6 boxes of spaghettis for 20 persons so that means 12 boxes for 40 persons since there are 50 persons we have 10 persons left since 10 is equals to 20 divided by 2, divide 6 by 2 which is equals to 3 then add 12
Answer: 15
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)
x - 9= 0 x + 19 = 0
x = 9 x = -19
Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9
The answer would be that both goalies are the same and have the same chance at blocking each shot.
This is because 25 out of 100 is %25 and that is also 1/4 in fraction form.
And then, the goal who can block %25 of shots is stated quite explicit so they are the same.
EXPLANATION: The questions asked which one " would lead to a better goalie under the normal circumstances where no one is affected", meaning that in this case, they always have that chance of blocking that many shots.
Since, there is no external factor affecting them, it is an exact 25% chance to block the shots.
Answer:
x ≥ 397
Step-by-step explanation:
x represents the rainfall in inches. The question seems incomplete, but this is what i got from the info you provided
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
