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Ludmilka [50]
2 years ago
7

Solve each proportion.

Mathematics
1 answer:
Maslowich2 years ago
3 0
To solve this question you need to cross multiply

So first do 3(2x+1) = 4(3x-2)
Which gives you 6x+1 = 12x-8

Now you solve it like a normal equation
6x+1 = 12x-8
9 = 6x
3/2 = x
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An article describes an experiment to determine the effectiveness of mushroom compost in removing petroleum contaminants from so
alexgriva [62]

Solution :

Let p_1 and p_2  represents the proportions of the seeds which germinate among the seeds planted in the soil containing 3\% and 5\% mushroom compost by weight respectively.

To test the null hypothesis H_0: p_1=p_2 against the alternate hypothesis  H_1:p_1 \neq p_2 .

Let \hat p_1, \hat p_2 denotes the respective sample proportions and the n_1, n_2 represents the sample size respectively.

$\hat p_1 = \frac{74}{155} = 0.477419

n_1=155

$p_2=\frac{86}{155}=0.554839

n_2=155

The test statistic can be written as :

$z=\frac{(\hat p_1 - \hat p_2)}{\sqrt{\frac{\hat p_1 \times (1-\hat p_1)}{n_1}} + \frac{\hat p_2 \times (1-\hat p_2)}{n_2}}}

which under H_0  follows the standard normal distribution.

We reject H_0 at 0.05 level of significance, if the P-value or if |z_{obs}|>Z_{0.025}

Now, the value of the test statistics = -1.368928

The critical value = \pm 1.959964

P-value = $P(|z|> z_{obs})= 2 \times P(z< -1.367928)$

                                     $=2 \times 0.085667$

                                     = 0.171335

Since the p-value > 0.05 and $|z_{obs}| \ngtr z_{critical} = 1.959964$, so we fail to reject H_0 at 0.05 level of significance.

Hence we conclude that the two population proportion are not significantly different.

Conclusion :

There is not sufficient evidence to conclude that the \text{proportion} of the seeds that \text{germinate differs} with the percent of the \text{mushroom compost} in the soil.

8 0
3 years ago
A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?<br><br>​
Ratling [72]

Answer:

15,000 liters

Step-by-step explanation:

First, find the volume in meters. 5*3*1=15 meters

1 meter = 1000 liters

(x15)

15 meters = 15000 liters

Hope this helped :D

4 0
2 years ago
Help Dana find the sum 346 421 152
lara [203]

Dana wants to find the sum

  3 4 6

  4 2 1

+1 5 2

________

We will not regroup this ones place because the sum of the digits in the ones place is not up to. It's just 6+1+2 = 9.

Therefore, 13a) No.

There is no regrouped tens to add, so we would not able to regroup the ones place.

Therefore, 13b) No.

We regroup the tens place because the sum of the digits in the ones place is upto to 10.

And 13c) Yes.

We add the regrouped hundred as we regrouped the ones place.

Therefore,

13 D) Yes.






7 0
3 years ago
I need help with this problem ASAP
Kamila [148]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
1+1<br> What the hell is one plus one. Pls tell me
Wittaler [7]
The answer is two, please mark me as brainliest lol
5 0
3 years ago
Read 2 more answers
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