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Snezhnost [94]
3 years ago
15

Use the graph of the function f(x) = x3 - 7x2 + 10x to identify its relative maximum and minimum.

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

Step-by-step explanation:

hello :

f(x) = x3 - 7x2 + 10x

the derivate of  f is : f'(x) =3x²-14x+10

sign of f'(x) : delta = b² - 4ac

a=3    b= -14    c=10

delta = (-14)² - 4(3)(10) = 176

you have two solution so  its relative maximum and minimum.

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A ferris wheel can accomidate 65 people in 25 minutes
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3 years ago
The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0
3 years ago
Seth buys last year's best-selling novel, in hardcover, for $17.85 $⁢17.85 . This is with a 15% 15% discount from the original p
Troyanec [42]

$21.00

let the original price = 100%

then the discount price = 100 - 15 = 85%

divide $17.85 by 85 to obtain 1% then multiply by 100 to obtain original price.

original price = $17.85 × \frac{100}{85} = $21


8 0
3 years ago
Read 2 more answers
H(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
Elina [12.6K]

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

6 0
3 years ago
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