Answer:
The inequality the graph has shown is y < 2x - 3 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
From the given figure
∵ The line drawn is a dashed line
→ That means the sign of inequality without the equal sign
∴ The sign of the inequality is without the equal sign
∵ The shaded area is under the line
→ That means the sign of the inequality is smaller than
∴ The sign of the inequality is <
∵ The line intersects the y-axis at point (0, -3)
→ That means the y-intercept is -3
∴ The y-intercept = -3 ⇒ (value of b in the equation of the line)
∵ There is only one answer has sigh < and y-intercept -3
∴ The inequality the graph has shown is y < 2x - 3
Answer:
486,000
Step-by-step explanation:
(18000) (4.5) = 81,000
(81,000) (6) = 486,000
Answer:
$11.22
Step-by-step explanation:
100% = 187
1% = 187/100 = $1.87
6% = 1%×6 = 1.87×6 = $11.22
Answer:
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Explanation:
You can determine the probability of the collector has captured at least two small monsters of the same species is the complent of that all the monsters captured are of different species, i.e. none are of the same species.
The probability than none of the five captured small monsters are of the same species are:
<u>1. Probability than the one monster is of the species One, and the others are not of the species One:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
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<u>2. Probability that the first monster is of the species Two, and the others are not of the species Two:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
<u>3. Probability that the first monster is of the species Three and the others are not of the same species:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
<u>4. Inference</u>
As you see you have to do this 32 times, and then add all the equal 32 probabilities, which is
- 32 × (1/32) × (31/32) × (30/32) × (29/32) × (28/32) = 0.72
That is the probability that none of the five small monsters are of the same species. Then, the probability that at leas two small monsters are of the same species is 1 - 0.72 = 0.28
Answer:
Option A : 15x² + 62x + 63 is the correct answer.
Step-by-step explanation:
Given measurements of the figure are:
5x + 9 and 3x + 7
We have to find the area. We can find the area by multiplying the two expressions.
Area = (5x+9) * (3x+7)
Area = 5x (3x+7) +9(3x+7)
Area = 15x² + 35x + 27x + 63
Area = 15x² + 62x + 63
Hence,
Option A : 15x² + 62x + 63 is the correct answer.
