Answer:
Step-by-step explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;
Multiply equation 1 by 2;

Subtract equation 2 from equation 3;


divide both sides by 8

Since we have the value of x, let substitute into equation 1 to get y;

therefore , the cost of cupcakes and cookies are;

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Y = |x - 21| represents an absolute value function.
Answer:
0.095163
Step-by-step explanation:
given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999
Here we find that for any start, there are exactly two outcomes either success or failure.
Also each start is independent of the other since p = 0.99999 for succss is given constant.
Thus X no of successes is binomial with p = 0.99999 and n =10000
If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000
Required probability
= the probability of at least one failure in the next 10,000 starts
= 1-P(no failure in 10000 starts)
=
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
Answer: D. 0.8125
Step-by-step explanation: His expenses is $975, and his salary is $1200. Divide the expenses by the salary to find the debt-to-income ratio.
975/1200 = 0.8125
The debt-to-income ratio is 0.8125.