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Zolol [24]
3 years ago
5

5. Circle A has a radius of 9 units . Point R lies 5 units away from A. A chord drawn through R is partitioned by the diameter o

f A passing through R into two segments, one of which has a length of 7 units. Is the length of the other segment longer or shorter than 7 units ? Justify your answer.

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

The length of the other segment is longer than 7 units

Step-by-step explanation:

we know that

The<em> i</em><u><em>ntersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal

see the attached figure to better understand the problem

Remember that the diameter of the circle is two times the radius

D=2(9)=18\ units

Let

x ----> the length of the other segment

so

(9+5)(4)=(7)(x)

56=7x\\x=8\ units

therefore

The length of the other segment is longer than 7 units

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There are 4 blue, 6 green, 4 yellow, and 10 black marbles in a a bag . If one marble is picked at random, what is the probabilit
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The probability is 18/24


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7 0
3 years ago
Please solve for me it's urgent. A rectangle has 10 and 6cm each. find the area of a square with the same perimeter as that of t
elena55 [62]

Answer:

64 cm²

Step-by-step explanation:

Firstly,let us lay down the clues;

So, we have been given the Length and Width of the rectangle.

Rectangle;

<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>

<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>

We know that

Perimeter= 2L + 2W

Perimeter= 10+10+6+6

Perimeter =32 cm

In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.

So,

Perimeter of square =32 cm

Length of one side of the square =32÷4

=8 cm

Area= L × W

Area= 8 cm× 8 cm

Area= 64 cm²

Hope it helps.

5 0
3 years ago
Can someone help me please? I forgot how to do this
tensa zangetsu [6.8K]

Answer:

90°-33°=57°

57=2x+1

-1. -1

56=2x divide both sides by 2

28=x

x =28

8 0
3 years ago
Read 2 more answers
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4 0
3 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

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!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
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