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Vesnalui [34]
4 years ago
7

Geometry the value of X

Mathematics
1 answer:
raketka [301]4 years ago
8 0
Since the symbol tells us the angle is 90 degrees we know the 4x and 5x add up to make 90 degrees.
Lets use this to make and form an equation

5x + 4x = 90
9x =90    (collect the x values)
x = 10        (divide both sides 9 to find what x is)
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In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a
Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it.  The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Where the semiamplitude or margin of error of the interval is:

d= Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Using a 95% level Z_{0.975}= 1.965

d= 1.965 * \frac{2.1}{\sqrt{80} }

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0
3 years ago
Can anyone help? Please.
lisabon 2012 [21]

Answer:

29.9

Step-by-step explanation:

Divide the earnings by the time.

179.4/6 = 29.9

418.6/14 = 29.9

867.1/29 = 29.9

3 0
3 years ago
What is the relationship between a linear pair and supplementary angles
lidiya [134]

Answer:

Relationship between a linear pair and supplementary angles is " If two angles form a linear pair then they are supplementary."

Step-by-step explanation:

Supplementary angles are two angles whose sum is 180°.

Linear pair is a pair of two angles that forms a straight line.

We have to find the relationship between a linear pair and supplementary angles.

Since A linear pair forms a straight line so angle formed at any point on the straight line is 180°, thus forms supplementary angles.

Thus, Relationship between a linear pair and supplementary angles is " If two angles form a linear pair then they are supplementary."


4 0
3 years ago
Read 2 more answers
Someone could help me out to find the answer thanks​
Luden [163]

Answer:

  h(x) = 11/(x -4)

Step-by-step explanation:

The domain of m(x) is restricted to x≠1. That means the domain of m(n(x)) must be restricted so that n(x)≠1, or x≠4.

The only offered choice with a domain restriction x≠4 is the 3rd choice:

  h(x) = 11/(x -4)

4 0
3 years ago
8th term of 1/4,1/8,1/16,1/32
sukhopar [10]
a_1=\dfrac{1}{4};\ a_2=\dfrac{1}{8};\ a_3=\dfrac{1}{16};\ a_4=\dfrac{1}{32};...\\\\it's\ a\ geometric\ sequence\ where\ a_1=\dfrac{1}{4}\ and\ r=\dfrac{1}{8}:\dfrac{1}{4}=\dfrac{1}{2}\\\\a_n=a_1r^{n-1}\\\\n=8\\\\a_8=\dfrac{1}{4}\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{1}{4}\cdot\left(\dfrac{1}{2}\right)^6=\dfrac{1}{4}\cdot\dfrac{1}{64}=\dfrac{1}{256}
4 0
3 years ago
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