A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98 percent confidence interval for the population mean μ. The best point estimate for a confidence interval estimating the population μ is____ounces.
Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
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 = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/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 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope-intercept equation is written out like so:
y = mx + b
M stands for your slope: 1/2
B stands for your y-intercept: 4
So, your equation is y = 1/2x + 4
work out the size of angle x
Answer:
∠x = 117°
Step-by-step explanation:
supplement of ∠101° = 79°
all triangle interior angles add up to 180°
180° - 79° - 38° = 63°
the supplementary angle to 63° is 117°
who is the president of Tanzania?
Answer:
Samia Suluhu HassanStep-by-step explanation:
Answer:
The current president of the United Republic of Tanzania is
Her excellency Mama Samia Suluhu Hassan.
Step-by-step explanation:
Respect to this woman .
She is from the beautiful island of Zanzibar.
UR of Tanzania is a union government of Tanganyika and Zanzibar .
Currently the president ofZanzibar is from Zanzibar islands and the president of Tanzania also is from Zanzibar islands
Respectt to Zanzibar islands.
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
Find the distance between the points X and Y shown.
Answer:
5 units away
Step-by-step explanation:
a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue
Please help thank you!!!!!!
1
Select the correct answer from each drop-down menu.
A= 2 6 -3
1-4 3
5 3 -5
The determinants of the minors of the first-row entries are
The determinants of the minors of the second-row entries are
The determinants of the minors of the third-row entries are
Answer:
||| First row: 11 -20 23 ||| Second row: -21 5 -24 ||| Third row: 6 9 -14 |||
Step-by-step explanation:
I wish I could explain it better, but all I did was plug it into matrix A on:
https://atozmath.com/matrix.aspx?q=minor
I pressed "find" without changing any of the settings, and scrolled down until I saw what was in the attached screenshot.
Each of the rows correspond to the first, second, and third answers, as you can see.
I hope this helps!
triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.
Answer:
Step-by-step explanation:
ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]
Help! I’ll reward brainest its pretty easy
(Btw it’s the third person to the bus not the first)
Answer:
Preston 48.20 seconds.
Step-by-step explanation:
Look at the times for all 4 of them.
Sarah 48.02 seconds. Preston 48.20 seconds. Josh 52 seconds. Amber 40.02 seconds.From the information given, we can find the first to the last person to the bus. Whoever came to the bus in less seconds is the first person to reach to the bus and whoever came to the bus in more seconds is the last person to reach to the bus.
1 ---> Amber 40.02 seconds.
2 ---> Sarah 48.02 seconds.
3 ---> Preston 48.20 seconds.
4 ---> Josh 52 seconds.
I hope this helps and stay safe, happy, and healthy. Also I would appreciate if you give me the brainlist or not, thank you :) !!
Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.
Answer:
Step-by-step explanation:
to do lo so ko gogfr org reg grgrwe wffffqwf qw32767
6x-1/2=1 solve this equation
Answer:
cross ❌ multiply
6x-1=2
6x=2+1
6x=3
divide both sides by 6
x=1/2
Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español
Answer:
Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??
Step-by-step explanation:
please help pleaseeeeeee
Answer:
B
Step-by-step explanation:
it's basically 2+7
Answer:
it would be C
Step-by-step explanation:
Given the phrase "Rules of Exponents," what might the word "Rules" mean?
Answer
I think they are things that you have to follow in order to work with the exponents
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answer:
the answer is 6 :))))))))0
Step-by-step explanation:
There is 12 inches in a whole hole how many inches is in a half of a hole?
Answer:
6 is hoing to be your answer
Answer:
6in
Step-by-step explanation:
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer: 35
Step-by-step explanation:
(3uv/2u²-2v²)+5uv/3u²+3v2
Answer:
19/6 u^3 v + v^2
Step-by-step explanation:
3uv2
u2−2v2+
5uv3
u2+3v2
=32
u3v+−2v2+53
u3v+3v2
Combine Like Terms:
=32
u3v+−2v2+53
u3v+3v2
= (3
u3v+
53
u3v)+(−2v2+3v2)
125 is what percent of 200?
Answer:
125 is 62.5% of 200, hope this helps :)
1302 rounded to the nearest thenth
Answer:
1300
Step-by-step explanation:
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Answer: 1300 Is the answer! I hope this helped
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Number one and two please?
what is 3/10(x+2)=12
X=38
Hope I helped :]
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?
Please explain for brainliest.
Answer:
12 toppings
Step-by-step explanation:
9x5=45
540/45=12
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
Carl has visited 49 of the 50 states.
What percent of the states has he visited?
Need help quick
Answer:
98%
Step-by-step explanation:
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated