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KonstantinChe [14]
3 years ago
5

Sound intensity of certain Vacuum Cleaner is a random variable having a normal distribution with a mean of 75 dB and a standard

deviation (population) of 3 db. Using p-value approach, test the null hypothesis µ = 75 against the alternative hypothesis µ ≠ 75.
Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

10 thousand times loud pls mark me as the brainliset hope it helps you

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A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of
Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= \frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40

= 9+8+3.4+3.6+3.8+6=33.8

Hence, the third option 33.8 is the correct expected value.

3 0
3 years ago
Given the line a and b are parallel angles 1 and5 are congruent because they are
kakasveta [241]

Answer:

Step-by-step explanation:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles.

figure51

Vertical angles are always congruent, which means that they are equal.

Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap.

figure52

The size of the angle xzy in the picture above is the sum of the angles A and B.

Two angles are said to be complementary when the sum of the two angles is 90°.

figure53

Two angles are said to be supplementary when the sum of the two angles is 180°.

figure54

If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal

When a transversal intersects with two parallel lines eight angles are produced.

figure55

The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Example

figure56

The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65°?

6 and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.

6 and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.

6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.

4 0
2 years ago
−4+8x)+3&gt;x−4?<br><br> x&gt;16<br><br> x&lt;−1<br><br> x&lt;−323<br><br> x&gt;433
pentagon [3]

Answer:

x > 4/33

Step-by-step explanation:

(-4 +8x) +3> x/-4

8x - 1 > x/-4

-32x + 4 < x

4 < 33x

4/33 < x

6 0
2 years ago
Lisa is making cookies but she only has three cups of sugar she needs 1 and 2/3 cup of sugar for the cookies and 2/3 cup of suga
aliya0001 [1]

Answer:

she has 2/3 cup left

Step-by-step explanation:

1 and 2/3 + 2/3 =2 and 1/3 what is left??

2/3

7 0
2 years ago
Find the cost of sending a telegram which has 34words if the cost of the first ten words is4050$and the cost of each extra word
Stells [14]

Answer:

The final cost would be $42,780 for sending a 34 word telegram.

Step-by-step explanation:

1. $4050*10= $40,500

2. 34-10=24

3. 24*$95= $2,280

4. $40,500+$2,280= $42,780

Hope this helps! :)

<h3>CloutAnswers</h3>
3 0
3 years ago
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