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bonufazy [111]
3 years ago
13

What is the probability of rolling a 6 and then a 7 on a number cube?NO LINKS PLEASE!​

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

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Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
3 years ago
I need help.. PLEASE HELP ME WITH SOME QUESTIONS I HAVE ON ALGEBRA
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3 years ago
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$300 invested at 12% compounded monthly after a period of 1.5 years
GalinKa [24]

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

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4 0
3 years ago
A number increased by 25% becomes 30 the number is​
Masteriza [31]

Answer:

24

Step-by-step explanation:

Let 'x' be the number

x +25% of x = 30

x + 0.25x = 30

1.25x = 30

x = 30/1.25

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6 0
3 years ago
A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in
lapo4ka [179]
First generation: 3

Second generation: 3\times2.2

Third generation: 3\times2.2\times2.2=3\times2.2^2

Fourth generation: 3\times2.2\times2.2\times2.2=3\times2.2^3

And so on. The general formula for the nth generation is 3\times2.2^{n-1}. So by the 15th generation, you should expect around 3\times2.2^{15-1}\approx186655 geese.
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3 years ago
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