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2 years ago

What is 1.21 repeating as a fraction?

2 answers:

6 0

$x=1.\overline{21}\\
100x=121.\overline{21}\\
100x-x=121.\overline{21}-1.\overline{21}\\
99x=120\\
x=\dfrac{120}{99}=\dfrac{40}{33}$

Dmitrij [34]2 years ago

4 0

Answer: $1.\bar{21}=\frac{40}{33}$

Step-by-step explanation:

Since we have given that

$1.\bar{21}$

Let x = $1.\bar{21}$ --------------(1)

Multiplying by 100 on both the sides:

$100x=121.\bar{21}---------------(2)$

Subtracting (1) from (2), we get,

$100x-x=121.\bar{21}-1.\bar{21}\\\\99x=120\\\\x=\frac{120}{99}\\\\x=\frac{40}{33}$

Hence, $1.\bar{21}=\frac{40}{33}$

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The polynomial function f(x) = 3x5 - 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when

sladkih [1.3K]

Answer:

0, ±1, ±7,±1/3, and ±7/3

Step-by-step explanation:

In the function:

3x^5 - 2x² + 7x

x can be extracted as the greatest common factor, as follows:

x(3x^4 - 2x + 7)

then, zero is one root of the function.

According to Rational Root Theorem:

possible rational roots = factors of the constant/factors of the leading coefficient

For this case, factors of the constant (7) are: ±1 and ±7

For this case, factors of the leading coefficient (3) are: ±1 and ±3

Then:

possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3

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2 years ago

I NeED HeLP ASAP with this question

Softa [21]

It is Choice C. Hope this helped!

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3 years ago

What is the range of the function y = x² + 1?

Mazyrski [523]

Answer

[ 1 by 2, -1 by 2 ]

Step-by-step explanation:

https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg

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2 years ago

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What does this problem equal? -2/3x-3-3

vlabodo [156]

Answer:

-1

Step-by-step explanation:

-2/3*-3-3

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2 years ago

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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

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3 years ago