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Kobotan [32]
3 years ago
13

What is the least common denominator of 1/3 and 4/7?

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

21

Step-by-step explanation:

The denominators are 3 and 7 and those are both odd numbers.

You can not get a number lower than 21. Therefore 21 is the LCM (Lowest common denominator.)  

Hope this helps :)

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The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup
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Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

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2 years ago
Point K is located at (1.5) on the coordinate plane. Point K is reflected over the Z-
Setler79 [48]

Answer:

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Step-by-step explanation:

6 0
3 years ago
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t
Angelina_Jolie [31]

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

P(X = 3) = (0.7)^{3} = 0.343

5 0
3 years ago
Max makes a scale drawing of distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 24.
NeTakaya

Answer:

Option D. 7/250 = 24.8/x; 885.71

Step-by-step explanation:

we know that

Using proportion

\frac{7}{250} \frac{cm}{mi}=\frac{24.8}{x} \frac{cm}{mi}\\ \\x=250*24.8/7\\ \\x=885.71\ miles

5 0
3 years ago
Which angle relationship alone could be used as a reason that two angles are congruent?
zimovet [89]

Supplementary angles

7 0
3 years ago
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