Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
Answer:
The length of the rectangle is given as:
(9x + 6)
Step-by-step explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
The length of the rectangle is given as:
(9x + 6)
Answer:
p > d
c < p
Step-by-step explanation:
Answer:
Step-by-step explanation:
The statement "-78 IS GREATER THAN OR EQUAL TO - 8 +5n" mathematically can be written as
Add 8:
Divide by 5:
or
There is a difference between the expected value and the value you get when you actually try this experiment
The value you would get if you actually tried the experiment
You would expect to get 3/6 for the 2. This means that when you throw the die any number of times, you will get a 2 about 1/2 the time. If you throw the die 1500 times 750 of them should be a 2.
You would expect to get 2/6 for the 1. When you throw the die any number of times, you would expect to get a "1" 1 out of 3 times. If you throw the die 3000 times, 1000 of them should be a 1.
You would expect to get 1/6 for the blank. This means that for any number of throws 1 out of every 6 should come up blank. In other words, if you divided the number of throws by 6, you should get that many blanks.
The actual value is as above
The expected value in probability is
2 * 1/2 = 1
1 * 1/3 = 0.3333
0 * 1/6 = 0
The expected value = 1.33 just as you said.
