Answer: The probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
Step-by-step explanation:
Since we have given that
Number of times a coin tossed = 500
Number of times head occurs = 416
So, our Z-score would be

So, At significance level of 0.01, p-value of Z-score is .202704.
and p-value < 0.01, i.e. 0.202704<0.832.
Hence, the probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
C
because you just eliminate it
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Answer:
Step-by-step explanation:
inside the castle
Answer: Equation that represents this situation is 5(x+17) = 1495,
Price of one ticket is 282
Step-by-step explanation:
Here x represents the price of one ticket,
Also, a person bought travel insurance that costs $17 per ticket.
Hence, the total cost of a person = x + 17
⇒ The total cost of 5 person = 5 ( x + 17 )
But, According to the question,
5 ( x + 17 ) = 1495
⇒ x + 17 = 299
⇒ x = 299 - 17
⇒ x = 282
Hence, the price of one ticket = $ 282