Answer:
8
Step-by-step explanation:
51 + 4x + 7 = 90 - combine like terms
58 + 4x = 90 - subtract 58 from each side
4x = 32 - divide both sides by 4
x = 8
Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
D. 4.25 < 43/10 < 13/3
4.25 = 4.25
43/10 = 4.3
13/3 = 4.33
4.25 < 4.3 < 4.33
Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where 
is the sample mean , 
is the population standard deviation , n is the sample size and 
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean : 
hours
Population standard deviation : 
hours
z-value for 93% confidence interval: 
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-
Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
Answer:
In simplest form, it should be:
3:2
6 / 2 = 3
4 / 2 = 2
Hope this helps!
