Answer:
<h2>5 cm</h2>
Step-by-step explanation:
step one:
Given that the scale of the map is
2cm to represent 30 miles
That is every 1 cm is 15 miles in reality
step one:
what we are solving for is the distance in cm on the map so,
1cm rep 15miles
xcm rep 75miles
cross multiply
Xcm= 75/15
X= 5 cm
hence on the map 75miles distance between the two towns is seen as 5 cm
Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:

where
is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of
is positive.
Let 
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.

Putting value of a and h in the equation:

Formula used: 
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing
and
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is 
Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean 
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,



The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,

Where,
is standard deviation
Substitute the values,





The standard deviation of weight for this species of cockroaches is 4.62.
Answer:
12
Step-by-step explanation:
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = 12
Answer: 12
Answer:
36
Step-by-step explanation:
Compare what you have to the square ...
(a +b)^2 = a^2 +2ab +b^2
Your "a" is √(25x^2) = 5x
Your "2ab" is -60x. Since you know "a", you can find "b".
2ab = -60x
2(5x)b = -60x . . . . . . . substitute for "a"
b = -60x/(10x) = -6
Then the missing term is b^2 = (-6)^2 = 36.
Your trinomial is ...
25x^2 -60x +<u>36</u>