Hey there!!
(1) Both the angles sum up to be 180.
(2) Both the angles sum up to be 90
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(1) 4x+5+8x-5=180
... 12x=180
... x= 180/12
... x = 15
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(2) 4z+3z+6=90
... 7z+6=90
... 7z=84
... z=84/7
... x=12
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Hope it helps!
Answer:
After one unit is sold, Becky will break-even.
Step-by-step explanation:
Giving the following information:
Fixed costs= $1
Unitary variable cost= $21
Selling price= $22
<u>The break-even point is the number of units required to cover the fixed costs after deducting from the selling price the variable components. At this point, net income is zero</u>.
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 1 / (22 - 21)
Break-even point in units= 1
After one unit is sold, Becky will break-even.
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
Step-by-step explanation:
translated 8 units to the right and 2 units up then flipped
B 2/10 is not simplified because you can divide each number by 2 reducing it to 1/5.