Answer:
Step-by-step explanation:
Given: The mean of the temperatures in the chart is 24° and standard deviation is 4°.
To find: How many years had temperatures within one standard deviation of the mean
Solution: Mean temperature μ = 24 , standard deviation σ =4
The lower and upper bound for temperature within one standard deviation of the mean is given as:
Lower bound = μ - σ = 24 - 4=20
Thus, the Lower bound is = 20
Upper bound = μ + σ = 24+ 4=28
Thus, the Upper bound is = 28
Now, The temperature value between (Lower bound, Upper bound) that is (20, 28) is said to be within one standard deviation of the mean.
Hence 27° is the temperature value that is within one standard deviation of mean.
Answer:
Circumference of Circle B=19.625cm
Step-by-step explanation:
The circumference formula is: 2pie(r) = pie(d)
We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,
Hence, we add 25% in 6:
6+25/100 =6+0.25=6.25 cm
Therefore, we have diameter of 6.25 for circle B.
Now, we need to find the circumference of the Circle A.
circumference= pie(d) = pie(6)= 3.14times6= 18.84
Now use the proportional reasoning to find Circumference of Circle B:
circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B
18.84/6=circumference of Circle B/6.25
Cross multiply and divide:
(18.84times6.25)/6 = Circumference of Circle B
Solve:
Circumference of Circle B=19.625cm
Hope this helps!
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Answer:
A= $40584.28
Step-by-step explanation:
P = 36000
r = 12% = 0.12
n = 52 weeks
t = 1


Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to

where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so

substitute in the formula above

solve for x



therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Answer:
Step-by-step explanation:
g(-4) = 4 , x < -2
g(-2) = (x - 1)² ; -2≤x< 1
= (-2-1)²
= (-3)²
g(-2) = 9
g(0) = (x -1)² ; -2 ≤ x < 1
= (0 -1)²
= (-1)²
= 1