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LuckyWell [14K]

3 years ago

15

Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which algebraic expression can be use

d to determine Sam’s age if his aunt is 40?

1 answer:

bogdanovich [222]3 years ago

6 0

I believe she is 10

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The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to

melisa1 [442]

Answer with Explanation:

Total number of members in School Club = 80 members

Number of member randomly Selected,that is sample size used (P) = 50 members

Number of members who are planning to vote for Talia = 38 members

Z Score for 95% confidence interval =1.96

it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%

$E=\frac{Z*\sigma}{\sqrt{P}}\\\\ \frac{12}{100}=\frac{1.96 * \sigma}{\sqrt{50}}\\\\ \sigma=4.32890$

Standard Deviation=4.3 (approx)

→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.

→So, members which will vote for Talia as president of the club lies between minimum of 33 members and maximum of 42 members.

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Answer:

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Theres more then one! wich of these numbers are written in scientific notation!

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Graph y = | x | + 5 .

vovikov84 [41]

I cannot see the images, but...

y = | x | + 5

consider the absolute value function. You know that for every value of x, y will be greater than or equal to 5. this means that the y-intercept will also be the bottom of the curve.

Plug a few values in for an idea of what the graph will look like:
f(-1) = 6 (-1,6)
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What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of

notsponge [240]

Answer:

$A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})$

Step-by-step explanation:

The question is as following:

The verticies of a triangle on the coordinate plane are

A(0, 0), B(2, 0) and C(0, 2).

What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of 1/3 ?

=============================================

Given: the vertices of a triangle ABC are A(0, 0), B(2, 0) and C(0, 2).

IF the triangle is dilated by a factor of k about the origin, then

(x,y) → (kx , ky)

that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

It is given that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

If a figure dilated by a factor of 1/3 about the origin

So, $(x,y)\rightarrow (\frac{1}{3}x,\frac{1}{3}y)$

<u>So, The coordinates of the triangle A'B'C' are:</u>

$A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})$

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