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2 years ago

Jackson has a collection of 260 coins. How many coins represent 5% of his collection?

Mathematics

2 answers:

krok68 [10]2 years ago

7 0

Answer:

13 coins

Step-by-step explanation:

100% --> 260

1% --> 2.6

5% --> 13

11Alexandr11 [23.1K]2 years ago

4 0

Answer:

13 coins

Step-by-step explanation:

5% of his collection means that we are asking for 5 coins per 100 coins in his current collection. This can be simplified into 5/100 of the collection, which is 1/20. If there are 260 coins in his collection, 1/20 x 260 = 13 coins.

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A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in. Determine the minimum sample

leva [86]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

Step-by-step explanation:

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)

$\sigma=0.25$ represent the population standard deviation

n represent the sample size (variable of interest)

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.1 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

8 0

3 years ago

Complete this statement 40xa^2+24ax+32a=8a( )

harina [27]

40xa^2 + 24 ax + 32 a =

all you have to do is factor out a 8a from each term
aka reverse distribution property

8a (5 a + 3x + 4)

8 0

3 years ago

The degree of a vertex is <br><br> Help please

Nina [5.8K]

Answer:

is the number of graph edges which touch v

Step-by-step explanation:

To find the degree of a graph, figure out all of the vertex degrees. The degree of the graph will be its largest vertex degree. The degree of the network is 5.

Once you know the degree of the verticies we can tell if the graph is a traversable by lookin at odd and even vertecies. First lets look how you tell if a vertex is even or odd.

7 0

3 years ago

Math help pls i don’t understand how to solve this

pochemuha

<h3>Answer: y = x+1</h3>

===================================================

Explanation:

f(x) = x^3 - 2x + 3

f ' (x) = 3x^2 - 2 ..... apply the power rule

f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point

f ' (1) = 1

If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.

Now apply point slope form to find the equation of the tangent line

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

y = x - 1 + 2

y = x + 1 is the equation of the tangent line.

The graph is shown below. I used GeoGebra to make the graph.

4 0

3 years ago

4 less than 6x, cubed

inn [45]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ You would write this as:

6x^3 - 4

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0

3 years ago

Read 2 more answers