Pls help answer this, I will need an explanation as well-Thanks.
1 answer:
Hello!
First you have to find the probability of picking the right numbers
To do this you do the amount of favorable outcomes over the total amount of outcomes
There are 5 favorable numbers and 18 in total
This is a probability of 5/18
For the second number there of 4 favorable numbers and 17 in total since you already picked one
This is a probability of 4/ 17
For the third number there are 3 favorable numbers and 16 in total
This is a probability of 3/ 16
For the fourth number there are 2 favorable numbers and 15 in total
This is a probability of 2/ 15
For the fifth number there are 1 favorable numbers and 14 in total
This is a probability of 1/14
To get the answer you multiply all the probabilities together
5/18 * 4/17 * 3/16 * 2/15 * 1/14 = 1 / 8568
The answer is
Hope this helps!
First you have to find the probability of picking the right numbers
To do this you do the amount of favorable outcomes over the total amount of outcomes
There are 5 favorable numbers and 18 in total
This is a probability of 5/18
For the second number there of 4 favorable numbers and 17 in total since you already picked one
This is a probability of 4/ 17
For the third number there are 3 favorable numbers and 16 in total
This is a probability of 3/ 16
For the fourth number there are 2 favorable numbers and 15 in total
This is a probability of 2/ 15
For the fifth number there are 1 favorable numbers and 14 in total
This is a probability of 1/14
To get the answer you multiply all the probabilities together
5/18 * 4/17 * 3/16 * 2/15 * 1/14 = 1 / 8568
The answer is
Hope this helps!
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Exterior angle theorem and properties of the isosceles triangles are used
prove the specified relations.
Correct responses:
9. ΔPAT ~ ΔPTB by AA similarity postulate
15. ║
by basic proportionality theorem
9. A two column proof is presented as follows;
Statement Reasons
1. ∠PTA = ∠B 1. Given
2. ∠PAT = ∠ATB + ∠B 2. Exterior angle of a triangle theorem
3. ∠BTP = ∠ATB + ∠PTA 3 Angle addition postulate
4. ∠BTP = ∠ATP + ∠B 4. Substitution property of equality
5. ∠PAT = ∠BTP 5. Substitution property
6. ΔPAT ~ ΔPTB 6. AA similarity postulate
The Angle-Angle, AA, similarity postulate states that two triangles are similar if two angles in one triangle are each equal to two angles in the other triangle.
15. A two column proof is presented as follows;
Statement Reasons
1. Given
2. ∠1 ≅ ∠G 2. Given
3. ΔKHG is an isosceles triangle 3. Definition
4. HK = HG 4. Legs of an isosceles triangle
5. Substitution property
6. ║
6. BPT, Basic Proportionality Theorem
Basic Proportionality Theorem, BPT, states that if a line parallel to one of the sides of a triangle, intersects the other two sides, then the line divides the other two sides in the same proportion.
Learn more about basic proportionality theorem, AA similarity postulate here:
Answer:
Option (1)
Step-by-step explanation:
Radius of the spherical structure = 37.5 feet
Surface area of each panel = 49 square feet
Sphere is covered with panels.
Therefore, area of the panels needed =
Surface area of the sphere = 4πr²
Here 'r' = radius of the sphere
For a sphere having radius 'r' = 37.5 feet,
Surface area of the sphere = 4π(37.5)²
= 17671.5 feet²
Number of panels required to cover the sphere =
= 360
Therefore, Option (1) will be the answer.
Answer:
Step-by-step explanation:
Given
Let the number be x
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Required
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Take the square root of 625
Let
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Take the square root of 729
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