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lisabon 2012 [21]

3 years ago

13

ALGEBRAIC model that represents the following situation: "A local fair charges an entrance fee of $5, and costs $1.25 per ride.

1 answer:

Sergeu [11.5K]3 years ago

6 0

Answer:

y = 1.25x + 5

Step-by-step explanation:

The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.

y = mx + b

only rates that change is dependent on how many rides you go on.

so 1.25 is your slope, m

y = the amount you will spend

x = the amount of rides you go on

b = the cost to enter the fair -- this is fixed.

put the equation together

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According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million

ss7ja [257]

Answer:

$P_D=61.1*10^{-4}$

$R_r=480$

Step-by-step explanation:

From the question we are told that

Homicide rate in US $R_U=62.4\ per\ one\ million$

Homicide rate in Britain $R_B=1.3\ per\ one\ million$

Generally the equation for probability of homicide is mathematically given as

$P=\frac{R}{10^6}$

Generally the equation for probability of homicide in US is mathematically given as

$P_U=\frac{62.4}{10^6}$

$P_U=62.4*10^{-4}$

Generally the equation for probability of homicide in Britain is mathematically given as

$P_B=\frac{1.3}{10^6}$

$P_B=1.3*10^{-5}$

a)Generally the difference b/w the probabilities P_D is mathematically given as

$P_D=P_U-P_B$

$P_D=62.4*10^{-4}-1.3*10^{-5}$

$P_D=61.1*10^{-4}$

Therefore US annual homicide is $P_D=61.1*10^{-4}$ greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

$R_r=\frac{P_U}{P_B}$

$R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}$

$R_r=480$

3 0

3 years ago

If the sides of a right triangle are 6 feet and 8 feet, what is the length of the hypotenuse? *

fenix001 [56]

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

7 0

3 years ago

Read 2 more answers

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

Cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng

lyudmila [28]

Answer:

D. 4

Step-by-step explanation:

$V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4$

4 0

3 years ago

If the point (2,5) is on the graph of an equation, which statement must be

Hunter-Best [27]

Answer: D

Step-by-step explanation:

The values x = 2 and y = 5 make the equation true.

4 0

3 years ago