Answer:
This equation has no solution.
Step-by-step explanation:
Perform the indicated multiplication: 5(y+1)-7 = 3(y-1)+2y
We get 5y + 5 - 7 = 3y - 3 + 2y. Subtracting 5y from both sides yields -2 = -3, which is never true. This equation has no solution.
Answer:
The slope is ( d-b)/ ( c-a)
Step-by-step explanation:
To find the slope we can use the slope formula
m = ( y2-y1_/(x2-x1)
= ( d-b)/ ( c-a)
Answer:
0.8% is a probability that a calculator chosen at random will be defective
Step-by-step explanation:
Probability of any event is given by:
where, A is any event.
As per the statement:
In a batch of 960 calculators, 8 were found to be defective.
here,
A = Defective calculator.
⇒Number of defective calculator = 8
and
Total number of outcomes = 960 calculators.
then by definition we have;
Simplify:
= 0.833333333 %
Therefore, a probability that a calculator chosen at random will be defective to the nearest tenth place is, 0.8 %
Green eyes.
Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.
So, root 21 × root 3 equals root 63.
Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .
3√7 is the simplified value of the given expression.
To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.
√3 * √21 = √(3 * 21)
Simplifying the product inside the radical:
√(3 * 21) = √63
Now, we can simplify further by factoring 63 into its prime factors:
√(3 * 21) = √(3 * 3 * 7)
Taking the square root of each factor:
√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7
Therefore, √3 * √21 simplifies to 3√7.
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