All categories

2 years ago

Aaron, Bonny and Connor are playing a game with cards.

Mathematics

1 answer:

professor190 [17]2 years ago

6 0

Let the number of cards Aaron has : A

Given :

⊕ Bonny has twice as many cards as Aaron

⊕ Connor has 6 cards more than Bonny

⊕ Total cards : 101

⇒ Number of cards Bonny has : 2A

⇒ Number of cards Connor has : 2A + 6

⇒ Aaron cards + Bonny cards + Connor cards = 101

⇒ A + 2A + 2A + 6 = 101

⇒ 5A = 101 - 6

⇒ 5A = 95

⇒ A = 19

<u>Answer</u> : Aaron has 19 Cards

You might be interested in

Find the slope of the line passing through the points (-8,-8) and (2,-8)

san4es73 [151]

Answer:

The slope is -8 :)

Step-by-step explanation:

trust me

4 0

2 years ago

[Q71 Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters g = 71 inch and 02 = 6

viktelen [127]

Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

Step-by-step explanation:

Given that,

Height (in inches) of a 25 year old man is a normal random variable with mean $g=71$ and variance $o^{2} =6.25$ .

To find: (a) What percentage of 25 year old men are 6 feet, 2 inches tall

(b) What percentage of 25 year old men in the 6 footer club are over 6 feet. 5 inches.

Now,

(a) To calculate the percentage of men, we have to calculate the probability

P[Height of a 25 year old man is over 6 feet 2 inches]= P[X> $74in$ ]

P[X>74] = P[ $\frac{X-g}{o}$ > $\frac{74-71}{2.5}$ ]

= P[Z > 1.2]

= 1 - P[Z ≤ 1.2]

= 1 - Ф (1.2)

= 1 - 0.8849

= 0.1151

Thus, percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X, $6ft$ $5in$ - X, $6ft$ ]

P[X > $6ft$ $5in$ I X > $6ft$ ] = P[X > 77 I X > 72]

= $\frac{P[X > 77]}{P[ X > 72]}$

= $\frac{P[\frac{X - g}{o}>\frac{77-71}{2.5}] }{P[\frac{X-g}{o} >\frac{72-71}{2.5}] }$

= $\frac{P[Z >2.4]}{P[Z>0.4]}$

= $\frac{1-P[Z\leq2.4] }{1-P[Z\leq0.4] }$

= $\frac{1-0.9918}{1-0.6554}$

= $\frac{0.0082}{0.3446}$

= 0.024

Thus, Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

4 0

3 years ago

Timothy runs on a treadmill at an average speed of 5 meters per second. How many minutes does it take Timothy to run 2.4 kilomet

ruslelena [56]

It will take 8 minutes.
You use a proportion
5/1=2400/x you use 2400 because 2.4km=2400 meters and u need to use the same unit of measurement.
so cross multiplying gives you 5x=2400 which is equal to 480. BUT this is 48 seconds, and it asks you how many minutes, not seconds. So, you divide by 60 because there are 6 seconds in a minute, and you get 8.

6 0

2 years ago

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 10.3

user100 [1]

Answer:

Confidence interval for the true mean number of reproductions per hour for the bacteria is (10.1,10.5).

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 10.3

Population standard deviation, σ = 2.1

Sample size, n = 728

Alpha, α = 0.01