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Answer:
3x -y -30 = 0
Step-by-step explanation:
The reference line for the intercept can be written in standard form as ...
2x +5y = 20
Setting y=0 and solving for x, we find the x-intercept to be ...
2x = 20
x = 20/2 = 10
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The line perpendicular to the first reference line can use the same x- and y-coordinates, but swapped, with one of them negated. If the line is right-shifted from the origin to the x-intercept point, its equation will be ...
3(x -10) -y = 0
In general form, this is ...
3x -y -30 = 0
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<em>Additional comments</em>
Perpendicular lines have slopes that are opposite reciprocals of each other. The slope of a line in general form is ...
m = -(coefficient of x)/(coefficient of y)
The opposite reciprocal of this can be had by swapping the coefficients and negating one of them.
In general form, we like to have the first coefficient positive, so we choose to negate the (new) y-coefficient in this problem.
The general form equation ax+by=0 would define a line through the origin. Using the usual methods for translating functions, we can make the line go through point (h, k) by writing the equation as a(x-h)+b(y-k) = 0. This is the method we used to make the line have the desired x-intercept.
Answer:
The correct answer would be B. 10
Step-by-step explanation:
6^2 + 8^ = c^2
36 + 64 = 100
6 + 8 + 1 0
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Both the sample can be used to make inferences about the population.
The correct option is D.
Given
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.
Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.
<h3>Percentage;</h3>
A percentage is a number or ratio that can be expressed as a fraction of 100.
According to the question
Total number of population = 25000
Percent of a sample of Jason = 0.24%
Percent of the sample of Yolanda's = 0.32%
So, the number of the population according to Jason's sample is given by;
The number of the population according to Yolanda's sample is given by;
Hence, Both the sample can be used to make inferences about the population
To know more about the percentage click the link given below.
brainly.com/question/16216214
Answer:
26
Step-by-step explanation:
There are 60 pupils in the survey
32 are boys, so we assume 28 are girls
12 of the boys said cola was their favourite
4 boys liked water best.
That is a total of 16 boys who prefer either cola or water out of 32 total boys
There are 16 boys leftover who must have milk as there favourite
9 girls liked water best
21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.
That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14
We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.
There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils
