Answer: This triangle is <u>not</u> a right triangle
Step-by-step explanation:
In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides. Thus, 5^2+9^2=13^2. Simplify this to get 25+81=169, then 106=169. Because 106 does <u>not</u> equal 169, it is not a right triangle.
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Answer:
68%
Step-by-step explanation:
Probability of occurrence of Event v = P(v) = 28% = 0.28
Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19
We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)
The formula to calculate this conditional probability is:
Using the given values, we get:
Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%
Answer:
= 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
= 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
Answer: jason has 10 dimes and 5 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that he has.
Let y represent the number of quarters that he has.
He has twice as many dimes as quarters. This means that
x = 2y
Jason has $2.25 worth of dimes and quarters. This means that
0.1x + 0.25y = 2.25 - - - - - - - - - - - 1
Substituting x = 2y into equation 1, it becomes
0.1 × 2y + 0.25y = 2.25
0.2y + 0.25y = 2.25
0.45y = 2.25
y = 2.25/0.45
y = 5
x = 2y = 2 × 5
x = 10
Answer:
Any number with the 9 in the hundred thousands place for example, 905,556 or 956,214
Step-by-step explanation: