Answer:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
Answer:
9-8
Step-by-step explanation:
60 divided by 7 is 8.5
Answer: 2.28%
Step-by-step explanation:
μ = 71.8
σ = 3.4
X < 65
P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)
According to the table for the normal distribution attached, it will give us
P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:
0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228
In percentage: 0.0228*100 = 2.28%
Answer:
a) 0.8413
b) 0.6293
Step-by-step explanation:
Data provided:
Mean tax paid = $2000
Standard deviation = $500
Sample size, n = 625
n=625
Now,
a) P( average tax paid on the sample forms is greater than $1980)
⇒ P(X > 1980)
or
⇒ 
or
⇒ 
or
⇒ P(Z > -1)
or
= 0.8413 (From standard normal table)
b) P(more than 60 of the sampled forms have a tax of greater than $3000)
given: p = 10% = 0.1
Now, by using CLT
mean = n × p
= 625 × 0.1
= 62.5
Standard deviation, s =
=
= 7.5
Thus,
P(X > 60)
= 
or
= P(Z > -0.33)
= 0.6293 (From standard normal table)
Step-by-step explanation:
5:1 =<u> </u><u>5</u>
<u> </u><u> </u><u> </u> 1
= <u>5</u><u> </u><u> </u>× 30
<u> </u><u> </u><u> </u><u> </u>1
any standing alone is on one so
<u>6</u><u> </u>× <u>3</u><u>0</u>
1 1
<u>1</u><u>8</u><u>0</u>
1
180
