Answer: 2/3 left and 1/3 used
Answer:
<h3>
Any of them.</h3><h2>
a ∈ R</h2>
Step-by-step explanation:
-5x - 4y = 2a 4x - 5y = 2
-4y = 5x + 2a -5y = -4x + 2
y = (5x + 2a):(-4) y = (-4x + 2):(-5)
y = -⁵/₄x - ¹/₂a y = ⁴/₅x - ²/₅
m₁ = -⁵/₄, b₁ = -¹/₂a m₂=⁴/₅, b₂= -²/₅
-⁵/₄ ≠ ⁴/₅
Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.
Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
Where 
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
Step-by-step explanation:
The given information are;
The allowance Angelica earns for baby sitting = d dollars per week
The amount she receives as allowance = $10 per week
The amount she will have at the end of 5 weeks = (10 + d)·5
The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;
A = (10 + 25) × 5 = $175
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
We know that:
The markup is the price added to the cost price of goods...
To find the markup, we must multiply the percent increase by the original price (before markup).
So:
10,000 x 5% (or 0.05) = ?
10,000 (You do not have to follow my way of multiplying, do what is comfortable for u)
x 5 (Ignore the decimals then we move it after we get the answer)
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50,000 move the decimal back 2 places so it is 500
The final answer is:
The markup amount is $500...
