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2 years ago

Find the value of X in the isosceles triangle shown below.

Mathematics

1 answer:

Masteriza [31]2 years ago

7 0

Split the triangle in half and use the Pythagorean theorem:

x = sqrt(13^2 - 5^2)

x = sqrt(169 - 25)

x = sqrt(144)

x = 12

The answer is D. 12

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Answer:

60° is the value of y....

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population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25

mixer [17]

Answer:

<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Population mean = 72

Standard deviation = 10

Sample₁ = 4

Sample₂ = 25

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error for Sample₁ = 10/√4

<u>Standard error for Sample₁ = 10/2 = 5</u>

Now, let's find the standard error for Sample₂

Standard error for Sample₂ = 10/√25

<u>Standard error for Sample₂ = 10/5 = 2</u>

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2 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

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

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

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2 years ago

How does a number line help you compare numbers.

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It shows you the exact distance from each number and it's easier to find out how far apart they are.

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<h3>Step-by-step explanation:</h3>

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