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3 years ago

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A triangular sandbox has angles whose measures are in the ratio 3:7:2. What is the measure of the smallest angle? a. 10° b. 30°

c. 70° d. 20°

1 answer:

IRISSAK [1]3 years ago

4 0

Sum of ratios: 3 + 7 + 2 = 12

Measure of smallest; sum of angles in triangle = 180

Smallest: (2/12)* 180 = 30

30°

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Please help ;-; -x^3+5x^2+6x=0 solve for x and show work

castortr0y [4]

The only possible answer is
X= 0
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3 years ago

Read 2 more answers

On a factory floor, 30 out of every 140 toy robots is defective. What percent is defective?

yaroslaw [1]

Answer:

$21.43\%$

Step-by-step explanation:

we know that

To find out the percent of robots which are defective, divided the number of defective robots by the total number of robots and multiply the result by 100

Let

x ----> the number of defective robots

y ----> the total number of robots

p ---> percentage of robots which are defective

so

$p=\frac{x}{y} (100)$

we have

$x=30\\y=140$

substitute

$p=\frac{30}{140}(100)$

$p=21.43\%$

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3 years ago

Can somebody answer this question? Please show work and whoever does it best get's brainliest and 5/5 stars

balandron [24]

Answer:

-49

Step-by-step explanation:

-49

5 0

3 years ago

49 is 35% of what number?

NNADVOKAT [17]

We write this like this:

49=35%x

and we want to find the x.

let's invert the sides:

35%x=49.

35 is equal to 0.35

0.35*x=49

and now we only divide both sides by 0.35:

x=140

so the answer is 140.

(aternatively we can do it through fractions:

35/100*x=49
divide both sides by 7:

5/100*x=7

simplify the first fraction
1/20*x=7

and multiply by 20:

x=140

4 0

3 years ago

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 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

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

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 =15, 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)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago