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Harlamova29_29 [7]
3 years ago
15

A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tes

ted had an allergic reaction to the new lotion
Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

If we want to know what percent of a number A is of another number B, then all we have to do is to simply divide number A by number B. Then either we move the decimal place of the answer two places to the right or multiply the answer with 100, either method results in the same number.

So the percent of tested people who had an allergic reaction to the new lotion is:

percent people = (15 / 200) * 100

percent people = 0.075 * 100

 percent people = 7.5%

 

Therefore 7.5% of the people had allergic reaction.

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Which set of data is correct for the quadratic relation f(x) = 5(x -
Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

6 0
3 years ago
What is the graph of the function f(x) = x+2/x-3?
Fed [463]
X2+2-3x=x hope tht helps
4 0
3 years ago
Find two numbers a and b such that a+b=0 and ab=36
PolarNik [594]

Answer:

b = 6i   then a = -6i

b = -6i   then a = 6i

Step-by-step explanation:

a+b=0

ab=36

a = -b

a(b) = 36

-b * b = 36

- b^2 = 36

b^2 = -36

Take the square root of each side

sqrt(b^2) = sqrt(-36)

b =± 6i

a = - (± 6i)

so b = 6i   then a = -6i

b = -6i   then a = 6i

4 0
3 years ago
F(x) = 3x + 8; g(x) = 5x - 9<br> (a) Find (f + g)(x).
AysviL [449]

Answer: f(x) = 8x -1

Step-by-step explanation:

( f + g )x = 3x + 5x + 8 - 9

( f + g)x = 8x - 1

8 0
3 years ago
Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h
Westkost [7]

Answer:

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

  than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* <u><em>Lets find b in terms of a , c , d , T</em></u>

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴ b=\frac{T-a-c-d}{3}

∴ b equals T minus a minus c minus d all over 3

4 0
3 years ago
Read 2 more answers
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