For the 60°'s topmost line, you can find the angle next to it is 120° because it's a straight line. You can do the same for 95° if you put that the angle opposite it is equal already because it's the opposite angle, so you subtract from 180° again to get 85°. When you extend the lines, you can find the alternate interior angles to the 60° and 85°, which are congruent to them. You then get that for both the formed triangles there is one 85° and one 60°, which together with one more angle should equal 180°. Through knowing that the sun of the triangles angles should be 180°, if you subtract the sum of 60° and 85° from 180°, you get the angle of the 3rd angle in the triangles (35°). This angle also forms 180° with x on a line, so 180°-35°=x, which is 145° seemingly.
The probability of one success and one failure will be 4/9. Table C represents the probability distribution for the variable X.
<h3>What is probability?</h3>
The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The dials on the spinner are spun 2 times in a row.
P(dial lands on region)=P(success) = 2/3
P(failure) = 1/3
The probability that the two times dials on the spinner are not spun 2 times in a row.
P = (1/3)² = 1/9
The probability that the two times dials on the spinner are spun 2 times in a row.
P = (2/3)²= 4/9
One may calculate the probability of one success and one failure using the binomial distribution or by simply deducting the probabilities we previously determined from 1.
P = 1 - 1/9 - 4/9
P = 4/9
The probability of one success and one failure will be 4/9.
Hence table C represents the probability distribution for the variable
X.
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Answer:
24 right handed students
Step-by-step explanation:
1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.
2. Multiply 30 by 1/5 to get 6 left handed students in the class.
3. Take the 30 students in the class and subtract the 6 left handed students.
4. The remaining 24 students must be right handed.
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Given : Initial deposit or the principal amount = $ 9000
Rate of interest = 3.1 %
Compound interest annually
= principal (1 + r/ 100)^t
here put value principal rate and time period 1, 5 10 and 20 years
and we get the amount for each time period
than for interest = amount - principal we get interest
as that we calculate all value:
given in the attachment
<h3>When do we use compound interest ?</h3>
When interest on a balance in a savings or investment account is reinvested, you receive compound interest, which results in higher interest payments. Money makes money, a wise man once said. And money makes money by making more money. Compound interest speeds up the long-term growth of your savings and investments.
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Answer:
- 9
Step-by-step explanation:
Substitute x = - 3 into the expression
(- 3)² - 2(- 3) - 24
= 9 + 6 - 24
= 15 - 24
= - 9
