Answer:
Step-by-step explanation:
Since the graph passes through both (-8,0) and (-2,0), the vertex's x value must be the average of the two, or -5. To determine the y value, you need the third point, (-6,4). In a parabola without any dilation or stretching, the difference between the y value of the point 1 unit to the side of the vertex and the point 3 units away is 9-1=8. However, here it is 4, meaning that this graph has a dilation of 1/2. This means that the vertex has a y value of 9/2=4.5, and that the vertex is (-5,4.5). From here, you can simply plug in the known values to get the vertex form, and then convert to standard. , which in standard form is . Hope this helps!
The probability that exactly 8 individuals do not cover their mouth is 0.0037.
<h3>How to calculate the probability?</h3>
It should be noted that the probability will be solved by using the binomial distribution.
From the information, the probability that a randomly selected individual will not cover his or her mouth when sneezing is 0.267.
Therefore, the probability that thee person will not cover their mouth will be:
= 1 - 0.267
= 0.733
This will be:
= 12C8 × (0.267)^8 × (1 - 0.267)⁴
= 12C8 × (0.267)^8 × 0.733⁴
= 495 × 0.00002582 × 0.28867
= 0.0037
In conclusion, the probability is 0.0037.
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<em>Answer:</em>
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<em>Step-by-step explanation:</em>
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<em>Hope this helped you!</em>
Answer:
The desired equation is y = 3x + 2
Step-by-step explanation:
A NEW LINE parallel to y = 3x + 3 has an equation that is identical to y = 3x + 3 except that the y-intercept will be different.
Start with y = 3x + 3; replace x with -1 and y with -1 (which come from the given point): -1 = 3(-1) + b. Then -1 = -3 + b, and b must be +2.
The desired equation is y = 3x + 2.
(2/5) / (9/1)
Flip second fraction and multiply instead of divide
(2/5) * (1/9)
= 2/45