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Serjik [45]
3 years ago
10

Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.

Mathematics
2 answers:
marishachu [46]3 years ago
5 0

Answer 16

Step-by-step explanation:

never [62]3 years ago
3 0

Answer:

\sqrt{203}

Step-by-step explanation:

1. 11^{2} + b^{2} = 18^{2}

2. b^{2} =203

3. b = \sqrt{203}

Can't be simplified.

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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â  Suppose a small group of 11 Allen's humming
alexira [117]

Answer:

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

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=3.15 represent the sample mean

\mu population mean (variable of interest)

\sigma=0.38 represent the population standard deviation

n=11 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 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that z_{\alpha/2}=1.28

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

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

8 0
3 years ago
Solve the inequality.<br> 4x + 3 &lt; 7 or 3x – 8 &gt; 7<br> -<br> x &lt; [?] or x &gt; [
ss7ja [257]

Answer:

4x + 3 < 7 \\ 4x + 3 - 3 < 7 - 3 \\ 4x < 4 \ \\ 4x \div 4 < 4 \div 4 \\ x < 1

3x - 8 > 7 \\ 3x - 8 + 8 > 7 + 8 \\ 3x > 15 \\ 3x \div 3 > 15 \div 3 \\ x > 5

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If Mel opens his refrigerator door 36 times every day, about how many times will it be opened in April? Will the exact answer be
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1080 times in April
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Given that <br> y<br> = 10 cm and <br> θ<br> = 55°, work out <br> x<br> rounded to 1 DP.
ElenaW [278]

Answer:

x=8.2

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (55) =opposite/hypotenuse

sin (55) =x/10

multiply both sides by 10 to get 10 * sin (55) = x

10 * sin (55) = 8.2

5 0
2 years ago
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