The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea
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Answer:
P(6) = 0.6217
Step-by-step explanation:
To find P(6), which is the probability of getting a 6 or less, we will need to first calculate two things: the mean of the sample (also known as the "expected value") and the standard deviation of the sample.
Mean = np
Here, "n" is the sample size and "p" is the probability of the outcome of interest, which could be getting a heads when a tossing a coin, for instanc
So, Mean = n × p = (18) ×(0.30) = 5.4
Next we we will find the standard deviation:
Standard Deviation =
n = 18 and p = 0.3 "q" is simply the probability of the other possible outcome (maybe getting a tails when flipping a coin), so q = 1 - p
Standard Deviation =
= 1.944
Now calculate the Z score for 6 successes.
Z = ( of successes we're interested in - Mean) ÷ (Standard Deviation)
=(6-5.4) ÷ (1.944) = 0.309
we have our Z-score, we look on the normal distribution and find the area of the curve to the left of a Z value of 0.309. This is basically adding up all of the possibilities for getting less than or equal to 6 successes. So, we get 0.6217.
Answer:
Step-by-step explanation:
Given :
→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
i.e, The ratio of red paint to blue paint is 3:5
→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.
i.e, The ratio of red paint to blue paint is 4:7
To find :
1) Compare the ratios of red paint to blue paint.
2) The ratio for Purple People Eater can be expressed in fraction form as :
3) The ratio for Purple Majesty can be expressed in fraction form as :
4) To compare these fractions, rewrite them with a common denominator
For common denominator
Multiply numerator and denominator by 4 in
Multiply numerator and denominator by 5 in
Common denominator is 20
The area of the bare spot the gardener needs to replant is 201 square feet
Step-by-step explanation:
We have to find the area of the circular bare spot
Given
Radius of bare spot = r = 8 inches
The formula for area of a circle is given by:
putting the value
Rounding off to nearest foot
201 ft^2
Hence,
The area of the bare spot the gardener needs to replant is 201 square feet
Keywords: Area, radius
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