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2 years ago

1/2x-5=10 find and justify each step

2 answers:

7 0

<span>1/2x-5=10
Add 5 to both sides
1/2x= 15
Divide 1/2 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x=30

To make sure that this is the answer:
1/2(30)=15
Multiply 1/2 by 30
Final Answer: 30=30 Which means that 30 is equal to x.</span>

sergeinik [125]2 years ago

5 0

im guessing youre soling for x so,

1/2x-5=10 ; first step add 5 to both sides

+5=+5

1/2x=15 ; do get rid of the fraction and get x alone multiply both sides by 2

(2)1/2x=15(2) : the 2 is the recipicol of 1/2 cancelling it out.

x=30

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

3 years ago

What is 2/3 x 4 1/5 as a mixed fraction?

EleoNora [17]

=2/3 x 4 1/5
Change 4 1/5 to improper fraction
=2/3 x 21/5

Multiply the two numerators together and multiply the two denominators together

= (2*21)/(3*5)
=42/15

Convert back to mixed fraction

= 2 12/15
Simplify by dividing 3 into top & bottom

ANSWER:
= 2 4/5 simplest mixed fraction

Hope this helps! :)

6 0

2 years ago

Read 2 more answers

Help meeee plz I don’t get it

MatroZZZ [7]

Answer: F

Step-by-step explanation:

This is basically like 2 rectangles. Find the area of both and add them together.

Remember that the area is $l$ x $w$ .