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NeTakaya
3 years ago
10

Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of

A be?

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

f(x) = A \cos(x+C).

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

|A| = 4

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

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Simplify the expression.<br> 3(2+q)+15 simplified is
chubhunter [2.5K]

Answer:

3q+21

Step-by-step explanation:

4 0
2 years ago
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Drag each number to the correct location on the equation. Not all numbers will be used.
sveticcg [70]

Answer:

The equation of the hypotenuse line is y = -3·x + 9

Therefore, the correct options are -3 and 9

Step-by-step explanation:

The question asks to fill the boxes

y = _ x + _

We note that the equation is that of a straight line of the form;

y = m·x + c

Where:

m = Slope of the straight line graph and

c = Y intercept, that is the y-coordinate of the point on the line where x = 0

From the graph, we find the slope as follows;

Slope = \frac{y_2 - y_1}{x_2 -x_1} = \frac{(-9) -0}{6-3} = -3

Therefore, m = -3

The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;

From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9

Hence we have, the equation of the hypotenuse line is y = -3·x + 9.

8 0
3 years ago
Can someone help me with 2) and 3)
zzz [600]
2) 15+12=27
3) 66/6=11
8 0
2 years ago
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Use the function s=8r+14 to find the value of s when r=3.
Phantasy [73]

Answer: s= 38


Step-by-step explanation:

S=8r+14 or S=8(3)+14

8 times 3 = 24 +14 = 38


4 0
3 years ago
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Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years.
Arada [10]

Answer:

a) 0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

b) n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

c) n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

Part a

\hat p=\frac{823}{1000}=0.823

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

Part b

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

Part c

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

5 0
3 years ago
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