Answer:
Step-by-step explanation:
solve for x, 3(xt2)=2(2-x)
Answer:
x=-2/5
Step-by-step explanation:
3x+6=4-2x3x+2x=4-65x/5=-2/5x=-2/5Scientists often use mice to study human disease and physiology. Parker et al. (2016) studied over 1000 newborn mice in order to better understand the genetic loci involved in many human diseases. As part of this study, the scientists snipped up to 5 mm from the end of each mouse's tail for the purpose of DNA collection. The scientists weighed each mouse immediately after snipping its tail. The provided data set lists the weights of the mice (in grams) after snipping.
Suppose the researchers wish to determine a range of plausible values for the weights of newborn mice with recently snipped tails. Use software to construct a 95% t-confidence interval for the population mean weight of newborn mice with snipped tails.
Complete the sentence to state how the researchers should correctly interpret the t-confidence interval.
The____that___of____is between the upper and lower limits of the confidence interval.
a. the true population mean weight.
b. the true sample mean weight.
c. researchers are 95% confident
Results - Descriptive Statistics
Export
n Sample Mean Standard Min Q1 Median Q3 Max
Deviation
id1200 4.250e+4 6068 26305 4.293e+4 4.425e+4 4.568e+4 47073
bwo 1200 25.39 3.030 13.40 23.50 25.20 27.40 38.70
Using the t-distribution, it is found that the 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).
The interpretation is: The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.
We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 42500[/tex].
Sample standard deviation of [tex]s = 6068[/tex].
Sample size of [tex]n = 1200[/tex].
The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 1200 - 1 = 1199 df, is t = 1.96.
The interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 42500 - 1.96\frac{6068}{\sqrt{1200}} = 42157[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 42500 + 1.96\frac{6068}{\sqrt{1200}} = 42843[/tex]
The 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).
The interpretation is that we are 95% sure that the population mean weight is in this interval, hence:
The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.
A similar problem is given at https://brainly.com/question/25417022
Marilyn has
78 yard of ribbon. What is the maximum number of 116 yard-long pieces Marilyn can cut from this ribbon?
Answer: She can cut 14 pieces
Step-by-step explanation:
I grew up on a pig farm. We raised baby pink pigs from birth to 8 weeks old. A 90% confidence interval is calculated for a sample of weights of 135 randomly selected 8-week old pigs. The resulting confidence interval is 75 to 90 pounds. Will the sample mean weight, from this random sample of 135 pigs, fall within the confidence interval?
a. yes
b. no
c. maybe
Answer:
A
Step-by-step explanation:
3 4 5 6
The sample mean weight, from this random sample of 135 pigs, fall within the confidence interval. (Option A: yes)
How to find the confidence interval for large samples (sample size > 30)?Suppose that we have:
Sample size n > 30Sample mean = [tex]\overline{x}[/tex]Sample standard deviation = [tex]s[/tex]Population standard deviation = [tex]\sigma[/tex]Level of significance = [tex]\alpha[/tex]Then the confidence interval is obtained as
Case 1: Population standard deviation is known[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Case 2: Population standard deviation is unknown.[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}[/tex]
For this case, we work with sample standard deviation(you can choose even population standard deviation, it won't matter as both are not given here).
We're provided that:
Sample size = n = 135Confidence interval is of 90%, therefore, Level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 10/100 = 0.1 (converted percent to decimal)The critical value of Z at 0.1 level of significance is [tex]\pm 1.645[/tex]Confidence interval's limits = 75 (lower limit) and 90(upper limit) (in pounds)Sample mean = [tex]\overline{x}[/tex]Sample standard deviation = [tex]s[/tex]Since the formula for limits of confidence interval is:
[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}} = \overline{x} \pm 1.645\dfrac{s}{\sqrt{135}}[/tex]
That has:
[tex]\text{Lower limit} = 75 = \overline{x} - 1.645\dfrac{s}{\sqrt{135}}\\\\\text{Upper limit} = 90 = \overline{x} +1.645\dfrac{s}{\sqrt{135}}\\\\[/tex]
Thus, we get:
Adding both the equations, we get:
[tex]165 = 2\overline{x}\\\\\overline{x} = 82.5 \: \rm pounds[/tex]
That is between 75 and 90 pounds.
Thus, the sample mean weight, from this random sample of 135 pigs, fall within the confidence interval. (Option A: yes)
Learn more about confidence interval for large samples here:
https://brainly.com/question/13770164
29. 2500 people took part in a cross-country race. The number
of adults were 4 times the number of children. If there were
1200 men, how many women were there?
800 women because
2500 divided by 5 = 500 children
then.......2500 minus 500 children minus 1200 men is a balance of 800 women.
Pls help ive been stuck on this for hours
Answer:
the correct choice is marked
Step-by-step explanation:
The lengths will form a right triangle if the squares of the two shortest legs total the square of the longest. The square of a root is the number under the radical, so you're looking to see if the two smallest numbers under the radicals total the largest number under the radical.
A: 22 +88 = 110 . . . . . a right triangle
B: 66 +99 = 165 ≠ 176 . . . . an obtuse triangle
C: 22 +110 = 132 ≠ 121 . . . . an acute triangle
D: 66 +77 = 143 ≠ 154 . . . . an obtuse triangle
_____
Additional comment
The largest angle is opposite the longest side. If the longest side is too long for the triangle to be a right triangle, then the opposite angle is larger than 90°, and the triangle is obtuse. If the longest side is too short for a right triangle, then the triangle is acute.
Help help help help help math please
Answer:
It's dilate
Step-by-step explanation:
Because it changed in size and if it would to be translation the same size would be the same just different amount of spaces between the shapes.
if anyone could help me with one of these it'd be greatly appreciated
TRUE OR FALSE a bill of rights is a list of essential freedoms
Answer:
I do believe that the answer is true
Step-by-step explanation:
Answer: TRUE
Step-by-step explanation: A bill of rights is a list of the most important rights belonging to the citizens of the country. It is the declaration and enumeration of a person's right and privileges even the government must respect that.
there is 30 gallons of water and 12 gallons of lysol in a cleaning mixture. what is the percent of the mixture is lysol?
Answer:
40%
Step-by-step explanation:
To find the percentage, set up a proportion!
12/30 = x/100
Now cross multiply!
30 · x = 30x
12 · 100 = 1,200
You are left with:
30x = 1,200
Divide both sides by 30...
And you get....
x = 40
The mixture is 40% lysol!
I hope this clears up any confusion you may have had :D
6300kg in grams in standard form
Answer:
6300 kg is equivalent to 6.3·10^5 g
Step-by-step explanation:
Convert 6300 kg TO g in standard form. Recall that 1000 g = 1 kg.
1000 g
Multiplying 6300 kg by ------------- results in 63·10^4, or 6.3·10^5
1 kg
6300 kg is equivalent to 6.3·10^5 g.
Akio is a board game he starts with 0 points on his first turn Aiko earns 8 points on his second turn he loses three points the expression 8 + (-3) represents the situation use a model to find 8 plus (-3) (if you get this right I will be your best friend :)--)
Answer:
(3+8)+(-3)
Step-by-step explanation:
9514 1404 393
Answer:
8 + (-3) = 5
Step-by-step explanation:
A number line offers a suitable model. +8 is represented by a segment extending from 0 to 8. -3 is represented by a segment extending from 0 to -3. The addition of those numbers is modeled by placing those segments end-to-end. In the attachment, we have shown -3 placed so it starts at the end of +8. The other end of -3 lies at the sum: 5.
8 + (-3) = 5
What is 9(2g-h) simplified
Step-by-step explanation:
9(2g - h) = ...
= (9•2g) + (9•(-h))
= 18g - 9h
Write an equation of the line that passes through (6, 1) and is perpendicular to x +2y-12=0.
Answer:
y = 2x - 11
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes—multiplying the slopes of two lines results in a product of -1.
Given the linear equation, x + 2y - 12 = 0, and the other point, (6, 1):
Convert the given linear equation into its slope-intercept form:
x + 2y - 12 = 0
Subtract x from both sides:
x - x + 2y - 12 = - x 0
2y - 12 = -x
Next, add 12 to both sides of the equation:
2y - 12 + 12 = -x + 12
2y = -x + 12
Divide both sides by 2 in order to isolate y:
y = - ½x + 6
Since the slope of the given equation is - ½, then the other line perpendicular to it must have a slope of 2:
Let m₁ = - ½
m₂ = 2
m₁ × m₂ = -1
-½ × 2 = -1
Hence, the slope of the other line, m₂ = 2. Next, using the slope of the other line, m₂ = 2, and the other given point, (6, 1), substitute these values into the slope-intercept form to solve for the y-intercept, (b):
y = mx + b
1 = 2(6) + b
1 = 12 + b
1 - 12 = 12 - 12 + b
-11 = b
Thus, the y-intercept of the other line is b = -11.
Therefore, the linear equation of the line that is perpendicular to x + 2y - 12 = 0 is:
y = 2x - 11.As a proof, attached is the graph of both equations, where it shows that they are perpendicular from each other.
A family eats at a resturaunt. The bill is $75. The family leaves a tip and spends $87 total. What percentage tip did they leave?
Answer:
7.77
Step-by-step explanation:
which statement best reflects the solution(s) of the equation?
Answer:
A
Step-by-step explanation:
126/999 simplified
Answer:
14/11
Step-by-step explanation:
The sum of four times a number and five is twenty-one. Find the number
Write out the equation:
4x + 5 = 21
Subtract 5 from both sides:
4x = 16
Divide both sides by 4:
X = 4
The number is 4
expand the function f(x)=(3x+2)
Answer:
81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:
Need help it's a pic
Step-by-step explanation:
Hope this will helps you
Solve (x-4)^2=5
answer: (x=5+√4
Answer:
x = 4 + sqrt 5
x = 4 - sqrt 5
Step-by-step explanation:
(X-4)^2 = 5
X - 4 = + - sqrt 5
X = 4 + sqrt 5 and
X = 4 - sqrt 5
Answer:
Step-by-step explanation:
Take the square root of each side of the equation to set up the solution for x
[tex](x-4)^{2*\frac{1}{2} } =[/tex] ±[tex]\sqrt{5}[/tex]
Remove the perfect root factor x - 4 under the radical to solve for x.
x - 4 = ±[tex]\sqrt{5}[/tex]
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
[tex]x-4=\sqrt{5}[/tex]
Add 4 to both sides of the equation.
[tex]x=\sqrt{5} +4[/tex]
Next, use the negative value of the ± to find the second solution.
[tex]x-4=-\sqrt{5}[/tex]
Add 4 to both sides of the equation.
[tex]x=-\sqrt{5} +4[/tex]
The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} +4,-\sqrt{5} +4[/tex]
Does anyone know what the table is? I need help
Answer:
yea its the thing you eat your food on at breakfast lunch dinner etc.
Step-by-step explanation:
Help hurry hurry fast converting
Answer:
ok so a is 1b b is 5 c is 57 d is 97
How does The perimeter of the larger figure relate to the perimeter of the original figure?
Answer:
Perimeters of Similar Figures
of their perimeters is equal to the ratio of their corresponding side lengths.
Step-by-step explanation:
BRAINLIEST?Answer:
here it is
Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary.
HELP PLZ IM GIVING BRAINLIEST
Answer:
6 large Boxes 2 Small boxes
Step-by-step explanation:
400 - 800 - 1200 - 1600 - 2000 - 2400
1 2 3 4 5 6
50 - 100
1 2
2 is 1/3 of 6
2400 + 100 + 2500
help me please in zearn
Answer:
woah amazing
Step-by-step explanation:
(x - 30°)
to
to
(x - 30)
(x - 30)
If all other factors stay the same, which sample size will create the widest confidence interval?
A) N=100
B) N=200
C) N=300
D) The value of N does not matter here
Answer:
n=300
Step-by-step explanation:
Help please, 20 pts. Which one?
Answer:
you are correct
Step-by-step explanation:
brainliest pls
Given this equation;
5p + 3 = 15
Write a situation that this equation could help you solve and explain how cach part
of the equation relates to the situation you create.
Answer:
18
Step-by-step explanation:
