Answer:
a) 16
b) -8
c) 2
Step-by-step explanation:
Given:
p = 2
q = -3
r = -1
a)
5p - 2q
Substitute variables.
5(2) - 2(-3)
Multiply.
10 + 6
Add.
16
b)
pq + pr
Substitute variables.
(2)(-3) + (2)(-1)
Multiply.
-6 - 2
Subtract.
-8
c)
pr²
Substitute variables.
(2)(-1)²
Square -1.
(2)(1)
Multiply.
2
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
[/tex]
So at that moment, the volume is decreasing at the rate of
Answer:
the answer is 90%
Hope this helps! Good luck
Answer: the probability that the weight will be less than 4866 grams is 0.9861
Step-by-step explanation:
Since the weights of newborn baby boys born at a local hospital are believed to have a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weights of newborn baby boys.
µ = mean weight
σ = standard deviation
From the information given,
µ = 3571 grams
σ = 589 grams
The probability that the weight will be less than 4866 grams is expressed as
P(x < 4866)
For x = 4866,
z = (4866 - 3571)/589 = 2.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9861
-- To change a percent into a decimal, move
the decimal point two places this way <== .
33.3% = 0.333 .
-- To change a percent into a fraction, remember
that the symbol ' % ' means ' /100 ' .
33.3 % = 33.3/100 .
That fraction looks ugly, because it has a decimal in the numerator.
That's easy to fix. Multiply top and bottom by 10, and you have
333/1000 .