Answer:
The product of 8x(5x−6) is 40x^2−48x
The product of (x−3)(5x−6) is 5x^2−21x+18
Step-by-step explanation:
<u><em>Verify each option</em></u>
Part 1) The product of 8x(5x−6) is 40x^2−48x
we have
Applying distributive property
Compare with the given value
therefore
The statement is true
Part 2) The product of −4x(2x2+1) is −8x^3−5x
we have
Applying distributive property
Compare with the given value
therefore
The statement is not true
Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18
we have
Applying distributive property
Compare with the given value
therefore
The statement is true
Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25
we have
Applying distributive property
Compare with the given value
therefore
The statement is not true
Answer:
$2278.846
Step-by-step explanation:
Given the following commision steps :
8% on first $1000;
12% next $2000;
20% on sales above $3000
Recorded sales for a week :
Monday $1500.00
Tuesday $3000.00
Wednesday $ 970.00
Thursday $4563.81
Friday $2760.42
This assu es that commision is calculated after weekly sales:
Total:
(1500 + 3000 + 970 + 4563.81 + 2760.42)
= $12794.23
8% on first $1000
0.08 × $1000 = $80
12% of $2000 = $240
20% of $(12794.23 - 3000)
= 0.2 × 9794.23
= 1958.846
Total commision for the week :
$(80 + 240 + 1958.846)
= $2278.846
<u>Given</u>:
Let the random variable x is normally distributed with mean 
and 
We need to determine the probability of 
<u>Probability of </u><u>:</u>
The formula to determine the value of is given by
Thus, we have;
Simplifying, we get;
Using the normal distribution table, the value of -2 is given by 0.0228
Thus, the value of is 0.0228
