Answer:
Step-by-step explanation:
During the breaststroke competitions of a recent olympics, Nelson diebel swam 100 meters in 62 seconds, this means that his unit rate would be 100/62 = 1.61 meters per second.
Mike bower man swam 200 meters in 130 seconds. This means that his unit rate would be 200/130 = 1.54 meters per second. The rate of 1.61 meters per second is higher than the rate of 1.54 meters per second. Therefore, Nelson diebel swam at a faster rate.
This sequence be represented as a recursive equation by a1=8 and an=2a1
<u>Step-by-step explanation</u>:
- 'Recursive' refers to the repetition of a specific process in a sequence.
- The given sequence is {8,16,32,64}.
- If the value is 2 times the previous value, then an=2a(n-1)
Let a1=8,
then a2 = 2a(2-1)
⇒ a2 = 2a1
⇒ a2 = 2(8)
⇒ a2 = 16
Similarly,
For a2=16,
⇒ a3 = 2(a2)
⇒ a3 = 2(16)
⇒ a3 = 32
For a3=32,
⇒ a4 = 2(a3)
⇒ a4 = 2(32)
⇒ a4 = 64
∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.
Answer:
y + 7.8 = 25.2
y = 17.4
Step-by-step explanation:
y + 7.8 = 25.2
(now we solve the equation .... we substract 7.8 from each side of the equation )
y = 25.2 - 7.8
y = 17.4
Answer:
The answer is 12.64 ft.
Step-by-step explanation:
From the figure it is clear that slope is the hypotenuse which we have to find while the other two sides are legs of the triangle whose lengths are known.
so the pitch of the roof is 12.64 ft. i explained in the figure below as well.
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, 
"Comprehensive strength of concrete". We have information that 
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, 
.
We want to know the probability of the mean of X or 
that falls in the interval ![[2499;2510]](https://tex.z-dn.net/?f=%5B2499%3B2510%5D)
. From inference theory we know that :
Now we can find the probability as follows:
Where 
, then:
