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2 years ago

Isabel graphed the following system of equations.

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

4 0

Answer:

Step-by-step explanation:

Simplified the following system of equations into a linear equation.

Graphed (plot the points) the linear equation onto the graph.

To get the solution (2,-2) (x,y)she went positive 2 to the right and -2 down.

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The answer is x=9 because (look at the picture)

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3 years ago

If 12x+8 is less than 6,what is the value of 8x

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2 years ago

A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas

Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say Aₙ given that another event, say X has already occurred is given by:

$P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}$

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

B = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

$P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92$

Compute the value of P (B|+) using the Bayes' theorem as follows:

$P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}$

$=\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\$

$=\frac{0.025272}{0.025272+0.891296}$

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Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

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2 years ago

Read 2 more answers

Can someone please give me a lesson on angles of depression and elevation?

Romashka-Z-Leto [24]

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

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2 years ago

A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle

Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is $\frac{b\times h}{2}$ , where b is the base and h is the height.

As we previously found, for this question, the

base = height = width of the paper = 5cm

Now, we just have to calculate it with the formula

$Area = \frac{base \times height}{2} \\\\
\\
Area = \frac{5 \times 5}{2} \\
\\
Area = \frac{25}{2}\\
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Area = 12.5 cm^{2}$

learn more about the area of the triangle here: brainly.com/question/15442893

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2 years ago