Answer:
i) P(X<33) = 0.9232
ii) P(X>26) = 0.001
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 30
Given that the standard deviation of the Population = 4
Let 'X' be the Normal distribution
<u>Step(ii):-</u>
i)
Given that the random variable X = 33
>0
P(X<33) = P( Z<1.5)
= 1- P(Z>1.5)
= 1 - ( 0.5 - A(1.5))
= 0.5 + 0.4232
P(X<33) = 0.9232
<u>Step(iii) :-</u>
Given that the random variable X = 26
>0
P(X>26) = P( Z>3.5)
= 0.5 - A(3.5)
= 0.5 - 0.4990
= 0.001
P(X>26) = 0.001
98cm^2 - bigger triangles are 28 each, bottom one is 14. (28 x 3) + 14=98
Answer:
859
Step-by-step explanation:
The demand for Coke products varies inversely as the price of Cole products.
Mathematically:
D α 1/p
Where D = demand, p = price of coke product
D = k/p
Where k = constant of proportionality.
Let us find k.
k = D * p
When Demand, D, is 1250, price, p, is $2.75:
=> k = 1250 * 2.75
k = $3437.5
Now, when price, p, is $4, the demand will be:
D = 3437.5/4
D = 859.375 = 859 (rounding to whole number)
The demand for the product is 859 when the price is $4.
Answer:
0.13093
Step-by-step explanation:
Give. That :
Population mean = 40% = 0.4
Sample size (n) = 64
Probability that more than 30 have computer at home
Mean = np = 64 * 0.4 = 25.6
Standard deviation = sqrt(n*p*(1-p)) = 3.919
P(x > 30)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (30 - 25.6) / 3.919 = 1.1227353
p(Z < 1.122) = 0.13093 ( Z probability calculator)
X= tennis balls Noah has
x<8
