Answer:17.3964 males 7.6035 females
Step-by-step explanation:
The first way to calculate the expected uses the marginal percentages. If sex is not related to flavor preference, you would expect the same percentages of males to prefer the same flavors as females. Since overall 20.71% prefer vanilla, you would expect 20.71% of males to prefer vanilla. Now, 20.71% of 84 people is 17.3964, so this is how many males you would expect to prefer vanilla. You would also expect 20.71% of the females to prefer vanilla, which is 17.6035. So you'd expect 17.3964 males and 17.6035 females to prefer vanilla.
Not sure if this is how your teacher wants it, but here is how I would approach it in high school geometry:
To find the area of a rectangle, you need the base and the height.
The radius is 28 mm however the radius only covers half of one circle. Multiply 28 by 2 to get the length of one circle (56) and multiply 56 by 2 to get the length of your base of your rectangle (112).
Now to find the height: the center of the circles creates an equilateral triangle with the side length of 2r or 56 in this case. This means each angle of that triangle is 60 degrees, and when split in half, this creates two triangles both with angles of 30, 60, and 90. The altitude of this triangle is r√3 because of the “special right triangle rule” or 28√3 in this case. This comes to 48.497 mm. To find the remaining length of the height, you can use the radii of the top and bottom circle which add to 56. Add this to the previous number. So...
Height: 104.497
Base: 112
Now multiply the base times height to get:
216.497 mm.
Hope that helps!
Answer:
i think its Let a be the side length, then area=a^2=14400 sq m. Therefore a=√14400=120m.
Step-by-step explanation:
The system of equations that Sam can use is given by:
A 13b + 4t =327.50, 6b + 2t = 142.96
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable b: Cost of a bush.
- Variable t: Cost of a tree.
The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:
13b + 4t = 327.50.
The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:
6b + 2t = 142.96.
Which means that option A is correct.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
x=4
Step-by-step explanation:
