Answer:
Step-by-step explanation:
5:6
6=384
5=
5×384÷6=320
Boys =302
Answer:
Complementary
Step-by-step explanation:
To be complementary, your two angles need to add up to 90 degrees
a right triangle is already 90 degrees so if you cut it through the middle they'd form complementary angles
b) (-3.5, 3)
c) (-5,0)
d) (-6,-2)
The probability of a customer buying carrots is 11.4 percent.
We can use the following formula to calculate the probability of event A happening given that event B has already happened:
P(A | B) = P(A and B) / P(B)
Where:
P(A | B) is the probability of event A happening given that event B has already happened
P(A and B) is the probability of both event A and event B happening
P(B) is the probability of event B happening
In this case, event A is buying carrots and event B is buying apples or carrots.
We know that the probability of buying apples or carrots is 17 percent. We also know that the probability of buying apples and carrots is 5 percent. Therefore, the probability of buying carrots is:
P(carrots) = P(carrots and apples or carrots) / P(apples or carrots) = 5 percent / 17 percent = 11.4 percent
Therefore, the answer is d. 11.4 percent.
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Answer:
C. 10.0 percent
Step-by-step explanation:
P(A) = 0.12
P(A\cap C)=0.05
P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)
0.17=0.12+P(C)-0.05
P(C)=0.17-0.12+0.05=0.10
Answer:
40 minutes
Step-by-step explanation:
We have a load and a discharge, given by a speed that would be a barrel / minute.
Which means that the loading rate is: 1/20
And the discharge rate: 1/40
Since they are contrary, the result would be the subtraction between these two rates:
1/20 - 1/40 = 1 / x
1 / x = 0.025
x = 1 / 0.025
x = 40
Which means it will take 40 minutes to fill under the mentioned conditions
B-(80, 130, 30)
C-(130, 90, 20)
D-(120, 80, 40)
Answer:
Option D. (120, 80, 40)
Step-by-step explanation:
Let the cost of 3 baseball cards bought by Andrew are $x, $y and $z.
Now we will form the equations to find the unknown values of x, y, and z.
Statement 1 - Andrew bought 3 baseball cards for $240
Equation will be (x + y + z) = 240 --------(1)
Statement 2 - Jack offered a deal to buy the first card for the double of its original value along with the second card for $320.
Equation will be 2x + y = 320 --------(2)
Statement 3 - Jack offered another deal to buy first card for the double of its original value along with third card for $280
Equation formed 2x + z = 280 ------(3)
Now we can solve these equations to get the values of x, y and z.
From equation 2
y = 320 - 2x
From equation 3
z = 280 - 2x
Now we can replace the values of y and z in equation number 1.
Equation 1 becomes after substitution of y and z values
x + (320 - 2x) + (280 - 2x) = 240
Now we will group the similar terms
(x - 2x - 2x) + (320 + 280) = 240
-3x + 600 = 240
-3x = 240 - 600
-3x = - 360
x =
x = 120
Now we put x = 120 in the value of y
y = 320 - 2x
y = 320 - 2×120
= 320 - 240
= 80
Similarly we put the value x = 120 in value of z
z = 280 - 2x
= 280 - 2×120
= 280 - 240
= 40
So the original values of 3 baseball cards are (120, 80, 40)
Option D. will be the answer.