Answer:
a) A sample of 198 must be drawn.
b) Smaller, because the confidence level is smaller.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?
This is n for which M = 4.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]
[tex]4.1\sqrt{n} = 3.291*17.5[/tex]
[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]
[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]
[tex]n = 197.3[/tex]
Rounding up:
A sample of 198 must be drawn.
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Solving for n
[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]
That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.
95% < 99.9%, so a smaller confidence interval.
Smaller, because the confidence level is smaller.
Ms. Wall will roll two number cubes. What is
the probability that she will roll a sum of 9 ?
Express your answer as a fraction.
(I'll give brainlist if u get it right)
Answer: 9/1
Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.
To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
For a sum of 9, the following combinations are favorable:
(3, 6), (4, 5), (5, 4), (6, 3)
So, there are 4 favorable outcomes.
The total number of possible outcomes is still 6 × 6 = 36.
The probability of rolling a sum of 9 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Simplifying the fraction, we get:
Probability = 1 / 9
Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.
. In the casino game roulette, a wheel with 38 spaces (18 red, 18 black, and 2 green) is spun. In one possible bet, the player bets $1 on a single number. If that number is spun on the wheel, then they receive $36 (their original $1 $35). Otherwise, they lose their $1. On average, how much money should a player expect to win or lose if they play this game repeatedly
Answer:
For each game, the player should be expected to lose $0.0263.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of each outcome:
1/38 probability of winning, that is, 1/38 probability of receiving $36.
37/38 probability of losing, that is, 37/38 probability of losing $1.
On average, how much money should a player expect to win or lose if they play this game repeatedly?
For each game:
[tex]E(X) = \frac{1}{38}*36 - \frac{37}{38}*1 = \frac{36 - 37}{38} = -\frac{1}{38} = -0.0263[/tex]
For each game, the player should be expected to lose $0.0263.
If Candice has 1000 soaps and eats 5 how many apples will he have left?
Answer:
995
Step-by-step explanation:
Because you would have to subtract 5 from 1000 which is 995, hope this helped!
This week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday. If Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days?
Answer:
Jose will have played the guitar for 9.1 hours during those 6 days.
Step-by-step explanation:
Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:
3/4 = 0.75
1/2 = 0.5
(0.75 + 1.5 + 2.3) x 2 = X
4.55 x 2 = X
9.10 = X
Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.
Can someone please help me? I don’t understand this at all :/
activity 7 circles and terms related to it☺
Answer:
Step-by-step explanation:
The pats of the circle R required are:
1. A circle - ABCD
2. Four radii - AR, BR, CR, and DR
3. Two diameters - AB and CD
4. Two tangents - GA and TB
5. A chord - BC
6. Two secant each containing a diameter - ARB and CRD
7. The longest chord - AC = DB
8. Two points of tangency - A and B
9. Four minor arcs - AC, CB, BD, DA
10. Four major arcs - AB, BA, CD, DC
What is the circumference of the circle?
Answer:
The circumference of a circle is the distance around the outside of the circle
Hope It Helps :)
Step-by-step explanation:
Answer:
Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.
Circumference of a Circle Formula
The Circumference (or) perimeter of a circle = 2πR
where,
R is the radius of the circle
π is the mathematical constant with an approximate (up to two decimal points) value of 3.14
Again,
Pi (π) is a special mathematical constant; it is the ratio of circumference to diameter of any circle.
where C = π D
C is the circumference of the circle
D is the diameter of the circle
For example: If the radius of the circle is 4cm then find its circumference.
Given: Radius = 4cm
Circumference = 2πr
= 2 x 3.14 x 4
= 25.12 cm
I need help with these 2.
Answer:
A^2 + B^2=C^2
Step-by-step explanation:
21^2 + 28^2= c/c
For the second answer its just backwards.
Pls help extra points
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
which expression is equivalent to the expression given below 2(x-3) + 4x + 3
Answer:
6x-3
youre welcome
6x-3
that is the answer I got it right
Felicia bought 12 packets of tomato seeds. Each packet
contained 24 seeds. She planted 1 packet of the seeds, and
15 seeds sprouted.
Which statement about the seeds in the remaining packets
is best supported by this information?
Between 150 and 200 seeds will sprout.
No more than 100 seeds will sprout.
At least 200 but no more than 264 seeds will sprout.
All 264 seeds will sprout.
Answer:
Between 150 and 200 seeds will sprout
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ score between 69 and 137, to the nearest tenth?
Answer:97.4
Step-by-step explanation:
use calculator
Lower: 69
Upper: 137
Mean:100
Standard deviation: 15
i need help with my maths work.
don't send me links I cant open links
A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.
Answer:
Step-by-step explanation:
Hi there, check the image, For some reason they were telling it contained inappropriate words but I am not sure what are they referring to.
Answer:
x=12
y=20
Step-by-step explanation:
x+y=32
5x+7y=200
5x+5y=160
2y=40
y=20
x=12
Cuantas horas son de 7am a 5 pm
Answer:
10 hours or diez horas
Step-by-step explanation:
El total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).
(English)
What is a clock?A clock, often known as a timepiece, is a device that measures and displays the passage of time.
The clock works in 12 hours time period, therefore, the time between 7 am and 12 pm is 5 hours, similarly, the time between 12 pm and 5 pm is 5 hours.
Thus, the total hours between 7 am and 5 pm is 10 hours(5+5).
(Spanish)
¿Qué es un reloj?
Un reloj, a menudo conocido como reloj, es un dispositivo que mide y muestra el paso del tiempo.
El reloj funciona en un período de tiempo de 12 horas, por lo tanto, el tiempo entre las 7 am y las 12 pm es de 5 horas, de manera similar, el tiempo entre las 12 pm y las 5 pm es de 5 horas.
Así, el total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).
Learn more about Clock:
https://brainly.com/question/12528769
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WILL GIVE 30 POINTS TO WHOEVER SOLVES THIS
Answer:
142 square meters
Step-by-step explanation:
Big rectangle Area = LxW = 18 x9= 162
White triangle Area A = (ab)/2 legs 5 and 8 ( 18-10= 8 )
= (5x8)/ 2 = 20
Subtract white triangle from green rectangle
162-20 = 142
OR
area left rectangle LxW 10x9 = 90
area right rectangle LxW 4x8 =32
area green triangle ( sides 5 an8 ) (ab)/2 = 20
90+32+20 = 142
-136=-8(7-2x) what is the value of x
Answer:
x=-5
Step-by-step explanation:
hope i helped
A store by 17 sweaters for $255 and sells them for $578 how much profit does the store make per sweater.....
Write in slope form: y-7=4(x-1)
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
y-7=4(x-1)
y-7=4x-4
y=4x+7-4
y=4x+3
AB= Round your answer to the nearest hundredth. 3 3 65 B
Answer:
AB = 7.10
Step-by-step explanation:
Reference angle = 65°
Hypotenuse = AB = ?
Adjacent side length = BC = 3
Apply the trigonometric ratio CAH, to find AB.
Cos 65 = Adj/Hyp
Cos 65 = 3/AB
AB*Cos 65 = 3
AB = 3/Cos 65
AB = 7.09860475
AB = 7.10 (nearest hundredth)
Hank spent $635.71 on groceries. Peggy spent $293.96 on groceries. They decide to split the entire grocery bill, which is $929.67. How much does Peggy still owe Hank if they split the grocery bills equally?
Answer:
170.87 or 10.875 is u round it then its 170.88
Megan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized?
A- 60%
B- 50%
C- 62.5%
D- 75%
*6th Grade Mathematics*
A batch of 24 cupcakes requires 9 oz of flour Julio made 432 cupcakes for the bake sale how many pounds and ounces of flour did he use
Answer:
162
Step-by-step explanation:
432/24*9
162
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16. In a sample of 200 graduates, 24 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value at the 5% significance level are _________, respectively.
Answer:
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
Step-by-step explanation:
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.
This means that the null hypothesis is:
[tex]H_{0}: p \geq 0.16[/tex]
Testing this hypothesis, means that the alternate hypothesis is:
[tex]H_{a}: p > 0.16[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.16 is tested at the null hypothesis:
This means that [tex]\mu = 0.16, \sigma = \sqrt{0.16*0.84}[/tex]
In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.
This means that [tex]n = 200, X = \frac{24}{200} = 0.12[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue:
The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618
1 - 0.0618 = 0.9382
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
1/2 ÷1/5
create a story problem
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
5 /2
Decimal Form:
2.5
Mixed Number Form:
2 1/ 2
Answer:
There is half of a pie left. Bob need to share it with four friends how big are the pieces compared to the pie.
ANSWER:
1
__
10
Step-by-step explanation:
Scientists have put together bones to make a T-Rex skull that has a mass of 600 pounds. They just found a new tooth fossil to add to the skull that has a mass of 40 ounces. How many pounds is the T-Rex skull with the new tooth?
Answer:
16 ounces = 1 pound
meaning 2.5 pounds is added to the skull, 602.5 pounds.
Step-by-step explanation:
Answer:
have a good day
Step-by-step explanation:
hope it helps
What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?
Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
The explicit formula for the arithmetic sequence is D, a(n) = 4/5 + 1/6(n- 1)
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
The explicit formula is given by:
[tex]T_n = a + (n-1)d[/tex]
Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms).
Therefore, to find d:
29/30 - 4/5
29/30 - 24/30
d = 5/30
d = 1/6
Now putting them into the formula:
a(n) = 4/5 + 1/6(n- 1)
The last answer choice is right.
Learn more about arithmetic sequence here:
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HELP ME PLEASE I NEED TO PASS THIS CLASS
Answer: I could be wrong but it's probably 3.
Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)
Answer:
37°
Step-by-step explanation:
70°+73°+x°=180°
143°+x°=180°
x°=180°-143°
x°=37°
Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points
Answer:
10
Step-by-step explanation:
Let's find f(2) first.
f(2) = 2 + 2 = 4
This means it would be f(g(4)).
Then let's find g(4).
g(4) = 4 + 4 = 8
Then, this means f(8).
f(8) = 8 + 2 = 10
Can I please get help with these math problems? Thanks !
Answer:
1= 240. 2= 1800
girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!
Please Dont Get Mad If Its Wrong.