Step-by-step explanation:
Volume of Sphere
= 4/3πr³
= (4/3)(3.14)(60/2)³
= 113,040ft³.
The diameter of the sphere is 60 ft
Solution:-Volume of sphere = 4/3πr³
= (4/3)(3.14)(60/2)³
= 113,040ft³
Answer:-The volume of the given sphere is 113,040ft³
What is geometry in mathematics ?
Answer:
Geometry in Mathematics is the study of shape and figures.
Answer:
Geometry refers to a branch of mathematics which is focused on the measurement and relationship of lines, angles, surfaces, solids and points. For instance, the calculation of a triangle's angles is an example of geometry.
The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?
Answer:
4922 more
Step-by-step explanation:
15,498-10,576=4922
Bag lunch. Phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. She takes a simple random sample of 104 seniors and finds that 78 of them bring a bag lunch. A simple random sample of 80 sophomores reveals that 52 of them bring a bag lunch. Do these data give convincing evidence to support Phoebe's hunch? Use a = 0.05. a. Is there one or two populations in this problem? b. Is this a problem about quantitative data or qualitative (categorical) data? C. Will you use the t stats or proportion stats option in StatCrunch to complete this problem? d. State the null and alternative hypotheses using the correct statistical symbols. e. State the test statistic. f. State the P-value. g. In a complete sentence, indicate the strength of this P-value and give a conclusion using the context of the problem that you are testing. I should be able to read your conclusion and tell that you were testing about whether older students are more likely to bring a bag lunch than younger students. h. Construct a 95% confidence interval to estimate the difference in the proportions of seniors and sophomores who bring a bag lunch to school.
a. Two populations.
b. Qualitative (categorical) data.
c. Proportion stats.
d. Null hypothesis: p1 = p2 (The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch). Alternative hypothesis: p1 > p2 (The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch).
e. Z-test for two proportions.
f. P-value.
g. A small P-value provides convincing evidence to support Phoebe's hunch that older students are more likely to bring a bag lunch than younger students.
h. 95% confidence interval to estimate the difference in proportions.
What is hypothesis?
A hypothesis is a proposed explanation or assumption that is tested through research and data analysis. It is a statement that suggests a relationship or difference between variables or phenomena and serves as a basis for scientific investigation.
a. There are two populations in this problem: the population of seniors and the population of sophomores.
b. This is a problem about qualitative (categorical) data since we are examining whether students bring a bag lunch or not.
c. We will use the proportion stats option in StatCrunch to complete this problem.
d. Null hypothesis (H0): The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch.
Alternative hypothesis (Ha): The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch.
e. The test statistic is the z-test for two proportions.
f. The P-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.
g. The strength of the P-value determines the level of evidence against the null hypothesis. If the P-value is small (below the significance level), it provides strong evidence against the null hypothesis. In this case, a P-value less than 0.05 (assuming significance level α = 0.05) would suggest convincing evidence to support Phoebe's hunch.
h. To construct a 95% confidence interval to estimate the difference in proportions, we use the formula:
Confidence interval = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))
where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and z is the critical value corresponding to the desired confidence level (in this case, z value for a 95% confidence level).
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a) A circular channel section has diameter of 6m and it is running half. Calculate the discharge through the channel if the bed slope is 1 in 600 and manning’s co efficient is equal to 0.014.
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:
Q = (1/n) * A * R^(2/3) * S^(1/2)
where:
Q is the discharge (flow rate)
n is Manning's coefficient (0.014 in this case)
A is the cross-sectional area of the channel
R is the hydraulic radius of the channel
S is the slope of the channel bed
First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:
A = π * r^2 = π * (3m)^2 = 9π m^2
Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:
R = r = 3m
Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:
S = 1/600
Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):
Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)
Using a calculator, the discharge can be evaluated to get the final result.
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You have two pieces of rope. One piece is of rope is 98 feet and the other is 56 feet. You need to cut the rope into equal lengths with non left over. What is the greatest possible lenth you can cut the rope so all peices will be the same
Answer:
14 feet
Step-by-step explanation:
We solve the above question by using the Greatest Common Factor method
We find the factors of 56 and 98
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet
€1 = £0.85. Change €345 into £.
£293.25
Step-by-step explanation:If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.
Which
graph shows a system of equations with a solution at (2, -1)?
Answer:
THE one with the u shape going up, and the the red line in the tilting to the left.
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
Can u pls help me thank you :)
You have to tell me what times what times what equals 6.6
a number is tripled, and 2.5 is added. the result is 83.5
Answer:
27
Step-by-step explanation:
You would go 83.5 - 2.5 to get 81
divide 81 by three to get 27
Step-by-step explanation:
dldldldlxdpdlddldldldldl 85
Explain Statistical Process control in 400 to 500 words.
Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.
Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.
The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.
Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.
The key components of SPC include:
1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.
Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.
2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.
These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.
3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.
By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.
4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.
Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.
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its the question that starts with linearlize
Linearize the function \( x^{2}+\sin (x) \) for \( x \) near \( 1.1 \) radians.
The linearized form of the function \(\(x^{2}+\sin(x)\)\) for x near 1.1 radians is \(\(f(x)\approx1.31002+2.45360(x-1.1)\)\)
The function \(\(x^{2}+\sin(x)\)\) needs to be linearized for x near 1.1 radians.
To linearize the given function, follow the steps below:
Step 1: Find the first derivative of the given function which is
\(\(f(x)=x^{2}+\sin(x) \) \(\frac{d}{dx}f(x)=2x+\cos(x)\)\)
Step 2: Compute the value of the function at
\(\(x=1.1\)\(f(1.1)=(1.1)^{2}+\sin(1.1) \)\(f(1.1)\approx1.31002\)\)
Step 3: Compute the value of the first derivative at
\(\(x=1.1\)\(\frac{d}{dx}f(x)=2x+\cos(x)\)\(\frac{d}{dx}f(1.1)=2(1.1)+\cos(1.1) \)\(\frac{d}{dx}f(1.1)\approx 2.45360\)\)
Step 4: Substitute the values obtained in Steps 2 and 3 into the linearization formula,
\(\(f(x)\approx f(a)+f'(a)(x-a) \)where \(a=1.1\) and \(x\) is near \(1.1\).\)
Substituting the values,
\(\(f(1.1)\approx 1.31002\) and \(\frac{d}{dx}f(1.1)\approx 2.45360\)\)
we get,
\(\(f(x)\approx1.31002+2.45360(x-1.1)\)\)
This is the linearized form of the function \(\(x^{2}+\sin(x)\)\) for x near 1.1 radians.
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a biologist studying trees constructed the confidence interval (0.14,0.20) to estimate the proportion of trees in a large forest that are dead but still standing. using the same confidence level, the interval was later revised because the sample proportion had been miscalculated. the correct sample proportion was 0.27 . which of the following statements about the revised interval based on the correct sample proportion is true?
The true proportion of dead but still standing trees in a large forest is estimated by the confidence interval (0.14,0.20) with a certain confidence level. Later, the sample proportion was revised from the incorrect value to the correct value of 0.27.
The question is asking which statement is true regarding the revised interval based on the correct sample proportion.
The correct revised interval based on the new sample proportion cannot be determined from the information given. In order to calculate a new confidence interval based on the correct sample proportion, we would need to know the sample size or the margin of error of the original interval. Without this information, we cannot determine the new interval with any certainty. However, we can say that the new interval will be different from the original interval because the sample proportion has changed.
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help me please iam stuck
Answer:
step bro im stuck
Step-by-step explanation:
34 is a rational number
A(-8,-5) what is B(-3,-12) what is the length of AB
Answer:
(5,7)
Step-by-step explanation:
Solve the two-step equation and identify the steps. 94 points
2 = − 7
4
+ 1
4
x
1.
Subtract
StartFraction 7 over 4 EndFraction to both sides.
2.
by 4.
The solution is x =
.
Answer:
Step-by-step explanation:
Can you like put the equation together it looks highly confusing
The solution for the given equation is 15.
The given equation is 2 = -7/4 + 1/4 x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 2 = (-7+x)/4
2×4 = -7+x
8 = -7+x
x = 8+7
x = 15
Therefore, the solution for the given equation is 15.
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Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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which graph of ordered pais shows a proportional relationship? i need help lol
Write an expression that contains four terms and simplifies to 3y + 5.
Answer:2y+y-4+9
Step-by-step explanation:
2y+y-4+9
You want to coat your 20 ft x 25 ft driveway with a 0.500-inch thick layer of gold. Given that the market value of gold is 1197 dollar/ounce and that the density of gold is 19.3 g/cm3, what will be the cost of the gold required for this project? (1 ounce = 28.35 g
The cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.
Since the density of gold is given in grams per cubic centimeter (g/cm³), the thickness of the layer should be converted to centimeters as well.1 inch = 2.54 cm
So, 0.500 inch = 0.500 x 2.54 cm = 1.27 cm
Therefore, the volume of gold required is:
Volume = area x thickness= 500 x 1.27= 635 cm³
Now, the mass of gold required can be calculated as:mass = density x volume= 19.3 x 635= 12260.5 g
Since 1 ounce = 28.35 g, the mass can be converted to ounces as follows:
mass in ounces = mass in grams / 28.35= 12260.5 / 28.35= 433.17 ounces
Finally, the cost of the gold can be calculated by multiplying the mass in ounces by the market value per ounce.
The market value is given as 1197 dollar/ounce. Therefore, the cost can be calculated as:
Cost = mass in ounces x market value= 433.17 x 1197= 518034.49 dollars
Therefore, the cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.
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what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?
The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line
The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249
percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%
So, percentage is unexplained = (100 - 92.49)%
= 7.51%
Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .
Hence the variation in X and the least-squares line is 7.51%
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Help me please! I’m struggling
Answer:
x3+y3+z3=k, with k being all the numbers from one to 100
Step-by-step explanation:
your welcome, hmm i think your brain cells might have been disrupted because of all that tikt.
Define a transformation h of a function f by h(x)= cos(x- rad/2).
Is h an odd function, am even function, or neither.
The number of kilograms of water in a human body varies directly as the mass of the body. A 96-kg person contains 64 kg of water how many kilograms of water are in a 66-kg person?
ANSWER:
44 kg
STEP-BY-STEP EXPLANATION:
Since they vary directly, we can calculate the amount of water by means of the following proportion:
\(\begin{gathered} \frac{64}{96}=\frac{x}{66} \\ \text{ we solve for x} \\ x=66\cdot\frac{64}{96} \\ x=44\text{ }kg\text{ of waer} \end{gathered}\)So that's 44 kilograms of water in a 66-kilogram person.
Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6
can the maximum value for a quadratic function be negative?
can the minimum value for a quadratic function be positive? justify your answer
The quadratic equation has a negative value that is a maximum if vertex constant is negative but vertex y-coordinate is negative, while it has a positive value that is a minimum if vertex constant is positive by vertex y-coordinate is positive.
How to understand absolute extremes in quadratic functions
Graphically speaking, quadratic functions are parabolae and their absolute extremes are called vertices. There are three ways to describe quadratic functions:
Standard form
y = a · x² + b · x + c
Factor form
y = a · (x - r₁) · (x - r₂)
Vertex form
y - k = C · (x - h)²
Where:
a - Lead coeffcientb, c - Other coefficients.r₁, r₂ - RootsC - Vertex constanth, k - Vertex coordinates.Vertex form offers us a quick possibility to answer this question, from its understanding we get the following conclusions:
Maximum value can be a maximum and negative if C < 0 and k < 0.Minimum value can be a minimum and positive if C > 0 and k > 0.To learn more on parabolae: https://brainly.com/question/21685473
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How many minutes would he take to run 4 miles?
Answer: 30 miles
Step-by-step explanation:
45/6 = 7.5 miles per minute
7.5 x 4 = 30 miles per minute
Each individual result of a probability experiment is called a(n) a. complement b. event s
c. ample space
d. outcome
Each individual result of a probability experiment is called an "outcome" (d).
An outcome refers to a specific result or occurrence that can happen when conducting a probability experiment. It represents the different possibilities or potential results of an experiment.
For example, when flipping a fair coin, the possible outcomes are "heads" or "tails." In this case, "heads" and "tails" are the two distinct outcomes of the experiment.
Similarly, when rolling a fair six-sided die, the possible outcomes are the numbers 1, 2, 3, 4, 5, or 6. Each number represents a different outcome that can occur when rolling the die.
In summary, an outcome is a specific result or occurrence that can happen during a probability experiment. It is essential to understand outcomes as they form the basis for calculating probabilities and analyzing the likelihood of different events occurring.
Thus, each individual result of a probability experiment is called an "outcome" (d).
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The word OLYMPIADS is reflected across a horizontal line. How many of the nine letters would look the same after the reflection?
5,
O, Y, M, I and A would look the same in a reflection as they are symmetrical
find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
Answer:
(0,-1)
Step-by-step explanation: