Answer:
<u>c/d = 5x/3</u>
Step-by-step explanation:
<u>Given :-</u>
c/d - a/b = x
a = 2c
b = 5d
<u>To Find :-</u>
Value of c/d in terms of x
<u>Solving :-</u>
Substitute value of a and b.
c/d - 2c/5d = x
3c/5d = x
c/d = 5x/3
<u>Solution :-</u>
<u>c/d = 5x/3</u>
Answer:
The confidence interval for this proportion = (0.09, 0.13)
Step-by-step explanation:
Confidence Interval for Proportion =
p ± z ×√p(1 - p/n)
p = proportion = x /n
x = 71
n = 635
p = 71/635
p = 0.1118110236
p ≈ 0.1118
z score for 90% confidence interval = 1.645
Confidence Interval =
0.1118 ± 1.645 × √0.1118 (1 - 0.1118)/635
0.1118 ± 1.645 × √0.09930076/635
0.1118 ± 1.645 × √0.0001563791
0.1118 ± 1.645 × 0.0125051629
0.1118 ± 0.020570993
Confidence Interval =
0.1118 - 0.020570993
= 0.091229007
Approximately to the nearest hundredth ≈ 0.09
0.1118 + 0.020570993
= 0.132370993
Approximately to the nearest hundredth = 0.13
Therefore, the confidence interval for this proportion = (0.09, 0.13)
Answer:
Husky and pitbull
Step-by-step explanation:
I Think this will be my favorite breed because it may have some different eye colors
<u><em>Answer:</em></u>
$5
<u><em>Step-by-step explanation:</em></u>
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
<u><em>Check:</em></u>
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
<em>I hope this helps!!</em>
<em>- Kay :)</em>
You know that the radical is in the simplest expression form if there are not squares or cubed roots in the radical. If there is then it can be simplified more. When the radical can no longer be simplified then it is in the simplest form