Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:

Option 1 is incorrect
2) For x < 87

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:

Option 3 is correct
4) For x < 77

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
Answer:
11 ways
Step-by-step explanation:
10 crunchy
9 crunchy 1 crispy
8 crunchy 2 crispy
7 crunchy 3 crispy
6 crunchy 4 crispy
5 crunchy 5 crispy
4 crunchy 6 crispy
3 crunchy 7 crispy
2 crunchy 8 crispy
1 crunchy 9 crispy
10 crispy
Try this suggested example.
PS. the 1st step is marked with red, the 2d step - with green, the 3d step - with blue colours, then the final step is marked with orange.
Answer:
S.A = 147.35 cm²
Step-by-step explanation:
Surface area of the triangular pyramid = base area + ½(perimeter of base*slant height)
Base area = ½*bh
b = 7 cm
h = 6.1 cm
Base area = ½*7*6.1 = 21.35 cm²
Perimeter of triangular base = 7 + 7 + 7 = 21 cm
slant height = 12 cm
Plug in the values into the equation
S.A = 21.35 + ½(21*12)
S.A = 21.35 + 126
S.A = 147.35 cm²