The answer should be 12 units^2

starting from the left side of the shape you multiply base 2 by height 2 which gets 4 then divide by 2 since it is a triangle. next multiply 2x2 for the square in the middle which gets you 4. lastly multiply 6x2 for the triangle on the right which gets you 12 however bc it is a triangle you must divide by 2 and get 6. then add them all together and you get 12.

7 0

3 years ago

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PartA)What are the transformations are needed in in order to obtain the graph of G(x) from the graph of f(x) Select all that app

iVinArrow [24]

Part A)

Recall that:

1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:

$f(x+m)+n\text{.}$

2) The function represented by the graph of the function f(x) reflected over the x-axis is:

$-f(x)\text{.}$

Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.

Answer Part A:

Options B, C, and D.

Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.

We know that the graph of f(x)=|x| is:

The above graph reflected over the x-axis is:

Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:

Answer part B:

7 0

1 year ago

A baker uses 5.5 pounds of flour daily How many ounces of flour will he use in two weeks (1lb=160z) *PLZ HELP

bixtya [17]

There are 14 days in two weeks.
5.5 x 2 = 77 lbs.
77 lbs = 1,232 oz.
The baker will use 1,232 oz of flour in two weeks.

6 0

3 years ago

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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

3 years ago