Answer:
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215
Step-by-step explanation:
A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:
where:
h(x) is the probability of x successes,
n is the number of attempts,
A is the number of successes
N is the number of elements
For this problem:
A = 30, x = 5, N = 50, n = 10
The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is
P(x=5) = 0.215
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215
Answer:
bags of popcorn = 10%
sodas = 15.78%
overall increase was 12.5%
Step-by-step explanation:
We must calculate the unit price of each product, before and after.
Before:
bags of popcorn = 7.50 / 3 = 2.5
sodas = 3.80 / 2 = 1.9
Then:
bags of popcorn = 8.25 / 3 = 2.75
sodas = 4.40 / 2 = 2.2
Now, we calculate for each:
bags of popcorn = 2.75 / 2.5 = 1.1
which means that the increase was 10%
sodas = 2.2 / 1.9 = 1.1578
Which means that the increase was 15.78%
If we calculate the percentage of total increase it would be:
(2.75 + 2.2) / (2.5 + 1.9) = 1,125
Therefore the overall increase was 12.5%
Answer:
Y= –4X+3
Step-by-step explanation:
Aight, check this out. the X and Ys are gonna form a linear equation.
Y=aX+b
3=a(0)+b===> b=3, so there you got for b
–1=a(1)+3===> a= –4
and the final touch
Y= –4X+3
Speed traveling west = x - 10 km /hr
275 / ( x-10) - 300 / x = 1/2
275 *2x - 300 (x-10)*2 = ( x-10) *x
550x - 600x +6000 = x^2 -10x
x^2 +40x - 6000 = 0
( x -60) ( x+100) = 0
x = 60
ANSWER East = 60 km/ hr West = 50 km /hr
CHECK
300 /60 = 5 hours
275 /50 = 5.5 hours
Answer:
equals
Step-by-step explanation:
2 gallons equals 32 cups
