Answer:
Step-by-step explanation:
She has 1 in 11 chances of getting the purple one
One of her choices is gone after she takes out the purple one. She has a 1 in 10 chance of taking out the gray one.
1/11 * 1/10 = 1/110
48 points gained in those 3 days.
Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.
Subtract 220-48.It‘ll be 172.
Add 172 with 96. 172+96=268.
Subtract 268 with how much points the stock market had 3 days ago. 268-220.
Sot eh stock market gained 48 points in 3 days.
That will be radius * radius theeeeeen multiply it on the height
9514 1404 393
Answer:
10. (x, y) = (-3/8, 2 9/16)
11. k = -1
Step-by-step explanation:
10. The value of x at the vertex is ...
x = -b/(2a)
x = -(-3)/(2(-4)) = -3/8
The corresponding value of y is ...
y = 2 +(-3/8)(-3 +(-3/8)(-4)) = 2 +(-3/8)(-3/2) = 2 +(9/16)
The vertex is (x, y) = (-3/8, 2 9/16).
__
11. The discriminant is zero when the roots are equal.
b² -4ac = 0
(k-1)² -4(1)(-k) = 0
k² -2k +1 +4k = 0
k² +2k +1 = 0 . . . . . collect terms
(k +1)² = 0 . . . . . . . . write as a square
k = -1 . . . . . . . . . . . . the value of k that satisfies
<em>Check</em>
x² -2x +1 = (x -1)² = 0 . . . . has equal roots: x=1.
This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
