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3 years ago

8 1/4 - 6 1/2, what is the answer and work for this?

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:
=1 3/4Solution 1 by separating partsRewriting our equation with parts separated=8+1/4−6−1/2Solving the whole number parts8−6=2Solving the fraction parts1/4−1/2=?Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
1/4−2/4=−1/4Combining the whole and fraction parts2−1/4=1 3/4Solution by Formulas converting mixed numbers to fractions, our initial equation becomes,33/4−13/2
Applying the fractions formula for subtraction,=(33×2)−(13×4)/4×2=66−52/8=14/8Simplifying 14/8, the answer is=1 3/4

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Aneli [31]

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D. H0: p ≤0.36 H1: p>0.36

$$$(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155$

$Z_p=-0.25516$

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Step-by-step explanation:

To solve this problem, we run a hypothesis test about the population proportion.

$$$Sample proportion: $\bar P=0.47\\Sample size n=100$\\Significance level \alpha=0.10$\\(Left tail test) Z_{1-\alpha}=Z_{0.90}=-1.28155$\\(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155$\\(Two-tailed test) $Z_{1-\alpha/2}=Z_{0.95}=-1.64485$ and $ Z_{\alpha/2}=Z_{0.05}=1.64485\\\\$

The appropriate hypothesis system for this situation is:

$H_0:\pi_0=0.35\\H_a:\pi_0 > 0.35\\\\$Proportion in the null hypothesis is:\\\pi_0=0.35\\\\$

$$$The test statistic is $Z=\frac{(\bar P-\pi_0)\sqrt{n}}{\sqrt{\pi_0(1-\pi_0)}}\\$The calculated statistic is Z_c=\frac{(0.47-0.35)\sqrt{100}}{\sqrt{0.35(1-0.35)}}=-0.25516\\p-value = P(Z \geq Z_c)=0.01620\\\\$

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3 years ago

1 2/7 minus what equals 6/7

Bad White [126]

Change all mixed fractions to improper fractions.

1 2/7 = 7/7 + 2/7 = 9/7.

Subtract

9/7 - 6/7 = 3/7

3/7 is your answer

Hope this helps

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4 years ago

A liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle. Calculate the concentration

MrMuchimi

Answer:

20 mg/ml.

Step-by-step explanation:

We have been given that a liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle.

$\text{Concentration of morphine sulfate on g/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}$

To convert the concentration of morphine sulfate on a mg/mL basis, we need to convert 2.4 grams to milligrams.

1 gram equals 1000 milligrams.

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}\times\frac{\text{1,000 mg}}{\text{1 g}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2.4\times\text{1,000 mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2400\text{ mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{20\text{ mg}}{\text{ml}}$

Therefore, the concentration of morphine sulfate would be 20 mg per ml.

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3 years ago