Answer:
47
Step-by-step explanation:
Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.
so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.
so 63 - 15 - 1 = 47
There are 47 integers between 15 and 63
Hope this helps :)
Answer:
0.21186
Step-by-step explanation:
We solve the above question using the z score formula.
z = (x-μ)/σ, where
x is the raw score = 3100g
μ is the population mean = 3500g
σ is the population standard deviation = 500g
z = 3100 - 3500/500
z = -0.8
Probability value from Z-Table:
P(x<3100) = 0.21186
The probability that a baby is born that weighs less than 3100g is 0.21186
Given:
Principal = $3,500
Rate of interest = 7% compounded quarterly (4 times in an year)
Time = 6 years
To find:
The amount.
Solution:
The formula for the amount is
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Putting P=3500, r=0.07, n=4 and t=6 in the above formula, we get
Therefore, the amount after 6 years is $5307.55.
Answer:
24 miles
Step-by-step explanation:
Distance formula (d):
D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Home to library
(-4, 1) ; (-4, 9)
D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)
D1 = 8
Library to park :
(-4, 9) ; (2, 1)
D1 = sqrt((2 + 4)^2 + (1 - 9)^2)
D3 = 10
Park to home :
(2, 1) ; (-4, 1)
D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)
D2 = 6
Answer:
<u>The correct answer is D. 414 in squared.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Area of the first circle = 11.5 inches ²
2. Let's calculate the area of the new circle, given that the radius of the first circle is multiplied by 6.
Area of the first circle = 11.5 inches ²
Let's find the radius:
π * r² = 11.5
r² = 11.5 / 3.1416
r² = 3.66055513
r = 1.91 inches
The first circle has a radius of 1.91 inches
So, the radius of the second circle is 1.91 * 6 = 11.48 inches
Area of the second circle = π * r²
Area of the second circle = 3.1416 * 11.48²
Area of the second circle = 3.1416 * 131.79
Area of the second circle = 414.03 inches ²
<u>Area of the second circle = 414 inches ² (Rounded to the nearest whole number)</u>
<u>The correct answer is D. 414 in squared.</u>