Answer:
h=8
Step-by-step explanation:
a²+b²=c²
a=A
b=12
c=13
therefore substitute
A²+(12)²=(13)²
A²=13²-12²
A²=25
A=5
h=3+A
h=3+5
h=8
Answer:
The usually speed of the bus is 50 miles/h.
Step-by-step explanation:
Let the usual speed of the bus be x mile/hour.
We know that


The bus travels 200 miles.
To reach its destination it takes time
h
This week however the bus leaves at 5:40.
The bus late 40 minutes

Now the speed of the bus is = (x+10) miles/h
The new time to reach the destination is
h
According to the problem,

![\Rightarrow 200[\frac{x+10-x}{x(x+10)}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7Bx%2B10-x%7D%7Bx%28x%2B10%29%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
![\Rightarrow 200[\frac{10}{x^2+10x}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7B10%7D%7Bx%5E2%2B10x%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
⇒2(x²+10x)=200×10×3
⇒x²+10x = 3000
⇒x²+10x -3000=0
⇒x²+60x-50x-3000=0
⇒x(x+60)-50(x+60)=0
⇒(x+60)(x-50)=0
⇒x= -60,50
∴x=50 [since speed does not negative]
The usually speed of the bus is 50 miles/h.
<span>(1 + 5 ) x 2 = 12 1
+ [(5 x 2) – 2] = 10 </span>
<span>1 + [5 x (2 – 2)] = 1 [1
+ (5 x 2)] – 2 = 9</span>
<span>8 = 12 – [8 / (4 / 2)] 11 = 12 – [(8 / 4) / 2]</span>
<span>½ = [(12 – 8 ) / 4] / 2 20
= 6 x 4 – 4 x 5 </span>ß----can’t figure it out …sorry
<span>0 = 6 x
(4 – 4) x 5 100
= [(6 x 4) – 4] x 5</span>
<span>24 = [14 –(8 -2)] x 3 0=
(14 –8) – (2 x 3)</span>
<span>12 = [{14 – 8)
- 2] x 3 12
= 14 – [8 - (2 x 3)]</span>
Answer:
H0 : p = 0.028
H1: p > 0.028
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
Type 11 error
Step-by-step explanation:
H0 : p = 0.028
H1: p > 0.028
If null should not be rejected then;
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
3.)
If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed