Answer:
e.29 d.1
Step-by-step explanation:
we will replace with the values we have :
- 300 that's a big number . Obviously it isn't a solution
- 50 : 30+50 = 80>60 so no
- 45: 30+45= 75 >60 so no
- 30+30 = 60 we have < not ≤ so no
- 1 yes . it's obvious
- 29 +30 = 59<60 so yes !
Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5
![A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\](https://tex.z-dn.net/?f=A%3D4%2C900%5Cbigg%281%2B%5Cdfrac%7B0.035%7D%7B2%7D%5Cbigg%29%5E%7B2%285%29%7D%5C%5C%5C%5C%5C%5C.%5Cqquad%20%3D%204900%281.0175%29%5E%7B10%7D%5C%5C%5C%5C%5C%5C.%5Cqquad%20%3D%20%5Clarge%5Cboxed%7B5%2C828.28%7D%5C%5C)
Answer:
Step-by-step explanation:
111 = 14
111 ÷ 14 = 14 ÷ 14
7.9 =
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°