Solve the formula d= st for s

A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key ch

Ulleksa [173]

Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question, and will be teaching you how to handle it on your own in the future.

We have 350 total keychains, in which 10% are yellow, 3/5 are green, and x are red. We will be solving for red, but we need to subtract 10% and 3/5 from 350.

So, let's find out how much 10% of 350 is.
Since 10% is equivalent to 1/10, we can divide 350 by 10 to find how many yellow key chains there are.
350 / 10 = 35.
There are 35 yellow key chains. We can subtract this from 350 to narrow it down.
350 - 35 = 315.

Now, let's find how much 3/5 of 350 is, and subtract it from our new number (315).

Divide 350 by 5, and then multiply that quotient by 3.
350 / 5 = 70.
70 x 3 = 210.

We have 210 green key chains. Now let's subtract that from 315. This will give us the remaining key chains - which are red.
315 - 210 = 105.

There are 105 red key chains.

I hope this helps!

3 0

3 years ago

I was doing this task in math and I came across this:

Galina-37 [17]

Answer:

mx+b+a= x-12x=0.88x

Step-by-step explanation:

4 0

3 years ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

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

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

4 years ago

Write the coordinates of the vertices after a translation 5 units right and 2 units up.

Vikentia [17]

Answer:

c=(1,-8)

d=(7,-8)

e=(7,0)

f=(1,0)

Step-by-step explanation:

It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.

4 0

3 years ago

Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile

True [87]

Answer: |3-(-8)|

Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = $|3-(-8)|$ miles=11 miles

5 0

3 years ago

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