Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
For more information, refer to the link given below:
https://brainly.com/question/20982963
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Solve the Proportion: 3/8 = x/12
x = 9/2
Get variable on one side of equation and solve"
x/12 = 3/8
x = (3/8)(12)
x = 9/2
Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"
Answer:
n2 - 7 = n + 13
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.
EASY i just don’t know how to do it pls help
Answer:
k
Step-by-step explanation:
Simplify 5c(3c^2)^3.
Answer:
5c(3c2)3
=135c7
Step-by-step explanation:
Answer:
135c ^3 i just took the test
Step-by-step explanation:
please help i have been stuck on this for so long :(
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
What is the fraction that is halfway between 1/3 and 3/2
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
the coffee pub has cans of coffee that weigh 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. what is the total weight of 8 1/2 cans ? show your work
Final Answer: [tex]27\frac{5}{8}[/tex] pounds
Final Answer Reason: The total weight of [tex]8\frac{1}{2}[/tex] cans would be [tex]27\frac{5}{8}[/tex] pounds
Steps/Reasons/Explanation:
We'll need to find the total weight of [tex]8\frac{1}{2}[/tex] cans, so we would need to multiply [tex]3\frac{1}{4}[/tex] cans by [tex]8\frac{1}{2}[/tex] cans. We are solving for the total weight of [tex]8\frac{1}{2}[/tex] cans.
Question: The coffee pub has cans of coffee that weigh [tex]3\frac{1}{4}[/tex] pounds each. The pub has [tex]8\frac{1}{2}[/tex] cans of coffee left. What is the total weight of [tex]8\frac{1}{2}[/tex] cans?
Solve For: The total weight of [tex]8\frac{1}{2}[/tex] cans.
Steps: Multiply to find total weight of [tex]8\frac{1}{2}[/tex] cans.
[tex]3\frac{1}{4}[/tex] × [tex]8\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{17}{2}[/tex]
= [tex]\frac{221}{8}[/tex]
= [tex]27\frac{5}{8}[/tex]
~I hope I helped you :)~
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
what is the given amount converted to the given units 144 ft; inches
Final Answer: [tex]1728[/tex] inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
Steps: Multiply 144 by 12
[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches
~I hope I helped you :)~
Selena is baking chocolate chip cookies. The recipe calls for 2 1/3 cups of semi-sweet chocolate chips. If she has already put in 1 1/2 cups into the batter , how many more cups of chocolate chips should be added to the batter?
Answer:
5/6
Step-by-step explanation:
If you minus 1 1/2 from 2 1/3 you get 5/6 left.
Please mark brainliest.
5/6 cups of more chocolate chips should be added to the batter.
Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.
What is a fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]
= 7/3 - 3/2
= 14/6 - 9/6
= (14-9)/6
= 5/6
Therefore, 5/6 cups of more chocolate chips should be added to the batter.
To learn more about the fractions visit:
https://brainly.com/question/10354322.
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Does anyone know the answer to this problem?
Answer:
15
Step-by-step explanation:
3^2 + sqrt4 + 4
3^2 = 9
sqrt4 = 2
(9)+(2)+(4)=15
therefore, the answer is 15
please help me 56 points
Answer:
Are you trying to solve for x?? orrr? what
Step-by-step explanation:
I can help you just gotta be specific
Write an inequality for the graph below
Answer:
y ≤ -4x - 3
Step-by-step explanation:
First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.
Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.
Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3
What is 7(9n − 3) − 7n
In order please
simply
Answer:
n= 3/8
Step-by-step explanation:
63n -21 -7n
63n - 7n = 21
56n = 21
n= 3/8 or 0.375
Answer: 56n-21
Step-by-step explanation:
7(9n-3)-7n Multiply parenthesis
63n-21-7n
SUBTRACT 63n-7n- 56n
Answer is: 56n-21
We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68
Answer:
C.) 63
Step-by-step explanation:
You know what you insisted on me answering, so I'll answer here.
35 ÷ 5 = 7
7 x 9 = 63
35/5 = 7
7 * 9 = 63
Therefore, there are 63 (C) old houses in the city.
helppppppppppppp pleaseeeee
Answer:
30 percent
Step-by-step explanation:
If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19
Answer:
19
Step-by-step explanation:
Plug 3 in for (x)
You'd have: 2(3)²+1
Solve. Do parentheses first so... 3²=9
You now have: 2(9)+1
Solve
18+1 = 19
What is the square root of 10,000 in simplest radical form?
Answer:
Step-by-step explanation:
the answer is 100
can you please help me with this
Answer:
Dot plot
Step-by-step explanation:
Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.
6th grade math i mark as brainliest
just add you the numbers and you will get the answer
Hey guys i need help asap, here’s the problem (j-5)(5)
Answer:
5j-25
Step-by-step explanation:
Answer:
5j - 25
Step-by-step explanation:
Distribute #5 among j and -5
Is this graph a function? why or why not.
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?
Answer:
60
or 200 miles is the hole trip
Step-by-step explanation:
Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]
What is the distance between point A and point B? Round to nearest tenth.
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
find the value of x round to the nearest tenth
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .