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Otrada [13]
3 years ago
8

Help please!!!!!!!!!!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

H. 1/9.

Step-by-step explanation:

The area of a circle is calculated by solving for πr^2.

The smallest circle has an area of π1^2 = π * 1 = π.

The middle ring will then have an area of π2^2 - π = π * 4 - π = 4π - π = 3π.

The largest ring will then have an area of π3^{2} - π2^{2} = 9π - 4π = 5π.

5π + 3π + π = 9π

So, the probability of hitting the innermost circle will be π / 9π = 1 / 9.

Your answer is H. 1/9.

Hope this helps!

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A population has mean 187 and standard deviation 32. If a random sample of 64 observations is selected at random from this popul
Zina [86]

Answer:

11.51% probability that the sample average will be less than 182

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 187, \sigma = 32, n = 64, s = \frac{32}{\sqrt{64}} = 4

What is the probability that the sample average will be less than 182

This is the pvalue of Z when X = 182. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{182 - 187}{4}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that the sample average will be less than 182

8 0
3 years ago
What is the sum of 1015 and 119?
Flura [38]
You'd likely find this problem easier if you'd write these two numbers on separate lines, one above the other:

1015
+119
-------
1134
6 0
3 years ago
Which of the following correctly isolates the constant for the polynomial: x2 – 12x + 27
Andru [333]

Answer:

x^2 - 12x = -27

Step-by-step explanation:

Here, we want to isolate the constant for the polynomial

To do this, we start by setting the expression to zero

Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value

Mathematically, we have this as;

x^2 - 12x + 27 = 0

x^2 - 12x = -27

5 0
3 years ago
Yesterday, there were 80 problems assigned for math homework. Jenna did 45% of them correctly. How many problems did Jenna get r
seraphim [82]

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

5 0
3 years ago
If the ratio of black jeans to blue jeans is 6 to 18 with a total of 240 jeans. how many of them are blue.
STatiana [176]
There would be 180 blue jeans. If you need any question how I got that answer, ask me.. :)
5 0
3 years ago
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