Given Bernard weighs 7.5 pounds at birth.The question is asking us to assume that Bernard development proceeds normally.We need to find Bernard birth after a year.
It is observed that birth of a child triples or is thrice (3 times ) the weight at birth.As Bernard is weighing 7.5 pounds so he will triple or be 3times of this weight.
Bernard weight after a year= 3x7.5=22.5 pounds.
11 cm by 15 cm
The perimeter is double the sum of length and width, so that sum is 26 cm. The area is the product of length and width, so you want to find two numbers whose product is 165 and whose sum is 26.
165 = 1·165 = 3·55 = 5·33 = 11·15
The numbers in the last factor pair total 26. These are the dimensions.
The dimensions are 11 cm by 15 cm.
The amount of salt that is in the tank after 20 minutes is;
A(20) = 267.56 Oz
Initial amount of salt in tank; A(0) = 40 Ounces
A solution containing 4 oz salt per gallon is pumped into the tank at a rate of 5 gal/min.
This means rate in oz/min = 4/1 × 5/1 = 20 oz/min
A'(t) = 20 - [(A(t)/(100)) × 5/1]
A'(t) = 20 - A(t)/20
A'(t) + A(t)/20 = 20
Multiplying through by the integrating factor gives;
A'(t) + (A(t)/20) = 20
A(t) = 400 + C
Divide through by to get;
A(t) = 400 + C
At initial condition of A(0) = 40, we have;
40 = 400 + C
C = -360
Thus; at time (t), the amount of salt left is given by;
A(t) = 400 - 360
A(20) = 400 - 360
A(20) = 400 - 132.44
A(20) = 267.56 Oz
Read more at; brainly.com/question/17003995
We have been given that
Let us evaluate the z score using the below mentioned formula
On substituting the given values, we get
Thus, the value of z is -1.75.
Now, we find the probability that a battery you buy lasts at most 100 hours.
We will find the value for z= -1.75 using the z score table.
Hence, the required probability is 0.04006
Given is an algebraic expression g(x) as product of two functions.
Hence solutions will be the combined solutions of two quadratic products
I expression can be factorised as
Hence one set of solutions are
Next quadratic we cannot factorize
and hence use formulae
The answer above is correct:
I got this right on Edg. 2021
The required value of elasticity at x = 65 is -0.007.
The demand equation for a certain item is .
We have to determine,
The value of elasticity at 65.
According to the question,
The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.
Price of elasticity =
Calculate change by differentiation with respect to p:
Therefore, The elasticity at x = 65 is ,
Hence, The required value of elasticity at x = 65 is -0.007.
For more information about Elasticity click the link given below.
The frequency table is given by,
Number of months Number of movie goers
More than 7 96
5 - 7 180
2 - 4 219
Less than 2 205
Since, Probability of an event is the ratio of favorable events to the total number of events.
As, the number of people going to movies atleast 2 times a month = 96 + 180 + 219 = 495
The probability that a person goes to the movies atleast 2 times a month = .
We are given
Since, we have to solve for y
so, we will isolate y on anyone side
Firstly, we add both sides by 4
Multiply both sides by 3
now, we can divide both sides by 2
and we get