Answer:
The sample size required is 2500.
Step-by-step explanation:
z-score:
In function of the margin of error M, the z-score is given by:
[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}[/tex]
In this question, we have that:
[tex]\sigma = 51.02, M = 2, Z = 1.96[/tex]
So
[tex]Z = \frac{M\sqrt{n}}{\sigma}[/tex]
[tex]1.96 = \frac{2\sqrt{n}}{51.02}[/tex]
[tex]2\sqrt{n} = 51.02*1.96[/tex]
[tex]\sqrt{n} = \frac{51.02*1.96}{2}[/tex]
[tex](\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2[/tex]
[tex]n = 2500[/tex]
The sample size required is 2500.
Radius of sphere js 6 centimeters what is volume
the equation for volume of sphere is 4/3 x π x r^3
so just put the numbers in
4/3 x π x 6^3
= 288 π cm^3
Answer:
The volume of a sphere is given as
4/3 πr^3
There is only one variable, the radius, which we are given in the problem.
since the radius is 6 cm, we can plug that in to the formula
4/3 π6^3
Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.
Step-by-step explanation:
Hope it is helpful....
what is 30% of $40 is
Answer:
$12
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
30/100 = X/40
X/40 = 30/100
X*40/40 = 30*40/100
X = 1200/100
X = 12
Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be
Answer: 10 cats
Step-by-step explanation:
3/2
15/x
3*5=15
2*5=10
3/2=15/10
Answer:
20
Step-by-step explanation:
20
1) Classify each function as an exponential growth or an exponential decay. 1 point
f(x) =1/2
Answer:
f(3)=3/6=1/2
Step-by-step explanation:
hello
Transformations,, I have no clue what to do :(
Answer: 17
Step-by-step explanation:56%
determine the value of X and Y
PLS HELP :)
Answer:
x=90º
y=64º
Step-by-step explanation:
180-67=113
180-75=105
540-90-113-105=232
232/2=116
180-116=64º
180-90=90º
Plz help it’s due today’s
Answer:
% increase
Step-by-step explanation:
80(1.15) = 92
¿Qué representa 34?
Answer:
El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.
Step-by-step explanation:
Lengths of time, in months for a tumor to recur after chemotherapy I need answers for questions 1-8
Answer: irdk the awnser but F on that tumor
Which of the following inequalities matches the graph? 100 point
Which of the following inequalities matches the graph?
Answer:Looking at the graph the y values does not change, it stays at zero
The shaded area are the numbers under O
This means the answer is y ≤ 0
The answer is y ≤ 0Hope it helps
-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
A survey of U.S. adults who attend at least one music concert a year found that 67% say concert tickets are too expensive. You randomly select 12 adults who attend at least one music concert a year and ask them if concert tickets are too expensive. (Remember to make correction)
A)Find the probability that fewer than 4 people say that concert tickets are too expensive.
B)Find the probability that between 7 and 9 people, inclusive, say that concert tickets are too expensive.
C)Find the probability that at most 10 people say that concert tickets are too expensive.
Answer: b
Step-by-step explanation: step step
Please answer my questions truthfully and not gibberish just for points
Answer:
51. / 13.7
54. / 17.85
29. / 5.15
Step-by-step explanation:
How old are you?
Answer:
The original cable was 5.15 m long.
51: $13.70
53: $16.50
54: $17.85
55: 4.4 miles
56: $49.35
Step-by-step explanation:
The answer to the first question (the one about the cables): So you would solve it by adding the lengths of the cable together.
Cut off piece: 1.65 m Remaining cable: 3.5 m
To find the original length, we need to add the cut off piece and the remaining cable together.
1.65+3.5= 5.15
The original cable was 5.15 m long.
Which of the following grid correctly graphs the points A (3,1) and C (1,3)
Answer:
its the top right
Step-by-step explanation:
x before y
which equation in NOT an example of a liner function?
A. 11
B125
C. 275
D 450
Answer:
C
Step-by-step explanation:
duh
Marc claims that V17 is greater than 71. Jenny claims that it is
impossible to compare the numbers without a caldulator. Is either
friend correct? Explain.
What is the value of x in simplest radical form?
Answer:
25, I believe
Step-by-step explanation:
Given a=7 and b=24,
c = 25
Answer:
25
Step-by-step explanation:
a² + b² = c², by Pythagoras
In this case 'x' is the 'c' for hypotenuse length
7² + 24² = x²
49 + 576 = x²
625 = x²
√625 = x
25 = x
Simplify 9p + 3 + 4p + 7p - 4p - 4p and explanation please.
Step-by-step explanation:
this is your answer
hope it will help you
Parker went shopping for a new pair of sneakers. Sales tax where he lives is 5%. The price of the pair of sneakers is $23. Find the total price including tax. Round to the nearest cent.
Answer:
c
Step-by-step explanation:
cc
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer:
Option C
g/9
Step-by-step explanation:
g ÷ 9
[tex] = \frac{g}{9} [/tex]
A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Chris chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles he chooses are blue? Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
P(BB)=(4/10)(3/9)
P(BB)=12/90
P(BB)=2/15
What is 8.23 divided by 103?
Answer:
0.08
Step-by-step explanation:
If u do the math or put it in the calculator u should get 0.08
The game is used in a school to rasie money for charity. Each player pays 30p to play this game. To win a bag of crisps players have to sxore exactly 7. Each bag of crisps cost the school 20p. How much should the school expect to raise for charity if 60 peoples played the game
Answer:
The answer is "1500p".
Step-by-step explanation:
The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D
It implies, that only if https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p
But, https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p
for lollipops So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SAFE :)
XD
The school can expect to raise approximately £85.71 for charity if 60 people played the game.
If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:
Total amount raised = Number of players * Cost per player
Total amount raised = 60 * 30p
Now, let's calculate the cost of the crisps won by the players:
Cost of crisps won = Number of crisps won * Cost per crisp
Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.
To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:
Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps
Number of bags of crisps won = 60 / 7
Now, we can calculate the cost of the crisps won:
Cost of crisps won = Number of bags of crisps won * Cost per crisp
Cost of crisps won = (60 / 7) * 20p
Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:
Amount raised for charity = Total amount raised - Cost of crisps won
Amount raised for charity = 60 * 30p - (60 / 7) * 20p
To simplify the calculation, we can convert the pence to pounds by dividing by 100:
Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))
Amount raised for charity ≈ £85.71 (rounded to two decimal places)
Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.
To know more about charity click here :
https://brainly.com/question/31888282
#SPJ2
If 3 apple cost $4 , how much would one apple cost? Round to the nearest cent
Answer:
$1.33
Step-by-step explanation:
If 3 apple cost $4. Then the cost of one apple will be $1.33 per apple.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
If 3 apple cost $4.
Then the cost of the one apple will be given by the quotient of 4 and 3.
Then the price of one apple will be
⇒ $4/3
⇒$1.33 per apple
Thus, the cost of one apple will be $1.33 per apple.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
can somebody plllllzzzzzzzzzzz help me with this-2 (x + 4 + 5y)
Answer:
-2x -8-10y
Step-by-step explanation:
-2 (x + 4 + 5y)
distribute
-2x -8-10y
Find the value of x. Round to the nearest tenth
Answer:
x=24.1
Step-by-step explanation:
soh cah toa
cos(24°)=22/x
cos(24)= 0.9135
0.9135=22/x
0.9135x=22
x=22/0.9135
x=24.1
Answer:
24.1
Step-by-step explanation:
By sine rule:
[tex] \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1[/tex]
can somebody help me?
Answer:
80+5x
please mark me brainliest
Step-by-step explanation:
During tug of war, team A pulls to the East with 24N of force and team B pulls to the West with 32N of force. Which team will win and what is the net force?
Team B, 8N
Team B, 56N
Team A, 56N
Team A, 8N
Answer: Team B, 8N
Step-by-step explanation: I think it's team be because when doing the problem team a is 24 n to the right while Team B is 32 n to the left, and since they are pointing different directions you would subtract those and then get your answer. Since Team B has the larger force it will be the one to win.
I need help, this is homework due in a few minutes
The y-intercept is -6
It opens down.
The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.4 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi.
Required:
a. Should the fiber be judged acceptable? Use the P-value approach.
b. What is the probability of not rejecting the null hypothesis at α=0.05 if the fiber has a true mean breaking strength of 102 psi?
c. Find a 95% one-sided lower CI on the true mean breaking strength.
d. Use the CI found in part (d) to test the hypothesis.
e. What sample size is required to detect a true mean breaking strength of 101 with probability 0.95?
Answer:
H0: μ = 100 ; H1: μ > 100 ;
Test statistic = 0.75 ;
We fail to reject null ;
Kindly check explanation for the rest
Step-by-step explanation:
Given that :
H0: μ = 100
H1: μ > 100
Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4
Test statistic :
(x - μ) ÷ s/sqrt(n)
(100.6 - 100) ÷ 2.4 / sqrt(9)
0.6 ÷ 0.8 = 0.75
Probability of not rejecting the null :
P = P(Z > 0.75) = 0.22663
α = 0.05
Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi
μ + Zcritical*s/sqrt(n)
Zcritical at (1 - α) = 1.645
100 + 1.645*(2.4/3)
100 + 1.316 = 101.316
(x - μ) ÷ s/sqrt(n)
(101.316 - 102) ÷ 2.4 / sqrt(9)
-0.684 ÷ 0.8 = 0.75
= - 0.855
P(Z < - 0.855) = 0.1963 (Z probability calculator).
95% lower confidence interval :
x - error margin, E
E = Zcritical * s/sqrt(n)
E = 1.645 * 0.8 = 1.316
100.6 - 1.316 = 99.284
From part c :
Interval becomes ;
(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.