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2 years ago

8

Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?

1 answer:

Nitella [24]2 years ago

3 0

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

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Cynthia ran 17.5 laps in 38.5 minutes if she ran each lap at the same pace how long did it take her to run one full lap

marishachu [46]

Answer:

2.2 minutes

Step-by-step explanation:

38.5 ÷ 17.5 = 2.2

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2 years ago

In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and t

stich3 [128]

To apply a scale to a measure, you have to follow this rule:

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So the drawings will have:

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2 years ago

Read 2 more answers

What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?

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Answer:

1

Step-by-step explanation:

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2 years ago

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

Gelneren [198K]

Answer:

a

$P(X < 24 )= 21.186\%$

b

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

So

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

So

$\frac{x - 26}{4} = -1.555$

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