Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).
Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).
Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.
Step-by-step explanation:
The coefficient of the x term repesents the slope of the graph.
So we have y = 2x +- ( ).
We have to find our number term, so let's substitute x = 4 and y = 3.
(3) = 2(4) +- ( )
3 = 8 +- ( )
To make this right, the number term must be -5.
3 = 8 - 5
So the equation is y = 2x - 5.
Answer:
<em>36%</em>
Step-by-step explanation:
"8 kg of mixed nuts containing 26% peanuts"
weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg
"5 kg ... that contain 52% peanuts"
weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg
Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg
Total weight of mixed nuts: 8 kg + 5 kg
percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%
Answer:
1. 0.9544
2. 0.0228
3. 0.0228
Step-by-step explanation:
The computation is shown below;
As we know that
At Normal distribution
As per the question, the data provided is as follows
Mean = 24.4 minutes
Standard deviation = 6.5 minutes
Based on the above information
P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)
= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
2. P(X < 11.4) = 0.0228
3. P(X ≥ 37.4) = 1 - P(X < 37.4)
= 1 - 0.9772
= 0.0228
