Answer:
81.85%
Step-by-step explanation:
Given :
The average summer temperature in Anchorage is 69°F.
The daily temperature is normally distributed with a standard deviation of 7°F .
To Find:What percentage of the time would the temperature be between 55°F and 76°F?
Solution:
Mean = 
Standard deviation = 
Formula : 
Now At x = 55
At x = 76
Now to find P(55<z<76)
P(2<z<-1)=P(z<2)-P(z>-1)
Using z table :
P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185
Now percentage of the time would the temperature be between 55°F and 76°F = 
Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.
Has to be greater than 90 degrees.
Answer:
Step-by-step explanation:
a) Maternal gene = 0.25; Paternal gene = 0.25
Probability having a birth defect = 0.25 X 0.25 = 0.625
b) P(A) = 0.30; P(B) = 0.70
P(A)*P(B) = 0.30 X 0.70 = 0.021
For marriage:
25%: P(A)*P(A)*0.25 = 0.09 X 0.25 = 0.0225
65%: P(B)*P(B)*0.65 = 0.049 X 0.65 = 0.03185
10%: P(A)*0.10 = 0.03 and P(B)*0.10 = 0.07
P(A)*P(B) = 0.03 X 0.07 = 0.0021
Probability of a defect birth in the next generation = 0.0225 + 0.03185 + 0.0021 = 0.05645
c) 1. P(A)*P(A) = 0.09
2. P(B)*P(B) = 0.049
3. P(A)*P(B) = 0.021
The quilt would be 1.13 yards wide
Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
