Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:


To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,
= 25,
= 3.536
Using the z test statistics;



z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
Answer:
y = 65°
Step-by-step explanation:
z = 70° (corresponding angels are equal)
y + z = 135° (exterior angle theorem of a triangle)
y + 70 = 135 (substitution)
Subtract 70 from each side
y + 70 - 70 = 135 - 70
y = 65
Answer:
$190.
Step-by-step explanation:
We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.
Answer:
48 square unit
Step-by-step explanation:
For a rectangle, area is given by
A=bh
Where b is base and h is height as shown in the attached diagram
For a triangle, area is given by
A∆=½bh
Given that ½bh=48
Then bh=2*48=96 square units
The overall area is 96 square units.
The area for 1&2 combined will be given by deducting the area of triangle from the overall area
Area is 96-48=48 square units