Answer: See explanation
Step-by-step explanation:
I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12
Let the amount spent on tomatoes be x.
The information given in the question can then be used to form an equation as thus:
Apples + Peaches + Tomatoes = $9.63
(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63
$3.0888 + $1.344 + x = $9.63
x = $9.63 - ($3.0888 + $1.344)
x = $9.63 - $4.4328
x = $5.1972
The amount spent on tomatoes will be $5.1972
Hi there what you need is lagrange multipliers for constrained minimisation. It works like this,
V(X)=α2σ2X¯1+β2\sigma2X¯2
Now we want to minimise this subject to α+β=1 or α−β−1=0.
We proceed by writing a function of alpha and beta (the paramters you want to change to minimse the variance of X, but we also introduce another parameter that multiplies the sum to zero constraint. Thus we want to minimise
f(α,β,λ)=α2σ2X¯1+β2σ2X¯2+λ(\alpha−β−1).
We partially differentiate this function w.r.t each parameter and set each partial derivative equal to zero. This gives;
∂f∂α=2ασ2X¯1+λ=0
∂f∂β=2βσ2X¯2+λ=0
∂f∂λ=α+β−1=0
Setting the first two partial derivatives equal we get
α=βσ2X¯2σ2X¯1
Substituting 1−α into this expression for beta and re-arranging for alpha gives the result for alpha. Repeating the same steps but isolating beta gives the beta result.
Lagrange multipliers and constrained minimisation crop up often in stats problems. I hope this helps!And gosh that was a lot to type!xd
Answer:
C
Step-by-step explanation:
C or the third one is correct
Complete Question
Suppose there is a 14.3% probability that a randomly selected person aged 25 years or older is a jogger. In addition, there is a 52.6% probability that a randomly selected person aged 25 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 25 years or older is female and jogs? Would it be unusual to randomly select a person aged 25 years or older who is female and jogs?
Answer:
The probability is 
No it is not unusual
Step-by-step explanation:
From the question we are told that
The probability that a randomly selected person aged 25 or older is a jogger is
The probability that a randomly selected person aged 25 years or older is female, given that he or she jogs
Generally the the probability that a randomly selected person aged 25 years or older is female and jogs is mathematically evaluated using Bayes rules as follows
=> 
=>
Generally this is not unusual because value obtained is greater than 0.05
Answer: 2.4
Step-by-step explanation:
a²+b²=c²
3.9+b²=6.3
-3.9 -3.9
_________
b=2.4
check it:
3.9+2.4=6.3
there you go
mark brainly if this helps PLEASE.
