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3 years ago

#1) * Find the value of x. Write your answer in simplest form.

Mathematics

1 answer:

Usimov [2.4K]3 years ago

5 0

Answer is 4
in the 45 45 90 triangle rule, the longest length is x sq root 2
so since the longest length is 4 sq root 2,
the two others are just 4

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Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

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3 years ago

Which expression is equivalent 6t + 9t

Yuliya22 [10]

Answer: 15t

Step-by-step explanation: 6t and 9t are like terms, meaning that you can combine them to get 15t.

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2 years ago

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What binomial do you have to add to the polynomial x^2+y^2–2xy+1 to get a polynomial: not containing the variable y?

zvonat [6]

Since you do not want the variable y, you must eliminate $y^{2}-2xy$

Therefore, to eliminate it, you must have the opposite of it, making the answer $2xy-y^{2}$

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3 years ago

Find an integer between 70 and 80 that is made up by using the following -3, 9, -5, (), squared

storchak [24]

75

Mark brainliest please

Hope this helps you

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3 years ago

How do you turn a Decimal to a percent and a percent to a Decimal

sashaice [31]

To turn a decimal into a percent you simply multiply it by 100

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hope this helps! :)

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#1) * Find the value of x. Write your answer in simplest form.​

#1) * Find the value of x. Write your answer in simplest form.