Answer:
60 m/h
Step-by-step explanation:
1. the basic formula is Time=Distance/Speed;
2. total time is time1 (for 84 miles)+time2 (for 130 miles)=time (4 hours);
3. the time for the first 84 mi. is time1=84/S;
4. the time for the rest 130 mi. is time2=130/(S-10);
5. using all the data of items 2-4, it is possible to substitute into the basic formula and resolve an equation:
note, that the value of speed has one condition: s>10. It means, the only value is true: 60 miles per hour.
Answer:
The probability that MicroTech will beat the competition with its new computers is 0.994
Step-by-step explanation:
Consider the provided information.
MicroTech has funded three separate design teams to create the new systems.
The Probability of team A will come up with acceptable design is 90% or 0.9
The Probability of team B will come up with acceptable design is 80% or 0.8
The Probability of team C will come up with acceptable design is 70% or 0.7
The probability of non of them will be able to come up with acceptable design = (1-0.9)×(1-0.8)×(1-0.7) = 0.1×0.2×0.3 = 0.006
Thus, the probability that MicroTech will beat the competition with its new computers is:
1-0.006 = 0.994
Hence, the required probability is 0.994
Answer:
Step-by-step explanation:
In a pen there are 200 animals,
25 of which are ducks,
Number of turkeys
50% are turkeys
= 50% × 200
= 100 turkeys
and
Numbers of chickens
75% are chickens.
= 75% × 200
= 150
How many animals are ducks, turkeys and chickens?
Answer:
(3x2 + 1) • (4x - 1)
Step-by-step explanation:
Equation at the end of step 1 :
(((12 • (x3)) - 3x2) + 4x) - 1
Equation at the end of step 2 :
(((22•3x3) - 3x2) + 4x) - 1
Checking for a perfect cube :
12x3-3x2+4x-1 is not a perfect cube
Trying to factor by pulling out :
Factoring: 12x3-3x2+4x-1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 4x-1
Group 2: 12x3-3x2
Pull out from each group separately :
Group 1: (4x-1) • (1)
Group 2: (4x-1) • (3x2)
-------------------
Add up the two groups :
(4x-1) • (3x2+1)
Final result :
(3x2 + 1) • (4x - 1)
6 is the correct answer because the thousandths place is a number of 5 and above, which means you move the hundredths place value up by 1. Because the hundredths place value is 9, moving it up by 1 would mean that 0 becomes the place value for the hundredths place and one is added to the tenths place. And because 9 is also the place value of the tenths place, the tenths place becomes 0 and 1 is added to the ones place.
