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deff fn [24]
4 years ago
7

A triangle has an area of 9^2−9−10. The base of the triangle is 3−5. What is the height of the triangle?

Mathematics
1 answer:
klasskru [66]4 years ago
3 0
(a) What is the area of the triangle determined by the lines 
y =−1/2x + 9, <span>y =10x, and the y-axis?</span><span>
Thus we already know that 
Area of triangle= 1/2*b*h
Base=9

Now to find the height, we need the coordinates of the intersection so:

</span><span>−1/2x+9=10x
</span><span>
x=6/7 <=height
y=60/7

So using the formula

Area=1/2*b*h= 1/2*9*6/7
=3.8571428</span>
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Answer:

he positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative

Step-by-step explanation:

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3 years ago
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true propo
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Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

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:

n = 25, \pi = \frac{12}{25} = 0.48

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

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a

Step-by-step explanation:

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Answer:

12 = 12

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P = L + L + w + w

72 = 2(L) + 2(L-4)

Distribute

72 = 2(L) + 2(L) - 8

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Subtract 8 from both sides

64 = 4(L)

Divide both sides by 4

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The length is 16. Now substitute that in the equation for finding w.

w = L - 4

w =

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