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zloy xaker [14]
2 years ago
10

The radius is longer than a chord that doesn't pass through the centre.

Mathematics
1 answer:
BigorU [14]2 years ago
3 0

Step-by-step explanation:

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Questions & Answers

CBSE

Mathematics

Grade 10

Circles

Question

Answers

Related Questions

State true or false.

The longest of all chords of a circle is called a diameter.

a) True

b) False

Answer

VerifiedVerified

115.8k+ views

14.5k+ likes

Hint: Here we will find the longest chord of the circle i.e, the line segment whose length is maximum when joined from one point on the circumference of the circle to the other on the circumference.

Complete step-by-step answer:

We know that a chord is a line segment which joins two points on the circumference of a circle.

Also, the longest chord of the circle passes through its center.

Now since the diameter of the circle passes through its center

Hence diameter is the longest chord of the circle.

AB is the diameter of the circle with center as O shown in the figure.

Therefore the given statement “The longest of all chords of a circle is called a diameter.” is true.

So, the correct answer is “Option A”.

Additional Information: Circle is the locus of all points which are at equal distance from a fixed point called the center of the circle. The distance between the center and each of the points is called radius of the circle.

Also, on joining all the adjacent points together we get the circumference of the circle.

Now the distance between any two points on the opposite side of the circumference is called the chord of the circle and the chord passing through the center is called its diameter.

Hence diameter is equal to twice the distance between center and the point on circumference.

Therefore, diameter is twice the radius of the radius.

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Note: Students should note that the diameter D of the circle is equal to twice its radius R.

D=2R

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Least to greatest -20 7/20,7/28,20,20.75
horsena [70]

Answer:

-20 7/20, 7/28, 20, 20.75  

Step-by-step explanation:

7 0
3 years ago
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Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o
kvv77 [185]
The left-handed students
12% are left handed, percent means per hundred. Change percent into per 100.
12% = \dfrac{12}{100}

Then simplify the fraction by dividing the numerator and denominator by 4
\dfrac{12}{100}
= \dfrac{12:4}{100:4}
= \dfrac{3}{25}
This is the fraction showing the proportion of the left-handed students

The right-handed students
Determine the fraction showing the proportion of the right-handed students
1 - the left-handed
= 1 - \dfrac{3}{25}

Equalize the denominator to 25
\dfrac{25}{25} - \dfrac{3}{25}

Simplify
\dfrac{21}{25}
This is the proportion of the right-handed students

<span>Are there more right-handed or left-handed students?
There are more right-handed students than the left-handed students, because 21/25 is more than 3/25</span>
4 0
3 years ago
Which type of interest is earned on both the principal plus any previous interest earned?
NemiM [27]

Answer:

compound interest

Step-by-step explanation:

The interest charged on the principal for the entire loan term is known as Simple Interest. The interest computed on both principal and the previously earned interest is known as Compound Interest. Compound Interest gives a high return as compared to Simple Interest.

6 0
3 years ago
According to statistician Persi Diaconis, the probability of a penny landing heads when it is spun on its edge is only about 0.2
Arlecino [84]

Answer:

a) The p-value obtained from the one-proportion applet is more valid because a z-test statistic shouldn't have been used for the other obtained p-value. Check Explanation for more Explanation.

b) No, there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Step-by-step explanation:

The p-value for this problem was obtained from a one proportion simulation applet and another obtained using a one proportion z-test p-value.

But one of the conditions for the use of the z-test or the z-distribution in obtaining the p-value is that information on the population mean and standard deviation should be known or the sample size should be large enough such that the properties of the sample should approximate the properties of the the population distribution.

But for this question and hypothesis test, the sample that the we are working with is only of sample size 12 with no information on the population standard deviation provided, hence, the p-value obtained from the z-test statistic one proportion test is not a valid enough one due to this reason.

Plus, on calculating this p-value manually, it was obtained to be 0.078, to justify this explanation as it is very close to.the value obtained using the simulation applet.

Manual way of calculating

t = (x - μ)/σₓ

x = 5/12 = 0.41667

μ = p₀ = 0.20

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 12

σₓ = √[0.4167×0.5833/12] = 0.1423

t = (0.4167 - 0.20) ÷ 0.1423

t = 1.52

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 12 - 1 = 11

Significance level = 0.05 (This is used when no significance level is provided in the question)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 1.52, at 0.05 significance level, df = 11, with a one tailed condition) = 0.07836

b) To know which conclusion to draw, we need to first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

And the alternative hypothesis is that there is enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Mathematically, if p is the proportion of times the spun penny will turn up heads in the long run,

The null hypothesis is represented as

H₀: p ≤ 0.20

The alternative hypothesis is represented as

Hₐ: p > 0.20

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05 (usually used when the significance level for the test isn't specified)

p-value = 0.0770

0.0770 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Hope this Helps!!!

6 0
3 years ago
9 + 1 x 2<br><br> Help me with this pls
Kitty [74]

Answer:

The awnser is eleven hope this helps a bit

3 0
2 years ago
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