<u>Answer:</u>
An equation that relates the speeds of the two legs of the trip

<u>Explanation:</u>
Given, we have to use x to represent the speed on the second leg
Speed on first leg when increasing your speed by 40 mph will be (x-40)
Distance is given as 640 miles and time is calculated as

According to the question, increasing speed saved four hours
Therefore, the equation that relates the speeds of the two legs of the trip will be

Answer:
The correct answer is +45; -18; -7.
Step-by-step explanation:
Parvana records the transactions for her bank account for the week .
On Monday, Parvana deposited $45. Thus Parvana made an addition of $45 in her account. Therefore a +45 integer is used to represent this transaction into her account.
On Tuesday she used her debit card to $18 for a new shirt. Thus Parvana made a deduction of $18 from her account. Therefore a -18 integer is used to represent this transaction into her account.
On Thursday she withdrew $7 from an ATM. Thus Parvana made a deduction of $7 from her account. Therefore a -7 integer is used to represent this transaction into her account.
Thus the integers +45; -18 and -7 are used to represent transactions in Parwana's account.
Answer:
Height=12 Units
Step-by-step explanation:
Given a parallelogram with base b, and a perpendicular height, h. The area of the parallelogram is derived using the formula:
Area of a parallelogram=Base X Perpendicular Height
Given an area of 72 Units Squared.
Since I am not certain of the length of the base given:
If b=6
Area=bh
72=6h
Dividing both sides by 6
h=12 Units.
Height=12 Units
You can use the given formula to solve for the height,h of the parallelogram given any base b.
Answer
456
Step-by-step explanation:
Answer:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Step-by-step explanation:
We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:
The probability mass function for the Binomial distribution is given by:
Where (nCx) means combinatory and it's given by this formula:
For this problem we want to find this probability:

And usign the probability mass function defined before we got:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%