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Ipatiy [6.2K]
3 years ago
13

Help me please, thanks. -Tornado

Mathematics
2 answers:
Ann [662]3 years ago
6 0

Answer:

x =   -  \frac{25}{3}

Step-by-step explanation:

\frac{10}{3}  =  \frac{x}{( -  \frac{5}{2}) }

<h3>i) simplify the complex fraction</h3>

\frac{10}{3}  =  -  \frac{2x}{5}

<h3>ii) simplify the equation using cross multiplication</h3>

5(10) =  - 2x(3)

50 =  - 6x

<h3>iii) swap the sides of the equation</h3>

- 6x = 50

<h3>iv) divide both sides of the equation by -6</h3>

\frac{ - 6x}{ - 6}  =  \frac{50}{ - 6}

x =  -  \frac{50}{6}

<h3>v) simplify the fraction</h3>

x =  -  \frac{25}{3}

jok3333 [9.3K]3 years ago
4 0
Yes that answers correct like this please
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0

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A horizontal line has a slope of zero and a vertical line has an undefined slope

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3 years ago
Let F: R → R be defined by f(x) = x”. Show that f'is one-to-one and onto.​
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Step-by-step explanation:

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2 years ago
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T
pashok25 [27]
<h3>Hello there i hope you are having good day :) Question : Solve the problem by writing an inequality. =  A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work? = So firstly  the each of the shirt cost $12 and the money made for the shirt equals 12$ so the cost per the shirt would be 20 + 8x that lead to needing at least 100$  amount made - cost = profit would equal to 12x - (20-8x) ≥ 100 then you would do 12x-20-8x = 100 then you would also do 4x-20 = 100 then you add 20 and add 20 again that would equal 4x/4x = 120/4  that would finally lead you to the answer that would be x = 30 --->  x ≥ 30</h3><h3>Hopefully this help you.</h3>

4 0
3 years ago
A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Can y’all help me a question 25?!
Elenna [48]

Answer:

19.8839 miles away

Step-by-step explanation:

:)

3 0
3 years ago
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