a) The z-value is = 1.15
b) The p-value is 0.124. the null hypothesis is true.
What is a z-value?
When a value is given a Z-value, it shows how far off from the standard deviation it is. The number of standard deviations a given data point is above or below the mean is represented by the Z-value, also known as the standard value.
The level of variability within a particular data collection is effectively reflected in the standard deviation. Standard values for raw scores above the mean are positive, while standard values for raw scores far below mean are negative.
Solution Explained:
GIven in the question,
x = 620 and n = 1200
First we find the sample proportion,
P = x/n
= 620/1200
= 0.517
H0:p=.50 is the null hypothesis to be tested.
H1:p>.50 is the alternate hypothesis that needs to be examined as well.
We must use the Minitab software to test for the Z and P values and draw conclusions based on the results.
As a consequence, the
1. Z is solved to have a value of 1.15.
2. A P value of 0.124 is used. We would decide against rejecting the null hypothesis because the P value is so high.
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A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?
25 inches
20 inches
10 inches
5 inches
Option C.10 inches. Since the area of the is cylinder 100π, The height of the can is 10 inches.
The area of the label is the lateral area of the cylinder, which is given by:
Lateral area = 2πrh
where r is the radius of the cylinder, and h is its height.
We are given that the area of the label is 100π square inches and the radius of the can is 5 inches. Therefore, we have:
100π = 2π(5)(h)
Simplifying this equation, we get:
100 = 10h
Dividing both sides by 10, we get:
h = 10
Therefore, the height of the can is 10 inches. Answer: C. 10 inches.
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A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?
A. 25 inches
B. 20 inches
C. 10 inches
D. 5 inches
Answer:
Instead of having the read that long response, just know that the answer is 10 inches.
Step-by-step explanation:
You're welcome! I took the quiz so you don't have to! <3
if a confidence interval is given from 43.85 up to 61.95 and the mean is known to be 52.90, what is the margin of error?
The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).
In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.
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A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²
a population of 1,000 students spends an average of $10.50 a day on dinner. the standard deviation of the expenditure is $3. a simple random sample of 64 students is taken. what is the shape of the sampling distribution of the sample mean?
The shape of the sampling distribution is attached below
What is standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
The mean of the sampling distribution of the sample means is the mean of the population from which the scores were sampled.
The standard error of the mean is the standard deviation of the sampling distribution of the sample mean.
A Z-score indicates the number of standard deviations an element is deviated from the mean.
Using Central limit theorem,
If (n >30) is sufficiently large then the sampling distribution of sample mean follows a normal distribution with mean µx = µ
and standard error
σx = σ / √n
The formula for mean of the sample mean is,
µx = µ
The formula for standard deviation of the sample mean is,
σx = σ / √n
µ = 10.05
σ = 3
n = 64
∴The value or mean of the sample mean is,
µx = µ
= 10.05
The standard deviation of the sample mean is,
σx = σ / √n
= 3 / √64
= 0.375
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Analyze the function f(x)=-^2+5x+6. What do you remember about this type of functions? What do you recognize?
Answer:
It is a quadratic function. You are missing the x, I assume. You can factor it out to the bionominals of (x+3)(x+2).
Answer:
It's a quadratic polynomial (of degree 2) with a positive slope of 5 and a y-intercept of 6.
Step-by-step explanation:
I'm assuming you meant "x^2" and not "-^2".
given that ac is perpendicular to ab and equation of bc is y=-5x+47 find coordinates of c if a(3,6) and b(7,12)
Which answer choice best describes Saundra’s claim?
6 pages every 1/5 hour in unit rates
Answer:
30 pages per hour
Step-by-step explanation:
6 pages per 1/5 hour
6 x 5 = 30
1/5= one whole would be five parts
I’ll give brainliest
Answer:
B
Step-by-step explanation:
We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.
We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.
Thus, the answer is B.
~ an aesthetics lover
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
GIVING BRAINLIEST IF THE ANSWER IS RIGHT PLS HELP!!!!
A student spends 2 hours each day at swim practice and three and one-half hours each day studying.
Which equation can be used to determine t, the total number of hours the student spends at swim practice and studying during d days?
t = 2d + 3.5
t = d ( 2 + 3.5)
t = d + 5.5
t = 2(d + 3.5 )
The correct option is B or,
t=d(2+3.5)
5.5 hours a day times however many days he or she decides to do so, equals the total number of hours :)
trigonometric identities
With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.
Then from the Pythagorean identity, it follows that
sin²(θ) + cos²(θ) = 1 ==> sin(θ) = -√(1 - cos²(θ))
and so
sin(θ) = -√(1 - (-8/13)²) = -√105/13
Recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169
Hi anyone know the answer to this? Ill give brainliest immediately!!!! ^^^^^^^^
Answer:
y=x+4
Step-by-step explanation:
HTH :)
Answer:
y = x +4
Step-by-step explanation:
You know the y intecept because its on the y axis, and slop is rise over run
Find the sum of interior angles of 13-sided polygon.
Answer:
N=13
Step-by-step explanation:
For a pentagon, it's (5-2)180=(3)180=540 degrees. So plug in n=13 to see the sum of the angle measures for a 13-sided polygon.
Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation:
Allison's math teacher asked her to write an irrational and rational number. She wrote the following numbers √46 Rational and 5.25 Irrational. Explain if you agree with Allison's identification of rational and irrational numbers.
If you disagree, provide an example of an irrational and rational number.
What is the solution of the system?
Answer:
The answer is B
Step-by-step explanation:
x is equal to the +3
where Y is equal to the +3
Answer:
(3,3)
Step-by-step explanation:
3+3=6
6-6=0
plsssssssssss help me
Answer: 40
Step-by-step explanation:
38+ 52=90
230-90=40
Suppose that in 1664, a man bought a diamond for $17. Suppose that the man had instead put the $17 in the bank at 3% interest compounded continuously. What would that $17 have been worth in 2005?
In 2005, the $17 would have been worth $ D. und until the final aneuver Than rei the nearest dallare needed
If the man had put $17 in the bank at 3% interest compounded continuously, then the formula for finding the final amount is A = Pe^(rt), Therefore, the $17 would have been worth $396.44 in 2005 if it was put in the bank at 3% interest compounded continuously.
where A is the final amount, P is the initial amount, e is the mathematical constant, r is the interest rate, and t is the time in years.
Using this formula, we can calculate the value of $17 after 341 years (2005-1664). Plugging in the values, we get:
A = 17e^(0.03*341)
A = $396.44
Therefore, the $17 would have been worth $396.44 in 2005 if it was put in the bank at 3% interest compounded continuously.
In 2005, the $17 investment in 1664 at a 3% interest rate compounded continuously would be worth $D. To calculate this, we can use the formula for continuous compounding:
A = P * e^(rt)
Where:
A = the future value of the investment
P = the principal amount ($17)
e = the base of the natural logarithm (approximately 2.718)
r = the annual interest rate (0.03)
t = the number of years (2005 - 1664 = 341 years)
A = 17 * e^(0.03 * 341)
A ≈ 17 * e^10.23
A ≈ 17 * 27769.3
After rounding to the nearest dollar, the value of the investment in 2005 would be approximately $472,178.
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Find the value of x. *
Please help
Answer:
x = 78
Step-by-step explanation:
(x-8) + 20 = 90
x - 8 = 90 - 20
x - 8 = 70
x = 70 + 8
x = 78
Check:
(78-8) + 20 = 90
70 + 20 = 90
A woman deposits $10,000 at the end of each year for 12 years in an account paying 7% interest compounded annually. (a) Find the final amount she will have on deposit (b) Her brother-in-law works in a bank that pays 6% compounded annually. If she deposits money in this bank instead of the other one, how much will she have i her account? (c) How much would she lose over 12 years by using her brother-in-law's bank? (a) She will have a total of son deposit. (Simplify your answer Round to the nearest cent as needed) mo A 47-year-old man puts $2000 in a retirement account at the end of each quarter until he reaches the age of 61, then makes no further deposits. If the account pays 5% interest compounded quarterly, how much will be in the account when the man retires at age 667 There will be is the account. (Round to the nearest cent as needed) CODE
a) The woman will have approximately $21,938.23 on deposit after 12 years.
b) She would have approximately $20,625.15 in her account if she deposits money in her brother-in-law's bank.
c) She would lose approximately $1,313.08 over 12 years by using her brother-in-law's bank.
(a) To find the final amount the woman will have on deposit, we can use the formula for compound interest:
\(A = P * (1 + r/n)^{(n*t)\)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, the woman deposits $10,000 at the end of each year for 12 years, the interest rate is 7%, and it is compounded annually. Let's calculate the final amount:
P = $10,000
r = 7% = 0.07
n = 1 (compounded annually)
t = 12 years
A = $10,000 * (1 + 0.07/1)^(1*12)
A = $10,000 * (1.07)^12
A ≈ $21,938.23
So, the woman will have approximately $21,938.23 on deposit after 12 years.
(b) If the woman deposits money in her brother-in-law's bank that pays 6% interest compounded annually, we can calculate the final amount using the same formula:
P = $10,000
r = 6% = 0.06
n = 1 (compounded annually)
t = 12 years
A = $10,000 * (1 + 0.06/1)^(1*12)
A = $10,000 * (1.06)^12
A ≈ $20,625.15
So, she would have approximately $20,625.15 in her account if she deposits money in her brother-in-law's bank.
(c) To calculate how much she would lose over 12 years by using her brother-in-law's bank instead of the original bank, we can subtract the final amount in her brother-in-law's bank from the final amount in the original bank:
Loss = Final amount in original bank - Final amount in brother-in-law's bank
Loss = $21,938.23 - $20,625.15
Loss ≈ $1,313.08
Therefore, she would lose approximately $1,313.08 over 12 years by using her brother-in-law's bank.
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A third-grade teacher is introducing the concept of multiplication using manipulatives, pictures, and arrays. Last year several parents asked why their child wasn't learning to multiply the same way that they did. What should the teacher do in order to address potential questions this year
Answer:
The 3rd-grade teacher should say that the school systems and ways of teaching get updated each year.
Step-by-step explanation:
Children's parent's schools would have probably taught different techniques and ways of learning a topic. As years go by, more efficient ways of learning that topic are presented and selected.
If the parent would like the child to learn that way, they may teach them at home, but the school has decided on a system for at-school learning that seems to have worked the best.
Hopefully, that should answer the parent's questions!
For the expression 34- 34a to have a negative value, what must be true about the value of a ?
Answer:
a>0
Step-by-step explanation:
if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0
pls answer quickly before 3:30
I NEED HELP ON THIS ASAP!!!!
Simplify.
3(x + 4) plzzz answer
Answer:
3x+12
Step-by-step explanation:
When we multipy 3 with (x+4) it becomes 3x+12
Answer:
3x+12
Step-by-step explanation:
3(x+4)
3*x=3.....keep the x with 3 because x just represents 1
3*4=12
so your answer should be
3x+12
hope this helps :)
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
Kathy can compare the two measurement because 10 millimeters equals 1 centimeter
This means
10 millimeters of her finger = 1 centimeter of the same finger
100 millimeters of her finger = 10 centimeters of her finger
1000 millimeters of her finger = 100 centimeters of her finger
Therefore, Kathy can compare both measurement ( millimeters and centimeters).
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
Find the product of ^
Answer:
D
Step-by-step explanation:
A datagram with the destination ip address 158.30.142.30 would be routed to port ___ .
A datagram with the destination IP address 158.30.142.30 would be routed to port 10011110 00011110 10001110 00011110.
What is an IP address explain?
Any device on a network can be identified by its IP address, which stands for Internet Protocol. IP addresses are used by computers to connect with one another on different networks and the internet.Can I change my IP address?
Computers can send and receive data thanks to an internet protocol (IP) address. IP addresses come in four varieties: private, public, static, and dynamic.What is IP address in WIFI?
Launch the app if you have Wi fi Analyzer installed on your Android phone. The tab for the channel graph will appear right away. The IP address of your router will appear when you swipe to the Access Points tab.Learn more about IP address
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27 people were on a coach.
There were 24 people at the next coach stop.
1/3 of these people got on the coach.
What is 1/3 of 24?
Step-by-step explanation:
are you serious ?
1/3 of 24 means dividing 24 by 3,
means 24×1/3 = 24/3 = 8