Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
The rectangle is 15cm by 45cm
2(3x)+2(x)=120
6x+2x=120
8x=120
X=15
3(15)=45
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle
11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle
9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle
16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle
*the best buy would be to get 16 bottles for $35.68*10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap
16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap
13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap
12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap
*the best buy would be to get 13 bars of soap for $29.51*hope this helps :)
Answer:
8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42
Step-by-step explanation:
(2x^2 + 3x - 6)(4x^3 - x + 7)
8x^5 -2x^3 +14x^2 + 12x^4 - 3x^2 + 21x -24x^3 + 6x - 42
8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42
