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2 years ago

What is the slope of the line represented by the equation? –2x + y = –1

Mathematics

2 answers:

Harrizon [31]2 years ago

8 0

Isolate the y to one side so we get: y = 2x - 1
The slope of the line is 2.

telo118 [61]2 years ago

3 0

Answer:

The the slope is 2.

Step-by-step explanation:

2x+y-y=-1-y

2x=-1-y

\frac{2x}{2}=-\frac{1}{2}-\frac{y}{2}

\frac{-1-y}{2}

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On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let X denote delivery time of the mail delivered by Alice and Y denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, p = 1/4.

The probability that Bob delivers the mail is, q = 3/4.

The probability density function of a Uniform distribution with parameters [a, b] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

5 0

3 years ago

P = 215(1.005)t/3

Reil [10]

Answer:

(D) 36

Step-by-step explanation:

0.5% = 0.5/100 = 0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3 = 1

t = 3 years

Convert years to months.

n = 3 ⋅ 12 months

n = 36 months

The correct option is D.

Thanks!

Mark me brainliest!

6 0

2 years ago

Which is the solution to the equation below? 9=n+3

Lyrx [107]

9=n+3
Subtract 3 on each side

n=6

3 0

3 years ago

Read 2 more answers

What is the cosine of 122.2

Juli2301 [7.4K]

cosine 122.2 = -0.532876276......

6 0

3 years ago

Suppose b= 2a-16 and b= a+2. What is the value of a?

galina1969 [7]

Subsitute
2a-16=b=a+2
2a-16=a+2
subtract a from boths ides
a-16=2
add 16
a=18

5 0

3 years ago