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san4es73 [151]
3 years ago
7

What is the slope of the line graphed below? (-1,3) (-2,-1)

Mathematics
2 answers:
ycow [4]3 years ago
7 0

Answer:

m=4

Step-by-step explanation:

3-(-1)/-1-(-2)=3+1/-1+2=4/1

mrs_skeptik [129]3 years ago
4 0

Answer:

4

Step-by-step explanation:

Slope formula:

     ↓

\frac{\huge Y_2-Y_1}{\huge X_2-X_1}=\frac{Rise}{run}

Y_2=(-1)\\Y_1=3\\X_2=(-2)\\X_1=(-1)\\

\frac{(-1)-3}{(-2)-(-1)}=\frac{-4}{-1}=4

<em>Therefore, the slope is 4.</em>

<em>4 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day! </em>

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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
IF YOU ANSWER THIS I WILL GIVE YOU BRAINLIEST!! 21PTS
vovangra [49]
<span>200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have. 
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours

225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours. 

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705
705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians. 


</span>
4 0
3 years ago
For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
mixas84 [53]

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = 3π or 9.42 inches

4 0
3 years ago
The diagram shows four graphs match the graphs to the equations
cluponka [151]

Answer:

y=x^2 is graph D

y=1/x is graph A

otherwise, you're right

7 0
3 years ago
У
katrin2010 [14]

AnsweI'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my headr:

Step-by-step explanation:

8 0
3 years ago
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