Answer:
1/13 (1 in 13)
Step-by-step explanation:
so, there's 4 aces in a standard deck of 52 cards.
so far, we can see this as 4/52 (4 in 52)
these are both divisible by 2, lets go ahead and simplify that to 2/26
still divisible by 2. this then becomes 1 /13
so, she has a 1/13 (1 in 13) chance to get an ace.
Answer:
Step-by-step explanation
subtract 8 from both sides
8-2x-8=-4x+4-8
simplify
-2x=-4x-4
add 4x to both sides
-2x+4x=-4x-4+4x
Simplify
2x=-4
divide both sides by 2
2x/2=4/2
simplify
x=-2
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
1.2 ÷ 3 = 0.4 meters each
0.4 meters = 40 cm
40 cm = 400 mm
therefore,
Carlos must cut each piece of wood 400 mm each.
Hope this helps and have a great day! :D
Answer:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.
Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
