Step-by-step explanation:
So the answer for 33+45+78 is 156.
If you want to check that, you can use inverse operations, so subtract.
156-78=78. (Check 78)
78-45=33 (Check 45 and 33)
Well, now it's checked because we used all the factors of the equation!
M∠E ≅ m∠J
m∠F ≅ m∠K
m∠G ≅ m∠L
So, m∠ L is 58.
Answer:
See below.
Step-by-step explanation:
Let x = amount of money you have in your account.
The money in your account plus the $125 extra that you need equals the total cost of the computer.
The equation is:
x + 125 = 2250
Now we solve the equation by subtracting 125 from both sides.
x = 2125
Answer: You have now $2125 in your account
Answer:
About 5.5, but it is technically closer to 5.6 so I am not entirely sure
Step-by-step explanation:
Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:

Hope this helps!
Answer:
Step-by-step explanation:
A suitable table or calculator is needed.
One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...
0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16
__
The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...
0.66799·26,000 = 1737 . . . . . below 19.76
_____
<em>Comment on the first number</em>
The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.