Answer:
The probability is 0.04746
Step-by-step explanation:
Firstly, we calculate the z-score here
Mathematically;
z-score = x-mean/SD/√n
Where from the question;
x = 85, mean = 90 , SD = 15 and n = 25
Plugging these values into the equation, we have;
Z = (85-90)/15/√25 = -5/15/5 = -1.67
So the probability we want to calculate is ;
P(z > -1.67)
We use the standard normal distribution table for this;
P(z > -1.67) = 0.04746
Answer:
4 ft
Step-by-step explanation:

A=10 h=5

20=5b (multiply both sides by 2)
4=b (divide by 5)
Answer:

Step-by-step explanation:
Given
Shape: Rectangle
Diagonals: AC and BD

Required
Determine BD
From the question, we understand that the shape is a rectangle and its diagonals are AC and BD
Every rectangle has 2 diagonals, both of which are equal.
This implies that:

Recall that:

Hence,

We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.
Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.
11 x 10 x 2 = 220
Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320
Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.
9.7 x 16 x 2 = 310.4
Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88
Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
The exhibition of 7 birds will cost $2,450
<h3>
How to calculate the total cost ?</h3>
The wildlife center charges a basic fee of $325 for a bird exhibition
When 5 birds were exhibited, $125 additional fee was charged
The additional fee for a bird is
= 125/5
= 25
Therefore the total cost of exhibiting 7 birds can be calculated as follows
= 325 + 25
= 350
350 × 7
= 2,450
Hence the total cost for the exhibition of 7 birds is $2,450
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