Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
Answer:
×=4.2
Step-by-step explanation:
3.5x=14.7
÷3.5 ÷3.5
x=4.2
Answer:
Step-by-step explanation:
From the attachment, we can see that
<EBF = 33°
<EBD = 33°
<FED = 114°
<FBD = 66°
Part 2
The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h
The return speed is y + 10 = 70 + 10 = 80 km/h
Total time = 350/70 + 350/(70+10)
Total time = 5 + 4.375
Total time = 9.375 hr
The given equation of parabola is
Which can also be written as
Here vertex (h,k) is (1,2)
And value of a is
Formula of focus is
Substituting the values of h,k and a, we will get
Therefore the correct option is the last option .
The probability of rolling a 2 is 1/6. If X is a random variable representing the number of 2s that are obtained after rolling a die 23 times, then X follows a binomial distribution with success probability p = 1/6 across n = 23 trials.
The variance of a binomial distribution with parameters p and n is n p (1 - p), so the standard deviation in this case would be
√(23 • 1/6 • 5/6) ≈ 1.8
