Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
- Expected Value of Blue = 56(0.24) = 13.44
- Expected Value of Brown = 56(0.14) = 7.84
- Expected Value of Green = 56(0.16) = 8.96
- Expected Value of Orange = 56(0.20) = 11.20
- Expected Value of Red = 56(0.13) = 7.28
- Expected Value of Yellow = 56(0.14) = 7.84
Remember to use 
to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
Answer:
t = 0.35 seconds
Step-by-step explanation:
We have given the equation:
d=1/2gt²
where,
g = 9.8 m/s²
d = 0.6 m
t = ?
Now put the values in the given formula:
d*2/g = t²
0.6*2/9.8 = t²
1.2/9.8 = t²
0.12245 = t²
Now find the square root of both sides
√t² = √0.12245
t = 0.35 seconds
Answer: - 0.71
Step-by-step explanation:
Let p = population proportion
po = sample proportion.
From the question,
p = 38% = 38/100 = 0.38
po = 32% = 32/100 = 0.32
Sample size (n) = 340.
Since our sample size is greater than 30 ( n= 340) we will be making use of a z test for our test statistics.
The population standard deviation of the data set is given below as
σ = √p(1 - p).
σ = √0.38 (1 - 0.38)
σ = √0.38 × 0.62
σ =√0.2356
σ = 0.49.
Z score = po - p/ (σ/√n)
Z score = 0.32 - 0.38/ (0.49/√340)
Z score = - 0.06 / 0.0266
Z score = - 0.71
Answer:
the coordinates of C' = (2,1)
Step-by-step explanation:
The coordinates of point C can be found by looking at the graph.
Coordinates of C are C= (6,3)
If ABCD is dilated by a factor of 1/3 then the coordinates of C' can be found by multiplying the coordinates of C by 1/3
C = (6,3)
C' =(1/3*6,1/3*3)
C' = (2,1)
So, the coordinates of C' = (2,1)
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
