USING PYTHAGORAS THEORAM,
x²+3²= 5²
x²+9= 25
x²= 25-9 = 16
x= √16
x= 4
OPTION D
Cara and Jena, working together, can clean the house in 4
1 answer:
Answer:
hrs/house
Step-by-step explanation:
Rate is the amount of work done per unit of time;
Let Cara's rate = C
Let Jena's rate = J
C + J = 4 ------ i
Now;
Working alone:
Jena takes twice as long as Cara
J = 2C ---- i
How long does it take Cara to clean a house alone
C + J = 4
J = 2C
C + 2C = 4
3C = 4
C = hrs/house
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Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:
If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is . So:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
8x + 6 - 2x = 34x
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
= x
Simplify to 
:
= x
Now switch sides and the answer is:
x =
:) <3
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
Simplify
Now switch sides and the answer is:
x =
:) <3
Answer:
Step-by-step explanation:
<h2>We can't solve it but we can simplify</h2>- 1/4x+1+3/4c-2/3-1/2x, try to move the equation around. Since the operations are in the same level we can do that.
- 1/4x-1/2x+(1-2/3)+(3/4c), 1/4 minus 1/2 can be written as 0.25-0.50 which is -0.25 or -1/4 don't forget to add x (we can do this since there like terms)
- -1/4x+(1-2/3)+(3/4c), now we can convert 1 into a fraction which will become 3/3, so we can rewrite is as 3/3-2/3, which is 1/3
- -1/4x+1/3+3/4c, We can't simplify anymore so this is our final answer.