B. 700
1000 out of 700 is the same as 10 out of 7 but simplified
Answer:
900
Step-by-step explanation:
Sum of interior angle for a polygon = (n-2)180
7 sides
=(7-2)180
=5*180
=900
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
the algebraic expression is 4(0.25)+2x=17
STEP 1: Simplify both sides of the equation
1+2x=17 or 2x+1=17
STEP 2: Subtract 1 from both sides
2x=16
STEP 3: Divide both sides by 2
2x/2 = 16/2
x=8
Answer:
a. 0.1576<p<0.2310
b. The two restaurants likely have similar order rates which are inaccurate.
Step-by-step explanation:
a. We first calculate the proportion,
:

-We use the z-value alongside the proportion to calculate the margin of error:

The confidence interval at 90% is then calculated as:
![CI=\hat p\pm MOE\\\\=0.1943\pm 0.0367\\\\=[0.1576,0.2310]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20MOE%5C%5C%5C%5C%3D0.1943%5Cpm%200.0367%5C%5C%5C%5C%3D%5B0.1576%2C0.2310%5D)
Hence, the confidence interval at 90% is [0.1576,0.2310]
b. From a above, the calculated confidence interval is 0.1576<p<0.2310
-We compare the calculated CI to the stated CI of 0.147<p<0.206
-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206
-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.