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ZanzabumX [31]
3 years ago
14

(15 POINTS)

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

<h2>x = -1 or x = 6</h2>

Step-by-step explanation:

x^2-5x-6==\\\\x^2+x-6x-6=0\\\\x(x+1)-6(x+1)=0\\\\(x+1)(x-6)=0\iff x+1=0\ \vee\ x-6=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\x-6=0\qquad\text{add 6 to both sides}\\\boxed{x=6}

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I need help with this
Contact [7]

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

8 0
3 years ago
6. If y = 27 when x = 8, find y when x = 11.​
schepotkina [342]

Answer

y=27/8x; 37.125

5 0
3 years ago
Read 2 more answers
The area of a rectangular dining room is 108ft squared and the length is 12ft. What is the width of the dining room?
Sveta_85 [38]

The width is 9.

Explanation: Because area is length times width, you need to divide area (108 ft) by length (12 ft) to get width. 108/12 is 9.

3 0
3 years ago
PLZ HELP ME!!!!!!!!!!!
Nana76 [90]

1. 12/32

2. Divide by 4 on both denominator and numerator

3. Final answer is 3/8

Hope that helps :)

8 0
4 years ago
The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol
mamaluj [8]

Answer:

a) E(A)=\frac{0+50}{2}=25 min

Sd(A) =\sqrt{208.3333 min^2}=14.43 min

b) P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5

Step-by-step explanation:

Part a

Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

A\sim Uniform(a=0 ,b=50)

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50

For ths uniform distribution the expected value is given by E(X) =\frac{a+b}{2} where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

E(A)=\frac{0+50}{2}=25 min

And the variance is given by:

Var(A)= \frac{(b-a)^2}{12}=\frac{(50-0)^2}{12}=208.3333 min^2

And the standard deviation by definition is just the square root of the variance:

Sd(A) =\sqrt{208.3333 min^2}=14.43 min

Part b

If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.

For this case we want to find this probability: P(A>25)

And we can find this probability using the complement rule like this:

P(A>25) = 1-P(A\leq 25)

And we can use the cumulative distribution function given by:

F(A) = \frac{A-a}{b-a}

And we got:

P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5

5 0
3 years ago
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