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3 years ago

5

barnaby has 288 counters in a bag. the counters are red yellow and white. 3/8 of the counters are yellow and white in the ratio

of 1:4. work out how many counters of each colour there are.

1 answer:

postnew [5]3 years ago

8 0

Answer:

idk

Step-by-step explanation:

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A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder

natita [175]

$\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill$

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3 years ago

Akash's cell phone bill was \$79.99$79.99dollar sign, 79, point, 99 per month for 333 months. His payments came out of his check

slega [8]

Answer:

A.

Step-by-step explanation:

The total amount Akash paid in those 3 months for his cell phone bill.

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3 years ago

Read 2 more answers

A box can be filled completely using 9 layers of 11 units cubes. What is the volume of the box?

mote1985 [20]

The volume of the box is 99 unit cubes.

<h3>What is the volume of the box?
</h3>

A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.

Volume of a box = number of layers x amount of units

9 x 11 - 99 unit cubes

To learn more about the volume of a cuboid, please check: brainly.com/question/26406747

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6 0

2 years ago

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

Valentin [98]

Answer:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324 \approx 4.3$

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

Step-by-step explanation:

Data: 10,9,20,13,12

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,4)".And we see that $t_{\alpha/2}=4.604$

Now we have everything in order to replace into formula (1):

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

6 0

2 years ago

The area of the circle above is 1926.5 unit 2 what is the circumference?

Stolb23 [73]

Answer:

The circumference is 155.49 unit

Step-by-step explanation:

First we need to know the formulas of the area and the perimeter

π = 3.14

a = 1926.5 u²

a = π * r²

p = 2 π * r

First we have to clear the r

a = π * r²

r = √(a * π)

r = √(1926.5 / 3.14)

r = √613.535

r = 24.76

Now that we got r we can calculated the perimeter

p = 2 π * r

p = 2 * 3.14 * 24.76

p = 155.49

3 0

3 years ago