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nikitadnepr [17]
3 years ago
8

what is an equation in point-slope form of the line that passes through the given point and with the given slope m (-5,1);m=4

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Equation for line: y=mx+b where m is the slope and b is the y-intercept

We have the slope. We just need to find the y-intercept. Plug in the point and the slope and solve for b.

y=mx+b

1=4(-5)+b

b=21

Answer: y=4x+21

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We first need to find the distance.
The information about Mike will provide the distance we need to answer the question about Pedro.

We will use D = rt

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22.1 = (19/5)t

We need to find t.

22.1 ÷ 3.8 = t

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We now round off as instructed.

5.82 = t

It took Pedro 5.82 hours to reach the lake.
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In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been p
Illusion [34]

Answer:

The right answer is:

(a) 0.1456

(b) 18.125, 69.1202, 8.3139

Step-by-step explanation:

Given:

N = 24

n = 5

r = 7

The improperly drilled gearboxes "X".

then,

⇒ P(X) = \frac{\binom{7}{x} \binom {17}{5-x}}{\binom{24}{5}}

(a)

P (all gearboxes fit properly) = P(x=0)

                                               = \frac{\binom{7}{0} \binom{17}{5}}{\binom{24}{5}}

                                               = 0.1456

(b)

According to the question,

X = 91+5

Mean will be:

⇒ \mu = E(x)

       =E(91+5)

       =9E(1)+5

       =9.\frac{nr}{N}+5

       =9.\frac{5.7}{24} +5

       =18.125

Variance will be:

⇒ \sigma^2=Var(X)

         =V(9Y+5)

         =81.V(Y)

         =81.n.\frac{r}{N}.\frac{N-r}{N}.\frac{N-n}{N-1}

         =81.5.\frac{7}{24}.\frac{24-7}{24}.\frac{24-5}{24-1}

         =69.1202

Standard deviation will be:

⇒ \sigma = \sqrt{69.1202}

       =8.3139      

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