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3 years ago

The definition of a circle

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

Answer:

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

Explanation:

Oxford dictionary definition

Andrews [41]3 years ago

5 0

Step-by-step explanation:

a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center

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The above picture shows a series of similar shapes. Describe and quantify what transformation(s) occurred at each step. The orig

velikii [3]

Answer:

Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC. Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis

Brainlist Pls!

6 0

3 years ago

Evaluate the expression using the distributive property 8(7+7)

MrRissso [65]

Answer: 112

Step-by-step explanation:

Following PEMDAS, we need to add the numbers in the parenthesis first

8(7+7) becomes 8(14)

Now we just multiply 8 and 14

8(14) = 112

5 0

3 years ago

Read 2 more answers

According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

monitta

Answer:

a) $P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

b) $P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

c) We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

$X \sim Binom(n=50, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

Part b

We want this probability:

$P(36 \leq X \leq 38)$

We can find the individual probabilities:

$P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

Part c

We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

6 0

3 years ago

What would be the result of 100 plus 4% for 12 years

VashaNatasha [74]

Answer:

100.04

Step-by-step explanation:

8 0

3 years ago

Three people are running for president of a class. The results of a poll indicate that the first candidate has an estimated 37%

lianna [129]

Answer:

0.19

Step-by-step explanation:

The are three candidate running for president and we know that probability of winning for first candidate and the probability of winning for second candidate and we have to find the probability of winning for third candidate

P(C1)=0.37

P(C2)=0.44

P(C3)=?

We know that sum of probabilities is always 1. So,

P(C1)+P(C2)+P(C3)=1

0.37+0.44+P(C3)=1

P(C3)=1-0.37-0.44

P(C3)=0.19

Thus, the probability of winning for third candidate is 0.19.

7 0

3 years ago