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2 years ago

I may have alreadu asked this but...help !

Mathematics

1 answer:

Nataly_w [17]2 years ago

3 0

The first price is 18.934 and the second is 25.929 but I’m not sure about the third

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Find the measure of each angle indicated

Oliga [24]

The question marked angle is equal to 138

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3 years ago

Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance

Leto [7]

Answer:

a. mean = 6.96 , standard deviation = 1.71 b. 0.0641

Step-by-step explanation:

Here is the complete question

According to the Behavioural Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).

a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly? What would be the standard deviation?

b. Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance System is correct, what is the probability that you would have obtained results as bad or worse than expected?

<em>Solution</em>

a. Since we can only have two types of outcomes, that is, those who exercise and those who do not exercise, the problem follows a binomial distribution.

Since the probability of those who do not exercise, p = 58 % = 0.58,

the mean of the binomial distribution μ = np where n = sample number = 12

So, μ = 12 × 0.58 = 6.96

The standard deviation of a binomial distribution σ = √(npq) where q = probability that people exercise = 1 - p = 1 - 0.58 = 0.42

So, σ = √(12 × 0.58 × 0.42) = √2.9232 = 1.71

b. To find the worst case, we consider the probability that at best, two exercise. Since two exercise, the probability that at best two exercise is ¹²C₂q²p¹⁰ + ¹²C₁qp¹¹ + ¹²C₀q⁰p¹²

= (12 × 11/2)(0.42)²(0.58)¹⁰ + 12(0.42)(0.58)¹¹ + 1 × (0.42)⁰(0.58)¹²

= 0.05 + 0.0126 + 0.00145

= 0.06405

≅ 0.0641

6 0

3 years ago

Find the values for x and y.

vivado [14]

Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
$180 - 90$
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
$90 \div 5 = 18$
and we get 18 which is X.
$x = 18$
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
$5(y + 11) + 4y - 10 = 180$
First, distribute 5(y + 11)
$5 \times y \\ 5 \times 11$
Then you get this equation :
$5y + 55 + 4y - 10 = 180$
Now, add the two equations together
$5y + 55 + 4y - 10$
and you get this equation

$9y + 45 = 180$
Now subtract 45 from both sides
$9y + 45 - 45 = 180 - 45$
and divide by 9 on both sides
$9y \div 9 = 135 \div 9$
and you get your answer
$y = 15$

So
$x = 18$
and
$y = 15$

8 0

3 years ago

A test of intelligence is given to a subject. The subject scores 110 on the first administration. Six months later, the same sub

Basile [38]

Answer:

True, the scores are not valid.

Step-by-step explanation:

The test supposed to be measuring intelligence. We can assume that the intelligence of most people relatively stable (will not change too much over a short amount of time), and can expect it should go upward with brain growth and education. But the test seems to give a huge decrease from the first and second results. Then the third result is a huge increase that even higher than the first test.

We don't know the true value of the subject, but seeing the huge gap for every repetition we can tell that the test result lacks precision.

5 0

3 years ago

Find the 12th term of the following geometric sequence.<br> 3, 12, 48, 192

zavuch27 [327]

12th term is 12,582,912

6 0

3 years ago