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
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answer: 24 1/2
Step-by-step explanation:
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
https://brainly.com/question/29407794
#SPJ6
simplify 4p^5q^3*p^2^-4
24p+7q
-----------
12
Answer:
[tex]4p^{5q^{3} -2}[/tex]
Step-by-step explanation:
The base would stay the same as nothing is being multiplied.
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answer:
10q+q+(12+q)=60
1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.
Answer:
i don't know if this is what you're asking but here you go
Step-by-step explanation:
90 + 3x + 2x = 180
90 + 5x = 180
- 90 - 90
5x = 90
/ 5 / 5
x = 18
Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Which
function can be used to find y, the total charges at this gym for x months?
Fy= 45x +39
Gy=6x +39
Hy=39x +6
jy=39x + 45
Answer: Its 39x + 45
Step-by-step explanation:
yes
Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?
Answer: 14% refused the offer.
Step-by-step explanation: Divide the number of refusals by the total sent.
35/250 = 0.14 Then multiply by 100 to change from decimal to percent.
The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)
0.14 × 100 = 14. So the answer is 14%
this is important please help I will give brainiest to people who get both
Answer:
First question is A.
Second question is C.
Step-by-step explanation:
First question is correct because non-linear graphs look just like that.
Second question is correct because 2 variables cannot equal the same thing in a function.
If u^2=d, what does the square root property state that u is equal to?
Answer:
the square root of d
Step-by-step explanation:
if [tex]u^{2} = d[/tex] then the square root property would take the square root of each side of the equation. the square root of [tex]u^{2}[/tex] would just be [tex]u[/tex] because it's already squared and its exponent would just be cancelled out, while d would simply turn to [tex]\sqrt{d}[/tex].
meaning if [tex]u^{2} =d[/tex] then [tex]u=\sqrt{d}[/tex], because you've done the same thing to both sides of the equal sign, so they remain equivalent.
The square root property says the value of u²=d is u=±√d
What is Square Root?The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds.
Given here: The expression u²=d
The square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.
Thus we have the given expression as u²=d
Taking square root on both sides we get u=±√d
Hence, The square root property says the value of u²=d is u=±√d
Learn more about the square root property here:
https://brainly.com/question/29286039
#SPJ2
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
Answer:
Part 1
The drawing of the quadrilateral is included here
Part 2
The area of the quadrilateral is 60.5 unit²
Step-by-step explanation:
Part 1
Please find attached the given drawing of the quadrilateral created with Microsoft Excel
Part 2
The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE
The height of the trapezium, h₁ = 4 units
For segment BC, we have;
The slope = (-5 - (-2))/(5 - (-4)) = -1/3
The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)
Which gives;
y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3
The y-intercept is (0, -10/3)
The lengths of the opposite parallel sides of the trapezium AECD are;
a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3
The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²
The height of triangle
The area of ABE, h₂ = 5
The base of triangle ABE = b = 31/3
The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²
The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE
∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
HELP ME PLEASEEEEEEEE
Answer:
2/3 more pizza
Step-by-step explanation:
because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
I need help with this question!
Experts only please
Will mark brainliest
Write an equation to represent the following description "fourteen less than 8 times a number is -11
Answer:
(8 * x) -14 = -11
Step-by-step explanation:
* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.
x = the number that is missing being multiplied by 8
I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.
Pls help me with this :)
Answer:
looks like school work
Step-by-step explanation:
DO IT ON YOUR OWN
True or false? The sum of the exterior angles depends on how many sides there are in the polygon?
Answer: true i believe
Step-by-step explanation:
Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)
Answer:
Im doing the same quesiton for flvs and dont know
Step-by-step explanation:
Answer:
what school do u do
Step-by-step explanation:
Fill in the blank 8(? +3) =48+24
Answer:
6
Step-by-step explanation:
treat the ? as an x. you need to get it by itself. but first you should distribute the 8.
8x + 24 = 48 +24
8x+24 = 72
take the 24 and subtract it from 72
8x= 48
now divide both sides by 8
x= 6
Answer:
6
Step-by-step explanation:
8(6 + 3) =48+24
8(9) = 48+24
72 = 48 + 24
72 = 72
what is a 888888890000+123321= _______???
Answer:
The answer is 888889013321Step-by-step explanation:
I hope l helped you.❤❤❤Stay safe ❤❤❤Answer:
The answer is 888,889,013,321
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
44 = 2 × (3 - 1)
help me answer this
Answer:
its a 48 lol (kkkkkkkkkkk)
What is the value of x?
Enter your answer in the box.
Answer:
7
Step-by-step explanation:
the surface "s" area of a sphere of radius " r" is given by the formula of s= 4πr^2
find;
1, the surface area of a sphere whose radius is 5 cm
2,the radius of a sphere whose surface area is 23716/81
Answer:
As below
Step-by-step explanation:
1) 4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]
2) s = 4 * pi *[tex]r^{2}[/tex]
[tex]\sqrt{s / (4*pi)}[/tex] =r
[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r
15.1643... = r :)
What is the answer will cashapp you
Answer:
3z + y = 1
Step-by-step explanation:
.........................
HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?
Answer:
$ 312.5 each member.....
Answer:
Each member of the family should pay 312.5Step-by-step explanation:
You should only divide 312.5 by 4 = 312.5I hope I helpedYou spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign
Answer:
You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.
Step-by-step explanation:
edge
helppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
A and C