Answer:
-9/4
Step-by-step explanation:
putting these to y/x form it is 9/-10 and -9/-6 which has a difference of -9/4 (hopefully this is correct-)
First, you should do the product first:
(-4.7)* (7.021)= -32.9987
Then, let's do the subtraction:
(-5.12)- (-32.9987)
= (-5.12)+ 32.9987
= 27.8787
Final answer: 27.8787
Hope this would help~
Answer:
1.92%
Step-by-step explanation:
The probability for first case, picking a queen out of deck, will be:
![\frac{4}{52}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B52%7D)
as there will be 4 queens in a deck, one of each suit.
For the second pick, the probability of picking a diamond card, will be:
![\frac{13}{52}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B52%7D)
here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).
Thus the net probability for both cases will be:
![P = \frac{4}{52} * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B4%7D%7B52%7D%20%20%2A%20%5Cfrac%7B13%7D%7B52%7D%5C%5C%20P%20%3D%20%5Cfrac%7B1%7D%7B52%7D%5C%5C%20P%20%3D%200.01923%5C%5CP%20%3D%201.923%5C%25%5C%5C%5C%5CP%20%3D%201.92%5C%25)
Thus total probability for the combined two cases will be 1.92%
The ordered pair which makes both inequalities true is (-2, 2).
It is given that inequalities are
y < -x + 1 and y > x
For y < -x + 1
Substituting every ordered pair,
1) (-3, 5)
⇒ 5 < - (-3) + 1
⇒ 5 < 3 + 1
⇒ 5 < 4 is false
2) (-2, 2)
⇒ 2 < -(-2) + 1
⇒ 2 < 2 + 1
⇒ 2 < 3 is true
3) (-1, -3)
⇒ -3 < - (-1) + 1
⇒ -3 < 1 + 1
⇒ -3 < 2 is true
4) (0, -1)
⇒ -1 < -0 + 1
⇒ -1 < 1 is true
Now , for y > x
1) (-3, 5)
⇒ 5 > -3 is true
2) (-2, 2)
⇒ 2 > -2 is true
3) (-1, -3)
⇒ -3 > -1 is false
4) (0, -1)
⇒ -1 > 0 is false
Therefore ,the ordered pair which makes both inequalities true is (-2, 2).
To know more about Inequalities here
brainly.com/question/11612965
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Answer:
your answer is 16
Step-by-step explanation: