Answer:
193900
Step-by-step explanation:
thx for points
Answer:
<h2>i) 3</h2><h2>ii) 5</h2>
Step-by-step explanation:
Let H be the set of students who play Hokey
V be the set of students who play Volleyball
S be the set of students who play Soccer
======================================
card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]
= 73 - [50 + (58-50) + (62-50)]
= 73 - [50 + 8 + 12]
= 73 - 70
= 3
………………………………………………
Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]
= 100 - 95
= 5
…………………
<u><em>Note</em></u> :
A Venn diagram might be helpful in such case.
Draw whats on the paper, thats your answer
Answer:
1. y= 25400(1 + 0.11)^x
2. 2019
Step-by-step explanation:
1. y = a(1 + r)^x <em> </em>
<em>(exponential growth formula :</em>
<em>a = initial value (the amount before measuring growth or decay)
</em>
<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal)
</em>
<em>
x = number of time units that have passed)</em>
y= 25400(1 + 0.11)^x
so in 1 year, in 1996, we would say
y=25400(1+0.11)^1
y=25400(1.11)
y=28194
2. I found the answer by plugging in numbers into x
with x = 24
y= 25400(1+0.11)^24
y= 310874
so in 24 years, the population will surpass 302438 which would be 1995+24= 2019
Answer:
the answer is below
Step-by-step explanation:
The z score is used to calculate by how many standard deviations the raw score is above or below the mean. The z score is given as:
1) For x = 3
For x = 6
P(3 ≤ x ≤ 6) = P(-0.5 ≤ z ≤ 1) = P(z < 1) - P(z < -0.5) = 0.8413 - 0.3085 = 0.5328
2) For x = 50
For x = 70
P(50 ≤ x ≤ 70) = P(0.67 ≤ z ≤ 2) = P(z < 2) - P(z < 0.67) = 0.9772 - 0.7486 = 0.2286
3) For x = 8
For x = 12
P(8 ≤ x ≤ 12) = P(-2.19 ≤ z ≤ -0.94) = P(z < -0.94) - P(z < -2.19) = 0.1736 - 0.0143 = 0.1593
4) For x = 30
P(x ≥ 30) = P(z ≥ 2.94) = 1 - P(z < 2.94) = 1 - 0.9984 = 0.0016
5) x = 90
P(x ≥ 90) = P(z ≥ -0.67) = 1 - P(z < -0.67) = 1 - 0.2514 = 0.7486
6) For x = 10
For x = 20
P(10 ≤ x ≤ 20) = P(-1.25 ≤ z ≤ 1.25) = P(z < 1.25) - P(z < -1.25) = 0.8944 - 0.1056 = 0.7888
7) For x = 7
For x = 9
P(7 ≤ x ≤ 9) = P(1.67 ≤ z ≤ 3.33) = P(z < 3.33) - P(z < 1.67) = 0.9996 - 0.9525 = 0.0471
8) For x = 40
For x = 47
P(40 ≤ x ≤ 47) = P(-0.67 ≤ z ≤ -0.2) = P(z < -0.2) - P(z < -0.67) = 0.4207 - 0.2514 = 0.1693
9) x = 120
P(x ≥ 120) = P(z ≥ 7.33) = 1 - P(z < 7.33) = 1 - 0.9999 = 0.001
10) x = 2
P(x ≥ 2) = P(z ≥ -4) = 1 - P(z < -4) = 1 - 0.0001 = 0.999