The correct answer is y = 11
because:
2y + 7 = 3y − 4
−y + 7 =−4
Subtract 7 from both sides.
−y + 7 − 7 = − 4 − 7
−y = −11
Divide both sides by -1.
y = 11
Answer:
4. About 2,700 in2
Step-by-step explanation:
The area of a circle (
), measured in square inches, is directly proportional to the square of its diameter (
), measured in inches. That is:


Where
is the constant of proportionality, dimensionless.
In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that
,
and
, then:


Therefore, the correct answer is 4.
Heya!
Here is your answer:
6a²-15a-8a+20
= 3a(2a-5) -4(2a-5)
= (3a-4)(2a-5)
:)
Answer:
A.

Step-by-step explanation:

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.