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3 years ago

Which statement is true regarding the functions of the graph?

Mathematics

1 answer:

gregori [183]3 years ago

4 0

Answer:

f(- 3) = g(- 3)

Step-by-step explanation:

f(x) and g(x) are equal at the point of intersection.

When x = - 3 , f(- 3) = - 4 and g(- 3) = - 4

Thus

f(- 3) = g(- 3)

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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

During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they so

Natalija [7]

Answer:

20%

Step-by-step explanation:

To find the percent increase lets first find the increase.

36-30 = 6

Now divide the increase by the original amount

6/30 = 1/5 = 20%

5 0

3 years ago

Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9.50. The tax was 6.2%.

Anvisha [2.4K]

The total amount of money Sandra paid for a slice of pizza with a side salad including tax is $10.089

<h3>How to find total price including tax</h3>

Price of slice of pizza with a side salad = $9.50
Tax = 6.2%

Total amount Sandra paid = Price of slice of pizza with a side salad + (Tax × Price of slice of pizza with a side salad)

= 9.50 + (6.2% × 9.50)

= 9.50 + (0.062 × 9.50)

= 9.50 + 0.589

= $10.089

Therefore, the total amount Sandra paid is $10.089

Learn more about percentage:

brainly.com/question/843074

3 0

2 years ago

Make r the subject of the formula <br>v = \pi \: h {}^{2}(r - \frac{h}{3})v=πh2(r−3h) <br>

mel-nik [20]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

7 0

3 years ago

What are some examples of The Golden Ratio in nature, art, human body and geometry?

Klio2033 [76]

Pi & Phi in the human body. nautilus shells, Sunflowers, Seahorses, Pine Cones, Fibonacci Sequence etc.

3 0

3 years ago