How to convert 2.4 to radical form

1 answer:

6 0

To convert 2.4 into a radical you have to write the equation;
2.4=√x; then you square both sides, to get x by itself, resulting in 5.8; and then you have to write; "2.4 in radical form is the square root of 5.8

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Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se

Katyanochek1 [597]

Answer:

120 days

Step-by-step explanation:

Canteen A = 12 days

Canteen B = 8 days

Canteen C = 10 days

How many days later will all three canteen serving noodles soup again?

To find the number of days all 3 canteens will serve food again, find the lowest common multiples of all 3 canteens

Canteen A = 12 days

34, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Canteen B = 8 days

16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

Canteen C = 10 days

20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

The lowest common multiple of 12 days, 8 days and 10 days is 120 days

The next day all 3 canteens will serve soup together again is the next 120 days

3 0

2 years ago

Suppose X is the breaking strength (newtons) of a material, and X is normally distributed with

Veronika [31]

Answer:

a) 0.997 is the probability that the breaking strength is at least 772 newtons.

b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 800 newtons

Standard Deviation, σ = 10 newtons

We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( breaking strength of at least 772 newtons)

$P(x \geq 772)$

$P( x \geq 772) = P( z \geq \displaystyle\frac{772 - 800}{10}) = P(z \geq -2.8)$

$= 1 - P(z$

Calculation the value from standard normal z table, we have,

$P(x \geq 772) = 1 - 0.003 = 0.997 = 99.7\%$

0.997 is the probability that the breaking strength is at least 772 newtons.

b) P( breaking strength of at least 772 but not more than 820)

$P(772 \leq x \leq 820) = P(\displaystyle\frac{772 - 800}{10} \leq z \leq \displaystyle\frac{820-800}{10}) = P(-2.8 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2.8)\\= 0.977 - 0.003 = 0.974 = 97.4\%$