Answer:
Sue is 6 and Mary is 10
Step-by-step explanation:
let Sue's age be x then Mary is x + 4 and the sum of their ages is
x + x + 4 = 16
2x + 4 = 16 ( subtract 4 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
x + 4 = 6 + 4 = 10
then Mary is 10 and Sue is 6
Answer:
I and II.
Step-by-step explanation:
Dot plots are charts that<em> represent data points on a simple scale using filled circles</em>. Stemplots allow <em>plotting data by dividing it into stems (largest digit) and leaves (smallest digits)</em>. Both dot plots and stemplots are like histograms since they allow to compare data relating to only one variable, and are used for continuous, quantitive data, highlighting gaps, clusters, and outliers.
Histograms <em>use bars to represents amounts, with no space between the bars and </em>the height of the bars is proportional to the frequency or relative frequency of the represented amount. <u>We refer to the relative frequency of a case when this frequency is divided by the sum of all frequencies of the cases</u>. The proportionality between the height of the bar and the frequency is right when the width (interval) of the bar is the same for everyone, on the contrary, the area of the bar would be proportional to the frequency of cases.
Therefore, of all the above, the correct statements are I and II. Statement III is incorrect because relative <em>heights </em>are proportional to relative <em>frequencies</em>.
I hope it helps you!
Answer:

Step-by-step explanation:
To solve the problem, you must expand the trigonometric expression using the information given.

Y=-x+5
Y=2x-4
X would be your slope
Y intercepts would be (0, 5) , ( 0,-4)
Formula i used was Y=Mx+B
Answer:
The Fullers can reach the national park
Step-by-step explanation:
<u><em>The complete question is</em></u>
The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.
Distance to national park 515 miles
Car’s gas tank capacity 20 gallons
Average gas mileage for car 26 miles per gallon
The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.
we know that
The Average gas mileage for the car is 26 miles per gallon
That means
With 1 gallon the car runs 26 miles
so
using a proportion
Find out how many miles the car runs with 20 gallons (one tank of gas)

Compare with the distance to the national park

therefore
The Fullers can reach the national park