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3 years ago

In Oscar's grade, 70 students are enrolled in health and 30 students are not. What

Mathematics

2 answers:

julia-pushkina [17]3 years ago

6 0

Answer:

70% of the students are enrolled in health class.

Step-by-step explanation:

We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.

$70 + 30 = 100$

Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.

$\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%$

Therefore, 70% of the students are enrolled in health class.

andrezito [222]3 years ago

3 0

Answer:

70%

Step-by-step explanation:

Step 1:

70 + 30 = 100 Add

Step 2:

Total of 100 Students

Step 3:

70/100 Divide

Answer:

70%

Hope This Helps :)

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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and

WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.65$ estimated proportion.

$p$ true population

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

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 $ME =\pm 0.06$ 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:

$n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968$

And rounded up we have that n=170

6 0

3 years ago

Help me solve this equation and explain how you got the answer! I’ll give you brainliest

Alborosie

The answer to ur question is a

3 0

2 years ago

Neeeeed help please

Nikolay [14]

A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.

3 0

3 years ago

Read 2 more answers

What is y x 6 for y = 2/3?

ycow [4]

If y = 2/3 , we simply plug it in the equation.

2/3 x 6 =

Convert 6 into a fraction.
6/1

2/3 x 6/1 = 12/3 = 4

Answer: 4

3 0

3 years ago

Read 2 more answers

What is the median of 1.6 , 2.3 , 1.4 , 2.5 , 1.7

lisov135 [29]

First, reorder the numbers from least to greatest