Use the product to simplify the expression

Mathematics

1 answer:

harkovskaia [24]4 years ago

7 0

Big y little nine/ y to the power of nine

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marin [14]

Answer: $w^2+4w-36=0$

Step-by-step explanation:

Let w = width of the base of the shoebox.

As per given ,

Length = 8+2w centimeters

Area of base = 72 square centimeter

Area of rectangle = Length x width

$\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0$

Required equation: $w^2+4w-36=0$

8 0

3 years ago

You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference t

solong [7]

Answer:

Since $|Z| = 2.52 > 2$ , the difference is significant.

Step-by-step explanation:

Z-score:

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.

If |Z| > 2, the measure X is significent.

In this question:

$|X - \mu = 1.74|, \sigma = 0.69$