelogram = b × h
→ Substitute the values of the area and the base in the rule above
∴ [tex]\frac{15}{2}[/tex] = 3 × h
∴ [tex]\frac{15}{2}[/tex] = 3h
→ Divide both sides by 3 to find h
∵ [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3
∴ [tex]\frac{15}{6}[/tex] = h
→ Simplify the fraction by divide up and down by 3 and switch the 2 sides
∴ h = [tex]\frac{5}{2}[/tex] units
rationalise the denominator 1/√20
Answer:
1/10
Step-by-step explanation:
uf no me dij hi g go be h in go i
Step-by-step explanation:
Given:1/√20
The denominator = 20
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 1/√20, we multiply this by √20/√20.
1/√20
→ (1/√20) * (√20/√20)
→ [1(√20)]/[(√20)(√20)]
→ (√20)/√(20×20)
→ √20/20 Ans.
Gavin has a box of crayons. There are four purple crayons, three black crayons, three blue crayons, and two red crayons. What is the probability Gavin will draw a purple crayon put it on the table and then draw another purple
Answer:
4/12
Step-by-step explanation:
7x1027
Scientific Notation
Gary leaves school to go home. He walks 8 blocks north and then 14 blocks east. If Gary could walk in a straight line to the school, what is the exact distance between Gary and the school?
Answer:
16.12 blocks
Step-by-step explanation:
Given that,
Gary walks 8 blocks north and then 14 blocks east.
We need to find the exact distance between Gary and the school. We can find it by using Pythagoras theorem as follows :
[tex]d=\sqrt{8^2+14^2} \\\\=16.12\ \text{blocks}[/tex]
So, the exact distance between Gary and the school is 16.12 blocks.
Robert say's he needs 250 plastics sleeves for his baseball card collection , He has 3084 baseball cards . Each sleeves holds 12 cards do you agree With Robert?
Answer:
no, he needs 257 sleeves
Step-by-step explanation:
3,084 ÷ 12 = 257
PICTURE PLEASEEEEEEEEEEE
Answer: C
Step-by-step explanation: Because none of the triangles are the same.
(2x + 9x² – 21) = (x +4)
Answer:
Step-by-step explanation:
Twenty-seven less than eight times a number is equal to five. What is the number?
Please give me a good explanation on how to do problems like this as well as solving this problem.
Answer:
Alright!
Step-by-step explanation:
Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.
Hope I helped!
Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.
Answer:100 times 7
Step-by-step explanation: because
Ms. Figgs asked 25 students in her 7th-grade homeroom to select their favorite cookie. The results are recorded in the table below. Based on the results, how many students will NOT select chocolate chip as their favorite cookie, if there are 250 students in the seventh grade?
Step-by-step explanation:
Can you show a picture of the table, I can't help if I don't see the whole problem
select the correct answer(click the photo)
Answer:
B.
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define function
f(x) = 8x + 4
Step 2: Prep
Rewrite: y = 8x + 4Swap x and y: x = 8y + 4Step 3: Find Inverse (Solve for y)
Subtract 4 on both sides: x - 4 = 8yDivide both sides by 8: (x - 4)/8 = yRewrite: y = (x - 4)/8Rewrite: f⁻¹(x) = (x - 4)/8Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9
Answer:
2(30-7x)
Step-by-step explanation:
=14+14x-65-9
=14+14x-79
=60+14x
=2(30-7x)
Does the type of employment make a difference in how much someone saves for retirement? A researcher gathers data on how much money government employees and corporate employees put in their retirement accounts each month as a percentage of their income.
Answer:
absolutely
Step-by-step explanation:
because if you make more money at work, the more money you have for retirement.
Answer:
testing a claim about two population means
Step-by-step explanation:
maybe that's the answer you are looking for :) I did this already and it was correct
