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3 years ago

What number is equivalent to 34/10

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

17/5

3.4

Step-by-step explanation:

there could be multiple so theres a fraction and a decimal

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I am struggling with these questions. Please help

Sauron [17]

Answer: Just apply the formula

Step-by-step explanation:

The equation for volume of a cone is:

$V_{(cone)} =\frac{1}{3} \pi r^{2} h$

The radius is the line that creates a 90 degree angle with the height

The height goes from the base to the tip of the cone.

I recommend leaving Pi as it is and plugging the rest of the numbers first.

Then at the end multiply by 3.14 and round at the end.

This way, it is easier to avoid calculation errors.

5 0

3 years ago

The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt

drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

$p=10/2900\approx0.00345$

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

$E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65$

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

8 0

3 years ago

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti

zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, $\mu=18$

and standard deviation, $\sigma=2.6$

The z-score, for any arbitrary life span of x year, is given by

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

By using the given values, we have

$z=\frac{x-18}{2.6} \cdots(i)$

The z-score for x=24, by using equation (i), is

$z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31$

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0

2 years ago

Read 2 more answers

In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu

olya-2409 [2.1K]

Answer:

$19.6-2.42\frac{5.8}{\sqrt{42}}=17.43$

$19.6+2.42\frac{5.8}{\sqrt{42}}=21.77$

And the best option for this case would be:

a. (17.5, 21.7)

Step-by-step explanation:

Information given

$\bar X= 19.6$ represent the sample mean

$\mu$ population mean

$\sigma= 5.8$ represent the population deviation

n=42 represent the sample size

Confidence interval

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=42-1=41$

Since the Confidence is 0.98 or 98%, the significance would be $\alpha=0.02$ and $\alpha/2 =0.1$ , and the critical value would be $t_{\alpha/2}=2.42$