Answer:
[tex]L = 3.975[/tex]
Step-by-step explanation:
Given
See comment for data
Required
The lower limit 94% confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}[/tex]
[tex]\bar x =\frac{74.1}{12}[/tex]
[tex]\bar x =6.175[/tex]
Next, calculate the standard deviation using:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}[/tex]
[tex]\sigma = \sqrt{\frac{197.2625}{12}}[/tex]
[tex]\sigma = \sqrt{16.4385416667}[/tex]
[tex]\sigma = 4.054[/tex]
For 94% interval, the z score is
[tex]z = 1.88[/tex]
So, the margin of error (E) is:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.88 * \frac{4.054}{\sqrt {12}}[/tex]
[tex]E = 1.88 * \frac{4.054}{3.464}[/tex]
[tex]E = 2.200[/tex]
The confidence interval of the true mean is:
[tex]CI = (\bar x \± E)[/tex]
The lower limit (L) is:
[tex]L = \bar x -E[/tex]
[tex]L = 6.175 -2.200[/tex]
[tex]L = 3.975[/tex]
and the upper limit (U) is
[tex]U = \bar x + E[/tex]
[tex]U = 6.175 + 2.200[/tex]
[tex]U = 8.375[/tex]
The lower limit is 3.975 and the upper limit is 8.375. Then the confidence interval for the true mean is (3.975, 8.375).
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes.
To test this claim Company B collects the times (in minutes) below for a sample of 12 users.
Assume normality. Assignment 6q3 data Construct a 94% confidence interval for the true mean time spent on the website.
z-value for 94% of confidence level is 1.88.
z = 1.88
The mean will be
[tex]\mu = \dfrac{\Sigma x}{n}\\\\\mu = \dfrac{0.9+10+0.9+8.7+8.4+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}\\\\\mu = \dfrac{74.1}{12}\\\\\mu = 6.175[/tex]
Then the stabndard devistion will be
[tex]\sigma = \sqrt{ \dfrac{\Sigma (x - \mu )^2}{n}}\\\\\sigma = \sqrt{ \dfrac{\Sigma (0.9-6.175 )^2+(10-6.175 )^2+...+(4.6-6.175 )^2}{12}}\\\\\sigma = \sqrt{ \dfrac{197.2625}{12}}\\\\\sigma = \sqrt{16.438}\\\\\sigma = 4.054[/tex]
The margin of error (E) will be
[tex]E = z*\dfrac{\sigma}{\sqrt{n}}\\\\E = 1.88*\dfrac{4.054}{\sqrt{12}}\\\\E = 2.200[/tex]
Then the confidence interval of the true mean will be
[tex]CI = (\mu \pm E)[/tex]
The lower limit (L) will be
[tex]L = \mu - E \\\\L = 6.175 - 2.200\\\\L = 3.975[/tex]
The upper limit (U) will be
[tex]U = \mu + E \\\\U = 6.175 + 2.200\\\\U = 8.375[/tex]
More about the margin of error link is given below.
https://brainly.com/question/6979326
2.02b + 4.30 = 2.00b + 6.30
Answer: b = 100
Step-by-step explanation:
simplifying
2.02b + 4.30 = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 6.30 + 2.00b
solving
4.30 + 2.02b = 6.30 + 2.00b
solving for variable 'b'.
move all terms containing b to the left, all other terms to the right.
add '-2.00b' to each side of the equation.
4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b
combine like terms: 2.02b + -2.00b = 0.02b
4.30 + 0.02b = 6.30 + 2.00b + -2.00b
combine like terms: 2.00b + -2.00b = 0.00
4.30 + 0.02b = 6.30 + 0.00
4.30 + 0.02b = 6.30
add '-4.30' to each side of the equation.
4.30 + -4.30 + 0.02b = 6.30 + -4.30
combine like terms: 4.30 + -4.30 = 0.00
0.00 + 0.02b = 6.30 + -4.30
0.02b = 6.30 + -4.30
combine like terms: 6.30 + -4.30 = 2
0.02b = 2
divide each side by '0.02'.
getting: b = 100
I need help with this problem for my homework pls help
Answer:
x = 6.93
y = 13.86
Step-by-step explanation:
We can solve x by;
Tan(60) = 12/x
Tan(60) * x = 12
x = 12 / Tan(60)
x = 6.93
We can solve y by;
A² + B² = C²
12² + 6.93² = y²
144 + 48.02 = y²
192.02 = y²
[tex]\sqrt{192.02}[/tex] = y²
13.86 = y
Hope this helps!
You would like to have $8000 in an account after four years time if the account earns 4% compound interest yearly how much would you have to deposit today
Answer:
http://www.1728.org/compint2.htm
Principal = Total ÷ (1 + Rate) ^ years
Principal = $8,000 / (1.04) ^ 4
Principal = $8,000 / 1.16985856
Principal = 6,838.43
Step-by-step explanation:
A car moves at a constant speed of 90km/h from a starting point. Another car moves at 70km/h after 2hours from the same starting point. if both cars moves in the same direction, after how many hours will the distance between the first car and the second car to be 40 km.
Step-by-step explanation:
are you sure you wrote the problem here correctly ?
because the distance will be 40km after less than half an hour just by the first car driving. way before the second car even starts.
to be precise, it would be after 60 minutes × 40 / 90
(= how many minutes of an hour are needed to reach 40km while going 90km/h) :
60 × 40 / 90 = 60 × 4 / 9 = 20 × 4 / 3 = 80/3 = 26.67 minutes.
but maybe the question was about 400km distance between the two cars.
so, the first car goes 90km/h for 2 hours.
at that moment it will be 2×90=180km ahead.
that would mean that 220km are still missing for the 400km assumption.
with each hour driving the first car makes 20km more than the second car.
to build up 220km that way would require
220/20 = 11 hours.
plus the 2 original head start hours this would make 13 hours as overall answer.
PLEASE HELP ASAAPPP PLEASEE
Answer:
m∠1 = 81
m∠2 = 99
Step-by-step explanation:
The angles are supplemaentary and therefor sum to 180
3x + (x + 72) = 180
4x + 72 = 180
4x = 108
x = 27
m∠1 = 3x
m∠1 = 27(3)
m∠1 = 81
m∠2 = x + 72
m∠2 = 27 + 72
m∠2 = 99
please help to find the answer
Answer:
\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}
need answer quick !!! please
Answer:
f(-10) = 186
Step-by-step explanation:
Sub in -10 to the x - values:
f(x) = 2[tex]x^{2}[/tex] + [tex]x[/tex] - 4
f(-10) = 2(-10)^2 - 10 - 4
f(-10) = 200 - 10 - 4
f(-10) = 186
NO LINKS NO FILES! Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Answer:
I do not agree
Step-by-step explanation:
because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)
Find the measures of the acute angles of the right triangle shown
9514 1404 393
Answer:
2x° = 64°(x-6)° = 26°Step-by-step explanation:
The acute angles in a right triangle are complementary:
2x° +(x -6)° = 90°
3x = 96 . . . . . . . . . divide by °, add 6
x = 32 . . . . . . . . . divide by 3
(x-6)° = (32 -6)° = 26°
2x° = 2(32)° = 64°
The acute angles have measures 26° and 64°.
in the number 32.8 which digit is in the ones place
help pls
Answer:
Step-by-step explanation:
the number 2 is in the ones place
its a pretty easy answer
A sofa is 900 more than the price of c which system of equation can be used to find price of each piece
Answer:
$1200
Step-by-step explanation:
S + C = 1200
S = C + 900
C + 900 + C = 1200
2C + 900 = 1200
2C = 300
C = 150
The chair costs $150. The sofa is $1050.
Together they cost $1200.
A craftsperson must attach a lead strip around all four sides of a stained glass window that is
8 4/5 in. by
14 17/25 in. before it is installed. Find the length of lead stripping needed.
9514 1404 393
Answer:
46 24/25 in
Step-by-step explanation:
Opposite pairs of sides are the same length, so the total length needed is ...
2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)
= 46 24/25 . . . inches
I need help with this
Base: 3 units
Height: 5 units
Area: 15 square units
([tex]A=b*h=3*5=15[/tex])
hope this helps :)
Calcula el volumen de un depósito de desechos sólidos subterráneo formado por una parte prisma
cuadrangular que tiene de lado 8 m y una profundidad de 20 m. se sabe, además que la otra parte del
depósito es una pirámide con altura de 4 m.
Step-by-step explanation:
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Plz help me simply algebra problem
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]
In circle S with mZRST = 86 and RS = 4 units find area of sector RST. Round to
the nearest hundredth.
R
S
T
Answer:
[tex]Area = 12.00[/tex]
Step-by-step explanation:
Given
[tex]\theta = m\angle RST = 86^o[/tex]
[tex]r = RS = 4[/tex]
Required
Area of RST
The sector area is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{86}{360} * 3.14 *4^2[/tex]
[tex]Area = \frac{86* 3.14 *4^2}{360}[/tex]
[tex]Area = \frac{4320.64}{360}[/tex]
[tex]Area = 12.00[/tex] ------------ approximated
3/8 pounds is greater or less than 1/4 pounds ?
Answer:
3/8 pounds is greater than 1/4 pounds
Step-by-step explanation:
Turn 1/4 to 2/8 by multiplying the top and bottom by 2
Compare
3/8>2/8
Find the slope of the line passing through the given points
(-11,7) and (-11, -2)
Answer:
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Step-by-step explanation:
Given two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 -7)/(-11 - -11)
= (-2-7)/(-1+11)
= -9/0
Dividing by zero give an undefined answer
undefined
Hi there!
»»————- ★ ————-««
I believe your answer is:
Undefined Slope
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Recall the Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\-----------------\\m=\frac{-2-7}{-11-(-11)}=\frac{-9}{0}\\\\[/tex]
⸻⸻⸻⸻
The slope is undefined. You cannot divide by zero.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP!!!!
Time limit!!!
A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the total cost, C, as a function of t, the amount of airtime in minutes?
Answer: C(t) =0.10t+25
Step-by-step explanation:
you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10
then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25
Are the following expressions equivalent? Yes or No? Please EXPLAIN
why you chose this answer for full credit. *
x + 2 - 3x - 10
x + 3x - 2 - 10
PLEASE HELP FAST ILL GIVE BRAINLYEST
Answer: They are not equivalent to each other because x+2-3x-10 is -2x-8 and x-3x-2-10 is 4x-12 so yeah
Step-by-step explanation:
there you go
There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No
Answer:
yes
Step-by-step explanation:
the packs are fighting for a common goal against each other
so they are competing
For the function h(x) defined below, find function f(x) and g(x) so that h(x)=(f^ g)(x) . h(x) = ((x + 2)/x) ^ 3
Answer:
Step-by-step explanation:
c
A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of each child are independent events. a. Write out all outcomes in the sample space for the genders of the three children. b. What should be the probability associated with each outcome
PLEASE HELP WILL MARK YOU!!!
Answer:
hear is your required answer
Answer:
please see the image given above. hope this helps
Suppose the ages at retirement for workers in the U.S. are normally distributed with an unknown population mean and standard deviation. If a random sample of 43 retirees is taken to estimate the mean retirement age, what t-score should be used to find a 80% confidence interval estimate for the population mean?
Answer: 1.302
Step-by-step explanation:
The sample used was 43 retirees, so n=43. To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
What is the confidence interval?A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.
here, we have,
The sample used was 43 retirees, so n=43.
To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
To learn more about the confidence interval, visit:
brainly.com/question/17097944
#SPJ2
Damon drove 120 miles on 2 hours and Ashley drove 135 miles in 2.3 hours. Ashley insist that she was traveling at a faster rate than damon. Is she correct, why?
Answer:
She is not correct
Step-by-step explanation:
distance = rate x speed
Damon:
120 = 2r
r = 60 miles per hour
Ashley:
135 = 2.3r
r = 58.7 miles per hour
I need the answer pls
Answer:
d
Step-by-step explanation:
0,0,0,1,1,1,2,2,3,4,7
count the numbers of the number? so theres six 0's and 1's altogether
theres three 2's and 3's altogether
there one 4
theres one 7
then plot them on the chart
which ones do i press ?
Answer:
Step-by-step explanation:
b,e
A family has a bike rack that fits seven bikes, but they only have 5 bikes. How many ways can they fit these bikes on the rack
Answer:
[tex]x=21 ways[/tex]
Step-by-step explanation:
From the question we are told that:
Bike space [tex]N=7[/tex]
Number of Bike [tex]n=5[/tex]
Generally the equation for This combination is mathematically given by
[tex]x=^NC_n[/tex]
[tex]x=^7C_5[/tex]
[tex]x= \frac{7!}{5!2!}[/tex]
[tex]x= 7*6/2[/tex]
[tex]x=21 ways[/tex]
