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3 years ago

How many real solutions does the function shown on the graph have?

Mathematics

2 answers:

den301095 [7]3 years ago

3 0

Answer:

0 because it doesn't cross the x-axis

Step-by-step explanation:

Bond [772]3 years ago

3 0

0 because it doesn’t cross the x axis

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Ethanhunt after this theres 4 more left :)

FinnZ [79.3K]

1.) Number of Total People = 1387

In Figure 1, Red boxes represent "Teens" which is 10 in number whereas Blue boxes represent "Adults".

1 box contains = 1387/19 = 73

Number of Teens = 73 * 10 = 730

In short, Your Final Answer would be: 730

2.) Number of Total Chocolates = 1440

In Figure 2, Red boxes represent "Chocolate flavor ice-cream" which is 6 in number whereas Blue boxes represent "Vanila".

1 box contains = 1440/15 = 96

Number of Chocolate Ice-creams = 96 * 6 = 576

In short, Your Final Answer would be: 576

3.) Number of Total Sodas = 576

In Figure 3, Red boxes represent "diet sodas" which is 5 in number whereas Blue boxes represent "Regular sodas".

1 box contains = 576/12 = 48 sodas

Number of diet cokes = 48 * 5 = 240

In short, Your Final Answer would be: 240

Hope this helps!

7 0

3 years ago

Read 2 more answers

If sin theta = (4)/(7), theta in quadrant II, find the exact value of (a) cos theta (b) sin (theta + (pi) / (6) ) (c) cos (the

EleoNora [17]

Answer:

a) $\cos(\theta) = \frac{\sqrt[]{33}}{7}$

b) $\sin(\theta + \frac{\pi}{6})\frac{-3\sqrt[]{11}+4}{14}$

c) $\cos(\theta-\pi)=\frac{\sqrt[]{33}}{7}$

d) $\tan(\theta + \frac{\pi}{4}) = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

Step-by-step explanation:

We will use the following trigonometric identities

$\sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\cos(\alpha)\sin(\beta)$

$\cos(\alpha+\beta) = \cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)$ $\tan(\alpha+\beta) = \frac{\tan(\alpha)+\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}$ .

Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that

$x^2+4^2 = 7 ^2$

which implies that $x=-\sqrt[]{49-16} = -\sqrt[]{33}$ . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then

$\cos(\theta) = \frac{-\sqrt[]{33}}{7}$

b)Recall that $\sin(\frac{\pi}{6}) =\frac{1}{2} , \cos(\frac{\pi}{6}) = \frac{\sqrt[]{3}}{2}$ , then using the identity from above, we have that

$\sin(\theta + \frac{\pi}{6}) = \sin(\theta)\cos(\frac{\pi}{6})+\cos(\alpha)\sin(\frac{\pi}{6}) = \frac{4}{7}\frac{1}{2}-\frac{\sqrt[]{33}}{7}\frac{\sqrt[]{3}}{2} = \frac{-3\sqrt[]{11}+4}{14}$

c) Recall that $\sin(\pi)=0, \cos(\pi)=-1$ . Then,

$\cos(\theta-\pi)=\cos(\theta)\cos(\pi)+\sin(\theta)\sin(\pi) = \frac{-\sqrt[]{33}}{7}\cdot(-1) + 0 = \frac{\sqrt[]{33}}{7}$

d) Recall that $\tan(\frac{\pi}{4}) = 1$ and $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}=\frac{-4}{\sqrt[]{33}}$ . Then

$\tan(\theta+\frac{\pi}{4}) = \frac{\tan(\theta)+\tan(\frac{\pi}{4})}{1-\tan(\theta)\tan(\frac{\pi}{4})} = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

5 0

3 years ago

There are 10 apples in the fridge and 2 of them are bad. if you grab 3 apples, what is the expected number of bad apples

Vilka [71]

2 there should still be the 2 bad apples

8 0

3 years ago

The Police Department is investigating the need for a speed camera to be implemented on Swift Road. A sample of 60 cars passing

prisoha [69]

Answer:

Step-by-step explanation:

(a) Approximate the population standard deviation (?) with the sample standard deviation (s)

Approximate the standard normal distribution with the Student's t distribution

--------------------------------------------------------------------------------------------------------------------------------

(b) The degree of freedom =n-1=60-1=59

Given a=0.1, t(0.05, df=59) =1.67 (from student t table)

So the lower bound is

xbar -t*s/vn =41 -1.67*3/sqrt(60) =40.35

So the upper bound is

xbar +t*s/vn =41 +1.67*3/sqrt(60) =41.65

8 0

3 years ago

In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning pe

anyanavicka [17]

Answer: B) There is not convincing evidence because the interval contains 0.

==============================================================

Explanation:

The 98% confidence interval (-0.36, 0.22) means we are 98% confident that the difference of proportions p1-p2 is somewhere between those two endpoints of -0.36 and 0.22 Values in this interval are possible values of p1-p2.

Note how 0 is in this interval. So it's possible that p1 - p2 = 0. Because of this, we fail to reject the null hypothesis. The null in this case is that p1 - p2 = 0 which can be restated as p1 = p2. The null is the assumption that the two population proportions (p1 and p2) are the same.

The alternative hypothesis is that p1-p2 is not zero. If we got a confidence interval like (0.22, 0.55), this example doesn't have 0 in the interval, then that would mean we reject the null since its unlikely that p1-p2 is equal to zero.

----------------

In short,

If the confidence interval contains 0, then you fail to reject the null
If the confidence interval doesn't contain 0, then you reject the null.

In this case, we fail to reject the null and we don't have enough evidence to show that p1 = p2 is false. So for now, we assume it's true.

8 0

3 years ago