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.
Answer:
Simplifying the expression:
we get 
Step-by-step explanation:
We need to simplify the expression: 
First we will solve terms inside the bracket

Converting mixed fraction
into improper fraction, we get: 
Replacing the term:

Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket

Now, combine like terms

Now, multiply all terms with 2

So, Simplifying the expression:
we get 
We know that,
Volume of sphere = 4/3πr³
72 = 4/3 × 22/7 × r³
72 × 21/88 = r³
³√17.18 = r
2.58 cm = r
:)
<u>SOLUTION:</u>
General Equation: y = mx + b
.
Substitute slope = -2 into the equation:
y = -2x + b
.
Find the y-intercept:
4 = -2(-3) + b
4 = 6 + b
b = -2
.
Substitute b = -2 into the equation:
y = -2x - 2
.
Answer: y = -2x - 2
Answer:
To know how much he bought it for, let's consider the actual amount it be x.
Step-by-step explanation:
10% of x + $585 = x
x/10 + $585 = x
$585 = x-x/10
$585= 9x/10
9x=$5850
x=$5850/9
x=$650
.: the actual price was $650.