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3 years ago

14

How is 0.9 the simplification to 90/100

1 answer:

ANTONII [103]3 years ago

5 0

The fraction 90/100 is equivalent 1 to 9/10.The fraction 90/100 This is a PROPER FRACTION once the absolute value of the top number or numerator ( 90) is smaller than the absolute value of the bottom number or denominator (100)
This fraction 90/100 is equal to 90<span>÷100 and can also be expressed in decimal form as 0.9</span>

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.

mojhsa [17]

Answer:

$a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216$

Step-by-step explanation:

Use formula

$(u+v)^3=u^3+3u^2v+3uv^2+v^3.$

Hence,

$(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.$

This expression is equal to

$x^3-18x^2+24bx-c,$

so we can equate the coefficients at powers of x:

$x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.$

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4 years ago

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BigorU [14]

Answer:

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Step-by-step explanation:

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3 years ago

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate, the

N76 [4]

111=100(1.0153)^x
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X=log(111÷100)÷log(1.0153)
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3 years ago

Read 2 more answers

Can anyone help ? :) thanks

den301095 [7]

The product of 5 x 2 is 10, this is the same as adding 2 to 2 5 times brainliest pls

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3 years ago

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A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to d

borishaifa [10]

Answer:

Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis

a) H0: Die = fair

b) Ha : Die ≠ fair

c) df = 5

Step-by-step explanation:

The expected frequency of every face values = 20

a) state Null hypothesis

H0: Die = fair

b) Alternate Hypothesis

Ha : Die ≠ fair

c) degree of freedom

df = ( n - 1 )

= ( 6 - 1 ) = 5

n = sample size ( number of faces a die has )

Note : After conducting hypothesis test

Pvalue ≈ 0.0026

test statistic ≈ 18.30

Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis

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4 years ago