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3 years ago

10

Yolanda's club has 35 members.It rules requires that 60% of them must be present to vote.At least how many members must be prese

nt to have a vote?

1 answer:

Neko [114]3 years ago

7 0

Answer:21 members

Step-by-step explanation:

35 *60% =35 *(60/100)

=21

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b) y= 5/x What happens to the value of y if the value of x triples? Select your answer. A. x2 B. x3 C. /2 D. /3

jeyben [28]

Answer:

D.)

Step-by-step explanation:

y = 5/x

so when the value of x triples, the new X becomes;

X = 3x

So,

Y = 5/ X

=> Y = 5/3x

=> Y = 1/3 . 5/x

=> Y = 1/3 . y

so the new value of y ( Y ) is 1/3 times original y.

Hence, D. is the answer

3 0

3 years ago

A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),

alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

First, the original vertices are:

L(3, 3)

M(2, 4)

N(-1, 0)

3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

L'(2, -5)

M'(3, -4)

N'(-1, 1)

And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

This is a clear implication that the transformation was a reflection over the line x = -0.5

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0

1 year ago

Use the method that you described in item 4 to answer the following

Kruka [31]

Answer:

Step-by-step explanation:

3 0

3 years ago

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

3 years ago

Find the total surface area of the following cone. Leave your answer in terms of pi.

kramer

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

height= 12 cm

Now finding the surface of cone.

Formula; Surface area of cone= $\pi rl+ B$

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= $\pi \times 5^{2} = 25\pi$

∴ Area of circle (B)= $25\pi$

Finding slant height (l)

Formula; $l= \sqrt{r^{2}+h^{2} }$

⇒l = $\sqrt{5^{2}+12^{2} } = \sqrt{25+144 }$

∴ l= $\sqrt{169} = 13\ cm$

Next, using the formula for finding surface area of cone.

Surface area of cone= $5\times 13\times \pi + 25\pi$

⇒ Surface area of cone= $65\pi +25\pi = 90\pi$

∴ Surface area of cone= 90π cm²

6 0

3 years ago