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3 years ago

11

solve the average time for a student to complete this quiz is 24 24 minutes with a standard deviation of 2 minutes. What is the

range of minutes needed for the middle 99.7% of the quiz timee?

1 answer:

LuckyWell [14K]3 years ago

3 0

Answer:

The correct answer is "(18, 30) minutes".

Step-by-step explanation:

Mean,

= 24

Standard deviation,

= 2

The range of minutes where 99.7% of individuals completed the quiz will be:

= $Mean \pm 3\times Stdev$

On substituting the values, we get

= $24 \pm 3\times 2$

= $24 \pm 6$

now,

= $24-6$

= $18$

Or,

= $24+6$

= $30$

i.e., 18 to 30 minutes

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Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

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3 years ago

Geometry number 11 only need help on

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Step-by-step explanation:

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3 years ago

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

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3 years ago