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Katyanochek1 [597]
3 years ago
9

1. The expression x3+3x2+x-5 represents the total length across the front of the mansion. Find the length of side I. Show all wo

rk. X will stay a variable and your answer will be a polynomial.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0
Given that t<span>he expression x^3+3x^2+x-5 represents the total length across the front of the mansion. Let the length of side I be a, then

x^4-2x^3+x-10+a-x^3+5x^2+2=x^3+3x^2+x-5 \\  \\ \Rightarrow a=x^3+3x^2+x-5-x^4+2x^3-x+10+x^3-5x^2-2 \\  \\ =\bold{-x^4+4x^3-2x^2+3}</span>
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A department store has daily mean sales of​ $28,372.72. The standard deviation of sales is​ $2000. On​ Tuesday, the store sold​
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Answer:

Tuesday z-score was 3.26.

Tuesday was a significantly good day.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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.

A score is said to be significantly high if it has a z-score higher than 1.64, that is, it is at least in the 95th percentile.

In this problem, we have that:

\mu = 28372.72, \sigma = 2000

On​ Tuesday, the store sold​ $34,885.21 worth of goods. Find​ Tuesday's ​z-score.

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Tuesday z-score was 3.26.

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A z-score of 3.26 has a pvalue of 0.9994. So only 1-0.9994 = 0.0006 = 0.06% of the day are better than Tuesday.

So yes, Tuesday was a significantly good day.

8 0
2 years ago
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Answer:

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2 years ago
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Help me in this question
KATRIN_1 [288]
H = -5t^2 +5t + 10

a) t = 0, h = 10 at time 0 

b) h = (-5t  + 10) ( t  +  1) 

c) put 0 in for the height and set each factor = to 0 and solve each
0 = (-5t + 10) and 0 = (t + 1)
solve each t = 2 and t = -1, so t = 2 sec is your solution

d)  because a parabola is symmetric, the max will be half way between -1 and 2, at t = 1/2

h = -5(1/2)^2 +5(1/2) + 10
h = -5(1/4) + 5/2 +10
h = -5/4 + 5/2 + 10
h = -5/4 + 10/4 + 40/4
h = 45/4

5 0
3 years ago
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