Solve any evens for 20 points apiece

Subract 5 5/21 from 13 1/7

Sladkaya [172]

Answer:

The answer is 166/21, or 7 19/21

Step-by-step explanation:

First, you would set up the equation, which is:

13 1/7 - 5 5/21

Next, you would turn them into an improper fraction, which is:

92/7 - 110/21

Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:

276/21 - 110/21

Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.

7 0

3 years ago

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Find the value of x in the triangle shown below. one angle is 102 and the other angle is 48 and the third one is x

lora16 [44]

Answer:

30

Step-by-step explanation:

Since you know all the angles have to add up to 180 degrees, you add 102 and 48. That is 150. 180 degrees-150 degrees equals 30 degrees.

5 0

2 years ago

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A researcher would like to evaluate the claim that large doses of vitamin C can help prevent the common cold. One group of parti

ArbitrLikvidat [17]

Answer: The dependent variable is discrete.

Step-by-step explanation:

There are different types of variables. Variables can be classified into two main groups: qualitative and quantitative.

Qualitative variables are those who represent attributes. For example, flowers of 3 different colors: yellow, orange and blue. Also, when they haven’t an order or a hierarchy, they are called nominal, as in the previous flowers's example. When they have a hierarchy associated, they are called ordinal (you can distinguish a natural order), for example: small, medium, large.

Quantitative variables are those that represent quantities, and they can be discrete or continuous. A variable is discrete when only certain finite values are possible. This variables are used to represent counts, like the in the example: number of colds within a winter season, or for example, number of students in a class, number of plants per acre, etc.

On the other hand, when a variable is continuous, infinite values can be found between two values. They are measure in continuous scales. For example, the plant’s height: it could be take any continuous values, like 10.3 cm, 15 cm, 17.99 cm.

In summary, in the present problem the response variable is quantitative and discrete, because it is countable and finite, and only some values are possible: positive integers.

7 0

3 years ago

In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude

vladimir1956 [14]

Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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