I really hate these algebra problems pretending to be geometry.
Anyway angles B and D are congruent in a parallelogram. Geometry part done.
4n - 2 = 2n + 32
2n = 34
n = 17
Answer: 17, which is the 3rd choice
Answer:
now just half the first triangals answers
Step-by-step explanation:
x =21
y=24
<u>TH</u>=24 <u>PQ</u>=12
<u>RH</u>=24 <u>NQ</u>=12
<u>RT</u>=21 <u>NP</u>=10.5
>T=80 >P=80
>H=20 >Q=20
>R=80 >N=80
Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Mean equal to 23.
This means that 
(a) P(X >10)

So
P(X > 10) = 0.6473
(b) P(X >20)

So
P(X > 20) = 0.4190
(c) P(X <30)

So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So






Answer:
The Pacific seahorse eats 8 shrimp per day
Step-by-step explanation:
<u><em>The complete question is</em></u>
As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats the same amount each day.
a) How much shrimp does the Pacific seahorse eat per day?
Complete the statement with the unit rate.
The Pacific seahorse eats _____ shrimp per day.
Part a) How much shrimp does the Pacific seahorse eat per day?
Let
x ---> the number of shrimp that the Pacific seahorse eats per day
we know that
The number of shrimp that the Pacific seahorse eats per day, multiplied by the number of days in a week, must be equal to 56 shrimp

so
The linear equation that represent this situation is equal to

solve for x
Divide by 7 both sides

therefore
The Pacific seahorse eats 8 shrimp per day
There is a 2/9 chance that both marbles drawn will be blue.