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docker41 [41]
3 years ago
10

Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of

that particular chocolate powder has a mass of 128 grams. She added 2/3 of a cup of chocolate powder to the flour. Should Laura add more chocolate powder to make the exact recipe, or did she go over and by what amount?
A) She went over by 1/3 of a cup
B) She needs to add 1/3 of a cup
C) She needs to add 1/6 of a cup
D) She went over by 1/6 of a cup
Please show me how you got your answer :D
Mathematics
2 answers:
andriy [413]3 years ago
6 0

Answer: Using operations with fraction to solve the problem, Laura went over by 1/6 of a cup (option D).


Solution:

The recipe says that she has to mix 64 grams of chocolate powder to the flour. Like 1 cup of that particular chocolate powder has a mass of 128 grams, 64 grams represent:

64/128=(64/64)/(128/64)=1/2 of a cup of chocolate

She added 2/3 of a cup of chocolate powder to the flour. If we compare:

2/3=0.67 > 1/2=0.5

Then, she went over by:

2/3-1/2=[(2(2)-3(1)]6=(4-3)/6=1/6 of a cup

Sliva [168]3 years ago
4 0
She went over by 1/6 of a cup because 64 is half of 128 and 2/3 is greater then 1/2 
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a pharmacist believes the proportion of prescriptions that are antibiotics is decreasing. the pharmacist would like to test the
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Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

What is the null hypothesis?

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis. The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population. The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test. The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.H₀ is a common way to represent it.

The alternative hypothesis is the assertion that is being compared against the null hypothesis. Two symbols are H₁ and Hₐ.

Calculation:

Here H₀:  P=0.52

  H₁: P<0.52

Test statistic, Z = -1.89

critical value = -1.65

Decision rule: If zZ< -1.65 we reject H₀ and vice-versa

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

Learn more about the null hypothesis here:

brainly.com/question/13776238

#SPJ4

Disclaimer: The question was given incorrectly on the portal. Here is the correct question

Question:

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1 year ago
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