105 is a composite number. 105 = 1 x 105, 3 x 35, 5 x 21, 7 x 15. Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105. Prime factorization: 105 = 3 x 5 x 7.
Answer:
<em>78 eggs</em>
Step-by-step explanation:
13 × 6 = 78 eggs
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Answer:
A and C on Edge
Step-by-step explanation:
Just completed the assignment
Answer:
$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.
Step-by-step explanation:
x = cost of the ice cone cone
y = cost of the funnel cake
3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50
5x + 8y = 35.25 do not change ⇔ +<u> 5x + 8y = 35.25</u>
-x = -4.25
x = 4.25 cost of the ice cream cone
Substitute into the second equation x = 4.25 and solve for y
5(4.25) + 8y = 35.25
21.25 + 8y = 35.25
8y = 14
y = 1.75 cost of the funnel cake
Answer:
Step-by-step explanation:
Since the incubation times are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = incubation times of fertilized eggs in days
µ = mean incubation time
σ = standard deviation
From the information given,
µ = 19 days
σ = 1 day
a) For the 20th percentile for incubation times, it means that 20% of the incubation times are below or even equal to 19 days(on the left side). We would determine the z score corresponding to 20%(20/100 = 0.2)
Looking at the normal distribution table, the z score corresponding to the probability value is - 0.84
Therefore,
- 0.84 = (x - 19)/1
x = - 0.84 + 19 = 18.16
b) for the incubation times that make up the middle 97% of fertilized eggs, the probability is 97% that the incubation times lie below and above 19 days. Thus, we would determine 2 z values. From the normal distribution table, the two z values corresponding to 0.97 are
1.89 and - 1.89
For z = 1.89,
1.89 = (x - 19)/1
x = 1.89 + 19 = 20.89 days
For z = - 1.89,
- 1.89 = (x - 19)/1
x = - 1.89 + 19 = 17.11 days
the incubation times that make up the middle 97% of fertilized eggs are
17.11 days and 20.89 days
