3,817,773 rounded to nearest 100,000

A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?\

8_murik_8 [283]

Answer:

$0.20

Step-by-step explanation:

3.95/20 = 0.1975

0.1975 would round up to 0.20

6 0

2 years ago

Read 2 more answers

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

3 years ago

A population of 350 animals that increases at an annual rate of 6%.

slava [35]

Answer:

y=350(1.06)^x and 704

Step-by-step explanation:

Exponantial Function is y=ab^x. I plugged in 12 into x

6 0

3 years ago

A hairstylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customers hair. the hairstylist plans to wor

Lana71 [14]

To make it simple make them all the same fraction

6/24 to trim 4/24 to style and she wants to work for 80/24 hours for 5 days

if each appointment she wants to take 6/24 to trim and 4/24 to style then every appointment will take 10/24 of an hour.

she wants to do 80/24 so she can do 8 appointments a day if each take 10/24

8 appointments a day 5 days a week

8x5= 40

3 0

3 years ago

Which angles intercept a 20 degree arc in a circle? Select all that apply.

marshall27 [118]

Answer:

b. A central angle of 20 degrees

d. An inscribed angle of 10 degrees

Step-by-step explanation:

The complete question is

Which angles intercept a 20 degree arc in a circle? Select all that apply.

a. A central angle of 10 degrees

b. A central angle of 20 degrees

c. A central angle of 40 degrees

d. An inscribed angle of 10 degrees

e. An inscribed angle of 20 degrees

f. An inscribed angle of 40 degrees

Verify each case

case a. A central angle of 10 degrees

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'

so

A central angle of 10 degrees, intercept a 10 degree arc in a circle (by central angle)

case b. A central angle of 20 degrees

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'

so

A central angle of 20 degrees, intercept a 20 degree arc in a circle (by central angle)

case c. A central angle of 40 degrees

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it'

so

A central angle of 40 degrees, intercept a 40 degree arc in a circle (by central angle)

case d. An inscribed angle of 10 degrees

we know that

The inscribed angle is half that of the arc it comprises

so

An inscribed angle of 10 degrees, intercept a 20 degree arc in a circle

case e. An inscribed angle of 20 degrees

we know that

The inscribed angle is half that of the arc it comprises

so

An inscribed angle of 20 degrees, intercept a 40 degree arc in a circle

case f. An inscribed angle of 40 degrees

we know that

The inscribed angle is half that of the arc it comprises

so

An inscribed angle of 40 degrees, intercept a 80 degree arc in a circle

3 0

3 years ago