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2 years ago

11

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling

a number less 3?

1 answer:

vredina [299]2 years ago

4 0

Since there is only 2 numbers smaller than 3 on the die it would be 2 out of 12

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How do you solve / figure 8 x 51<br> (Distributive property)

Step2247 [10]

8(51)

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=(8*50)+(8*1)

=(8*5*10)+(8*1)

=400+8

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3 years ago

A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the

Lostsunrise [7]

Answer: $5.7\ cm$

Step-by-step explanation:

Given

Rectangle has an area of $19.38\ cm^2$

Suppose rectangle length and width are $l$ and $w$

If each side is increased by $1.50\ cm$

Area becomes $A_2=35.28\ cm^2$

We can write

$\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)$

Substitute the value of width from (ii) in equation (i)

$\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7$

Width corresponding to these lengths

$w=5.7,\ 3.4$

Therfore, we can write the length of the longer side is $5.7\ cm$

8 0

2 years ago

How do you solve this compound inequality???? Please show work!!! Thanks!!

svet-max [94.6K]

5n - 1 < -16

Add 1

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add 1

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3 years ago

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DanielleElmas [232]

Answer:

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

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~~~~~~~~~~~~~~~~~~~

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2 years ago

What is the product?<br> 3 x [1 -4 5 -7]

Roman55 [17]

This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.

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6 0

3 years ago