Answer: 1.18
Step-by-step explanation:
Z = (x - mean) / standard deviation
Z = (85 - 71.4) / 11.5
Z = 13.6 / 11.5 = 1.18
(-2,7) and (14,21)
Find the slope by using the formula

Plug in the numbers.

Write it in point slope form first
y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
+ 7 +7
y = 7/8x + 8.75
Our final equation would be: <span>
y = 7/8x + 8.75</span>
Answer:
Answer will be 28
Step-by-step explanation:
We have to find the GCF( LCM(8,14) , LCM (7,12) )
Here GCF is stands for greatest common factor and LCM is stands for lowest common factor
Let first find LCM of (8,14)
8 = 2×2×2
14 = 2×7
So LCM will be 2×2×2××7 = 56
Now LCM of (7,12)
7 = 7×1
12 = 2×2×3
So LCM will be 2×2×3×7 = 84
Now GCF of (56,84)
56 = 2×2×2×7
84=2×2×3×7
So GCF will be 2×2×7 = 28
You need 12000 kernals. 1-liter is equal to (10cm)^3. If four kernels fill 1cm^3, it takes 4*1000 kernels to fill one liter. Therefore, to fill a 3-l soft drink bottle, it takes 3*4*1000=12000 kernels.