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3 years ago

Through: (4,-4), slope= 1/4

Mathematics

2 answers:

liq [111]3 years ago

8 0

Answer:

(0,-3) I think

Step-by-step explanation:

The way I learned it 1/4 is the rise over run. so you are at your point and you go up one unit and then left or right 4 units.

SSSSS [86.1K]3 years ago

5 0

First off you'll want to find the equation for a line that passes through the point (4,-4) and has a slope of 1/4. You can use the formula y=mx+b

m is the slope, and

b is the y-intercept

So right now we have this...y=1/4x+b.

We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-4). So, why not plug in for x the number 4 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!

(4,-4). y=mx+b or -4=1/4 × 4+b, or solving for b: b=-4-(1/4)(4). b=-5.

The equation of the line that passes through the point (4,-4) with a slope of 1/4

is y=1/4x-5, now you'll need to graph it, I'll just put a picture in.

Hope this helps you, have a BLESSED and wonderful day, as well as a safe one!

-Cutiepatutie ☺❀❤

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FromTheMoon [43]

Answer:

4.5 i believe correct me if i'm wrong

Step-by-step explanation:

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3 years ago

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

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3 years ago

Sara buys 3 of the same type of dress, but in different colors. If she spends a total of $80.34, how much does each dress cost?

Musya8 [376]

Answer:

80.34 / 3 = 26.78

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3 years ago

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Answer:

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san4es73 [151]

Answer:

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3 years ago