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
Jack is age 45 and owns a self-only high deductible health policy with a $7,000 deductible under his HSA. What is his maximum permitted HSA contribution in 2020?
Answer:
$3350
Step-by-step explanation:
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family, in which these contributions require 100% tax -deductible at gross income.
Thus, the maximum permitted HSA contribution in 2020 for Jack is $3350.
The maximum permitted HSA contribution in 2020 for jack is $3350.
A health savings account (HSA) is a tax-advantaged savings account a family or individual can use to pay for qualified medical expenses. HSAs are paired with a high-deductible health plan (HDHP) and have annual contribution limits. Each year, the IRS HSA rules adjust the guidelines regarding HDHPs and HSA contribution limits.
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family.
Hence The maximum permitted HSA contribution in 2020 for jack is $3350.
For more details follow the link:
https://brainly.com/question/26017447
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
Find the Domian and Range.
Answer:
Domain: [-5,5]
Range: [-5,5]
Step-by-step explanation:
Domain: the set of possible values along the x-axis.
Range: the set of possible values along the y-axis.
HELLLOOOOOO VERIFIED PEOPLE OR GENIUS PEOPLE PLEASE HELP ME OUT!!
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 9.
Q' =
R' =
T' =
W' =
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a sca… Get the answers you need, now! ... Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 3. 2 ... Which expression has a value of -16 when p = 16 and q = 2?
sorry just looked it up
A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring
Answer:
Daily customers were there in the spring = 100 customers
Step-by-step explanation:
In winter :
Daily customers to weekly customers = 1:5
In spring
Daily customers to weekly customers = 4:2
And total weekly customer in winter = 125
Find:
Daily customers were there in the spring
Computation:
Total customer in winter = 125[6/5]
Total customer in winter = 150
Daily customers were there in the spring = 150 [4/6]
Daily customers were there in the spring = 100 customers
On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N
Answer:
im too confused. What am i supposed to be doing?
Step-by-step explanation:
Answer:
The mass =32/24×3
The mass is 4kg
Step-by-step explanation:
⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Answer:
26
Step-by-step explanation:
You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?
Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.
Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.
We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.
The results of this survey may be affected by nonresponse bias.
Answer:
The results of this survey may be affected by nonrepsonse bias
Step-by-step explanation:
Just took this test
Answer:
The results of the survey may be affected by no response bias
Step-by-step explanation:
Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p
Answer:
27.5 answer B
Step-by-step explanation:
55/200 = .275
Answer:
B is the right answer i guess
A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)
Answer:
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.
Thus,
(x, y) ⇒ (x – 3, y + 5)Step-by-step explanation:
Given the rule T–3, 5(x, y)
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.
Thus, if a triangle on a coordinate plane is translated according to the
rule T-3, s(x, y), then another way to write this rule will be:
(x, y) ⇒ (x – 3, y + 5)
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-3,-2) and (3,2)
The distance is 10 units
an=81,d=-3,n=18 solve the question by using formula an=a+(n-1)d
Step-by-step explanation:
An = A + (n - 1)d
We have An = 81, d = -3 and n = 18.
Hence A = An - (n - 1)d = 81 - (17)(-3) = 132.
A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers
Answer:
9/50
Step-by-step explanation:
There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:
Probability = number of favorable outcomes /total number of outcomes
Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50
A student wrote the problem in the box on his homework paper.
Given:6-2(x+7)=10
Step 1: 6-2x+14=10
Step 2:20-2x=10
Step 3:-2x=10
Step 4:x=5
Answer:
fooooot
Step-by-step explanation:
Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5
Answers:
18:12
3:2
Step-by-step explanation:
9:6 = 9 * 2 : 6 * 2 = 18:12
9:6 = 9/3 : 6/3 = 3:2
Hope this helps.
What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?
Answer:
331/100 or 3 31/100
Step-by-step explanation:
We have;
One - hundredth of 25 = 1/100 × 25 = 1/4
One-tenth of 30 = 1/10 × 30= 30/10 =3
One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50
So we have:
1/4 + 3 + 3/50 = 331/100 or 3 31/100
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
plz help me with this
Step-by-step explanation:
numbers 1 4 and 7
plz help me ........
Answer a is it
Step-by-step explanation
In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19
Answer:
yui no kami usika mi 4x5
Step-by-step explanation:
Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared
Answer:
25[tex]\pi\ m^2[/tex]
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, [tex]A[/tex] = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:
[tex]Area = \pi r^2[/tex]
Here, [tex]r = 10 m[/tex]
Putting the value in the above formula, we get:
So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]
i need to find the measure of the exterior angle of the triangle
Answer:
92º
Step-by-step explanation:
(2x-2)º=x+45º
2x-2=x+45
2x-x=45+2
x=47
____________
22x-2=2(47)-2=92º
ASAP plz help me with this
Answer:
6
Step-by-step explanation:
Given this number line, DB = [?]
13 - 11 = x
11 - v = 7
13 - 11 = 2
2 = x
11 - v = 7
7 + 4 = 11
4 = v
v + x = ?
2 + 4 = 6
Given this number line, DB = [6]
The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,
Answer:
63 boys
Step-by-step explanation:
7 - 1 = 6
54 divided by 6 is 9
9 x 7 = 63
Answer:
63 boys
Step-by-step explanation:
7-1=6
6*9=54
PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST
Answer:
d
Step-by-step explanation:
is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}
Answer:
nope always remember if the x's are the same its not a function :)
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
x has y
6 has 1 and later said
6 has 8
this could not happen in a function
Plz help fast!
Which type of association does each scatterplot
show?
A. Positive,
B. Negative,
C. No Association.
A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps
5x-2x(x-1)=???????????????????????????????
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
2
x + 6 that passes through (−2, 0).
The equation of the line that passes through (−2, 0) is y = .
Answer:
y = 7/2x + 7
Step-by-step explanation:
0 = 7/2(-2) + b
0 = -7 + b
b = 7
y = 7/2x + 7