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frosja888 [35]
3 years ago
5

Dasfghg help me!!!!!!

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root

x+6=+/-√5


so what you want to write is
x+6=√5 and
x+6=-√5

the solutions
minus 6 both sides

x=-6+√5 and -6-√5
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An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
Whitepunk [10]

Answer: \mu=2.88\ \&\ \sigma^2=0.115

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

\mu=np\\\\\sigma^2=np(1-p)

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

4 0
3 years ago
An element with mass 670 grams decays by 27.3% per minute. How much of the element is remaining after 9 minutes, to the nearest
ArbitrLikvidat [17]
There will be 38 grams remaining.

The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time.  Using our values from the problem, we have:

y = 670(1-0.273)^9 = 670(0.727)^9 = 38
6 0
3 years ago
Read 2 more answers
Is -9 a solution of -9f=90-f
Fantom [35]

Answer:

f = -11.25

Step-by-step explanation:

-9f = 90 - f

-8f = 90

f = 90 / -8

f = -11.25

6 0
3 years ago
Translate "The product of the cube root of 5 and X^ prime prime into an algebraic expression
svp [43]

Answer:

Le produit de la racine cubique de 5 et de X ^ prime prime en une expression algébrique: french, youre welcome.

Step-by-step explanation:

5 0
2 years ago
the distance from jeffreys bay knysna is 198km .A driver is 11:at knysna. calculate the drivrs average speed​
zavuch27 [327]

Answer:

18km/[unit of time]

Step-by-step explanation:

v (speed) = d/t

v = 198/11

v = 18

8 0
2 years ago
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