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anzhelika [568]
3 years ago
14

Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequ

ality shows the number of books, x, Hugh can be sell to meet his goal?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:50 \leq x \leq 400

Step-by-step explanation:

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In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vacci
Dahasolnce [82]

Here is the full question.

In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vaccine for malaria‚- a tropical disease that kills between 1.5 and 2.7 million people every year.1 Suppose the vaccine is tested with 700 volunteers in a village who are malaria-free at the beginning of the trial. Three hundred of the volunteers will get the experimental vaccine and the rest will not be vaccinated. Suppose that the chance of contracting malaria is 10% for those who are not vaccinated.

Construct a two-way table to show the results of the experiments if:

(a) The vaccine has no effect

(b) The vaccine cuts the risk of contracting malaria in half

Answer:

Step-by-step explanation:

From the given information above:

Suppose, there is no effect from the vaccine, the risk of having malaria for vaccine & no vaccine is equal to 0.1

Now, the Probability of not having malaria if vaccinated or no vaccinated = 1 - 0.1 = 0.9

Therefore: the table is shown below as follows:

                             Malaria              No Malaria                Total

Vaccinated          300 × 0.1 = 30     300 × 0.9 = 270    300

No Vaccine          400 × 0.1 = 40    400 × 0.9 = 360      700-300 = 400

Total                     40 + 30 = 70      270 + 360 = 630       700

(b)

The risk of malaria for vaccinated if the vaccine cuts the risk of contracting malaria in half are equal to 0.1/2 = 0.05

Thus; the probability of not getting malaria if vaccinated = 1 - 0.05 = 0.95

The table can then be computed as follows:

                             Malaria                No Malaria                 Total

Vaccinated       300 × 0.05 = 15     300 × 0.95 = 285       300

No Vaccine      400 × 0.1 = 40         400 × 0.9 = 360         700-300 = 400

Total                 40 + 15 = 55             285 + 360 = 645       700

7 0
3 years ago
PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!
pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
  • \tan{\theta} = \pm \frac{\sqrt{2}}{4}

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

\sin{\theta} = \frac{1}{3}

Hence, applying the identity, the cosine is given as follows:

\cos^2{\theta} = 1 - \sin^2{\theta}

\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2

\cos^2{\theta} = 1 - \frac{1}{9}

\cos^2{\theta} = \frac{8}{9}

\cos{\theta} = \pm \sqrt{\frac{8}{9}}

\cos{\theta} = \pm \frac{2\sqrt{2}}{3}

The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}

\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}

\tan{\theta} = \pm \frac{\sqrt{2}}{4}

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0
2 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
2 years ago
Read 2 more answers
Is this right?yes or no ​
baherus [9]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How to find the vertex of a quadratic function?
slamgirl [31]
The formula for a quadratic function is y=ax^2+bx+c.
The vertex is h, k. This can be found by evaluating y to get k, and dividung -b by a in order to get h.

Hope this helps!
6 0
3 years ago
Read 2 more answers
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