45 is exactly half of 90
that means 45 is 50% of 90.
Answer:
Variance = 1,227.27
Standard deviation = 35.03
Step-by-step explanation:
To calculate these, we use the following formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 20
x = each value
Therefore, we have:
Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674
Mean = 1,674 / 20 = 83.70
Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27
Standard deviation = 1,227.27^0.5 = 35.03
Answer:
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Step-by-step explanation:
If the scale factor of dilation is greater than 1, the image is an enlargement.
If the scale factor of dilation is between 0 and 1, the image is a reduction.
Step-by-step explanation:
mark as brainliest
quivk
quick
quick⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️1️⃣0️⃣9️⃣6️⃣3️⃣
Let full be f and gallons be g
23f-2g=12f
2g=23f-12f
2g=11f
g=5.5f
note 23f is when it is full and x is the number of gallons the container can hold.
g=5.5f
xg=23f
x=46÷11
∴x approximately is 4.9