Answer:
look below but sorry that i dont know part b
Step-by-step explanation:
y = 5/2x-3
slope=5/2 y-int = -3
y=x-9
slope=1/1 y-int=-9
y=5x
slope= 5/1 y int=0
y=-1/2x +5
slope=-1/2 y-int= 5
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Answer:

Step-by-step explanation:
Given that,
Height of the cylinder, h = 6 mm
Radius of the cylinder, r = 4 mm
We need to find the volume of the cylinder. The formula for the radius of the cylinder is given by :

Putting given values,

So, the volume of the cylinder is
.
Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z=
where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)=
≈ -1.035
For the sample proportion 0.5:
z(0.5)=
≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
<span>According the information given we understand that the room is a regular rectangle, We know that volume = lenght * widht * height, so we start by calculate the room area as length by width, that is 16.4 * 4.5 = 73.8 square metres. Then with 3.26 metres of height, the total volum will 73.8 * 3.26 = 240.58 cubic metres.</span>
Answer:
Step-by-step explanation:
<u>The numbers from 1 to 9999 can be shown in the form of:</u>
Each of x, y, z represent the digits from 0 to 9, so 10 ways each.
<u>For each of the forms we have:</u>
<u>Total of:</u>
By the way this is applicable to any digit.