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timofeeve [1]
3 years ago
5

|1 - 4x| > 7

Mathematics
1 answer:
Ber [7]3 years ago
7 0
|1-4x| > 7\iff1-4x > 7\ \vee\ 1-4x < -7\ \ \ |-1\\\\-4x > 6\ \vee\ -4x < -8\ \ \ |:(-4)\\\\x < -1.5\ \vee\ x > 2\\\\Answer:\boxed{B.\ \{x:x < -1.5\ \cup\ x > 2\}}
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What is the solution for 9 &gt; x - 7?
vodka [1.7K]

Answer:

C

Step-by-step explanation:

9 > x - 7

+7 +7

16 > x

The answer is C.

6 0
3 years ago
There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0
3 years ago
In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.
Vilka [71]

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

In triangle LMN:

We can find the length of l using sine rule:

\frac{l}{sinL}=\frac{n}{sinN}  \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)}  \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\

5 0
2 years ago
How to set up a problem for law of sines when m
Sergeu [11.5K]
I think you meant to have more of a problem stated.
Basically, you use the Law of Sines when you have 2 angles but the length of only one side.

The formula for this law is
a / sine(A) = b / sine(B) = c / sine(C)


8 0
2 years ago
Question:
lina2011 [118]

Answer:

$21

Step-by-step explanation:

starting money: 51

cost of each book = 3

total books bought = 10

3*10 = $30 spent on books

51-30 = $21 left

8 0
2 years ago
Read 2 more answers
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