In the number 38. 7165, what number is in the hundredths position?
1 answer:
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Answer:
Step-by-step explanation:
When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40.
Out of these, we need to look for one that we can find the square root of.
We know that the square root of 4 is 2.
Therefore, we can make into
.
The square root of 4 is 2. Therefore, we can put that outside the radical.
.
Hope this helped!
Answer:
2 hours, 150 miles
Step-by-step explanation:
The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.
<h3>Separation distance</h3>Jason got a head start of 20 miles, so that is the initial separation between the two drivers.
<h3>Closure speed</h3>Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.
<h3>Closure time</h3>The relevant relation is ...
time = distance/speed
Then the time it takes to reduce the separation distance to zero is ...
closure time = separation distance / closure speed = 20 mi / (10 mi/h)
closure time = 2 h
Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.
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<em>Additional comment</em>
The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.
Answer:
The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000
Step-by-step explanation:
Given as :
The total amount to be invested as bonds and certificates of deposit (CD) = $76,000
Let the amount invested as bonds = $ x + $6000
And The amount invested as CD = $ x
Now, According to question
The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000
Or, $ x + $ x + $6000 = $76,000
Or, $ 2x = $76,000 - $6000
So, $ 2x = $70,000
∴ x = = $ 35,000
And $ x + $6000 = $ 35,000 + $6000 = $ 41,000
Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
=>
Here C stand for combination
=>
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
=>