Question:
An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7
Answer:
4.9 is the shortest possible length of the sides.
Step-by-step explanation:
Given:
The base of the triangle base = 9.2 units
To Find:
The shortest possible length of the sides = ?
Solution:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So According to the theorem
In the given option 4.9 is the shortest length greater than 4.8 that can be possible.
A;
[(4 x 6) + (5 x 2)] - [(14 x 2) + 7]
B;
[(4 x 6) + (5 x 2)] - [(14 x 2) + 7]
[24 + 10] - [28 + 7]
34- 21
13
answer: $13
The answer is 0.2450
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied.
In this situation, we have two events occurring simultaneously:
1. Nathan is not allergic to penicillin. The probability that Nathan is not allergic to penicillin is:
1 - the probability of having the allergy.
If the probability of having the allergy is 75% = 0.75, then the probability that Nathan is not allergic to penicillin is:
1 - 0.75 = 0.25
2. The probability that the test is accurate: 98% = 0.98
By using the multiplication rule:
0.25 × 0.98 = 0.245
Therefore, the probability after the test that Nathan is not allergic to the drug is 0.245 = 24.5%.
Answer:
In total it’s 180 but east to west is 120
Step-by-step explanation:
Answer:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Step-by-step explanation:
x% confidence interval is between a ± b.
a is the sample mean.
b is the margin of error.
Interpretation: We are x% sure that the population mean is between a-b and a+b.
In this question:
96% confidence interval for the mean time that students will require to complete a particular examination. Between 62.4 - 12.6 = 49.8 minutes and 62.4 + 12.6 = 75 minutes.
The correct interpretation is that we are 96% sure that the population mean is in this interval.
So the correct answer is:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
