Answer:
12
Step-by-step explanation:
The cost for n attendees will be ...
cost = 2 + 2n
We want the cost to be, at most, 26, so we have ...
26 ≥ 2 +2n
Dividing by 2 gives ...
13 ≥ 1 + n
And subtracting 1, we find the answer:
12 ≥ n
At most, there can be 12 attendees.
$65.00 - $82.00 = -$17
His account is overdrawn by $17.
Answer:
15, 8, 66%, 40
Step-by-step explanation:
Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.
In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.
<em>question a)</em>
50 dollars or less, so the area of 50 dollars and below that.
from the chart we can see that this lines up to around 15 people.
<em>question b)</em>
now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)
<em>we know if you didn't spend 100 dollars or less, you must have spent more than that. </em>
so take 50-42=8
around 8<u> people</u> spent 100 dollars or more.
<em>question c)</em>
basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.
33/50 = 0.66
around 66%
<em>question d)</em>
80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.
50 times 0.8 = 40
40 people
now just plot that on the graph (sorry i did it wrong in the image)
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
#LearnwithBrainly
Answer:
1556963
Step-by-step explanation:
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