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Oksi-84 [34.3K]
3 years ago
8

Solve log 5x - 1 = 3. Round to the nearest thousandth if necessary.

Mathematics
2 answers:
Keith_Richards [23]3 years ago
5 0
I believe the answer is C. 0.8
Zepler [3.9K]3 years ago
4 0
I’m pretty sure it’s C
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A. The arc length AC is not congruent to arc BD.
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180 degree

Step-by-step explanation:

When all sides of a triangle is added you will end up with 180 degree.

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The ideal (daytime) noise-level for hospitals is 45 decibels with a standard deviation of 10 db; which is to say, this may not b
WINSTONCH [101]

Answer:

<em>(a) A 99% confidence interval for the actual mean noise level in hospitals is </em><em>(44.02 db, 49.98 db)</em><em>. </em>

<em>(b) We can be 90% confident that the actual mean noise level in hospitals is </em><em>47 db</em><em> with a margin of error of </em><em>1.89 db</em><em>. </em>

<em>(c) Unless our sample (of 81 hospitals) is among the most unusual 2% of samples, the actual mean noise level in hospitals is between </em><em>44.41 db and 49.59 db</em><em>. </em>

<em />

Step-by-step explanation:

<em>The problem is incomplete. The questions are:</em>

<em />

<em>(a) A 99% confidence interval for the actual mean noise level in hospitals is </em><em>(44.02 db, 49.98 db)</em><em>. </em>

For a 99% CI, the value of z is z=2.58

Then, the confidence interval for the mean is:

M-z\sigma/\sqrt{n}\leq\mu\leq M-z\sigma/\sqrt{n}\\\\47-2.58*10/\sqrt{75}  \leq\mu\leq47+2.58*10/\sqrt{75}\\\\47-2.98\leq\mu\leq47+2.98\\\\44.02\leq\mu\leq 49.98

<em>(b) We can be 90% confident that the actual mean noise level in hospitals is </em><em>47 db</em><em> with a margin of error of </em><em>1.89 db</em><em>. </em>

For a 90% CI, the value of z is z=1.64.

Then, we can calculate the margin of error as:

E=z*\sigma/\sqrt{n}=1.64*10/\sqrt{75}=1.89

<em>(c) Unless our sample (of 81 hospitals) is among the most unusual 2% of samples, the actual mean noise level in hospitals is between </em><em>44.41 db and 49.59 db</em><em>. </em>

The 2% tails data corresponds, in the standard normal distirbution, to the values of z whose absolute value is higher than 2.33.

The values of db for these critical values are:

X_1=M+z_1*\sigma/\sqrt{n}=47+(-2.33)*10/\sqrt{81}=47-2.59=44.41\\\\\\ X_2=M+z_2*\sigma/\sqrt{n}=47+(2.33)*10/\sqrt{81}=47+2.59=49.59

3 0
4 years ago
Equilateral Triangle MNP has perimeter 12a+18b.
cestrela7 [59]
12 / 3 = 4 and 18 / 3 = 6, you divide it by 3 because there are 3 sides in a triangle so on side is equal to 4a + 6b.
3 0
3 years ago
Which of the following segments is a radius of OK?
kupik [55]

Answer:

  A.  KM

Step-by-step explanation:

A circle is named by its center. Circle K has its center at point K.

A radius is a line segment that extends from the center of the circle to a point on the circle. Point K must be one end of any radius.

<h3>Application</h3>

Segment KM is a radius.

Segments between points on the circle are <em>chords</em>. The other named segments in the answer choices are all chords of the circle.

8 0
1 year ago
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