Answer:
6 "surprise" flavors jellybeans
Step-by-step explanation:
From the information given:
The bag contained a mixture of regular flavored jellybeans and "surprise" jellybeans.
There are 40 jellybeans in the bag.
If 15% of the jellybean were "surprise" flavors.
Then, the number of expected "surprise" jellybeans will be:
= 15% of 40 jellybeans
= (15/100) × 40
= 6 "surprise" flavors jellybeans
If 6 surprise jellybean is contained in the bag;
Thus, the number of regular flavored jellybean will be
= 40 - 6
= 34 regular flavored jellybean
Answer:
Possible values of dimensions are (24,16,2) or (24,8,4)
Step-by-step explanation:
We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.
Let us say that the width is x and height is y
Length = 24
Volume of a cuboid = length * width * height
Volume = 768
768=24*x*y
xy=32
Now the possible factors of 32
32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)
32=2*16
32=4*8
Hence the possible values width are 8, 16 and that of height 4 and 2
Hence the possible values of dimensions are (24,16,2) or (24,8,4)
Answer:
1 /2
Step-by-step explanation:
Sample space of number cube : (1, 2, 3, 4, 5, 6)
Odd numbers on cube : (1, 3, 5) = 3 odd numbers
Since each roll of number cube is independent, the number of times it has landed between fire does not matter :
Therefore, probability of landing on a odd number is :
P = required outcome / Total possible outcomes
P = 3 / 6
P = 1/2
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
