Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i
s made up of two opposite rays.
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
needs to be a actual two column proof with statements and reasons. im just not really understanding it
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
needs to be a actual two column proof with statements and reasons. im just not really understanding it
2 answers:
You might be interested in
Answer:
Let X the random variable who represents the file sizeof music. We know the following info:
We select a sample of n=50 nails. That represent the sample size.
Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem we know that the distribution for the sample mean is given by:
And we can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Let X the random variable who represents the file sizeof music. We know the following info:
We select a sample of n=50 nails. That represent the sample size.
Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem we know that the distribution for the sample mean is given by:
And we can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.
Bb = brown hair phenotype
bb = black hair phenotype
we see that B = brown hair is the dominant gene while b = black hair is the recessive gene
----------------------------------
ll = short hair, this is a lowercase L
Ll = long hair
In this case, l = short hair is the recessive gene while L = long hair is the dominant gene.
----------------------------------
Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are
- LlBb = long brown hair (comes up 4 times)
- Llbb = long black hair (comes up 4 times)
- llBb = short brown hair (comes up 4 times)
- llbb = short black hair (comes up 4 times)
-----------------------------------
If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.
The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.
The probability of having both events occur is (1/4)*(1/4) = 1/16
The multiplication of probabilities is valid because the two events are independent.
==============================================
<h3>Final Answer: A) 1/16</h3>