Answer:
28
Step-by-step explanation:
x=12 and y=3
x=4 and y =1
x=28 and y=7
Answer:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by; 
× π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm
To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
Question 1
probability of a red marble in the first draw = 1/10
probability of a orange marble in the second draw = 4/9
probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,
Question 2
6 outcomes
1/6
