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zloy xaker [14]
3 years ago
7

There are two main brands of ultrasonic humidifiers. Suppose a simple random sample of 125 humidifiers is selected from each bra

nd. For each sampled humidifier, the output of moisture (in oz) was measured in a controlled chamber. The average measurement for the humidifiers of the first (resp. second) brand was 12.7 (resp. 12) and the corresponding standard deviation was 2.5 (resp. 2). (a) Obtain an approximate 95% confidence interval for the difference between the average output among all humidifiers of the first brand and the average output among all humidifiers of the second brand. Does it include 0? (b) Test the hypothesis that there is no difference between the average outputs of the two brands at a 5% significance level.
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

Step-by-step explanation:

Download docx
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Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
Dmitriy789 [7]

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

8 0
3 years ago
The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin
quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

<u>So, </u>According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of <u>The inscribed circle</u>

<u>So, the center of The inscribed circle is the point S</u>

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

<u>So,</u> According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of <u>The circumscribed circle</u>

<u>So, the center of The circumscribed circle is the point P</u>

5 0
3 years ago
An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Semenov [28]
t_{n}=t_{n-1}+78
7 0
3 years ago
Read 2 more answers
An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take o
Lubov Fominskaja [6]
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.

Please see the attached picture for the work.

51 minutes is the longer time.
34 minutes for the other machine.

6 0
3 years ago
First 5 multiples of 7
GarryVolchara [31]

Answer: 0, 7, 14, 21, and 28

Step-by-step explanation: To find the first 5 multiples of 7, multiply 7 by the first 5 whole numbers which I have done for you in the image attached.

To quickly review, the set of whole numbers are shown below.

{0, 1, 2, 3, 4, ...}

The numbers that I have highlighted in green will be your first 5 multiples.

7 0
3 years ago
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