Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Step-by-step explanation:
Part 1) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 2) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 3) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

substitute the values





Part 4) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 5) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Adding 220 + 360 = 580 total students.
5% of 580
(5/100)*580 = 29
29 teachers are employed
Answer:
<em>x = 2</em>
Step-by-step explanation:
<u>Exponential Equations</u>
Solve:

Separate each exponential:

Operating:

Multiplying by 5:

Rearranging:

Recall that:


Calling


Factoring:

There are two possible solutions:
y=25
y=-50
Since

y cannot be negative, thus:

The solution is:
x = 2
Answer:
You firstly multiply 25,5cm with 20cm equals to 510cm then you divide it with 150 equals 3,4cm
Step-by-step explanation:
(25.5cm × 20cm) ÷ 150cm
≈510cm ÷150cm
≈3,4
Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z=
where
- p(s) is the sample proportion of specimens yield before the theoretical point (
)
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z=
=0.3953
and the P-value is then P(z)≈0.3463