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bazaltina [42]
3 years ago
7

Write a fraction with a decimal value between 1/2 and 3/4

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0
\dfrac{1}{2}=\dfrac{1\cdot5}{2\cdot5}=\dfrac{5}{10}=0.5=0.50\\\\\dfrac{3}{4}=\dfrac{3\cdot25}{4\cdot25}=\dfrac{75}{100}=0.75\\\\0.50\ \boxed{ \ \textless \  0.51 \ \textless \  0.52 \ \textless \  ... \ \textless \  0.73 \ \textless \  0.74} \ \textless \  \ 0.75\\\\\dfrac{1}{2}\ \boxed{\ \textless \  \dfrac{51}{100} \ \textless \  \dfrac{52}{100}=\dfrac{13}{25} \ \textless \  ... \ \textless \  \dfrac{73}{100} \ \textless \  \dfrac{74}{100}=\dfrac{37}{50}}\ \ \textless \  0.75
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Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are nequals7 ​trials, eac
Ket [755]

Answer:

P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295

Step-by-step explanation:

Question assumed: Find the probability that the number x of correct answers is fewer than 4.

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=7, p=0.25)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X < 4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)

P(X=0)=(7C0)(0.25)^0 (1-0.25)^{7-0}=0.1335

P(X=1)=(7C1)(0.25)^1 (1-0.25)^{7-1}=0.3115

P(X=2)=(7C2)(0.25)^2 (1-0.25)^{7-2}=0.3115

P(X=3)=(7C3)(0.25)^3 (1-0.25)^{7-3}=0.1730

P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295

3 0
4 years ago
What is 5x+3 subtracted from 3x-6
Vikki [24]
The answer is 2x-3 :))((
3 0
4 years ago
Read 2 more answers
Area = length x width
kramer

Answer: It will cost him $237 to seed the entire backyard

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the area of the rectangular backyard:

Area of a rectangle = length x width

Replacing with the values given:

A = 20 x 15 = 300 ft2

Since seed cost 0.79 per square foot, we simply have to multiply that price by the area:

0.79 x 300 = $237

It will cost him $237 to seed the entire backyard

Feel free to ask for more if needed or if you did not understand something.

3 0
4 years ago
From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project.
Wewaii [24]

Answer:

The answer is D

Step-by-step explanation:

Have a great day!

8 0
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Raven can walk 2 2/5 miles in 3/5 hour. At this rate, how far can she walk in 1 hour? You might want to change 2 2/5 to an impro
elena55 [62]

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

  • <em>Distance traveled by Raven = 2 2/5 miles</em>
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The speed of Raven motion is calculated as follows;

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The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

D = 4 \times 1\\\\D = 4 \ miles

Learn more about rate and distance here: brainly.com/question/1090517

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