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2 years ago

Find the value of x.

Mathematics

1 answer:

Lilit [14]2 years ago

5 0

Answer: 26.5

Step-by-step explanation:

You can turn the second half of the shape into a right triangle, which has 180 degrees. With the right angle, you can set the two angles up to 90 degrees.

x + (3x-16) = 90

4x - 16 = 90

+ 16 + 16

4x = 106

/ 4 / 4

x = 26.5

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kodGreya [7K]

Answer:

Gemma

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3 years ago

One hundred rats with mothers that were exposed to high levels of tobacco smoke during pregnancy were put through a simple maze.

Paul [167]

Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

100 rats mothers, 80 went right. So $n = 100, \pi = \frac{80}{100} = 0.8$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.7342$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658$

The 90% confidence interval for pis (0.7342, 0.8658).

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3 years ago

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mamaluj [8]

You can find the slope and y-intercept, and make an equation in slope- intercept form and them just plug in the other x values in the equation.

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3 years ago

1. The hypotenuse of a right triangle has a length of 10.0 and one of its

Mamont248 [21]

Answer:

I wont tell you the answer but I can tell you how to solve this one.

Step-by-step explanation:

If they are both squared then square them. Once you have the hypotenuse and the leg squared subtract the leg from the hypotenuse. That's your answer. Then you un- square it by finding the square root of the new number. That square root is your answer

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3 years ago

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Papessa [141]

Treat this as you would the quadratic equation x^2 - 4x - 3 + 0. Solve this by completing the square:

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Graph this, using a dashed curve (not a solid curve). Then shade the coordinate plane ABOVE the graph.

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3 years ago