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2 years ago

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Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)? 6 a minus 2 b + 11 6 a minus 4 b + 3 6 a minus 2

b + 3 6 a minus 4 b + 11

2 answers:

bekas [8.4K]2 years ago

6 0

This is how it turns out:

saul85 [17]2 years ago

6 0

The answer is 6a - 4b+ 11

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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.

3 0

2 years ago

Rose watches a circular ornament that has 6 equally spaced stones. identify x

Feliz [49]

Answer:

x = 60°

Step-by-step explanation:

It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,

mAB◠ = 60∘

mBC◠ = 3 (60∘) = 180∘

If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.

x = 1/2 (mBC◠ − mAB◠)

Substitute the known values into the formula.

x = 1/2 (180∘ − 60∘)

= 1/2 (120∘)

= 60∘

Therefore, x = 60∘.

8 0

2 years ago

Please help. Thank you.

Marysya12 [62]

The answer would be 24pi inches.

You can find this by using the formula for a circumference and plugging in the value of the radius.

C = 2pi*r

C = 2pi * 12

C = 24pi

4 0

2 years ago

Lilah completed the division problem below.

victus00 [196]

A - False

B - True

C - True

D - False

E - True

-----
7.84 / 2 = 3.92

6 0

3 years ago

What is the equation of the line that passes through point P (6, -8) and has a slope of zero?

EleoNora [17]

Answer:

A

Step-by-step explanation:

because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.

8 0

2 years ago