Answer:
r = 24
Step-by-step explanation:
3(r+2)+5(2−r)=−32
Step 1: Simplify both sides of the equation.
3(r+2)+5(2−r)=−32
(3)(r)+(3)(2)+(5)(2)+(5)(−r)=−32(Distribute)
3r+6+10+−5r=−32
(3r+−5r)+(6+10)=−32(Combine Like Terms)
−2r+16=−32
−2r+16=−32
Step 2: Subtract 16 from both sides.
−2r+16−16=−32−16
−2r=−48
Step 3: Divide both sides by -2.
−2r/-2 = -48/-2
r = 24
Answer:
1. m=- -1 2. -1+1
Step-by-step explanation:
Ok for the first one you need to label 3 x1 0 y1 6 x2
and -3 y2
Next you need to do y2-y1 over x2-x1 so fill that in and your equasion is (-3-0)
------------ = -3
( 6-3) ----
3
That reduces to -1 because -3 divided by 3 is -1
As for number 2 we need to find b to do this pick any of the y's from before we can go with 0 so the 0 is y in the equasion and we already learned slope is -1 so your equasion should be 0=--1+b ok to solve this you need to add -1 to both sides since its a negitive so you add 1 to 0 which is 1 and when you add 1 to -1 it cancells it out so you have 1=b so b is 1 for the equsion you just fill it in so it is y=- -1+1
I hope I helped
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
estimated proportion of defectives from the company B
is the value to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Answer:
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Solution is : <u>2p</u> .