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3 years ago

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a right rectangular prism has a length of 8 cm, width of 10 cm and height of 10 cm and volume of the prism can be determined by

multiplying the length, /, by the width, w, by the height, h

1 answer:

sukhopar [10]3 years ago

5 0

Yes so you would do 8 x 10 x 10 , so that would equal 800 , so the volume would be 800cm^3

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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

Question 1<br> 8x + y = 2020: Solve for y.

Katarina [22]

Answer:

y = -8x+2020

Step-by-step explanation:

8x + y = 2020

Subtract 8x from each side

8x-8x + y = -8x+ 2020

y = -8x+2020

8 0

3 years ago

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A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2

Yuliya22 [10]

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.

Answer: The correct option is B) about 34%

Proof:

We have to find $P(4.2$

To find $P(4.2$ , we need to use z score formula:

When x = 4.2, we have:

$z = \frac{x-\mu}{\sigma}$

$=\frac{4.2-5.1}{0.9}=\frac{-0.9}{0.9}=-1$

When x = 5.1, we have:

$z = \frac{x-\mu}{\sigma}$

$=\frac{5.1-5.1}{0.9}=0$

Therefore, we have to find $P(-1$

Using the standard normal table, we have:

$P(-1$ = $P(z$

$=0.50-0.1587$

$=0.3413$ or 34.13%

= 34% approximately

Therefore, the percent of data between 4.2 and 5.1 is about 34%

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3 years ago

Helppppppppppp plsssssss n ty

Alexus [3.1K]

Answer:

C. $\frac{1}{8}$

C. $\frac{1}{32}$

Step-by-step explanation:

A unit fraction is a fraction that has 1 as it's numerator and a positive number as it's denominator.

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2 years ago

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The difference of three times a number and 4 is -15

attashe74 [19]

Answer:

Let the number be n.

3n - 4= -15

3n= -15+4

3n= -11

n= -11/3

n= -3.67 or n= -3 2/3

Step-by-step explanation:

Bring over 4 to the RHS of the equation and divide the RHS by 3.

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3 years ago