For a 2:7 ratio there would be 100 boys and 350 girls
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
She will make 20,000000. Gallons a punch.
Answer:
x intercept = 8
y intercept = -24
Step-by-step explanation:
In the USA, the shoe sizes or men are approximated by the equation 3f-s=24, where f represents the length of the foot in inches and s represents the shoe size.
<u>When we represent this equation using a graph, we mark the independent variable on the x axis and the dependent variable on the y axis.</u>
Here the foot length is the independent variable and the shoe size is the dependent variable. Hence we take foot length on x axis.
To get x intercept put y=0, f = 
= 8 inches .
This is the point from which where we start our shoe size.
The y intercept , s = -24.
The population standard deviation, σ = 1.68, the sample standard deviation, s = 1.95, the sample mean =7.23, and the sample size, n = 39.The test statistics is given by
T=(n - 1) (s / σ)²
= (39 - 1) (1.95 / 1.68)²
= 38 (1.35)= 51.196
