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2 years ago

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Mathematics

2 answers:

Leokris [45]2 years ago

8 0

Answer:

what is this

Step-by-step explanation:

Gre4nikov [31]2 years ago

8 0

Answer:

???

Step-by-step explanation:

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How many people are there?

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Yakvenalex [24]

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Step-by-step explanation:

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3 years ago

Which equation is made true by the opposite angles theorem?

Oksana_A [137]

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

$85\text{ + y = 3y - 15}$

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

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1 year ago

A triangle with sides of lengths 16, 63, and 65 is a right triangle.

malfutka [58]

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3 years ago

A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that

kicyunya [14]

Answer:

The sample size is $n = 36$

Step-by-step explanation:

From the question we are told that

The sample standard deviation is $s = 1.5$

The mean difference of the two groups is $\=x _ 1 - \=x_2 = 1$

The standard error is $SE = \frac{ \= x_1 - \= x_2}{4}$

=> $SE = \frac{1}{4}$

Let assume that the confidence level is 95% hence the level of significance is

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

So the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.96 * \frac{1}{4}$

$E = 0.49$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} * s^2}}{E}]^2$

=> $n = [\frac{1.96 * 1.5}{0.49} ]^2$

=> $n = 36$

6 0

3 years ago