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slega [8]
2 years ago
14

The manufacturer of a certain type of new cell phone battery claims that the average life span of the batteries is 500 charges;

that is, the battery can be charged at least 500 times before failing. To investigate the claim, a consumer group will select a random sample of cell phones with the new battery and use the phones through 500 charges of the battery.a. If the claim is true, what is P( X ≤ 36.7) ?b. Based on the answer to part (a), if the claim is true, is a sample mean lifetime of 36.7 hours unusually short?c. If the sample mean lifetime of the 100 batteries were 36.7 hours, would you find the manufacturer's claim to be plausible? Explain.d. If the claim is true, what is P( X ≤ 39.8)?e. Based on the answer to part (d), if the claim is true, is a sample mean lifetime of 39.8 hours unusually short?f. If the sample mean lifetime of the 100 batteries were 39.8 hours, would you find the manufacturer's claim to be plausible? Explain.

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

Answer:

a. 0

b. Yes

c. The manufacturers claim is not plausible

d. 0.3446

e. A sample mean life time of 39.8hr is not unusually short.

f. The manufacturers claim us plausible

Step-by-step explanation:

Please see attachment

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Jeff and his family are driving to visit his grandmother they have driven about 30 miles which is about 2/3 of the way how much
Scilla [17]

Answer:  15 miles

<u>Step-by-step explanation:</u>

2/3 of the way is 30 miles

Let x represent the total distance to grandmother's house, then

\quad \dfrac{2}{3}x=30\\\\\rightarrow 2x=90\\\\\rightarrow x = 45


Since the total distance is 45 and they have already driven 30 miles, there is 15 miles to go

3 0
2 years ago
Explain how to resolve this problem. there are 13 books.some books cost $9 each and the rest cost $8 each. A total of $108 spent
Katen [24]
X=one type that cost 9
y=one type that cost 8

total books=type1+type2
total books=13
x+y=13

the total cost=cost of each added together
cost of each=number of books times cost per book
total cost=108
9x+8y=108


we have
x+y=13
9x+8y=108
solve for x and y

multiply first equation by -8 and add to first equation
-8x-8y=-104
<u>9x+8y=108 +</u>
x+0y=4

x=4
subsitute
x+y=13
4+y=13
minus 4
y=9

4 of the $9
9 of the $8

thats how to solve
6 0
2 years ago
Read 2 more answers
Tricia is going to write Patterns A , B , and C using the rule add 15. The first number in each pattern is shown below . Use the
oksian1 [2.3K]

Answer:

<h2>Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.</h2>

Step-by-step explanation:

Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.

<h3>Pattern A.</h3>

5+20+35+50+65+80+95+110+125+140+155+170+185+200+215+...

<h3>Pattern B.</h3>

10+25+40+55+70+85+100+115+130+145+160+175+190+205+...

<h3>Pattern C.</h3>

15+30+45+60+75+90+115+130+145+160+175+190+205+...

As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.

8 0
2 years ago
Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two
Readme [11.4K]

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

5 0
2 years ago
Students make 93.5 ounces of liquid soap for a craft fair. They put the soap in ​5.5-ounce bottles and sell each bottle for ​$4.
s2008m [1.1K]

Answer:

$76.5

Step-by-step explanation:

93.5÷5.5=17

17×4.50=76.5

Therefore the answer is 76.5.

8 0
2 years ago
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