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Ymorist [56]
3 years ago
8

Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,

what is the ratio of green to red marbles?
1:3
1:4
3:1
4:1
Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Option C is correct

The ratio of green to red marbles is, 3 : 1

Step-by-step explanation:

As per the statement:

A bag contains 44 marbles, some red and some green.

⇒Total marbles = 44

If there are 11 red marbles.

then;

Green marbles = Total marbles - red marbles.

Substitute the given values we have;

Green marbles = 44 - 11 = 33

We have to find  the ratio of green to red marbles.

\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3 : 1

Therefore,  the ratio of green to red marbles is, 3 : 1

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2 years ago
The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviati
Stolb23 [73]

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

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Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

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= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

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P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

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ii) For 10 minutes

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z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

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= 0.5 - 0

= 0.5

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Answer:

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Step-by-step explanation:

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