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2 years ago

Help clear the fractions I need more help

Mathematics

1 answer:

marishachu [46]2 years ago

3 0

Answer:

x = $\frac{43}{6}$

Step-by-step explanation:

Given

$\frac{3}{4}$ x - 5 = $\frac{3}{8}$

Multiply through by 8 ( the LCM of 4 and 8 ) to clear the fractions

6x - 40 = 3 ( add 40 to both sides )

6x = 43 ( divide both sides by 6 )

x = $\frac{43}{6}$

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viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

3 years ago

Math answer with work cause it need proof ASAP

Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for $(1*10)+(4*1)+(7*0.01)+(2*0.001)$ :

__________________________

✦ Solve Parenthesis first:

$(1*10)=\bold1\bold0$

$(4*1)=\bold4$

$(7*0.01)=\bold0\bold.\bold0\bold7$

$(2*0.001)=\bold0\bold.\bold0\bold0\bold2$

__________________________

✦ Add all the values together:

$10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2$

__________________________

So Mikayla wrote the decimal correctly.

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~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

$-Your~ Friendly ~Answerer,~ Shane$ ☺

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The smallest one is -2/7
The largest one is 8/9 The difference between them is
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