Answer:
The number of large size candles sells are 12 and the number of small size candles are 5 .
Step-by-step explanation:
As given
Sia sells large candles for $3 each and small candles for $2 each.
She sold 17 candles for $46.00.
Let us assume that the large size candle sells are x .
Let us assume that the small size candle sells are y.
Equation becomes
x + y = 17
3x + 2y = 46
Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .
3x - 3x + 2y - 3y = 46 - 51
-y = - 5
y = 5
Put in the equation x + y = 17 .
x + 5 = 17
x = 17 - 5
x = 12
Therefore the number of large size candles sells are 12 and the number of small size candles are 5 .
Answer:
The probability is 0.2650
Step-by-step explanation:
Let's start assuming that men and women come in at the same rate.
Let's define the following random variables :
X : ''Number of people that enter a drugstore''
M : ''Number of men that enter a drugstore''
W : ''Number of women that enter a drugstore''
The number of people will be the number of men plus the number of women
⇒
X = M + W
We are also assuming that M and W are independent random variables.
X ~ Po (10)
M ~ Po (λ1)
W ~ Po (λ2)
λ1 = λ2 because we assumed that men and women come in at the same rate.
λ1 = λ2 = λ
λ1 + λ2 = λ + λ ⇒ 2λ = 10 ⇒ λ = 5
M ~ Po (5)
W ~ Po (5)
Because X is the sum of two independent Poisson random variables.
We are looking for :
Because we assume independence.
because is a Poisson random variable with λ = 5
the complete question is
<span>Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $5 and spends the rest on the blouse. Which statement is true?
A.<span> Julia’s money status is $8 because she started at –$12 and borrowed $20.
B.</span> Julia’s money status is –$7 because she started at –$12, got $20, but only paid $5 of her debt.<span>
C.</span> Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.<span>
D.</span> Julia’s money status is –$32 because she began at –$12 and borrowed $20.
we know that
</span>Julia owes her dad $12 already and again she borrowed $20 from her sister
So,
total debt = $12+$20=$ 32.
And,
she paid $5 only to her father.
So,
Her money status is
-32+5 = -$27
the answer is the option
C. Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.
