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Naddik [55]
2 years ago
10

Write in factored form, an expression for the shaded portion of the figure.

Mathematics
1 answer:
Alchen [17]2 years ago
8 0
(18-2X)(8-2X)

Take each side and subtract 2X, then multiply them together for the area.
You might be interested in
50 – 5(4.3 – 1.3) ÷ 0.5
marissa [1.9K]

Answer:

(0.5, 1.3)(0.5, 1.3)

Step-by-step explanation:

Given equations are:

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

We can see from the graph that the lines intersect at: (0.517, 1.267)

Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

4 0
3 years ago
Read 2 more answers
Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec
o-na [289]

Answer:

(a) The probability of the event (<em>X</em> > 84) is 0.007.

(b) The probability of the event (<em>X</em> < 64) is 0.483.

Step-by-step explanation:

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...

(a)

Compute the probability of the event (<em>X</em> > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

                =1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007

Thus, the probability of the event (<em>X</em> > 84) is 0.007.

(b)

Compute the probability of the event (<em>X</em> < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

                =\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483

Thus, the probability of the event (<em>X</em> < 64) is 0.483.

5 0
3 years ago
the volumes of two similar figures are 729 mm and 2744 mm if the surface area of the larger figure is 392 mm what is the surface
Stolb23 [73]
We know that
[volume of larger figure]=[scale]³*[volume of smaller figure]
scale=∛(volume of larger figure/volume of smaller figure)
scale=∛(2744/729)-----> 1.56

[surface area of the larger figure]=scale²*[<span>surface area of the smaller figure]
</span>[surface area of the smaller figure]=[surface area of the larger figure]/scale²
[surface area of the smaller figure]=[392]/1.56²----> 162 mm²

the answer is
the surface area of the smaller figure is 162 mm²
7 0
2 years ago
Jacob pays $30.40 for 3.2 ounces of steak. What is the price per ounce of the steak?
Degger [83]

Answer:

30.40/3.2=9.5 so he pays $9.50 per ounce of steak

Step-by-step explanation:

3 0
2 years ago
A bakery sold choclate chip cookies for $0.85.They increased the price by 0.03% each. By what percent did the bakery increase th
dimaraw [331]
Well .85 x 0.03 = 0.0255

.85 + 0.0255 = .8755

So Either 87 Or 88 Cents But Most Likely 88 Cents
4 0
3 years ago
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