8v + 8b = 240
4v + b = 54....multiply by -2
-------------------
8v + 8b = 240
-8v - 2b = - 108 (result of multiplying by -2)
------------------add
6b = 132
b = 132/6
b = 22 <== buses hold 22 students
4v + b = 54
4v + 22 = 54
4v = 54 - 22
4v = 32
v = 32/4
v = 8 <== vans hold 8 students
Answer:
see the attachment and Mark as brainleist please
F(x) = x^2
G(x) = -1/4 (x+7)^2
7 is added to x , so graph shifts left by 7 units
multiplied by negative , so reflected over x axis
and multiplied by 1/4 so vertical compression by a factor of 1/4
So graph of g(x) is shifted left by 7 units , reflected over x axis and compressed vertically by a factor of 1/4
Answer:
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Step-by-step explanation:
The data given is
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Hence d`= 7.75 and sd= 8.598
The 90% confidence interval for the difference in means for the paired observation is given by
d` ± t∝/2(n-1) *sd/√n
Here t∝/2(n-1)=1.895 where n-1= 8-1= 7 d.f
and ∝/2= 0.1/2=0.05
Putting the values
d` ± t∝/2(n-1) *sd/√n
7.75 ±1.895 * 8.598 /√8
7.75 ± 5.7605
1.989 ,13.5105
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Answer:
Apologiabiology Ambitious
v=vanilla
c=chocolate
A.
4v+c=45
v+c=27
b.
multiply 2nd equation by -1 and add to first
4v+c=45
-v-c=-27 +
3v+0c=18
3v=18
divide both sides by 3
v=6
sub bac
v+c=27
6+c=27
minus 6
c=21
21chocolate
6 vanila
Step-by-step explanation:
