Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below.
Spanish Club Not in Spanish ClubTotalReceived Spanish class requested 265 100 365
Did not get Spanish class requested 70 65 135
Total 335 165 500
Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Answer:
We have the given the data of 500 students and it is required to see whether every student got an equal opportunity to get the Spanish class they requested.
Now, we have,
Number of students in the Spanish class who got the class they requested = 265
Number of students not in the Spanish class that got the class they requested = 100
Total number of students in Spanish class = 335
Total number of students not in Spanish class = 165
Therefore, we get that,
Probability of students in the Spanish class who got the class they requested = = 0.791
Probability of students not in the Spanish class who got the class they requested = = 0.606
This shows that all students do not get the equal chance of getting into the Spanish class they requested.
The remainder theorem is an easy way of calculating the remainder from polynomial division.
The conclusion of remainder theorem, here is that:
We have:
and a remainder of 17
The general rule of the remainder theorem is that:
For and a remainder of b
It means:
By comparing
and
It means:
and
So:
becomes
Hence, the conclusion is that:
Read more about remainder theorems at:
Answer:
f(-5)=17
Step-by-step explanation:
Took the quiz.
Answer:
Area of pizza whose longer side is of length is 14 inches = 218.5
Area of pizza whose longer side of rectangle is 18 inches=258.5
Area of pizza whose longer side is of length is 29 inches = 368.5
Step-by-step explanation:
Given A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches. we have to find the area of each pizza.
First, let us find the area of pizza whose longer side of rectangle is 14 inches
Area of 2 semicircles whose diameter is 10 inches
Length = 14 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 14 inches = Area of rectangle + area of 2 semicircles
=140+78.5=218.5
Now, let us find the area of pizza whose longer side of rectangle is 18 inches
Length = 18 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 18 inches = Area of rectangle + area of 2 semicircles
=180+78.5=258.5
Now, let us find the area of pizza whose longer side of rectangle is 29 inches
Length =29 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 29 inches = Area of rectangle + area of 2 semicircles
=290+78.5=368.5
To calculate the area of pizzas shaped like rectangles with semi-circular ends, we calculate the area of the rectangle and adjacent semi-circles separately then sum both. The rectangle's area is calculated as length times width while the semi-circle area is calculated as half of (pi*radius^2).
The area of a pizza that's shaped like a long rectangle with semi-circles at the ends can be calculated by first looking at the rectangle and then the semi-circles. For the rectangles, we use the formula for the area of a rectangle that is, length multiplied by width.
For the 14 inch pizza, the rectangle part:
Area = Length x Width = 14 x 10 = 140 square inches
The area of the semi-circle can be calculated as Area=1/2πr². The diameter is given as 10. So, the radius (r) will be half of the diameter, which is 5. Therefore, Area of each semi-circle = 1/2 x π x 5² = 1/2 x 3.14 x 25 = 39.25 square inches. The combined area of two such semi-circles will be = 39.25 x 2 = 78.5 square inches.
Adding the area for the rectangle and the semi-circles, the total area of each pizza will be 140 + 78.5 = 218.5 square inches.
Following these same steps, we can calculate the areas for the 18 inch and 29 inch pizzas.
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x+5y=6
6x-10y=12
r(r-r2) the 2 is meant to be r squared
slope 2, y-intercept - 4
Answer:
a, b, d
Step-by-step explanation:
y = x - 2
(a) The y-intercept is ( - 2)
(b) The x-intercept is 2
(d) The graph of the function ....