Suppose you want to investigate the proportion of women police officers. How large should a sample be if the margin of error is .05 for a 92% confidence interval
Answer:
A sample of 307 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question, we have that:
We dont know the true proportion of women police officers, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size would be needed.
92% confidence level
So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].
How large should a sample be if the margin of error is .05 for a 92% confidence interval
We need a sample of n, and n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.75\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.75*0.5[/tex]
[tex]\sqrt{n} = 17.5[/tex]
[tex](\sqrt{n})^2 = (17.5)^2[/tex]
[tex]n = 306.25[/tex]
Rounding up
A sample of 307 is needed.
Chloe was given a large box of 36 chocolates for her birthday. If she eats exactly 2 chocolates each day, how many chocolates would Chloe have remaining 8 days after her birthday?
Answer:
on edge I got it right so yea
can you please anwser
Answer: (C)
Step-by-step explanation:
What is the value of t?
Answer: attached 47 degrees
Step-by-step explanation:
There is three inner triangles the total angle is 540 or 180*3 see comment
Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e2t 1 bacteria per hour. Find the population size after four hours
Complete Question
Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e^2t 1 bacteria per hour. Find the population size after four hours
Answer:
3010
Step-by-step explanation:
We were given the rate: 2e^2t
Step 1
We would integrate
P = Population
dP/dt = 2e^2t
dP =( 2e^2t) dt
∫dP = ∫ 2e^2t dt
P(t) = (2e^2t)/2 + C
P(t) = e^2t + C
Step 2
We solve for C
The culture initially has 30 bacteria
When t = 0
P(0) = 30
P(0) = e^2t + C
30 = e^2× 0 + C
30 = 1 + C
C = 30 - 1
C = 29
Step 3
Find the population size after four hours
t = 4, C = 29
P(t) = e^2t + C
P(4) = e^2 × 4 + 29
P(4) = e^8 + 29
P(4) = 3009.957987
Approximately = 3010 bacteria
The function f(x) is given by the set of ordered pairs. {(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)} Which is true regarding the function? f(–3) = 8 f(3) = 5 f(8) = 0 f(–6) = 10
Answer:
Thank you for your question. The options are missing: here are the missing options:
f(–3) = 8
f(3) = 5
f(8) = 0
f(–6) = 10
Answer
When a function f(x) is defined by ordered pairs (x,y), we can say that f(x) = y. Since it's a function, for every given x, there should only be one value for y.
(-6,10)
(0 , 4)
(1, -5)
(2, -1)
(8 ,-3)
it is not a line because the slopes are different
The correct answer is f(–6) = 10
Using the ordered pairs given, it is found that the true statement regarding the function is: f(–6) = 10
How ordered pairs are related to a function?A function y = f(x) is composed by a sequence of ordered pairs (x, f(x)).
In this problem, the pairs are as follows: {(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)}, hence:
f(8) = -3.f(0) = 4.f(1) = -5.f(2) = -1.f(-6) = 10.Hence the correct statement is f(–6) = 10.
More can be learned about ordered pairs at https://brainly.com/question/10585472
one morning the outside temperature was 14 Fahrenheit fine on the outside temperature had risen 18 Fahrenheit Play Midnight. By temperature had dropped by 6 Fahrenheit what was the outside temperature at midnight in degrees Fahrenheit
Answer:
14x18;16123
Step-by-step explanation:
This circle has a radius of 5 cm. What is the area of the circle?
Use = 3.14.
A.
157 cm2
B.
31.4 cm2
C.
15.7 cm2
D.
78.5 cm2
Answer:
D
Step-by-step explanation:
Answer:
A=πr²
3.14×5²
3.14×25
=78.5cm²
which one is correct????
Given:
[tex]m\angle ABC=46^\circ[/tex]
BD bisects angle ABC.
To find:
The [tex]m\angle ABD[/tex].
Solution:
It is given that, BD bisects angle ABC. It means, BD divides the angle ABC is two equal parts. So,
[tex]m\angle ABD=m\angle DBC=\dfrac{\angle ABC}{2}[/tex]
We need to find [tex]m\angle ABD[/tex], so
[tex]m\angle ABD=\dfrac{\angle ABC}{2}[/tex]
[tex]m\angle ABD=\dfrac{46^\circ}{2}[/tex]
[tex]m\angle ABD=23^\circ[/tex]
Therefore, the [tex]m\angle ABD[/tex] is 23°. Hence first option is correct.
This is due tomorrow! I need help!
1. 4 ÷ 1/2
2. 3 ÷ 1/8
3. 5 ÷ 1/3
Answer:
1.8
2.24
3.15
Step-by-step explanation:
What is $+%
WRONG ANSWERS ONLY
MAKE THE ANSWER A LONG ANSWER
EXPLAIN HOW YOU GOT YOUR ANSWER
MAKE IT KINDA MAKE SENSE
I WILL GIVE BRAINLIEST
Answer:
$%
Step-by-step explanation:
cause x to the square root of 27 x 9382 is equal to the penguin race that gives us $%
Glad i could help!
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
2, 20, 36, 50 is a prefect square
Answer
36 is a perfect square
50 is not a perfect square
20 is not a perfect square
2 is not a perfect square
So, the answer is 36
Hope this helps! <3
URGENT WILL GIVE BRAINLIEST
Answer:
ok
Step-by-step explanation:
Here is the picture
Answer:
(6, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - 10y = -28
-10x + 10y = -20
Step 2: Solve for x
Elimination
Combine equations: -8x = -48Divide -8 on both sides: x = 6Step 3: Solve for y
Define equation: 2x - 10y = -28Substitute in x: 2(6) - 10y = -28Multiply: 12 - 10y = -28Isolate y term: -10y = -40Isolate y: y = 4List the number from least to greatest.
Answer:
1. $1430
2. $930
3. $1070
4. 105
96
-20
-76
-560
what is another way to solve 8 × 6.98
Answer:
8 × 6.98
Step-by-step explanation:
..............
If 3 units equal 3 feet, what is the value of 1 unit?
Answer:1 foot
If 3 units equal 3 feet, what is the value of 1 unit?
CAN ANYBODY HELP ME PLZ
Answer: isosceles scalene scalene and equalateral
Step-by-step explanation:
find the value of p in parallelogram
Answer:
p = 11
Step-by-step explanation:
In a parallelogram BA and CD are parallel so you would set the problem up 7p = p +66
- p both sides
6p = 66
divide 6 both sides
p = 11
Need help extra points and Mark brainlist
Answer:
i think the answer would be 8 2/5
Step-by-step explanation:
but i also need to know what the other uestions are saying
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
Daniel reads 30 pages of his books in 2 hours. Elizabeth reads 45 pages of her book in 3 hours. Do Daniel and Elizabeth read at the same rates, and why?
Answer:
C. Yes. Daniel and Elizabeth each read 15 pages an hour
Step-by-step explanation:
30 + 45 = 75
3 + 2 = 5
75/5 = 15/h
Hope it helps, sorry if its wrong.
CORRECT ANSWER GETS BRAINLIEST!
Answer: 3 different orderings :)
Step-by-step explanation:
Answer:
504
Step-by-step explanation:
9*8*7 = 504
pretty pls help me :3
Answer:
You can do 60 ÷ 6 = 10 groups.
Step-by-step explanation:
There are many ways to answer this and it's very simple.
6 and 10 is just one of the many factors of 60.
you can also do 60 ÷ 2 = 30 groups
Solve the inequality
5x+2 < 32
Answer:
x=6
Take 2 to the other side, the sign becomes negative. You're then left with 5x is less than 30. After that just divide both sides with 5 so that you're left with x.
The value of x is less than 6
What is inequality?Inequality shows the relationship between two values in an algebraic equation that are not equal.
The given inequality is 5x + 2 < 32
Subtract -2 from both sides of the inequality then we get
5x < 30
Next, divide both sides by 5, then we get the range of x.
i.e x < 6
The solution to the given inequality is x < 6 .
To learn more about inequality use the below link:
https://brainly.com/question/28823603
#SPJ5
help please please pleaseee!!!
(check the picture)
Answer:
the answer is x < - 6
Step-by-step explanation:
see the pictures for the step by step explanation
i hope this helps
if you need more help understanding algebraic inequality's
if this helps please give brainliest
and 5 stars
Also share this answer so it can help others
thanks,
skymillie28
Expert
6) Change the amount of sugar to show a sweeter atole.
Atole
Total
Flour (tbsp)
5
Sugar (tbsp)
5
Solve for n in each of the following equations:
(a)
n^ Pbase2=110
Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
Given
[tex]^nP_2 = 110[/tex]
Required
Solve for n
[tex]^nP_2 = 110[/tex]
Start by applying permutation formula:
[tex]\frac{n!}{(n-2)!} = 110[/tex]
Expand the numerator
[tex]\frac{n*(n-1) * (n-2)!}{(n-2)!} = 110[/tex]
(n-2)! cancels out
[tex]n*(n-1) = 110[/tex]
Expand
[tex]n^2 - n = 110[/tex]
Subtract 110 from both sides
[tex]n^2 - n -110= 110-110[/tex]
[tex]n^2 - n -110= 0[/tex]
Expand:
[tex]n^2 - 11n +10n-110= 0[/tex]
Factorize:
[tex]n(n-11) +10(n-11)= 0[/tex]
[tex](n+10)(n-11) = 0[/tex]
This implies that:
[tex]n + 10 = 0\ or\ n - 11 = 0[/tex]
[tex]n = -10\ or\ n = 11[/tex]
But n can't be negative.
So:
[tex]n = 11[/tex]
What does the inverse of a positive number mean?
Answer:
When it comes to positive and negative numbers, you can think of the inverse as being the "opposite." For example, for 5, the inverse is -5.