Answer:
x<7/2
Step-by-step explanation:
5+8x<3(2x+4)
5+8x<6x+12
8x-6x<12-5
2x<7
x<7/2
The formula is y = mx+b where m is the slope and b is the y intercept.
y = 0x + b
7 = (-6)0 + b
7 = 0 + b
b = 7
y = +7
Answer:
Two-fifths
Step-by-step explanation:
Because half 10 is 5 therefore 5 divided by 2 is two-fifth
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:
The width of the second triangle is 2cm
Step-by-step explanation:
To calculate this we first have to calculate the ratio of the width to the length
for this we divide the width by the length
3.2cm / 8cm = 0.4
Now that we have the relationship, we multiply the length of the new rectangle by 0.4 and we will obtain the width of this rectangle
5cm * 0.4 = 2cm
The width of the second triangle is 2cm