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4 years ago

-3(x+5)=3(x-1) How to solve

Mathematics

1 answer:

Luden [163]4 years ago

7 0

Answer:

x = -4

Step-by-step explanation:

-3 (x + 5) = 3 (x - 1) <Start by distributing the -3 and 3 (don't forget to distribute . the negative symbol!

-3x - 15 = 3x - 3

+3x +3x <Add 3x on both sides

-15 = 3x - 3

+3 +3 <Add 3 on both sides

-12 = 3x <Divide by 3 on both sides

-4 = x

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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

3 years ago

Express (16^3)^1/2 in simplest radical form.

Rufina [12.5K]

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

6 0

3 years ago

Please help me:(***********

jeka94

Answer:

A:

Square

Rectangle

Parallelogram

Quadrilateral

Rhombus

Step-by-step explanation:

All sides and angles are equal so it is a square

All angles are 90 degrees so it is a rectangle (eliminate C)

Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)

It has 4 sides so it is a quadrilateral (eliminate B)

Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.

Opposing sides are congruent so it is a rhombus.

4 0

3 years ago

Question 1: Which Operation should you do first when evaluating the

sleet_krkn [62]

C. multiply because of the order of operations

6 0

4 years ago

Please answer this multiple choice question, will give brainliest!

solmaris [256]

Answer:

Step-by-step explanation:

<D and <A are vertical angles.

Vertical angles are congruent.

Congruent means the same or equal.

7 0

3 years ago