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3 years ago

5

Predict how many times you will roll a number less than 5 if you roll a standard number cube 200 times. Round to the nearest int

eger, if necessary.

1 answer:

gavmur [86]3 years ago

8 0

Answer:

Answer:4

Step-by-step explanation:

I think its 4 because if u round it up u get 4

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-1/4 [p+16]=2 help me pls

dalvyx [7]

Answer:

6p

Step-by-step explanation:

4 0

3 years ago

If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

7 0

3 years ago

36 even : 12 odd in simplest form

vesna_86 [32]

3 even: 1 odd..................................

7 0

3 years ago

Read 2 more answers

Paige used 1 1/2 cups of flour and 1/4 of butter to make 12 muffins. How much flour and butter would Paige need for 18 muffins?

maks197457 [2]

Answer:

3/4 cup

Step-by-step explanation:

12 divided by 2 is 6

18 - 12 = 6

we are going to need half of 1 1/2 cup of flour

1 cup = 1/2

1/2 cup = 1/4

1/2 and 1/4 cup = 3/4 cup

6 0

2 years ago

Read 2 more answers

In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi

aksik [14]

1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?

6 0

3 years ago