Answer:
Step-by-step explanation:
Since the phone costs $7 for 3 minutes i.e $7=3minutes
$x = 1 minute
$7 = 3x
x = 7÷3
x = $2.33
Answer:
The events "Spike passes chemistry" and "Spike passes mathematics" are not independent.
The probability that he fails both subjects = 0.37
Step-by-step explanation:
The probability of Spike passing Chemistry = P(Chemistry) = 0.35
The probability of Spike passing Mathematics = P(Mathematics) = 0.40
The probability of Spike passing both Chemistry and Mathematics = P(Chemistry,Mathematics) = 0.12
For the events "Spike passes chemistry" and "Spike passes mathematics" to be independent, P(Chemistry,Mathematics) should be equal to P(Chemistry) * P(Mathematics)
But P(Chemistry) * P(Mathematics)=0.35*0.40 =0.14
So the two events are not independent.
The Probability that he passes Chemistry or Mathematics is given by P(Chemistry) + P(Mathematics) - P(Chemistry,Mathematics)
= 0.35+0.40-0.12=0.63
So the probability that he fails both subjects is the complement of this, namely (1 - 0.63) = 0.37
Answer:
Step-by-step explanation:
Assuming ray NR is the middle one, the angles add up like this:
m∠MNR + m∠RNP = m∠MNP
Substituting the given relations, ...
-2(x -4) + (-(3x -2)) = -2 - (6x -2)
-2x +8 -3x +2 = -2 -6x +2 . . . . . eliminate parentheses
-5x +10 = -6x . . . . . . . . . . . . . . . collect terms
x +10 = 0 . . . . . . . . . . . . . . . . . . . add 6x
x = -10 . . . . . . . . . . . . . . . . . . . . . subtract 10
Then the angle of interest is ...
m∠RNP = -(3x -2) = -(3·(-10) -2) = -(-32)
m∠RNP = 32
The possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
<h3>What is the minor and major arc?</h3>
A major arc is an arc in the circle which measures less than 180° at the center of the circle, while a major arc is an arc that measures more than 180° at the center of the circle.
We know about the major and minor arc, therefore, from all the given options, 17°, 75°, and 149° are the measure of the angle that is less than 180°. Thus, these angles are will form the minor arc.
Hence, the possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
Learn more about Arc:
brainly.com/question/14732475
All you have to do is add all of the fractions up.