Answer:
0.0652173
Step-by-step explanation:
Given that :
6 chocolate chip cookies
6 peanut butter cookies
6 sugar cookies
6 oatmeal cookies
Total number of cookies purchased = (6+6+6+6) = 24
Probability, P= required outcome /total possible outcomes
This is a selection without replacement probability problem :
P(peanut butter cookies) = 6/24 = 1/4
Then ;
P(chocolate chip cookie) = 6/23
Hence,
P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173
9514 1404 393
Answer:
x = 1 or 5
Step-by-step explanation:
The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

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<em>Comment on "cross multiply"</em>
Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.
What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

Answer:
d^2 = 30^2 + 12^2
e^2 = d^2 + 8^2
e^2 = 30^2 + 12^2 + 8^2
e = √(30^2 + 12^2 + 8^2) = 33.3 ft
Answer:

Step-by-step explanation:
Given the number: 1400
A number is said to be prime when it can only be divided by 1 and itself.
We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

The sides must be equal otherwise BC and AD wouldn't be parallel. So
12x-6 = 2x+7
10x = 13
x = 13/10 = 1.3