Answer:
He must get at least a 90 in order to recieve an 85 percent or higher
Step-by-step explanation:
Area shaded = Area big circle- Area of small circle;
200 pi= pi•(2x)^2 -pi•6^2;
200pi= pi•4x^2 -pi•36;
200pi=pi•4(x^2 -9) divide both sides by 4pi;
50=x^2 -9; So x=sqrt(59)~7.68cm
<span>A) How many cups of flour are there per serving?
</span>1 ½ cups of flour --------<span>6 servings
? cups of flour ------- 1 serving
</span>1 ½
------------
6
= 3/2 x 1/6
= 1/4
answer: 1/4 cups of flour per serving
<span>B) how many total cups of sugar(white and brown) are there per serving?
</span>total white and brown: <span>2/3 + 1/3 = 3/3 = 1 cups (combine)
1 cup of sugar (white and brown) </span>--------6 servings
? cups of sugar (white and brown) ------ 1 serving
1
----- = 1/6
6
answer: 1/6 cups of sugar (white and brown) per serving
<span> (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?
</span>
3/2 cups of flour --------6 servings
? cups of flour -----------9 servings
9 * 3/2
-----------
6
= (13 1/2) / 6
= 2 1/4
2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups
answer: you need 3/4 more cups of flour
ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:
where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:
The volume of a cube is given as:
where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:
Therefore, the difference in the volumes of the sphere and cube is:
Therefore, the sphere is 10762 cubic centimeters bigger than the cube.
Answer:
If David were summarizing the data from his sample, he would use Descriptive statistics. If he wanted to know whether or not his sample results could be generalized to the population, he would use Hypothesis testing statistics.
Step-by-step explanation:
Hello!
There are two types of statistics.
1. Descriptive statistics.
This method allows you to summarize the observed data of a sample, it gives you an idea of the data distribution shape, its variability, most common values, etc... You can summarize the data using numerical measures (for example: mean, median, mode, variance) or graphics (for example histogram, scatterplots, boxplots)
2. Hypothesis testing.
Using this method you can test the results of an experiment, using the previously summarized sample data, and reach a valid conclusion over your claims that can be generalized to the population of study afterward.
I hope it helps!
