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2 years ago

What is the measure of angle JHN.

Mathematics

2 answers:

Julli [10]2 years ago

5 0

Answer:

it's a)25

Step-by-step explanation:

angle MHL and JHN+NHK should be the same, they both are 95 degrees

gizmo_the_mogwai [7]2 years ago

5 0

Answer:

45°

Step-by-step explanation:

first of all find X

(3x+20) - (x+25) =x + 20

3x+20-x-25=x+20

3x-x+20-25=x+20

2x-5=x+20

collect like terms

2x-x=20+5

x=25°

recall JHN= (x+20)°

x=25

JHN=((25)+20)°

JHN=(25+20)°

JHN=45°

Hope it is helpful

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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:

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

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

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

Step-by-step explanation:

The problem is incomplete. The questions are:

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

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

Then, the confidence interval for the mean is:

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

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

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

Then, we can calculate the margin of error as:

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

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

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:

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

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3 years ago

What is five and nine tenths in expanded form?

djyliett [7]

It is 5+0.9

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3 years ago

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What is the perimeter of a square with an area of 324 cm2?

andriy [413]

To find the perimeter we must first find the length of the sides. How to do this is shown below:

The formula for the area of a square is:

A = s²

Area = side²

We know that area (A) is 324

324 = s²

Now we must find the length of the side (s). To do this we must get rid of the square. To remove the square from s take the square root of both sides:

√324 = √s²

18 = s

Each side of the square is 18 cm

Now we can find the perimeter of the square using the formula:

P = 4s

P = 4(18)

P = 72

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3 years ago

A cylindrical tree trunk is 14 yards high from the ground up to the lowest branch, and it measures 4 yards around. What is the v

Len [333]

The volume of the cylindrical figure is given by:
V=πr^2h
Given that the circumference of the figure is 4 yds, the radius will be:
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3 years ago

What is the mean of 72, 65, 76, 34, 98, 76, 64, 54, and 64.

SOVA2 [1]

Answer:

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

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2 years ago

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