Answer:
The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p\\\\[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
The information provided is:
[tex]p=0.22\\n=276[/tex]
As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.
Compute the value of [tex]P(\hat p-p<0.06)[/tex] as follows:
[tex]P(\hat p-p<0.06)=P(\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.06}{\sqrt{\frac{0.22(1-0.22)}{276}}})\\\\=P(Z<2.41)\\\\=0.99202\\\\\approx 0.992[/tex]
Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card?
Answer:
21 cent per card
Step-by-step explanation:
5.25 / 25 = .21
because 25 can be divided into the first 2 numbers
17.34 , 17.04 , 17.7
from smallest to largest
Answer:
17.04, 17.34, 17.7
Please anyone know the answer
Answer:
what is the question?
Step-by-step explanation:
i dont see it hehe
Answer:
What’s the point of teh question may be tell us what you need help with....?
Step-by-step explanation:
Choose the appropriate descriptor for the term gram per centimeter cubed .
mass
area
volume
density
Answer:
Density
Step-by-step explanation:
The gram per centimeter cubed is a unit of density in the CGS system, normally used in chemistry, defined as mass in grams divided by volume in cubic centimeters. The official SI symbols are g/cm3, g·cm−3, or g cm−3.
Help I’m giving all my points for this question and brain will be given
Answer:
55,000
Step-by-step explanation:
Look at 40 on the x-axis and the y-axis. The line is inbetween 50 and 60 so the best answer would be 55,000
square root of 12 on the number line
Answer:
Point c
Step-by-step explanation:
Solve the system:
x + 6y = 17
X - 3y = 8
Answer: y=1, x=11
Step-by-step explanation: make x in one side in an equation and substitute it in the other and get the value of y then substitute y in one of the equations and get the value of x
x= 8+3y
8+3y+6y=17
9y=9
y=1
X=11
If the original quantity is 8 and the new quantity is 4, what is the percent decrease?
Answer:
50% decrease
Step-by-step explanation:
4/8×100
cancel out using 2
=1/2×100
=50%
mother had 1 1/2 dozen of eggs in refrigerator. she used 1/3 of eggs. what part of the eggs was used?
Answer: 1/2
Step-by-step explanation:
1 1/2 = 3/2
1/3 * 3/2 = 1/2
what is the slope of (-7,-13) and (1, -5)
I think the slope is 1. hope that helps
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
2 bunnies
Step-by-step explanation:
PLZ HELP ME IM desperate!!!!
When writing a rebuttal, what is the exact phrasing we use?
1) Always be polite and professional.
2) Specifically address the points that you disagree with.
3) Provide Evidence.
4) Close with a brief summary of your rebuttal.
Answer:
Although I believe ______, some may think that _______. However (evidence against their claim) shows that (explanation of evidence in 2-3 sentences)
Use the following function rule to find f(1).
f(x) = (2)*
f(1) = |
Submit
A line has a slope of 2/3 while another line has a slope of -3/2 What can you conclude about the lines
Answer:
They are perpendicular
Step-by-step explanation:
If 2 slopes are negative reciprocals of each other, it means they are perpendicular
Answer:
The lines are perpendicular because they have opposite reciprocal slopes.
Step-by-step explanation:
multiply (x-4)(x^2+5x+6).
Answer:
it's B
Step-by-step explanation:
your going to simplify x^{2}x+5xx+6x-4x^{2}-4\cdot5x-4\cdot6
pemdas? thank you!
(-12 ÷ 3) × 2 + 23
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( - 12 \div 3) \times 2 + 23 = [/tex]
[tex]( - 4) \times 2 + 23[/tex]
[tex] - 8 + 23 = [/tex]
[tex]23 - 3 - 5 = [/tex]
[tex]20 - 5 = 15[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
MY
LAST
QUESTION (NEED HELP ASAP) PLEASE!!!!
Answer:
The answer is A
Step-by-step explanation:
I need help with this word problem it’s urgent please help.
Rubbing alcohol contains 70% isopropyl alcohol. Suppose you are adding 180ml of liquid that contains 45% isopropyl alcohol. How much liquid should be added of the higher concentration to obtain rubbing alcohol that is 70% isopropyl alcohol?
Starting with some solution of volume v and an alcohol concentration of 100c % , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + v.
Each mL of the starting solution contains c mL of alcohol. For example, if the concentration of the starting solution is 80% (so c = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.
Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.
You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning
cv + 0.45 (180 mL) = 0.7 (180 mL + v)
and you want to solve for v :
cv + 81 mL = 126 mL + 0.7v
cv - 0.7v = 126 mL - 81 mL
(c - 0.7) v = 45 mL
v = (45 mL) / (c - 0.7)
Judging by context clues, c lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)
If, for example, c = 0.8, so that your starting solution is at 80% concentration, then you would need
v = (45 mL) / (0.8 - 0.7) = 450 mL
to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.
As another example, if you're mixing pure alcohol, so that c = 1, you would need
v = (45 mL) / (1 - 0.7) = 150 mL
to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.
Can someone help me solve for x
Answer:
x=58 degrees
Step-by-step explanation:
A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.
Please helpppppp NEED ANSWERS ASAP
Answer:
Step-by-step explanation:
if i new i would tell you but im haveing the same problem
Priya drew a circle whose circumference is 25 cm. Clare drew a circle whose diameter is 3 times the diameter of Priya’s circle. What is the circumference of Clare’s circle?
Answer:
About 75 (75.0002)
Step-by-step explanation:
25÷3.14=7.9618
7.9618×3=23.8854
23.8854×3.14=74.0002
Hope this helps:)
In George’s classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?
Answer:
6;2
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
HELP NOW PLEASE
The sum of two numbers is 31. One number is five less than three times the other.find the numbers
there are 135 teams in a soccer tournament. each team has 32 players. how many soccer players in all are in the league
Alison has read 45% of her book. If she read 81 pages, how many pages are in the book? PLEASE HURRY!!!!
Answer:
Im not sure but I think it is 172! I hope this helped!!
Step-by-step explanation:
PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answer:
1) 16
2) 35
3) 60 degrees
4) 72 degrees
5) (x+7)= 55 y= 70
Step-by-step explanation:
1) Special Triangle - All angles are 60 degrees, so that means all sides are the same length
2) You know that those two angles at the end are the same, so that means each of those side lengths are mirrored.
3) Special Triangle - Each side is the same, so all angles would be 60 degrees
4) You know that those two sides are the same, so their angles would be mirrored
5) You know that those two sides are the same, so their angles would be mirrored, to get 55 on both bottom sides. 55+55= 110 so, you'd need 70 degrees left to make it a triangle as all triangles are fully 180 degrees.
What is the equation to this graph?!PLS HELP FAST
Answer:
8 dollars
Step-by-step explanation:
Answer:
y=[tex]\frac{3}{2}[/tex]x+3.5
Step-by-step explanation:
slope: 3/2
Y-intercept: 3.5
Please Help! Knowing the negative sign (–) also means "opposite", how do you we read this expression, -8 • 2?
Which of the following could NOT be the measures of angle of a triangle?
Add or subtract Write in simplest form.
-11/15 - 1/15
Answer:
- 4/5
Step-by-step explanation:
Step 1:
- 11/15 - 1/15 Equation
Step 2:
- 12/15 Add the negative numbers
Step 3:
- 4/5 Convert
Answer:
- 4/5
Subtracting from a negative number is the same thing as adding them together.
Hope This Helps :)