The 95% two-sided confidence interval for the mean compressive strength is approximately (2683.907 psi, 3816.093 psi).
Given that the compressive strength is normally distributed with a standard deviation (σ) of 1000 psi, and we have a sample mean (x) of 3250 psi, we can construct a confidence interval using the following formula:
Confidence Interval = x ± (Z * σ / √n)
Where:
x is the sample mean (3250 psi)
Z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-value of approximately 1.96)
σ is the standard deviation of the population (1000 psi)
n is the sample size (12 specimens)
√n is the square root of the sample size (approximately 3.464)
Plugging in the values into the formula, we can calculate the confidence interval:
Confidence Interval = 3250 ± (1.96 * 1000 / 3.464)
Simplifying the equation gives us:
Confidence Interval = 3250 ± 566.093 = (2683.907 psi, 3816.093 psi).
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This table shows the number of minutes Carol and Anna walked each day for 5 days. Anna Carol Monday 45 60 Tuesday 35 30 Wednesday 60 20 Thursday 65 70 Friday 45 Which statement is true? A Carol's mean for the number of minutes she walked is equal to her median. Carol's mean for the number of minutes she walked is greater than Anna's B mean. C Anna's median for the number of minutes she walked is greater than her mean. Anna's mean for the number of minutes she walked is equal to Carol's mean.
A Carol's mean for the number of minutes she walked is equal to her median. Then the correct option is A.
The complete question is attached below.
What is a median?The median of the data is the middle value of the data, which is also known as the central tendency of the data and is known as the median.
The mean of Carol will be
⇒ (60 + 30 + 20 + 70 + 45) / 5
⇒ 225 / 5
⇒ 45
The mean of Anna will be
⇒ (35 + 45 + 60 + 65 + 30) / 5
⇒ 235 / 5
⇒ 47
The median of Carol will be 45.
The median of Anna will be 45.
Then the correct option is A.
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A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge.
16 ounces = 1 pound. 2,000 pounds = 1 ton.
If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?
8,000 ounces on the model is equal to
ounces on the actual bridge.
Convert ounces to pounds. The actual bridge can hold
pounds.
Therefore, the bridge
hold 1 ton.
Answer:
the bridge holds one ton. on Edgunuity
Step-by-step explanation: <3
Answer: first one is 32000 the second one is 2000 and the third one Is it will hold 1 ton
integrating essential skills
Answer:
G. 10 precent
Step-by-step explanation:
PLEASE-PLEASE-PLEASE HELP!!!
Answer:
the answer is C
Step-by-step explanation:
3/7 g=9 how do you do it?
The answer is g = 21
just multiply the fraction.
3 × 7 is 21.
A random sample of adults in a large us city responded to a series of questions about their use of public transportation. the results of the survey showed that 520 of the 838 adults in the sample (62%) have used public transportation in the past week. how might the results of the survey be biased in obtaining an estimate of all us residents who use public transportation
The results of the survey on public transportation use may be biased in several ways. First, the sample may not be representative of the entire population of the US residents who use public transportation. For example, the survey may have only included adults in a particular city or region, which may not reflect the transportation habits of people living in other parts of the country.
Another source of bias may be non-response bias, where people who did not respond to the survey have different public transportation habits than those who did. For example, people who are less likely to use public transportation may also be less likely to respond to the survey, which would skew the results towards a higher percentage of public transportation users.
There may also be biases in the survey design or administration that could impact the results. For instance, the questions may have been phrased in a way that encouraged respondents to overestimate their use of public transportation. Or, the survey may have been conducted during a time when there was increased or decreased public transportation use due to external factors, such as a holiday or major event.
Overall, it is important to interpret survey results with caution and consider potential sources of bias. Additional research and analysis may be needed to obtain a more accurate estimate of public transportation use among all US residents.
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Fine the average rate of change for f(x) on the interval [-1,3]
For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)
For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:
step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375
step 2 - (37.5)/4
step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)
I really need help!
What is 1/5x+1/2=2(4/5x+1)
The equation 2 w 2 − 18 w + 40 = 0 can be solved to determine w, the width in feet of a rectangular enclosure. Which value represents a possible width of the rectangular enclosure?
Answer:
w = 5
w = 4
Step-by-step explanation:
I think im right lol
Will give brainliest! :)) need asap
Answer:
D. -3 for every 1 to the right, in goes down 3.
E. 0, the graph could represent no change over time.
F.
assume the point on the graph is the origin, you can graph these
(2,-4)
(1,-2)
(0,0)
(-1,2)
(-2,4)
(-3,6)
Step-by-step explanation:
Locate the easternmost trade route, which runs from the southern tip of what is
now Florida north to the Wampanoag territory. How long, in miles, was this route?
Answer:
____________
is it 1700 miles ?
-4(10-a)/9=-4 what does a equal
a=1
Hope this helps
have a great day!
Step-by-step explanation:
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?
Answer:
I think it might be d because it is the only one with 4x and 10
9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?
Answer:
T=45m+23
Step-by-step explanation:
Answer:
T=45m+23
Step-by-step explanation:
anyone who is willing to answer the question in the image sent, i will give you brainiest!
Answer:
Triangles: 4(1/2)(12)(10) = 240 ft^2
Square: 10^2 = 100 ft^2
Total Surface Area: 340 ft^2
list of five number whose values are between 50.98 and 51.6
Answer:
50.99, 51.0, 51.01, 51.02
Step-by step explanation:
Which trigonometric ratios are correct for triangle def? select three options. Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) =.
Answer: sin(f) are correct trigonometric ratios for triangle DEF.
Step-by-step explanation: Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) = sin(f)
if gabby knows she wants to order a soft drink for $1.55, then what is the maximum amount of money she can spend on food to not exceed her $10.00 budget?
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer: 135
Step-by-step explanation:
it increased by 20%
so the 162 is 120% of the first price
so if we multiply 162 by 100/120 we will get the first price
100/120=5/6 and 5/6*162 is 135
maria is renting kayaks from a local shop that charges a 10$ fee plus an hourly rate of 7.50 for how long can maria rent the kayak if she only pays a total of 70$
Answer: Let Maria can rent the kayak for x hours. Thus, Maria can rent the kayak for 8 hours.
Step-by-step explanation:
identify the domain of the function shown in the graph.
A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0
Answer:
A, all real numbers
Step-by-step explanation:
The domain is the x value and the x value is the domain.
So when you take a look at the x values, it keeps going on and on
So when x values or y values keep going on forever we call that all real numbers
Hope this helps! Plz mark brainliest!
Due in 5 min !Order the Sides from GREATEST TO LEAST
XZ, YZ, XY
XY, YZ, XZ
YZ, XZ, XY
XY, XZ, YZ
YZ, XY, XZ
XZ, XY, YZ
Answer:
BC AC AB Longest to shortest.
Step-by-step explanation:
Solve for y
From the last question, 146 is the exterior angle.
That means that
5y + 3 + 4y+8 = 146
9y + 11 = 146 Subtract 11 from both sides
9y = 146 - 11 Combine the right
9y = 135 Divide by 9
y = 135/9
y = 15
Solve for x
x and 146 are supplementary.
x + 146 = 180 Subtract 146 from both sides
x = 180 - 146
x = 34
Solve For <A and <B
A
A = 5y + 3
A = 5*15 + 3
A = 75 + 3
A = 78
B
B = 4y + 8
B = 4*15 + 8
B = 68
========
The three angles are
A: 78
B: 68
X: 34
========
The side Opposite A is the longest because A is the biggest angle: BC
The side Opposite B is the second longest line: AC
The shortest line is AB
Conclusion
BC, AC, AB
Ira ran out of time while taking a multiple-choice test and plans to guess on the last 666 questions. Each question has 444 possible choices, one of which is correct. Let x=x=x, equals the number of answers ira correctly guesses in the last 666 questions. What is the probability that he answers fewer than 222 questions correctly in the last 666 questions?.
It is possible to calculate the probability that in the last 6 questions, there were fewer than 2 right answers, which is 53.392%.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
According to our question-
The likelihood that responses to fewer than two of the final six questions were right can be calculated using the procedure below:
There are 6 questions with a total of 4 possible answers, hence the value of p is:
The following formula provides the probability:
The following formula is used to calculate the likelihood that Ira would properly answer exactly 1 of the final 6 questions:
P(X = 1) = 0.35595
P(X = 0) = 0.17797 gives the likelihood that Ira will correctly answer 0 out of the final 6 questions.
Accordingly, the likelihood that the last 6 questions' answers contain fewer than 2 valid responses is: P = 0.17797 + 0.35595.
P = 0.53392
P = 53.392%
Hence, the probability that in the last 6 questions, there were fewer than 2 right answers, which is 53.392%.
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For each square there are 3 circles. Which model shows this relationship?
Answer:
B
Step-by-step explanation:
I think its B sorry if it‘s wrong
Use the order of operations to find the value of the expression.12÷2*3-(7-5)O A.0O B.6O C.16O D.19
Given:
given expression is
\(12\div2\ast3-(7-5)\)Find:
The main objective is to evaluate the expression.
Explanation:
we will use BoDMAS formula for evaluating the expression.
\(\begin{gathered} 12\div2\ast3-(7-5)=12\div2\ast3-2 \\ =6\ast3-2 \\ =18-2 \\ =16 \end{gathered}\)Conclusion:
Therefore, correct option is C.16
solve for x show all steps
A Bowl Contains:
3 Red Erasers
4 Blue Erasers
6 Green Erasers
7 Pink Erasers
An eraser will be drawn from the bowl and replaced 50 times. What is a reasonable prediction for the number of times a green eraser will be drawn
Answer:
15
Step-by-step explanation:
Twice the number of x is equal to 25
whats the answer (algebraic)
Answer:
x = 12.5
Step-by-step explanation:
The phrase "Twice the number of x" = 2x
2x = 25 ⇒ Divide both sides by 2
2x ÷ 2 = 25 ÷ 2
x = 12.5
-Chetan K
compute the equilibrating economic activity *y in terms of other variables. this is the dd schedule, if viewed as a function of e through q.
Economic equilibrium is a condition or state in which economic forces are balanced. In effect, economic variables remain unchanged from their equilibrium values in the absence of external influences.
Economic equilibrium is also referred to as market equilibrium. Economic equilibrium is the combination of economic variables (usually price and quantity) toward which normal economic processes, such as supply and demand, drive the economy. The term economic equilibrium can also be applied to any number of variables such as interest rates or aggregate consumption spending. The point of equilibrium represents a theoretical state of rest where all economic transactions that “should” occur, given the initial state of all relevant economic variables, have taken place.
In a competitive market, demand for and supply of a good or service determine the equilibrium price.
Equilibrium:MARKETS:
Equilibrium is achieved at the price at which quantities demanded and supplied are equal. We can represent a market in equilibrium in a graph by showing the combined price and quantity at which the supply and demand curves intersect.
For example, imagine that sellers of squirrel repellant are willing to sell 500 units of squirrel repellant at a price of $5 per can. If buyers are willing to buy 500units of squirrel repellent at that price, this market would be in equilibrium at the price of $5 and at the quantity of 500 cans.
Disequilibrium:Whenever markets experience imbalances—creating disequilibrium prices, surpluses, and shortages—market forces drive prices toward equilibrium.
A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus.
A shortage will exist at any price below equilibrium, which leads to the price of the good increasing.
For example, imagine the price of dragon repellent is currently $6 per can. People only want to buy 400 cans of dragon repellent, but the sellers are willing to sell 600 cans at that price. This creates a surplus because there are unsold units. Sellers will lower their prices to attract buyers for their unsold cans of dragon repellant.
Changes in equilibrium :Changes in the determinants of supply or demand result in a new equilibrium price and quantity. When there is a change in supply or demand, the old price will no longer be an equilibrium. Instead, there will be a shortage or surplus, and price will subsequently adjust until there is a new equilibrium.
For example, suppose there is a sudden invasion of aggressive unicorns. There will be more people who want to buy unicorn repellent at all possible prices, causing demand to increase. At the original price, there will be a shortage of unicorn repellant, signaling sellers to increase the price until the quantity supplied and quantity demanded are once again equal.
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