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3 years ago

Please help me with this math question!

Mathematics

1 answer:

dimaraw [331]3 years ago

7 0

Answer:

$-\frac{1}{32}$

Step-by-step explanation:

$\frac{1}{2^{-2}*x^{-3}*y^{5} }$

Substitute x = 2 and y = -4 into $\frac{1}{2^{-2}*x^{-3}*y^{5} }$

2⁻² = $\frac{1}{4}$

2⁻³ = $\frac{1}{8}$

-4⁵ = -1024

$\frac{1}{4}$ × $\frac{1}{8}$ × -1024 = -32

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Answer:

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3 years ago

A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The standard deviation

S_A_V [24]

Answer:

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Step-by-step explanation:

A single mean test can be used to determine whether the average amount of shampoo per bottle is 16 ounces.

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The information provided is:

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Since the population standard deviation is known we will compute the z-interval.

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*Use a z-table.

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$CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\$

Since the sample size is quite large, according to the law of large numbers the on increasing the sample size, the mean of the sample approaches the whole population mean.

So, the 90% confidence interval estimate for sample mean is:

$CI=\mu\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\=16\pm 1.645\times \frac{0.20}{\sqrt{64}}\\=16\pm0.041125\\=(15.958875, 16.041125)\\\approx (15.959, 16.041)$

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3 years ago

What is the area of the figure?

irga5000 [103]

Answer:

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Step-by-step explanation:

Area of the shaded region = Area of exterior circle with radius (3 +2 = 5) units - Area of interior circle with radius 3 units

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