<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We can find 'a' through Pythagoras theorem.</u>
- => 8² = 3² + a²
- => 64 = 9 + a²
- => a² = 55
- => a = √55
- => a = 7.416 = 7.4
Hoped this helped.
Answer:
-5 = -5.4n
Step-by-step explanation:
- 2.4n -3 = -7.8n+2
add 2.4 to both sides
which would give you
-3 = -5.4n + 2
then you would subtract -2 from both sides
and -5 = -5.4n and this is one solution
Answer:
0.3085,0.2417,0.0045
Step-by-step explanation:
Given that X, the amount of money spent at shopping centers between 4 P.M. and 6 P.M. on Sundays has a normal distribution with mean $85 and with a standard deviation of $20.
X is N(85, 20)
To convert into std normal variate we use the following formula

a) the probability that he has spent more than $95 at the mall
=
b. the probability that he has spent between $95 and $115 at the mall
=
c. If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $115 at the mall
=product of two probabilities since independent
= 
Answer: 75
Step-by-step explanation: 100 / 20 =5
15x 5= 75
Answer:
<a=138°
<b=42°
<c=138°
<d=138°
<e=42°
<f=42°
Step-by-step explanation:
<a is supplementary with the 42° angle:
<a=180°-42°=138°
<b and the 42° are vertical angles, so:
<b=42°
<c and <a are also vertical angles so:
<c=<a=138°
<d and <a are corresponding angles, so:
<d=<a=138°
<e and <b are corresponding angles, so:
<e=<b=42°
<f and the 42° angle are corresponding angles, so:
<f=42°
<g and <c are corresponding angles, so:
<g=<c=138°