42...But try to get another answer though because I’m not 100 percent correct
Answer:
Possibility that the students selected are both girls = 31.25%
Step-by-step explanation:
It is given that
A science class have 5 girls and 3 boys in 7th grade
And 2 girls and 2 boys in the 8th grade
In 7th grade total students = 8
In 8th grade total students = 4
Total possibilities = 8 x 4 = 32
The teacher randomly selects a 7th grade and an 8th grade
The number ways a girl selected from 7th grade = 5c1 = 5
The number ways a girl selected from 8th grade = 2c1 = 2
Total possibilities = 5 x 2 = 10
Probability that the students selected are both girls =10 /32 = 31.25%
The first step would be applying the distributive property.
2x - 1(5 - 3x) = 4x + 2
Distributive property.
2x - 5 + 3x = 4x + 2 is what the equation looks like after successfully applying the distributive property.
Answer:
6 : 1
Step-by-step explanation:
divide by 3 on both sides
18 ÷ 3 = 6
3 ÷ 3 = 1
6:1
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of game won by team that won the coin toss at the beginning of overtime 
The level of significance is 
The population proportion is evaluated as


Since the population proportion is 0.485
0.5 which implies that the coin toss is fair then
The Null hypothesis is

and The Alternative hypothesis is

The test statistics is evaluated as follows
![t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5Bx%20%20%2B%20p%5D%20-%20%5B%5Cfrac%7Bn%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7Bn%7D%20%7D%7B2%7D%20%7D)
substituting values
![t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5B194%20%20%2B%200.485%5D%20-%20%5B%5Cfrac%7B400%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7B400%7D%20%7D%7B2%7D%20%7D)

=> 
now the critical value of
for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is

This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair