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2 years ago

Help help math math math

Mathematics

2 answers:

tamaranim1 [39]2 years ago

7 0

Answer:

V= 6912

Step-by-step explanation:

We are given in the diagram that the radius of the sphere is 12 cm. We are also asked to use the value 3 for pi. Simply insert these values for <em>r </em>and pi to complete the rest of the formula.

$V=\frac{4}{3} (3)(12)^3$

$V= \frac{4}{3} (3)(1728)$

$V= \frac{4}{3} (5184)$

$V= 6912$

Remember, you are asked to use 3 as the value for pi, so make sure you included that in your work.

Alina [70]2 years ago

3 0

Answer:

V= 6912

Step-by-step explanation:

hope it helpps

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Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were

miskamm [114]

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

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3 years ago

A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

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 values 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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values would be given by:

$t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96$

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 $ME =\pm 0.01$ 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:

$n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56$

And rounded up we have that n=6147

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4 years ago

A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C.

steposvetlana [31]

Putting all the names in a hat and selecting six students because the rest would not have been random because you know who you picked just by looking but if u put names in a hat you don't know who you picked.

8 0

4 years ago

Read 2 more answers

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an eq

Oksanka [162]

So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^{z}$

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4 years ago

Use synthetic division to divide (x^3 +12x^2 +48x +26) / (x+4)

deff fn [24]

Answer:

The correct option is C

Step-by-step explanation:

(x^3 +12x^2 +38x +26) / (x+4)

Use the coefficients of dividend.

And the divisor is -4:

Bring down 1 and multiply it by -4 and add to 12

12-4 = 8

Now multiply 8 by -4 = -32

48-32 = 6

Now multiply 6 by -4 = -24

26-24= R2

1 12 38 26

-4 -32 -24

_______________

1 8 6 R2

Thus the correct option is C ....

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3 years ago