Answer:
Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)
Step-by-step explanation:
Given: Probability of a children under age 5 has food allergies = 7%
=
To find : Probability of atleast one of 12 student has food allergies
Probability of a chindren under age 5 does not have food allergies = 
⇒ prob = 
now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.
But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)
Probability of 0 student having allergy out of 12 student = 
Therefore, Probability of atleast one of 12 student has food allergies
= 
= 
≈ 0.58 ( approx)
Answer:
50%,5%. Red, Green
Step-by-step explanation:
30/60=1/2=50%
3/60=1/20=5%
red has the highest number
green has the lowest
The roots of 5x² - 4x + 3 = 0 are non-real
Step-by-step explanation:
In the quadratic equation ax² + bx + c = 0, the discriminant is
b² - 4ac, where a , b , c are constant
- If b² - 4ac ≥ 0, then the roots of the equation are real
- If b² - 4ac < 0, then the roots of the equation are non-real
∵ The quadratic equation is 5x² - 4x + 3 = 0
∵ The general form of the quadratic equation is ax² + bx + c = 0
∴ a = 5
∴ b = -4
∴ c = 3
∵ The discriminant is b² - 4ac
- Substitute the value of a , b and c in the discriminant
∴ b² - 4ac = (-4)² - 4(5)(3)
∴ b² - 4ac = 16 - 60
∴ b² - 4ac = -44
∵ -44 < 0
∴ b² - 4ac < 0
∴ The roots of the equations are non-real
The roots of 5x² - 4x + 3 = 0 are non-real
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The right answer is Option D: $5.44
Step-by-step explanation:
Given,
Cost of one sun visor = $6.25
Cost of 11 sun visors = 6.25*11 = $68.75
Cost of one sunglasses = $8.90
Cost of 4 sunglasses = 8.90*4 = $35.60
Cost of one water bottle = $9.50
Cost of 8 water bottles = 9.50*8 = $76
Cost of one whistle = $1.75
Cost of 15 whistles = 1.75*15 = $26.25
Total number of items = 11+4+8+15 = 38
Total cost of items = 68.75+35.60+76+26.25 = $206.60
Average = 
Rounding off to nearest hundredth
Average = $5.44
The average price of an item is $5.44
The right answer is Option D: $5.44
Keywords: average, sum
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