Answer:
x = -6 and y = 9
Step-by-step explanation:
It is given that,
0.12x - 0.07y = -1.35 -----(1)
0.4x + 0.8y = 4.8 -----(2)
<u>To find the value of x and y</u>
eq(1) * 100 ⇒
12x + 7y = -135 -----(3)
eq(2) /0.4 ⇒
x + 2y = 12 -----(4)
eq(4) * 12 ⇒
12x + 24y = 144 ---(5)
eq(5) - eq(3) ⇒
12x + 24y = 144 ---(5)
<u>12x - 7y = -135 </u> -----(3)
0 + 31y = 279
y = 279/31 = 9
Substitute the value of y in eq(4)
x + 2y = 12 -----(4)
x + 2*9 = 12
x = 12 - 18 = -6
Therefore x = -6 and y = 9
The probability that a person wins the game is 32.1%
<h3>How to illustrate the probability?</h3>
Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more has a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴
= 1/1296
Learn more about probability on:
brainly.com/28021921
#SPJ1
Answer:
Step-by-step explanation:On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent").
Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent").
If the tree 5m=500 cm
The tree 4m=400cm
Answer:
4.5
Step-by-step explanation:
because if you divide 54 and 36 you get 1.5 and 1.5 x 3 is 4.5
