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user100 [1]
3 years ago
15

Bert decided to start exercising. The first day he jogged for 25 minutes. The next day he wanted to jog for 4 minutes more than

the previous day. He wanted to continue increasing by the same amount like this for every one of the 30 days in April.
Write an explicit formula to find the number of minutes that Bert ran on any day in April.
Mathematics
1 answer:
vova2212 [387]3 years ago
8 0
25 + 4x where x equals the number of days
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How do i simplify 4x - 6(7+4x)​
sdas [7]

Answer:

-42-20x

Step-by-step explanation:

Use PEMDAS, which is:

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

So first you would open parenthesis:

4x-42-24x

Then combine like terms:

4x-24x=-20x

Your answer would be -42-20x.

<em>~Stay golden~ :)</em>

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2 years ago
A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

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#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=\frac{P(a \ and\  b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0
3 years ago
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