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sergejj [24]
2 years ago
11

The area of a triangular region is 3,136 sq . cm. if the perpendicular from one vertex to the opposite side is 64 cm, find the l

ength of its base​
Mathematics
1 answer:
eimsori [14]2 years ago
7 0

area=3136sq.cm

height=perpendicular=64 cm

base=?

area=1/2*base*height

3136=1/2*base*64

therefore,, base=98

Please can you give me brainliest

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For this problem, assume Gwen and Harry have 5 types of cones and 9 flavors of ice cream.
ohaa [14]

Answer: Hello!

In this problem you can chose 3 options:

the type of cone, the first flavour, and the second flavour.

a) In how many different ways can your order one cone and two scoops of ice cream?

You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:

5*9*9 = 405 combinations

b) Here we cant order the same flavour of ice cream, then:

we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:

5*9*8 = 360 combinations.

6 0
3 years ago
4. Dean Pelton wants to perform calculations to impress the accreditation consultants, but upon asking for information about GPA
Leya [2.2K]

Answer:

the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

SO, \bar x can now be the sample mean of number of students  in GPA's

To obtain n such that P( \bar x \leq 2.3 ) \leq .04

⇒ P( \bar x \geq 2.3 ) \geq .96

However ;

E(x) = \int\limits^4_2 Dx (2+e^{-x} ) 4x = D  \\ \\ = D(e^{-x} (e^xx^2 - x-1 ) ) ^D_2 = 12.314 D

E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D

Similarly;

D\int\limits^4_2(2+ e^{-x}) dx = 1

⇒ D*(2x-e^{-x} ) |^4_2 = 1

⇒ D*4.117 = 1

⇒ D= \dfrac{1}{4.117}

\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103

∴  Var (x)  = E(x^2) - E^2(x) \\ \\  = .3348711

Now; P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega  \geq .691013)  \ \ \ \  \ \ \ \ \ \ (x = E(\bar x ) - \mu)

Using Chebysher one sided inequality ; we have:

P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}

So; (\omega = \bar x - \mu)

⇒ E(\omega ) = 0 \\ \\ Var (\omega ) = \dfrac{Var (x_i)}{n}

∴ P(\omega \geq .691013) \geq \dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2}

To determine n; such that ;

\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}

⇒ n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}

n \geq 16.83125

Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

5 0
2 years ago
In the diagram below of triangle ABC, the medians meet at point G. If CF = 39, what is the length of CG?
LenKa [72]

Applying the centroid theorem of a triangle, the length of CG is: 26.

<em><u>Recall:</u></em>

  • Medians join the vertices to the midpoint of the opposite sides of a triangle.
  • The center that all the three medians intersect at is called the centroid.
  • Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.

Triangle ABC is shown in the image attached below. G is the centroid.

CF = 39 (median)

CG = 2/3(CF) ---> Centroid Theorem.

  • Substitute

CG = 2/3(39)

CG = 26

Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.

Learn more about centroid theorem on:

brainly.com/question/20627009

5 0
2 years ago
HELP<br><br> I’ll give brainliest to who ever answers today rn the first one plz and ty
Kisachek [45]

Answer:

A

Step-by-step explanation:

Use the range

5 0
3 years ago
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What is the value of -5 to the 4th power? <br><br> A) 20<br> B) 625<br> C) 125<br> D) -625
Yanka [14]

Answer:

B) 625

Step-by-step explanation:

(-5)^4

-5*-5*-5*-5

25*25

625

3 0
3 years ago
Read 2 more answers
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