Answer:
a) Buddy's Unit rate is 11 minutes per 1 mile.
Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.
A unit rate is the amount per one unit.
b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.
Step-by-step explanation:
a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.
Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.
Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.
b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.
Step-by-step explanation:
Area of shaded region = area of exterior rectangle - area of interior rectangle
The information given about the probability shows that the cardinality of D is 18.
<h3>How to calculate the probability?</h3>
From the complete information, the number of red-colored cards is 26.
Also, the number of red-colored number cards will be 18.
The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.
Here, the cardinality of set D is 18.
Here is the complete question:
Take a deck of playing cards. Form following sets out of those:
A = Set of Face Cards
B = Set of Red Coloured Face cards
C = Set of Black Coloured Face Cards
D = Set of Red Coloured Number Cards
Find the Cardinality of set D
Learn more about probability on:
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Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
