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Semenov [28]
3 years ago
13

A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3

.5 mosquito bites. The treatment group using Spray B reported a mean of 5.6 mosquito bites.
To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot.



What is the best conclusion to make based on the data?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

The treatment group using Spray A reported a mean of 3.5 mosquito bites.

The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

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Y=-3x^2-6x+24
Lera25 [3.4K]
The x-intercept is the point at which the function intersects the x-axis.
For any point on the x-axis, y = 0. Thus we can plug in 0 for y and solve for x.

y=-3x^2-6x+24 \\ 0=-3x^2-6x+24

Let's split the middle on this quadratic.
To do this we need to find two numbers that add to equal -6 and multiply to equal -72. (-3 times 24)
Consider ways to multiply to get 72.
72 = 36 ×2...that's not going to work.
72 = 24 × 3
72 = 18 × 4
72 = 12 × 6...and 12 minus 6 is 6!
Let's add our signs; our numbers are -12 and 6.
Now, split the middle and factor.

0=-3x^2-12x+6x+24\\0=-3x(x+4)+6(x+4)\\0=(-3x+6)(x+4)

Now you should know that anything multiplied by zero is zero.
So any value that makes one of those factors equal zero is an x-intercept.
Solve each of these equations.

-3x+6 = 0
-3x = -6
x = 2

x+4 = 0
x = -4

Oh, and since all parabolas (graphs of quadratics) are symmetrical, our axis of symmetry will be the average between the two, which is x=-1.

Now for our y-intercepts. For any points on the y-axis, x=0, so if we plug in 0 for x and solve for y we'll get our y-intercept.

y = -3×0² - 6×0 + 24
y = 0 - 0 + 24
y = 24

What about our vertex? Well, we know it's going to line up with the axis of symmetry, so let's just plug in -1 for x.

y = -3×-1² - 6×-1 + 24
y = -3×1 -6×-1 + 24
y = -3 + 6 + 24
y = 27

Thus the vertex is (-1, 27)

The y value is not going to exceed 27, as this is a decreasing quadratic, (we already know y=24 is a possibilty) and this equation goes downwards infinitely, so our range is (-∞, 27)

As for x, well, it's sort of the input for our equation, meaning it can be whatever we want it to be. Thus the domain is (-∞, ∞)




3 0
3 years ago
Which relation is a function?
IceJOKER [234]

Answer:

The bottom right option

Step-by-step explanation:

Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.

Given this, the bottom right option is the only one that fits these circumstances.

4 0
2 years ago
Leonard uses 3 peach slices and 1 banana for his fruit parfaits. If he used 42 peach slices to make parfaits for his friends, ho
Naddika [18.5K]

Answer:ez 26

Step-by-step explanation: how do you not know this

5 0
3 years ago
Read 2 more answers
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32​
Anastaziya [24]

Answer:

the answer is 32

Step-by-step explanation:

hope this help have a good day

4 0
3 years ago
14
Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be x

Eve's poster portion painted will be

=\frac{1}{6}\times x\\=\frac{x}6}

Gerrard's painted portion will be:

=\frac{1}{5}\times x\\=\frac{x}{5}

From the two inequalities, we find that \frac{x}{5} is greater than \frac{x}{6}  by x/30

\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's

6 0
3 years ago
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