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3 years ago

Lines b and c are parallel what is the measure of angle 6?

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Answer:

54 degrees

Step-by-step explanation:

If these two lines are parallel, than angles 1 and 7 are supplementary.

13x+9+5x+9=180

18x+18=180

x+1=10

x=9

Angle 6 and 7 are vertical angles, so they are equal. Therefore, angle 6 is:

5x+9=5(9)+9=54

Hope this helps!!

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Which of the following lists of orders pairs is a funtion

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Answer:

Step-by-step explanation:

For it to be a function, every x value must have 1 unique y value ONLY.

In option A, you can see that the x value of 1 has 2 y values, 1 & 5. So it's not a function.

In option B, you can see that the x value of 0 has 2 y values, 0 & -4. Moreover, the x value of 4 also has 2 y values, 2 & -2. So it's not a function.

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3 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

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