Complete Question
Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.
Answer:
The 95% confidence interval is [tex] 127.09 < \mu < 167.57 [/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 40[/tex]
The sample size is n = 15
The data given is 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i}{n }[/tex]
=> [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]
=> [tex]\= x = 147.33[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{40}{\sqrt{15} }[/tex]
=> [tex]E =20.24 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex] 147.33 -20.24< \mu < 147.33 + 20.24 [/tex]
[tex] 127.09 < \mu < 167.57 [/tex]
I desperately need help
Answ you need to find the slope using the coordinates. Then, you need to write the equation in Point-slope form and Slope-Intercept. (If ur teacher wants Standard Form do that too
Step-by-step explanation:
Help please D: I am in 6th grade and this in indeed hard
Answer:
Question one:A, C (i think)
Question two:D, E
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Answer:
give the other person brainliest
Step-by-step explanation:
Cuando es 2+2?solo estoy viendo que tan certeros son y aparte son puntos gratis
Answer:
4
Step-by-step explanation:
Answer:
four (4) gracias!!!!!!
help me please i dont know what this is i cant think
Answer:
ahhhhh swear that's scary honestly
How do you do this question?
Answer:
81 / 40
Step-by-step explanation:
The Maclaurin expansion of sin x is:
sin x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ⁺¹ / (2n+1)!
sin x = x − x³/3! + x⁵/5! − x⁷/7! + ...
Substituting this into the limit:
lim(x→0) [sin(3x) − 3x + ⁹/₂ x³] / x⁵
lim(x→0) [(3x − (3x)³/3! + (3x)⁵/5! − (3x)⁷/7! + ...) − 3x + ⁹/₂ x³] / x⁵
lim(x→0) [(3x − ⁹/₂ x³ + 3⁵x⁵/5! − 3⁷x⁷/7! + ...) − 3x + ⁹/₂ x³] / x⁵
lim(x→0) (3⁵x⁵/5! − 3⁷x⁷/7! + ...) / x⁵
lim(x→0) (3⁵/5! − 3⁷x²/7! + ...)
3⁵/5!
243 / 120
81 / 40
PLZZ HELP!!!!!
Which equation shows the quadratic formula used correctly to solve 7x2 = 9+ x for x?
At a local ball game the hotdogs sold for S2.50 each and the hamburgers sold for S2.75 each. There were 131 total sandwiches sold for a total value of S342. How many of each sandwich was sold?
Answer:
73 hot dogs
58 hamburgers
I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!
Plz helplpppppppppppppppppppp
Answer:
Part A: x+y=75 is the 1st linear equation
y=25+x
Part B:
x+y=75
x+(25+x)=75
2x=50
x=25
she spends 25 mins running
part c : no because if she spends 45 mins
then x+y=70
but x+y=75
she spends 50 mins dancing
Car at a constant speed
Answer:
it will have no acceleration, and a constant velocity.
Step-by-step explanation:
i need help with this plz i have no idea what to do
Answer:
When Item Price * (%) is < or > to $ Off
Step-by-step explanation:
The low temperatures in Akron over 4 days were ¯1°C, 0°C, 3°C, and ¯6°C. Which list shows these temperatures written in order from least to greatest?
Answer:
-6°C , -1°C , 0°C , 3°C
Juana is comparing prices of rolls of paper towels she sees a four pack of quick and clean paper towels for 4.28 which of the following has a lower unit price than a quick and clean paper towels
Answer:
Step-by-step explanation:
The price is $1.07 per roll. You must divide the amount in the quantity by into the price to get how much 1 of the items cost
Solve the following equation algebraically X^2=36
A. X=_+18
B. X=_+6
C. X=-6
D. X=-18
Answer:
I think the answer is C.
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept WILL GIVE BRAINIEST
Answer:
9) slope= (-1/5) y-intercept is 1 equation is y=-1/5x+1
11) slope= (-1/5) y-intercept is -4 equation is y=-1/5x-4
13) slope= (-4) y-intercept is 5 equation is y=-4x+5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Please answer this correctly without making mistakes
Answer:
The answer is $0.07 cents per inch
Step-by-step explanation:
If you take 6 feet into inches (72)
and divide the total cost by the amount of inches (5.04 / 72)
You get the answer
Evaluate the expression 16!/12!4!
Answer: Sorry i don't really understand the question
Step-by-step explanation:
determine whether each relationship is proportional by graphing on the cordinate plan. Explain your reasoning.
Answer:
It would be proportional.
Step-by-step explanation:
Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.
log_6(x+1)+log_6x=1
This is pretty simple once you figure out the trick.
All you have to do is make the args common.
Meaning [tex]log_{6}(x + 1) + log_{6}(x) = 1[/tex] is nothing but [tex]log_{6}(x(x + 1)) = 1[/tex]
Which is nothing but: [tex]log_{6}(x^2 + x) = 1[/tex].
Now using the scorpion tail method, this equation can be reframed to being: [tex]6 = x^2 + x[/tex]. You bring 6 to the other side and it'll become: [tex]x^2 + x - 6 = 0[/tex]
Factorise it and you get: [tex](x - 2) * (x + 3)[/tex]
Henceforth, the solution would be [tex]2[/tex] and [tex]-3[/tex]. :D
Answer:
D. x = 9
Step-by-step explanation:
edge 2022
Please answer this correctly without making mistakes
Answer:
$0.31
Step-by-step explanation:
what is the vaule of x
Answer:
x = 28
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.
50 + 2x + (3x-10) = 180
5x = 140
x = 28
kaley and tom both work at publix
Answer:
Sorry, is there more to the question?
Step-by-step explanation:
Put it DB and I'll gladly answer!
Solve the system of equations 4x+3y=6
Answer:
you do not have the second system of the equation for this so we'd solve it just like we solve standard form
x = 1.5
y = 2
Step-by-step explanation:
Write the equation in point-slope form of a line that has a slope of m=2 and the point (x, y) = (6,8).
(Remember: point-slope form is y-y1 = m(x -x1)
where (x1, y1) is a point and m is the slope.)
Answer:
y-8 = 2 (x-6)
PLEASE HELP I DONT HAVE MUCH TIME LEFT!
Answer:
2.66
Step-by-step explanation:
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
(1) 11x-10
(3) 15x - 6
(2) 13x -3
(4) 16x + 7
Answer:
15x-6
Step-by-step explanation: 4 * 2x = 8x
4*-5 = -20
7*x = 7x
7*2= 14
Combine like terms 8x + 7x + 14-20
15x-6
PLEASE HELP ASAP!
Sketch the graph of each line.
Step-by-step explanation:
1) (-3,0) (0,-3)
2) (-2,0)
3) (5,0) (0,-1)
4) (12,0) (0,3)
5) (-16,0) (0,4)
6) (-0.8333,0) (0,5)
Given 1 in =2.54 cm , how many centimeters are in a foot ?
Answer:
30.48
Step-by-step explanation:
Look up foot to centimeter :)
Answer:
30.48
Step-by-step explanation:
You take 2.54 and multiply it by the number of inches in a foot- 12.
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answer:
I think it is 200
but I am not very sure
Find the slope. (-20,-268),(-14,-196),(-8,-124),(-1,-40)
Can someone help me please
Answer: b)
Step-by-step explanation: answer is b because im smart and its very easy
