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3 years ago

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Grade 12 math need help with question 3

1 answer:

Alla [95]3 years ago

5 0

Answer:

mean. median. mode

2006. 4 4 4

2004. 6 6 6

2001. 5.75 5 none

Step-by-step explanation:

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1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

$P(X \geq 1) = 1 - P(X = 0)$

When $n = 30$

We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0

3 years ago

Determine whether the given value is a solution of the equation: x + 15 = 10; x=5 *

kobusy [5.1K]

Answer:

It is not correct, x = -5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

natima [27]

Answer: <

im sorry if this is wrong im not entirely sure :(

6 0

3 years ago

Read 2 more answers

Find last year's salary if, after a 5 %5% pay raise, this year's salary is $ 33 comma 075$33,075.

Anvisha [2.4K]

$33,075 = 0.05S + S

$33,075 = 1.05S

$33,075/1.05 = 1.05S/1.05

S= $31,500

Check

$31,500 * 5% = $1575 + $31,500 =$33,075

8 0

4 years ago

A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?

marshall27 [118]

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

4 0

3 years ago