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Oxana [17]
2 years ago
5

A shape is covered by 40 unit squares. What is the area of the shape

Mathematics
1 answer:
ollegr [7]2 years ago
6 0
Hello!

I believe that the answer would be 40²

I hope this helps!
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Two different samples will be taken from the same population of test scores where the population mean and standard deviation are
Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

<em>n</em>₁ = 25

<em>n</em>₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]        

Width for n = 64:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]

Thus, the sample consisting of 64 data values would give a greater precision

5 0
2 years ago
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For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

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2 years ago
Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
nlexa [21]

Answer: 280 tons

Step-by-step explanation: Khan Academy

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First, you need to take 40% off of the original price ($68) to find the discount. to do this, multiply 68 by 0.4 (.4 is 40% in decimal form). You should get $27. 20.  Next, you subtract this from 68- keep in mind that we found the discount, not the actual price. 68- 27.20= 40.8. Now, we multiply this by 20%, or 0.2- you should get 8.16. Subtract that from 40.8 to get <u>$32.64</u>. 
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at a track meet, jacob and daniel compete in the 220 m hurdles. daniel finishes in 3/4 of a minute. jacob finishes with 5/12 of
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I hope this help

Jacob  is the faster time

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2 years ago
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