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Sonja [21]
3 years ago
14

Sophie can type 128 words in 3 minutes. how many will it take her to type 576 word ?

Mathematics
1 answer:
ELEN [110]3 years ago
4 0

Answer:

13.5 Minutes

Step-by-step explanation:

First you divide 128 by 3 to get the WPM (Words Per Minute) that gets you an average speed of 42.66 WPM so you then divided the total amount of words (576) by 42.66 to get the answer of 13.5 Minutes or to type 576 words.

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Subtract the expression :<br> - 5x + 3x - 24<br> Plzz ....answer....plzzz
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On the checkerboard, 4/10 of the pieces left are red. What fraction of the pieces left are black? Write the equation.​
Alexeev081 [22]

Answer:

The fraction of black pieces left is \frac{6}{10}

Step-by-step explanation:

Given as :

On the checkerboard , The fraction of red pieces left = \frac{4}{10}

Let The fraction of black pieces left                              = x

So, The fraction of black pieces left = x = 1 - \frac{4}{10}

Or,                                                          x = \frac{10-4}{10}

Or,                                                          x = \frac{6}{10}

Hence The fraction of black pieces left is \frac{6}{10}  Answer

8 0
3 years ago
A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe
dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

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}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability that all students pass in a class:

Class of 8 students, which means that n = 8

Each student has a 95% chance of passing their class independent of the other students, which means that p = 0.95

This probability is P(X = 8). So

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

P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that n = 2

0.6634 probability all students pass in a class, which means that p = 0.6634.

This probability is P(X = 1). So

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

P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0
2 years ago
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