Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
The only set that only has rational numbers is the first one:
{1/3, -3.45, √9}
<h3>
Which of the given sets contains only rational numbers?</h3>
A rational number is a number that can be written as the quotient of two integers.
If we look at the first set, the elements are:
- 1/3 which is a rational number.
- -3.45 = -345/100 which is a rational number
- √9 = 3 = 3/1 which is a rational number.
In the other sets we can see elements like:
√37, √44, or √2 which are all irrational numbers, then the only correct option is the first one.
If you want to learn more about rational numbers:
brainly.com/question/12088221
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Answer:
The observed tumor counts for the two populations of mice are:
Type A mice = 10 * 12 = 120 counts
Type B mice = 13 * 12 = 156 counts
Step-by-step explanation:
Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.
This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate). And the Poisson distribution gives the probability of an occurrence within a specified time interval.
Step 1: Subtract 3x from both sides.
−x+7=−52
Step 2: Subtract 7 from both sides.<span><span><span><span>
−x</span>+7</span>−7</span>=<span><span>−52</span>−7</span></span><span><span>
−x</span>=<span>−59</span></span>
Step 3: Divide both sides by -1.<span><span><span>
<span><span>−x</span><span>−1</span></span></span></span>=<span><span><span><span>−59</span><span>−1</span></span></span></span></span><span>
x=59</span>
