Answer:
Y = 0.009042 + 0.0002457X
Y = 0.1073 seconds
Step-by-step explanation:
In the given problem we have two variables: the transmission time and average size of file.
Y = transmission time
X = average file size
The linear regression model is given by
Y = a + bX
The slope b is given by
b = correlation coefficient*(SDy/SDx)
Where SDy is the standard deviation of average transmittance time and SDx is the standard deviation of average file size.
b = 0.86(0.01/35)
b = 0.0002457
The y-intercept a is given by
a = y - bx
a = 0.04 - (0.0002457)126
a = 0.04 - 0.030958
a = 0.009042
Therefore, the linear regression model is
Y = 0.009042 + 0.0002457X
Predict the time it will take to transmit a 400 Kbyte file.
Substitute X = 400 in the regression model
Y = 0.009042 + 0.0002457(400)
Y = 0.009042 + 0.09828
Y = 0.1073 seconds
Therefore, the predicted time to transmit a 400 Kbyte file is 0.1073 seconds.
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale
total is 1+2+5=8 units
so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit
soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon
soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
Answer:
<h3>
- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>
- The area of the shaded sector depends on the length of the radius. </h3><h3>
- The area of the shaded sector depends on the area of the circle</h3>
Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is 
. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector = 
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle = 
For length of an arc
ratio of the length of the arc to the area of the circle = 
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle
Answer: Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip.
Step-by-step explanation:
Given: Mr. Bartley is taking the theater club on a field trip [which must include bus or other vehicle] to see the musical wicked. The school treasurer asked Mr. Bartley for the group's total ticket cost.
He wrote the following cost function for the school treasurer.
Total Cost =52(25+2)
Since cost function is a function based on number of people and per head cost.
So, the statement which best describe the cost function is "Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip."
Answer:
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
Step-by-step explanation:
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