Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
192 orders
Step-by-step explanation:
All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.
If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.
The temperature on Tuesday afternoon is below 38 degrees Fahrenheit. As it states in the question the temperature on Tuesday morning was 27 degrees Fahrenheit and rose 10 more degrees at noon. Which makes is 37 degrees Fahrenheit at noon on Tuesday. You get this by taking 27 degrees and adding 10 degrees.
First we need to find out the time it took for the truck to reach town B.
Now, because the van left 1.5 hours earlier and reached the destination 2.5 hours before, it took 1 hour less the the truck to arrive.
which is the time it took for the van to arrive.
Now we use the speed equation again to work out speed.
= speed of van
Hope this helped :)
Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
