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Elenna [48]
3 years ago
10

A company that makes​ hair-care products had 3,000 people try a new shampoo. Of the 3,000 ​people, 18 had a mild allergic reacti

on. What percent of the people had a mild allergic​ reaction?

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

0.6% people had a mild allergic​ reaction to the shampoo.

Step-by-step explanation:

To find out the percentage of the people who got the mild allergic reaction, we are going to divide the number of people (18) who got the allergic reaction and divide it by total number of people who tried the shampoo (3000) and multiply it by 100.

= \frac{18}{3,000} * 100

=0.006 * 100

= 0.6%

MrMuchimi3 years ago
5 0

Answer:

60%

Step-by-step explanation:

There was a total of 3000 people and of those 3000 people only 18 had a mild allergic reaction.

18/3000 × 100 = 60%

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Slope intercept of (2,-12) and (5,6)
nlexa [21]

Answer:

<em>The slope of the line is m=6.  </em>

<em>The y-intercept is (0,−24).  </em>

<em>The equation of the line in the slope-intercept form is y=6x−24.</em>

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=2, y1=−12, x2=5, y2=6.

Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−12−(6)⋅(2)=−24.

Finally, the equation of the line can be written in the form y=mx+b.

y=6x−24.

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

8 0
3 years ago
Read 2 more answers
n Juanita's Art History class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attenda
kvv77 [185]

Answer:

90.75%

Step-by-step explanation:

Given;

Of the total final score;

Quizzes = 15%

Exam = 55%

Project = 25%

Attendance = 5%

Resolving the values of each section of the total score;

she had perfect attendance to class. 100% attendance;

Attendance = 5% of total score

She got extra credit on her project with a score of 26 out of 25 possible points.

Project = 26/25 × 25% = 26%

80, 85, and 96 on the first three exams,each worth 100 points;

Total exam score = 80+85+96 = 261 out of 300

Of the total score;

Exam = 261/300 × 55% = 47.85%

At mid-semester Juanita scored 119 out of 150 points on quizzes.

Quizzes = 119/150 × 15% = 11.9%

Total exam score is;

= Quizzes+exam +project+attendance

= 11.9% + 47.85% + 26% + 5%

= 90.75%

3 0
3 years ago
Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

8 0
3 years ago
A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took
bearhunter [10]
a+c=30
3a+c=50
c=30-a
3a+30-a=50
2a=20
a=10
a+c=30
10+c=30
c=20

10 Adults and 20 Children 
8 0
3 years ago
∠ABC and ∠CBD are complementary angles. m∠ABC = (3x + 6)º and m∠CBD = (4x – 14)º.
yuradex [85]
You need use your strategies multiplie it than simplify to k and than move it to E tens
4 0
3 years ago
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