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vazorg [7]
3 years ago
13

3

formula">+7.1=2.5b+11.5
Mathematics
1 answer:
vlada-n [284]3 years ago
8 0
( \beta +7.1=2.5b+11.5)*10 \\ 10b+71=25b+115 \\ 10b-25b=115-71 \\ -15b=44 \\ b= \frac{-44}{15}
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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.

-If he does not, 3% of molds are defective.

#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
What is -7 + -9 A. -16 B. -2 C. 2 D. 16​
nataly862011 [7]

Answer:

is A. -16

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
And animals weight change from 12 pounds to 16 pounds what was the percent increase to the nearest whole number
amm1812
That's a 33% increase.

I calculated this using the formula:

\frac{|n-o|}{o} * 100

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase.  You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.  

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.


5 0
3 years ago
A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her gam
Black_prince [1.1K]

Answer:

The type of driver

Step-by-step explanation:

The term known as '' response variable'' is use in describing a variable that changes when you alter an examination or a test. Just like its name implies, it is the ''response'' that one gets when the other variable that is the Explanatory Variable are being altered.

In this question, the golfer will have to be changing the type of drivers that she is using in order to be able to know whether these changes in drivers will increase her game performance. Hence, the Explanatory Variable is the type of driver in which the golfer changes which is being use to define the performance of the golfer.

4 0
2 years ago
A company charges $85 per hour for jet ski rentals plus $7 per hour for fuel. Their competition charges $84 per hour plus a flat
loris [4]
85x + 7x= 84x + 40

Simplified further

92x = 84x + 40
7 0
3 years ago
Read 2 more answers
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