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3 years ago

Can someone please explain how to do this i am so confused i just want to pass this class please :(

Mathematics

1 answer:

mash [69]3 years ago

7 0

Answer:

x=6√3

Step-by-step explanation:

In 30-60-90 triangles, if the hypotenuse is <em>x</em>, the longest leg is $\frac{x}{2}$ , and the shortest leg is $\frac{x\sqrt{3} }{2}$ .

If the longest leg is 6, then $\frac{x}{2} =6$

Multiply by 2,

$x=12$

If x=12,

$\frac{12\sqrt{3} }{2}$

$=6\sqrt{3}$

So, the shortest leg is 6√3.

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Solve the following:<br>4*2=x(mod6)

BigorU [14]

Answer:

x = 1,3

Step-by-step explanation:

$4 \times 2 = x$

$8÷6= x$

$= x = 1,3$

3 0

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.

3 0

3 years ago

Use the digits 0 - 9 to write five decimal numbers that arranged in ascending order.use each digit once in each decimal number.

Kryger [21]

Answer:

0.1, 2.3, 4.5, 6.7, 8.9

1.0, 3.2, 5.4, 7.6, 9.8

4 0

3 years ago

Which of the following is the solution to the equation 3 over 4y = 24?

Sophie [7]

3/4 y= 24

Multiply both sides of the equation by 4/3 (the reciprocal of 3/4) to be left with y.

4/3 × 3/4y = 24 × 4/3

y = 24 × 4/3

y = 32

Hope this helps!

5 0

3 years ago

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Find the equation of the line that fits the description (-7, -9) and has zero slope

nata0808 [166]

So it cuts the y axis at -9 as it has a gradient of 0.

Therefore y=-9 is the equation, as y=mx+c, it intercepts at -9 and has a gradient of 0, therefore y=0x-9 so y=-9.

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3 years ago