Angles
1 answer:
<h3>Answer: XWY and STR</h3>
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
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Let's solve your problem:
The answer would be 280%.
We know the following information:
2pm - 15 toilet paper rolls
5pm - 57 toilet paper rolls
We have to find the <u>percent rate of change.</u>
Here is how we will do this problem:
<h3><u>First, Set up a ratio:</u></h3>
Change in the quantity [15 - 57]
-------------------------------------
Original quantity [15]
57 - 15 = 42
<h3><u>Next, we will divide. the ratio.</u></h3>
Given quantity - 42
Number of packs sold at 2pm - 15
Fraction - 42/15
<h3><u>Convert the fraction to a decimal.</u></h3>
Fraction - 42/15
Decimal - 2.8
<h3><u>Make the decimal to a percent.</u></h3>
Decimal - 2.8
Percent - 28%
<u>Add a zero to the 28.</u>
<h2><u>Our answer is 280%</u></h2><h3></h3>
Answer:
The probability that all the six people will test negative for the antibody is 0.9472.
The probability that the test comes back positive for at least one of the six people is 0.0528
Step-by-step explanation:
Consider the provided information.
probability that antibody is present will be effective is 99.1% and not present is 99.1% of the time.
Part (A)What is the probability that the test comes back negative for all six people?
Let P(X)= P(Antibody not present)
We want test comes back negative for all six that means antibody is present for all six. Thus X=0
The probability that all the six people will test negative for the antibody is 0.9472.
Part (B) What is the probability that the test comes back positive for at least one of the six people?
Hence, the probability that the test comes back positive for at least one of the six people is 0.0528