Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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Answer:
0.018 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 60,000 miles
Standard Deviation, σ = 1500 miles
We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.
Formula:
P(brand will last between 56,850 miles and 57,300 miles)
0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.
Its 7 ways they all can be seated
Answer:
The correct options are a and b.
Step-by-step explanation:
It is given that triangle ABC with segment AD drawn from vertex A and intersecting side BC.
Two triangle are called similar triangle if their corresponding sides are proportional or the corresponding interior angle are same.
To prove ΔABC and ΔDBA are similar, we have to prove that corresponding interior angles of both triangle as same.
If segment AD is an altitude of ΔABC, then angle ADB is a right angle.

The opposite angle of hypotenuse is right angle. If segment CB is a hypotenuse, then angle ABC is a right angle.

In triangle ΔABC and ΔDBA
(Reflexive property)
(Right angles)
By AA rule of similarity ΔABC and ΔDBA are similar.
Therefore correct options are a and b.
Let the variable be x
A number isn’t given so pick any number.
Let’s use 10
Set up the equation to get:
X + 10 = -8
Solve for the variable by subtracting 10 from both sides:
X = -18
Let the variable be y and pick any number, let’s use the number 2.
Equation: 2 x y = 4/5
Solve for y by dividing both sides by 2:
Y = 2/5