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2 years ago

5(3 – x) + 1 = 3(x+4)

Mathematics

1 answer:

Yuri [45]2 years ago

3 0

Step-by-step explanation:

<h3>✞︎Given</h3>

5(3-x)+1=3(x+4)

Solve Equation

<h3>✞︎Solution</h3>

$\tt\large\underline{15-5x+1=3x+12}$

$\large{✰} \bf \underline\color{purple}{16-5x=3x+12}$

$\tt\large\underline{\longmapsto16-12-3x+5x}$

$\tt\large\underline{\longmapsto4-8x}$

$\tt\large\underline{\longmapsto8x=4}$

$X=\longmapsto\sf \dfrac{\cancel{4}}{\cancel{8}}$

$\tt\large\underline{\longmapsto \: \: \: \: x = \frac{1}{2} }$

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A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

nexus9112 [7]

Answer:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=370 represent the sample selected

$\hat p=0.4$ estimated proportion of readers owned a laptop

$p_o=0.45$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:

Null hypothesis: $p=0.45$

Alternative hypothesis: $p \neq 0.45$

The statistic is:

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

Replacing we got:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

Calculating the p value

We have a bilateral test so then the p value would be:

$p_v =2*P(z$

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3 years ago

What 3 consecutive even numbers added together equal 42? Us e the equation n+ (n+2) + (n+4) = 42 to help you solve

Daniel [21]

12,14,16

You reduce similar terms ("n" and numbers) then you just simplify the equation and kind of guess the even numbers that equal 42 based on your answer (12)

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3 years ago

3. Combine terms: 123a + 26b -4b – 16a.

m_a_m_a [10]

Answer:C) -4a+22b because u add 12a ➕-16a and u get negative 4 then u mines 26b-4b and u get 22

Step-by-step explanation:

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3 years ago

A sewing club used 48 feet of fabric to make 8 blankets. At this rate how many blankets can be made from 6 yards of fabric?

Scilla [17]

48f=8b
÷8 ÷8 (divided by 8)
6f=b
it takes 6 feet of fabric to make 1 blanket
6f=1b 3f=y
36f=6b
12y=6b

it takes 12 yards to make 6 blankets

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