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WITCHER [35]
3 years ago
15

What is WZ? Please, and thank you.

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

WZ=17

Step-by-step explanation:

2(3x+3)=4x-10+6x-16

6x+6=10x-26

10x-6x=6+26

4x=32

x=8

2(4x-10)=3x+3+WZ

WZ=8x-20-3x-3

WZ=5x-23

WZ=5×8-23=17

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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
The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the
Vaselesa [24]

Answer:

Option B: 26cm is the radius of smaller circle.

Step-by-step explanation:

Given that:

Ratio of circumferences of two circles = 2:3

We know that circumference of circle is given by 2πr.

Radius of larger circle = r_{2} = 39 cm

Radius of smaller circle = r_{1}

Now,

\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}

Putting radius of larger circle

\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.

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3 years ago
Deal city is having a sale on a video game that, because of it popularity is notoriously hard to get ahold of. While waiting in
Gekata [30.6K]

Answer:

16 people

Step-by-step explanation:

I got the answer because I had the same question and I did did 16 people and I got to correct so I think you're going to get it correct too I don't really have and step by step explanation hope this helps

5 0
2 years ago
300 hundred a month is how much a day
Vikentia [17]
Divided 300 by 30. Which is 10
8 0
3 years ago
Read 2 more answers
Mrs Prabhakar open a recurring deposit account of rupees 300 per month at 8% simple interest per annum on maturity he gets rupee
Goryan [66]

Step-by-step explanation:

300 x 8/100 x 1

=24

=(24+300)=324

=9930-324=9606

5 0
3 years ago
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