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3 years ago

2/3 divided by 3/4 simplified

Mathematics

2 answers:

Hatshy [7]3 years ago

7 0

Answer: 8/9 = 0.8888889

mariarad [96]3 years ago

6 0

8/9 is the answer to your question

You might be interested in

Is 0.75 greater than 0.100?

Naya [18.7K]

Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one

8 0

3 years ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.

S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 8, \sigma = 0.03$

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so $s = \frac{0.03}{4} = 0.0075$

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

$Z = \frac{X - \mu}{\sigma}$

Applying the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.0075}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

X = 7.99

$Z = \frac{X - \mu}{s}$

$Z = \frac{7.99 - 8}{0.0075}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so $s = \frac{0.03}{5} = 0.006$

This is 1 subtracted by the pvalue of Z when X = 8.01. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.006}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0

3 years ago

2. The ground below your feet moves at the rate at which

garik1379 [7]

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!

5 0

4 years ago

Need help with this

m_a_m_a [10]

Answer:

4.3

Step-by-step explanation:

The area of a circle is pi(radius 2) So, the radius is just half of the diameter. The radius of the baseball is 1.5 and 1.5 x 1.5 x 3.14(pi) is 7.065. Then for the softball, 3.8/2 is 1.9, and 1.9 x 1.9 x 3.14(pi) is 11.3354 then 11.3354-7.065 is 4.2704 and that rounded, is 4.3

Hope this helped!❤

3 0

3 years ago

Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with lit

SOVA2 [1]

Answer:

Step-by-step explanation:

In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.

Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.

From the answer choices, we see D goes with this, hence D is the correct answer.

8 0

4 years ago

Read 2 more answers