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
5 = x-(-10))
Pls help
5 = x - (-10)
5 = x + 10
5 - 10 = x
-5 = x
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Answer:
x=-5
Step-by-step explanation:
Multiply the numbers
5=x-1(-10)
5=x+10
Subtract 10 from both sides of the equation
5=x+10
5-10=x+10-10
Solution
x=-5
47/94 in lowest terms
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 47 and 94 is 47.
47 ÷ 4794 ÷ 47.
Reduced fraction: 12. Therefore, 47/94 simplified to lowest terms is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
You just keep simplifying.
Find the GCD of the numerator and denominator. The GCD of 47 and 94 is 47.
47 divided by 4794 divided by 47
Reduced fraction: 12. So 47/94 simplified is 1/2
Suppose that the function f:[a,b]-->R is bounded and that it is continuous except at one point x_0 in the open interval (a,b). Prove that f:[a,b]-->R is integrable.
Answer:
Step-by-step explanation:xn − xn−1 + xn−1 − xn−2 + ··· + x2 − x1 + x1 − x0. = xn − x0. = |I|. Suppose that f : [a, b] → R is a bounded function on the compact interval.
A car is traveling at a constant speed of M miles per hour. Which coordinate is
represented on the graph?
The cordinate of a car driving at M miles per hour on a graph is ( 1, M)
What is cordinate?Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
The cordinate of a point Q is represented by
Q( a, b) where a is the cordinate on x axis and b is the cordinate on y axis.
For example is a point B is located on a plane as ;
B( 2,3) , the 2 is the value on x axis and 3 is the value on y axis.
Therefore, For a speed of a car of M miles in 1hr, then
Speed = distance /time
This means on the graph , M will be on y axis and 1 hrs will be on x axis.
Therefore the cordinate of the speed of the car is
( 1, M)
learn more about coordinates from
https://brainly.com/question/17206319
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Does anyone have 9-15?
Need help please!!!!!!!
Answer:
yes ASA
Step-by-step explanation:
what is 90oz = __lb __oz
Answer: 90 ounces would equal to 5.625 pounds
Step-by-step explanation:
A piece of brass contains 1.66 grams of copper and 0.34 gram of
zinc. What is the mass of the piece of brass in grams?
Answer:
2.00 grams
Step-by-step explanation:
1.66 + 0.34 = 2.00
2.00 grams
-5x=5 solve for x plssss help
Answer:
x=-1
Step-by-step explanation:
-5x=5
-x=1
x=-1
or solve this way
-5x=5
5x=-5
x=-1
[tex] \Huge\begin{gathered} {\underline{\boxed{ \mathcal{\purple{Answer}}}}}\end{gathered}[/tex]
[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:5x \: = \: 5[/tex]
[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: \cancel\frac{5}{-5} \\[/tex]
[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: -1[/tex]
Please help me
I will give you brainly only if you answer the question
Thank you
Answer:
C, any real number
Step-by-step explanation:
-3(4z + 2) < -6(2z - 6)
(-12z - 6) < (-12z + 36)
We can remove -12z from both sides.
-6 < 36
Answer:
30) C
Step-by-step explanation:
Please helpp :(
no links
Answer:
40
Step-by-step explanation:
Divde the figure into three different rectangles. Find the area of each rectangle and add it all together.
3^8*__^8 = 12^__ Please help!!!!! I need urgent help!! Please!! I'll give you brainliest!!!!
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today :DD. I hope you are having a nice day.
So based on the question we need to do two steps, Rules of Exponents, and Solving. I'll go ahead and start with Exponential Rules first.
Rules of Exponents
The rules of exponents are simple, they boil down to a few things at this level of math:
+ To Multiply Exponents, we can add the Exponents of the Bases.
(Example: [tex]x^{2}*x^{3}=x^{5}[/tex])
+ To Divide Exponents, we need to subtract the Exponents of the Bases.
(Example: [tex]\frac{x^{5} }{x^3}=x^2[/tex])
Now that we know that, we can solve for the equation.
Solving
So, we need to solve for the blanks in this equation:
[tex]3^8*x^8=12^y[/tex]
**Where x and y are unknown.
So, first we know that for the multiplication of exponents, we need to add the exponent, so with that we know that it has to be 8 giving us our y.
Second of all, we know to multiple and solve for x we need to divide 12 by 3.
After doing that, and using basic math, we get x is equal to 4.
We can check our answers by inserting what we found into the equation:
[tex]3^8*4^8=12^{8}\\\\429981696=429981696[/tex]
Therefore, the answers are:
First blank is equal to 4, and the second blank is equal to 8.
We've checked our answers and they are correct!
Cheers!
What's the increasing & decreasing interval of f(x)=1/2|x+7|?
Answer:
Increasing interval is for all values of x that the function is defined by, in other words x is greater or equal to 0.
And there are not decreasing intervals.
Increasing interval is when the slope of the tangent at the function is positive.
Decreasing interval is when the slope of the tangent at the function is negative.
Please help me
Will give brainly if you answer the question
Answer:
For 30. the answer is D. For 31 the answer is B
Step-by-step explanation:
PLEASE HELP a
23. A cell phone company charges $0.10 per
text message if a customer sends up to 100
messages per month. The company charges
$0.08 per text if a customer sends between
101-200 messages, and $0.06 per text if the
customer sends between 201-300 messages.
Today is the last day of the month. Tamira has
sent 200 text messages, is it worth it for her
to send 1 more text message? Explain.
SEE EXAMPLES 3 AND 4
The rate of the cell phone company is an illustration of a linear equation
It is worth it if Tamira sends an additional message
The parameters are given as:
Rate = 0.10 per message for up to 100 messages
Rate = 0.08 per message from 101 to 200 messages
Rate = 0.06 per message from 201 to 300 messages
If Tamira sends 200 messages, the total charge is:
[tex]\mathbf{Total = 0.08 * 200}[/tex]
[tex]\mathbf{Total = \$16}[/tex]
If Tamira sends an additional message to make it 201 messages, the total charge is:
[tex]\mathbf{Total = 0.06 * 201}[/tex]
[tex]\mathbf{Total = \$12.06}[/tex]
By comparison.
$12.06 is less than $16
This means that she spends less is she sends 201 messages.
Hence, it is worth it if Tamira sends an additional message
Read more about linear equations at:
https://brainly.com/question/11897796
Fill in the table according to the following rules.
X: Add 3 to get the next term
Y: Add 2 to get the next term
Generate ordered pairs in the form (x,y) and plot
them on graph paper.
(Please help! I haven’t learned this yet this is a bonus question for our thanksgiving break packet! Btw there are 4 coordinates to be done on the paper, I will mark the correct answer Brainlyest!)
Answer:
the one under 00 for (x,y)
3,2
6,4
9,6
and then you just plot the points on the graph.
Step-by-step explanation:
5.
Are the graphs of the lines in the pair parallel? Explain.
y = 3/7 + 11
–3x + 7y = 13
A. No, since the slopes are different.
B. No, since the y-intercepts are different.
C. Yes, since the slopes are the same and the y-intercepts are the same.
D. Yes, since the slopes are the same and the y-intercepts are different.
Answer:
D. Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
yes because both line have a slope of .857/2
...................................................................................................................................................
yes; both have a slope of 3/7
...................................................................................................................................................
Yes. They have the same slope.
Give possible values for the measures of angles A and C if ABC is a right triangle.
Answer:
0 < A < 90
0 < C < 90
Step-by-step explanation:
If B is the right angle of the triangle, then the sum of the other angles, A and C, must equate 90° since all angles in a triangle sum to 180°:
A + C = 90
A and C could both be anything between 0 and 90, but they must satisfy the equation above:
0 < A < 90
0 < C < 90
Solve the equation: -42 + w = 5
Hey there!
-42 + w = 5
w - 42 = 5
ADD 42 to BOTH SIDES
w - 42 + 42 = 5 + 42
CANCEL out: -42 + 42 because it gives you 0
KEEP: 5 + 42 because it helps you solve for the w-value
NEW EQUATION: w = 5 + 42
SIMPLIFY IT!
w = 47
Therefore, your answer is: w = 47
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the slope of this line?
Please don’t send a link.
Look at image below
Benjamin has a ladder that is 15ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder make with the ground? Show your work.
Answer:
∠ = 66.9°
Step-by-step explanation:
Sin ∠ = opposite/hypotenuse
Sin ∠x = 13.8/15
In the graphing calculator use
[tex]sin^{-1}(13.8/15) = 66.9[/tex]
The angle to the nearest tenth is 66.9 degrees.
In order to determine the angle, the SOCAHTOA notation would be used. The ladder would form a right-angled triangle. we have the value of the opposite and the hypotenuse. So, sine would be used to determine the value of the angle.
Sine = opposite / hypotenuse
[tex]sine^{-1}[/tex] = 13.8 / 15
= 66.9 degrees
A similar question was answered here: rainly.com/question/25627150
What is the vertex of the graph of this function?
v = - (x + 2)(x+4)
Answer:
(-3,1)
Step-by-step explanation:
Hope this helps:)
9514 1404 393
Answer:
(-3 1)
Step-by-step explanation:
The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:
x = (-2 +(-4))/2 = -6/2 = -3
The y-coordinate of the vertex is the function value at that x-coordinate:
y = -(-3+2)(-3+4) = -(-1)(1) = 1
The coordinates of the vertex of the graph are (-3, 1).
what is 2:110 simplified
Answer:
fraction way:1/55
0Step-by-step explanation:
Name the value of the 9 in the number 36.19
Answer:
Hundredth
Step-by-step explanation:
The value of 9 in the number 36.19 is a hundredth
At the beginning of May. Alice's checking account balance was $752. She wrote checks for $142, $37 and $172. She deposite $40, $80 and $35. What was her balance at the end of the month?
Answer:
$556
Step-by-step explanation:
$752 - $142 = $610
$610 - $37 = $573
$573 - $172 = $401
$401 + $40 = $441
$441 + $80 = $521
$521 + $35 = $556
Writing checks takes money out so you subtract.
Depositing money means putting in which means you add.
Evaluate the expression 0.5a - 2b , when a=-5 and b=2
Answer:
-6.5
Step-by-step explanation:
To evaluate the expression we have to substitute a= -5 and b =2.
0.5a - 2b
= 0.5 * (-5) - 2 *2 , first multiply 0.5 *(-5) and 2*2
= -2.5 - 4, subtract (-2.5) and 4
(you can think at this as (- 2.5) +( - 4) because subtraction is just like adding a negative number )
= -6.5
A ratio uses __________ to compare the relative sizes of two quantities.
Answer: two
Step-by-step explanation:
Answer:
A ratio compares the relative sizes of two quantities
Step-by-step explanation:
what are the names of four coplanar points
Answer:
the answer is Points P, M, F, and C are coplanar.
Step-by-step explanation:
I hope this helps
When y = -20, x = 4.
Find y when x = 7
Answer:
y=-35
Step-by-step explanation:
The relationship between the values of x and y is multiplying by -5.
Therefore, when x equals 7, y is -35.
Just a splendiferous teen,
who listens to "Fight Song,"
stay salty...
work out the value of 35-3×9
Answer:
[tex]35 - 3 \times 9 \\ = > 35 \: - 27 \\ = > 08[/tex]
hope helpful <3
Answer:
8
Step-by-step explanation:
the most important thing to remember here is the priority, multiplication before substraction
35 - 3 * 9 = 35 - 27 = 8
