<span>The
box office manager said that 5000 people attended the show.
Find the possible actual number of people who attended the show if he convert
it to the nearest hundred.
=> 5 000 = 5 thousands, 0 hundreds, 0 tens, 0 ones.
=> x xxx = actual number of people
who attended the show
=> x xxx = may be the actual number is 4 990 or more because he rounded the
number to it’s nearest hundreds.
=> 4 990 , hundredths place has a value of 9 and the next digit also has a
value of 9
thus when you round it, it will become 5000.
</span>
7x -7/2 y = -49
7/2 y = 7x + 49
y = 2x + 14
y - intercept = 14
x - intercept : 2x + 14 = 0 so x = -7
answer is C.
x - intercept : -7
y - intercept : 14
Answer:
n - 1
Step-by-step explanation:
(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)
Kindly check attached picture for simplification
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,

Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now, 
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.