9 it’s the only one single digit number and each number has a 2 digit number or higher
Answer:
Always
Step-by-step explanation:
In mathematics, when we say that two ratios form a proportion, we mean that the two ratios are equal.
Ex: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
A proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 105 equals 21 .
The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have Ken's statements are shown in the table:
Angle AOC = Angle BOD (given)
Angle AOB + Angle BOC = Angle BOC + Angle COD (angle addition postulate)
Angle AOB = ANgle COD (subtraction property of equality)
Ken wrote direct proof using deductive evidence.
As we can in betty's proof:
Betty wrote an indirect proof using contradiction.
Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.
Learn more about the angle here:
brainly.com/question/7116550
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Answer:
The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.
Step-by-step explanation:
This can be modeled as a binomial random variable with n=8 and p=0.4.
The probability that k individuals in the sample have Type A blood can be calculated as:
![P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\](https://tex.z-dn.net/?f=P%28x%3Dk%29%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%20p%5E%7Bk%7D%281-p%29%5E%7Bn-k%7D%5C%5C%5C%5C%5C%5CP%28x%3Dk%29%20%3D%20%5Cdbinom%7B8%7D%7Bk%7D%200.4%5E%7Bk%7D%200.6%5E%7B8-k%7D%5C%5C%5C%5C%5C%5C)
Then, we can calculate the probability that more than 8/2=4 have Type A blood as:
![P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738](https://tex.z-dn.net/?f=P%28X%3E4%29%3DP%28X%3D5%29%2BP%28X%3D6%29%2BP%28X%3D7%29%2BP%28X%3D8%29%5C%5C%5C%5C%5C%5CP%28x%3D5%29%20%3D%20%5Cdbinom%7B8%7D%7B5%7D%20p%5E%7B5%7D%281-p%29%5E%7B3%7D%3D56%2A0.0102%2A0.216%3D0.1239%5C%5C%5C%5C%5C%5CP%28x%3D6%29%20%3D%20%5Cdbinom%7B8%7D%7B6%7D%20p%5E%7B6%7D%281-p%29%5E%7B2%7D%3D28%2A0.0041%2A0.36%3D0.0413%5C%5C%5C%5C%5C%5CP%28x%3D7%29%20%3D%20%5Cdbinom%7B8%7D%7B7%7D%20p%5E%7B7%7D%281-p%29%5E%7B1%7D%3D8%2A0.0016%2A0.6%3D0.0079%5C%5C%5C%5C%5C%5CP%28x%3D8%29%20%3D%20%5Cdbinom%7B8%7D%7B8%7D%20p%5E%7B8%7D%281-p%29%5E%7B0%7D%3D1%2A0.0007%2A1%3D0.0007%5C%5C%5C%5C%5C%5C%5C%5CP%28X%3E4%29%3D0.1239%2B0.0413%2B0.0079%2B0.0007%3D0.1738)