Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Answer:
x positive, y negative
Step-by-step explanation:
-60 is the 4th quadrant of the unit circle ( negative angles go clockwise from 0), so the x value is positive and the y value is negative.
The probability that a student participates in both sports and drama is
.
<h3>What is the formula for P(AUB), where A and B are any two events?</h3>
If
and
are any two events, then the probability of the joint event
is given by the following formula: 
Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.
Suppose
denotes that "a student participates in sports" and
denotes that "a student participates in drama".
So, we have
,
,
.
We want to find the probability that a student participates in both sports and drama i.e., we want to find
.
By the above formula, we obtain:

Therefore, the probability that a student participates in both sports and drama is
.
To learn more about probability, refer: brainly.com/question/24756209
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Answer: 3/10 probability
Step-by-step explanation:
We are telling the probability with tenths, so we can say that the probability of the meteoroid landing on Earth is 3/10.
If the surface area of the world is approximately 7/10, or 70 percent, water, there is approximately 3/10, or 30 percent, chance of the meteoroid hitting land.
I'm pretty sure, at least ^_^
Answer:
The slope is
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values