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aleksley [76]
3 years ago
12

Two numbers are the ratio 3:2. If the smaller number is 24, find the larger number.

Mathematics
1 answer:
erastova [34]3 years ago
5 0
Basically, you try to find 2 numbers that divide to 3/2. So, using trial and error, plug in numbers for x in this expression: x/24=3/2, and solve to find the number that makes it true. You end up getting 36/24=3/2. Hope that helps! :)
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Step-by-step explanation:

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It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i
Salsk061 [2.6K]

Answer:

(-\infty, 0.2661)

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.  

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The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

n=60 represent the sample size  

X=12 represent the number of masks that had lenses pop out at 250°

\hat p =\frac{12}{60}=0.2 represent the estimated proportion of masks that  had lenses pop out at 250°

p represent the population proportion of masks that  had lenses pop out at 250°

Confidence =0.9 or 90%

\alpha=0.1 represent the significance level

Confidence interval

On this case we want a interval on this form : (-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})

So the critical value would be on this case z_{\alpha}=1.28 and we can use the following excel code to find it: "=NORM.INV(1-0.1,0,1)"

We found the lower limit like this:

0.2 +1.28\sqrt{\frac{0.2 (1-0.2)}{60}}=0.2661

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3 0
3 years ago
Find the values of x,y,and z
iren2701 [21]

Answer:

Step-by-step explanation:

In parallelogram opposite sides are equal.

y = 12

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In parallelogram diagonals bisect each other

z = 8

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2 years ago
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