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Nataliya [291]
3 years ago
14

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a r

andom sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value
Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

0.9836

Step-by-step explanation:

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According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
steposvetlana [31]
An arithmetic sequence with first term a, and a common distance d si as follows:

m, m+d, m+2d, m+3d, ...

(for example: 3, 8, 13, 18 .... m=3, d=5)


let \displaystyle{ a_n be the n'th term of the arithmeti sequence

m, m+d, m+2d, m+3d, ...


then

a_1=m\\\\a_2=m+d\\\\a_3=m+2d\\\\a_4=m+3d \\\\ .\\\\.

so it is clear that the n'th term, si given by :

a(n)=m+(n-1)d


compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)

it is clear that m=-3, and d=-2.2, 

so the sequence 

m, m+d, m+2d, m+3d, ...

becomes:

-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....

so
 
-3, -5.2, -7.4, -9.6


the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:


<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8




remark, we could have use the formula directly and solve for A(1), A(4) and A(10), 

but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.



Answer:

1st term=-3

2nd term=-9.6

10th term = -22.8</span>
5 0
3 years ago
a truck costing 25000 with a residual value of 5000. the truck's estimated life is 10 years. what is the book value at the end o
sineoko [7]
$25,000 - 5,000 = $20,000
Since the useful life is 10 years or 10% per year, double-declining rate would be 20%

Year 1
$20,000 x .2 = $4000
Book Value = $16,000

Year 2
$16,000 x .2 = $3,200
Book Value = ($16,000-3,200) =$12,800
3 0
4 years ago
Can anyone help me and explain​
Ivan

Answer:

so all you have to do is graph the linear equation of y=3x+0. But, the greater than or equals to sign tells us to make a solid line and shade above

result:

Step-by-step explanation:

7 0
3 years ago
What is the area of a parallelogram that has a base of 9.2 inches and a height of 3.2<br> inches?
ehidna [41]

Answer:

29.44 in²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here b = 9.2 and h = 3.2, thus

A = 9.2 × 3.2 = 29.44 in²

3 0
3 years ago
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