Answer:
x=9
y=
Step-by-step explanation:
This is a special type of triangle known as a 45-45-90 triangle.
The ratio for the sides of this triangle are x:x:x
Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.
The hypotenuse, however, is the value of one side multiplied by
.
In this case it is 9, so 9*
= 
Answer:
5 weeks
Step-by-step explanation:
Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.
To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60
Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:
(70)(.6) = 42
Therefore, Kendra saves $42 each week.
To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:
(210)/(42) = 5
All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Absolute value is a number's distance away from 0. So, all answers are positive. -4/25 is 4/25's away from 0, so your answer is -4/25. To clarify: if you have the absolute value of ANY number, it will always be the positive version of itself.
Answer:
0.087
Step-by-step explanation:
Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:
= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:
X₅ ~ Poisson (20 (5/60))
X₅ ~ Poisson (1.6667)
Formula for computing probabilities for Poisson is as follows:
P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!
P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)
P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)
P(X₅= 3) = (2.718^(-1.6667))0.46
P(X₅= 3) = 0.1889×0.46
P(X₅= 3) = 0.086894
P(X₅= 3) = 0.087
Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.
Answer: I think it's C
Step-by-step explanation:
(83-64)-(64+29)
83-64=19
64+29=93
<u><em>19x-93</em></u>