Answer: 63.3
Step-by-step explanation:
9.5v + 8.7w
v = 3
w = 4
9.5(3) + 8.7(4)
28.5 + 34.8
63.3
Answer:
$3599.57
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^t
where Accrued amount is to be determined
P = principal; $3200
r = 4% = 0.04
t = number of years = 3
Therefore
Accrued amount = 3200 (1 + 0.04)^3
= 3200 x 1.04^3
= 3200 x 1.1249
= 3599.57
The total amount after 3 years is $3599.57
Answer:
Ummm... ya its a becasue 95 is more then 50 (brainlest plzzzzzzzzzzzzzz)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = 
= 35°
m∠8 = m∠9 = 
= 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
Answer:
Poisson Distribution , P(x<2) = 0.1446
Step-by-step explanation:
This is a binomial distribution question with
sample space, n = 300
probability of diagnosed with ASD, p = 1/88 = 0.0114
probability of not diagnosed with ASD, q = 1 - p = 0.9886
Mean, m is given as np = 300 * 0.0114 = 3.42
variance, v = npq = 300 * 0.0114 * 0.9886 = 3.38101
standard deviation, s = square root of variance = 3.38101^(0.5) = 1.83875
This binomial distribution can be approximated as Poisson Distribution since
n > 20 and p < 0.05
For a Poisson Distribution
P(X = x) = [e^(-m) * m^(x)]/ x!
b) x = 2
P(X < 2) = P(X = 0) + P(X = 1)
using the z score table and evaluating, we obtain
P(x<2) = 0.1446
