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3 years ago

5/4-3/4 evaluate each expression

2 answers:

8 0

$\frac{5}{4}-\frac{3}{4}\ \ \ |the\ same\ denominators\\\\=\frac{5-3}{4}=\frac{2}{4}=\frac{2:2}{4:2}=\huge\boxed{\frac{1}{2}}$

ivann1987 [24]3 years ago

8 0

$\frac{5}{4} - \frac{3}{4}$

⇒ $\frac{2}{4}$

$\frac{2}{4}$ ⇒ $\frac{2:2}{4:2}$ ⇒ $\frac{1}{2}$

Have a nice days.............

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If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero

belka [17]

Answer:

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is

$P(x)=x^3+5x^2+7x+3$

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

$P(x)=x^3+x^2+4x^2+4x+3x+3$

$P(x)=x^2(x+1)+4x(x+1)+3(x+1)$

$P(x)=(x+1)(x^2+4x+3)$

Now, splitting the middle term, we get

$P(x)=(x+1)(x^2+3x+x+3)$

$P(x)=(x+1)(x(x+3)+1(x+3))$

$P(x)=(x+1)(x+1)(x+3)$

$P(x)=(x+1)^2(x+3)$

Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

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3 years ago

What is 175% of 8000? Round to the nearest hundredth (if necessary).

igomit [66]

Answer: 175% of 8000 is equal to 14000.

Step-by-step explanation:

We know that to convert a percentage into fraction or decimal , we divide it by 100 .

Also, if find <em>x% of y</em> , then on next step we change '%' sign by $\dfrac{1}{100}$ and 'of ' by Multiply sign (x).

Given problem : 175% of 8000

which can be re-written as: $\dfrac{175}{100}\times8000$

$=\dfrac{175\times80}{1}\\\\=14000$ (On solving)

i.e. on solving 175% of 8000, we get 14000

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3 years ago

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Answer:

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b) P [X < 24] = 0,0228 or 2,28 %

c) P [ 24 < X < 48 ] = 0,9544 or 95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 - P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6

z = - 1

From z table we get for -1

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587

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z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24] = 0,0228 or 2,28 %

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s (score) = 48 - 36 / 6 ⇒ z = 2

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Then

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