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2 years ago

13

Claire lives 2.2 miles away from the library. She decides to walk to the library with her friend. They have already walked 0.53

miles. How much further do they need to walk to reach the library? Show your work.

1 answer:

Dmitry [639]2 years ago

8 0

Answer:

2/3

Step-by-step explanation:

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The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced: What is the

Svet_ta [14]

The piece of wood is 5.1 inches

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2 years ago

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The heights of fully grown sugar maple trees are normally distributed, with a mean of 87.5 feet and a standard deviation of 6.25

Julli [10]

Answer:

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

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2 years ago

A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?

natima [27]

The formula for determining the distance of the focus from the vertex is as follows,

f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

f = (30/2 mm)² / (4)(5 mm)

f = 11.25 mm

<em>ANSWER: 11.25 mm</em>

8 0

2 years ago

Which equation is the inverse of y = 2x2 – 8?

natita [175]

The inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

Explanation:

To find the inverse of the equation $y=2x^{2} -8$ , we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

$x=2y^{2} -8$

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

$x+8=2y^{2}$

Interchanging the sides,

$2y^{2} =x+8$

Dividing by 2 on both sides,

$y^{2} =\frac{x+8}{2}$

Taking square root on both sides,

$y=\pm \sqrt{\frac{x+8}{2}}$

Thus, the inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

5 0

2 years ago

Suppose that 3% of all athletes are using the endurance-enhancing hormone EPO (you should be able to simply compute the percenta

trapecia [35]

Answer:

Step-by-step explanation:

So there is a 3% probability that an athlete is using EPO .

The probability of showing positive on a test when you've used it is 0.99.

3% x 0.99= 2.97%

The probability of a positive result without EPO is 0.1

97% x 0,1 = 9,7 %

My guess is that 2.97% + 9,7% = 12.67% or 0.1267.

I don't know i may be wrong because you've put as an answer 0.0297 but if you like you may take only the first part of the answer.

6 0

2 years ago