Find atleast 5 numbers between 1/2 and 1/3

Answer:

The probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.

Step-by-step explanation:

Let X = number of times Siri is known to answer general facts correctly.

The probability of random variable X is, P (X) = p = 0.4452.

The sample selected is of size, n = 181.

The random variable

As the sample size is large, i.e. n > 30 and the [probability of success is closer to 0.50, i.e.p is close to 0.50, then the binomial distribution can be approximated by the normal distribution.

Also if np ≥ 10 and n (1 - p) ≥ 10 then binomial distribution can be approximated by normal distribution.

Check the conditions as follows:

• n = 181 > 30
• p = 0.4452 is closer to 0.50
• np = 181 × 0.4452 = 80.5812 > 10
• n (1 - p) = 181 × (1 - 0.4452) = 100.4188 > 10

All the conditions are satisfied.

Then the sample proportion () follows a Normal distribution.

Mean =

Standard deviation =

Compute the probability that there will be less than 45.1% questions of general facts that Siri answers is correct as follows:

**Use the z-table for probability.

Thus, the probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.

Answer:

1/16

Step-by-step explanation:

To have one real solution, the discriminant must be 0.

b² − 4ac = 0

1² − 4a(4) = 0

1 − 16a = 0

a = 1/16

Answer:

n=3.8416≅4

So Minimum Sample Size is 4

Step-by-step explanation:

In order to find the minimum sample size, the formula we use will be:

Where:

n is sample size  

Z is the distribution

S is the standard deviation

E is the  Margin of error

S=3 ,E=3

For Z:

Alpha=1-0.95=0.05

Alpha/2=0.025=2.5%

From Cumulative Standard Distribution Table:

Z at Alpha/2 = 1.960

n=3.8416≅4

So Minimum Sample Size is 4

Answer:

You can make 2 servings.

Step-by-step explanation:

Hi there!

3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.

Have a great day!

(I'd also appreicate it if I got a rating and maybe a Thanks please!)

To express the repeating decimal 8.54545454545... as a rational number, we can use the concept of infinite geometric series. The rational number equivalent is 282/33.

To express the repeating decimal 8.54545454545… as a rational number, we can use the concept of infinite geometric series. Let x = 8.54545454545…, then multiplying x by 100 gives 100x = 854.54545454545…. Next, subtracting the original x equation from the 100x equation eliminates the repeating decimals, giving 99x = 846. Dividing both sides by 99 results in x = 846/99. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, gives the final answer: x = 282/33.

Learn more about Rational Numbers here:

brainly.com/question/24398433

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If you mean p/q, then this is how you do it:

Therefore your final answer is 94/11, where p is 94 and q is 11.

Answer:

(b) 4x² and 3xy

Step-by-step explanation:

The terms of an expression 4x² – 3xy are:

The terms are the factors of the expression, which are 4x² and -3xy. The signal is not counted as a term. So the correct answer is given by option b.