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Juliette [100K]
2 years ago
11

Malik is using a cookbook to make a recipe, but he cannot find his

Mathematics
1 answer:
spayn [35]2 years ago
5 0

Answer:

a. Given a number of tablespoons, find the number of cups:

1. Since he needs 2 cups, he can use 2×16=32 tablespoons.

2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.

He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:

I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)

I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)

Step-by-step explanation:

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Suppose a baker claims that his bread height is more than 15 cm, on average. Several of his
yKpoI14uk [10]
  1. Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
  2. Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For the baker's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ ≤ 15

H₁: μ > 15

Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:

Population standard deviation = σ/√n

Population standard deviation = 0.5/√10

Population standard deviation = 0.16.

For the p-value, we have:

The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:

p-value = P(x > 17) ≈ 0.

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.

Question 3.

For the oil company's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ = 0.15

H₁: μ > 0.15

<h3>How to calculate value of the z-score?</h3>

The z-score can be calculated by using this formula:

z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of boys.

Substituting the given parameters into the formula, we have;

z=\frac{0.162\;-\;0.15}{\frac{0.04}{\sqrt{40} } }\\\\z=\frac{0.012}{\frac{0.4}{6.3246 } }

z = 0.012/0.0633

z = 0.190.

From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.

For the critical value, we have:

Critical probability (p*) = 1 - α/2

Critical probability (p*) = 1 - 0.1/2

Critical probability (p*) = 0.95.

Hence, the critical value is Zα/2 equal to 1.645.

Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
9 months ago
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
Anna [14]
In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36
5 0
3 years ago
Read 2 more answers
A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft.
Alik [6]
Total pool = 40 by 20, or 800 feet
Recreational = 20 by 10, or 200 feet

Subtract the recreational part of the pool from the total pool, your answer should be:

600 square feet are reserved for the swim team. 
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3 years ago
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Write the standard form for 25
pishuonlain [190]

Answer:

twenty fifth

Step-by-step explanation:


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3 years ago
Surface area of a cylinder
Paul [167]
703.4 cmsquare
Hope it helps
4 0
3 years ago
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