Answer:
530.93 units squared
Explanation:
The formula for the area of a circle is pi*r^2. The radius is half the diameter. So, 26/2 = 13.
pi*13^2 = ?
pi*169 = 530.93
The area is 530.93 units squared.
A teacher tells her students that a large jar of marbles contains 55% red marbles. students randomly select a sample of 40 marbles and determined the proportion of red marbles. one sample a student selected contained 16 red marbles. assuming the teacher’s claim is true, 100 simulated proportions are displayed in the dotplot. using the dotplot and sample proportion, is there convincing evidence that the teacher’s claim is false? yes, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. yes, because a proportion of 0.40 or less occurred only 2 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or less occurred 2 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false.
There is convincing evidence that the teacher's claim is false because:
"a proportion of 0.45 or more occurred 87 out of 100 times" (Option A).
Why is the Teacher's Claim False?
The teacher's claim is false because a percentage of 0.45 or more occurred 87 out of 100 times.
What this says is that the sample of red marbles is statistically significant.
Therefore, the teacher's claim that the large jar of marbles contains 55% red marble is false.
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Answer:
b
Explanation:
b
A rectangular tank that is with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.
The dimensions of the tank with minimum weight are; 26 ft by 26 ft by 13 ft.
How to minimize functions?For minimum weight, it means that the surface area must be minimum.
Let the height be h and the lengths be x
Thus, the volume is;
x²h = 8788
Thus;
h = 8788/x²
Surface Area is;
A = x² + 4xh
A = x² + 35142/x
dA/dx = 2x - 35152/x²
When dA/dx = 0, we have;
2x - 35152/x² = 0
2x =35152/x²
Thus;
2x³ = 35152
x³ = 17576
x = 26 ft
Thus;
h = 8788/x²
h = 8788/26²
h = 13 ft
Thus, the dimensions are 26 ft by 26 ft by 13 ft.
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In the activity, when na lost an e- it shrank and the cl+ grew in size. does that say anything about the location of the electron before and after it was transferred?
Since the electron that is lost is on the valence shell of sodium, the size of sodium will shrink while the size of chlorine will increase.
Ionic bondingIonic bonding is said to occur when a metal looses an electron to a nonmetal. The resulting compound is actually an ion pair.
For the formation of sodium chloride, a sodium atom looses an electron which is present on its valence shell while chlorine accepts this electrons into its valence shell as a result, the size of sodium will shrink while the size of chlorine will increase.
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Saul paid off a loan with a simple interest rate of 4.7% in 9 months. what was the apr?
The annual percentage rate (APR) for Saul loan who paid off a loan with a simple interest rate of 4.7% in 9 months is 6.3%.
What is equivalent ratio?Equivalent ratio is the ratio which is same in the value as the original ratio but the numerator and denominator is different for both the ratios.
Saul paid off a loan with a simple interest rate of 4.7% in 9 months. Here, the rate of interest is 4.7%. The time period is 9 months. Thus, the ratio for rate to month is,
[tex]r=\dfrac{4.7}{9}[/tex]
Let the annual percentage rate (APR) is x%. Thus, the rate in 12 months is,
[tex]\text{12 months - x\%}[/tex]
[tex]r=\dfrac{x}{12}[/tex]
Comparing both the ratios,
[tex]\dfrac{x}{12}=\dfrac{4.7}{9}\\x=\dfrac{4.7}{9}\times 12\\x\approx 6.3\%[/tex]
Hence, the annual percentage rate (APR) for Saul loan who paid off a loan with a simple interest rate of 4.7% in 9 months is 6.3%.
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Oraciones complete the sentences with the correct form of the appropriate verb from the list. one verb is used more than once.
There are different kinds of verbs. The correct form of the verbs is Mis amigos salen conmigo al centro.
What are Spanish verbs?Spanish verbs are known to be a kind of verbs that often create one or more complex aspect of Spanish grammar. its example is Haber whih means to have in English.
In the above, salen is the best form of verb for the sentence "Mis amigos salen conmigo al centro"as it tells the action at that point.
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What statement best describes what happens to light as it passes through water into a piece of glass?
The statement which best describes what happens to light is that its speed decreases, its wavelength becomes shorter and its frequency remains the same.
What is light?Light refers to a form of electromagnetic waves that doesn't require any medium for its propagation.
According to the model of light wave, light experiences refraction when it passes through water into a piece of glass and this causes its speed to decrease, its wavelength to become shorter but its frequency would remain the same.
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Are plants that produce seeds and flowers. brainly
Answer:
ofcourse
plant produce seeds and flowers
Answer:
NO
Explanation:
ALL PLANT produce seeds and flowers.only green plant prepare their food and produce seed and flower
Let f(x)=x2+6x+11. what is the minimum value of the function?
Answer:
13/1
Explanation:
Unit 11 volume & surface area homework 5 surface area of prisms & cylinders
The volume of the prism is the amount of space on the prism
The volume of the cylinder is 760 cubic units
How to determine the volume?The question is incomplete.
So, we make use of the following parameters
Shape = CylinderRadius, r = 11Height, h = 2.The volume of a cylinder is calculated using:
V = πr²h
Substitute known values in the above formula
V = 3.14 * 11² * 2
Evaluate the product
V = 759.88
Approximate
V = 760
Using the assumed values, the volume of the cylinder is 760 cubic units
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Ruby's dog has 8 puppies. the puppies include white females
The probability of choosing a puppy that is female and white from the given sample we have is; 25%
How to solve conditional probability?The question asks for the probability that Ruby will randomly choose a puppy that is female and white. This is not mutually exclusive events or joint.
White female = 8 - (3 + 1 + 2)
White Female = 2 puppies
Mixed colored females = 3
White male = 1
Mixed colored male = 2
Total number of puppies = 8
Thus, the probability of choosing a puppy that is female and white is;
P(choosing a female puppy) = 2/8 = 1/4 = 25%
Complete question is;
Rubys dog has 8 puppies. the puppies include white females, 3 mixed color females, 1 white male, and 2 mixed color males. ruby wants to keep one puppy.what is the probability that she randomly chooses a puppy that is female and white
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What is the denominator of the simplified expression? 2 n
The expression [tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex] is a product expression
The denominator of the simplified fraction is 3n -2
How to determine the denominator?The expression is given as;
[tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex]
Divide the first fraction by 2/2
[tex]\frac{n}{3n + 2} * \frac{3n + 2}{3n - 2}\\[/tex]
Evaluate the above product
[tex]\frac{n}{3n - 2}[/tex]
The above fraction is a simplified fraction of [tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex], and the denominator is 3n - 2
Hence, the denominator of the simplified fraction is 3n -2
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