Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Answer: A= 30 fruits and 50 vegetables
B= 50 fruits and 70 vegetables
Step-by-step explanation:
In the diagram/photo, there are 5 fruit blocks and 7 vegetable blocks. So, when they are ___ fruit blocks there are 2 more vegetable blocks than fruit blocks.
This is what came to me when I saw this question, sorry if it’s wrong :((
Answer:
- Step 1, all the exponents are increased by 4
Step-by-step explanation:
<u>The three steps are</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =
- x²×y⁸/y⁴×x⁸×x⁸×y² =
- x²×y⁸/y⁶×x¹⁶
<u>Correct solution should be:</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = all powers inside the parenthesis should be multiplied by 4 as per power of the power (xᵃ)ᵇ = xᵃᵇ
<u>This would give next steps:</u>
- x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =
- x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =
- y²⁰/x²⁴
<u>Answer options:</u>
Step 1, all the exponents are increased by 4
- There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)
Step 2, the exponents of the same base are added during multiplication
Step 3 wasn't performed yet, there was step 1 and 2.
- So answers about step 3 are irrelevant
Answer: The correct option is (1) Dependent.
Step-by-step explanation: For two events, we are given the following values of the probabilities :
P(A ∩ B) = 0.20, P(A) = 0.49 and P(B) = 0.41.
We are to check whether the events A and B are independent or dependent.
We know that
the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.
That is, P(C ∩ D) = P(C) × P(D).
For the given two events A and B, we have
Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.
Thus, the events A and B are NOT independent. They are dependent events.
Option (1) is CORRECT.
Answer:
What’s the numbers? Or the question?
Step-by-step explanation:
