Answer:
well basically for the first question it gives you
The rate that increases. which is 0.03 per second
And that R = 48 inches at time.
and T= 0.
The question wants you to determine the volume of the balloon at the time and find the volume when t= 300 seconds. so just replace 0 to 300.
Answer:
2.88
Step-by-step explanation:
they had already paid half the meal so they each have 12$ paid
20 percent of 24 is 4.80
8 percent of 24 is 1.92
4.80 - 1.92 = 2.88
thereflre Jacob paid 2.88 more than Kim.
17 is my answer. Make sure to study all the material before taking any major Test or Quizzes.
Happy studying ^-^
Answer:
Step-by-step explanation:
Hello!
The objective is to compare if the average time that families live in Gotham and Metropolis, the real state company thinks the average time is less in Gotham than in Metropolis. There are two populations of interest and therefore two variables:
X₁: Time a family has lived in Gotham.
n₁= 100 families
X[bar]₁= 35 months
S₁= 900 days
X₂: Time a family has lived in Metropolis.
n₂= 150 families
X[bar]₂= 50 months
S₂= 1050 days
You are studying the population means of both variables, so you have to work using the distribution of the sample means:
If:
X[bar]₁~N(μ₁;σ₁²/n₁)
X[bar]₂~N(μ₂;σ₂²/n₂)
We can say that the difference between these both distributions will have the following distribution:
(X[bar]₁-X[bar]₂)~N(μ₁-μ₂;σ₁²/n₁+σ₂²/n₂)
The population variance for the difference between the two sample means is:
σ₁²/n₁+σ₂²/n₂
Since both σ₁² = σ₂² = σ² we can say that:
σ² (1/n₁+1/n₂)To study the difference between two normal populations with unknown bu equal population variances the distribution to use is:
The estimation of the standard error of the difference is:
Sa= 992.8423≅ 992.84
The standard error of the difference between the two sample means is 128.18.
I hope this helps!
9514 1404 393
Answer:
55°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
m∠GDE = 180° -m∠FGD = 180° -125°
m∠GDE = 55°