Answer:
I assume you want the equation for the line in y=mx+b form, if not, you can just transfer this form to standard or intercept. y=(-3/4)x+2.5
Step-by-step explanation:
Since you have the slope and a point, plug in the points to the equation y=9-3/4)x+b to get 4=(-3/4)(-2)+b and solve.
Answer:
L=36
W=6
Step-by-step explanation:
If the length is six times the width than the width is equal to x. This would make the length 6x or 6 times x. The perimeter of the rectangle is all of the sides added together. So 6x+6x+x+x=14x
The perimeter equals 84 which gives you
14x=84
Divide by 14 on each side and x=6
The length is six times longer than the width which is 6x6 or 36 and the width would just remain 6.
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!
Answer:
The answer is below
Step-by-step explanation:
From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75
The confidence level (C) = 90% = 0.9
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.
The margin of error (E) is given as:
The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)
The confidence interval is between 1162.68 and 1618.82.
Answer:
14.45cm2
Step-by-step explanation:
The diagonal is the diameter of the circle.
4.6cm
The perimeter of the circle is
Pi x4.6= 3.142 * 4.6= 14.45cm2
