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goldenfox [79]
3 years ago
6

A life insurance company has determined that each week (7 days) an average of seven claims is filed in its Nashville branch. Def

ine x as the number of claims filed in a one-week period. What is the probability that during the next 3 days, two claims will be filed?
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

The probability of having two claims in three days is 0.225.

Step-by-step explanation:

This type of process can be modeled by the Poisson distribution.

This distribution has a rate, that in this case is x: number of claims filled in a one-week period.

The probabilty density function can be written as

P(y=k)=\frac{(xt)^ke^{-xt}} {k!}

In this case, t =3 \,days =3/7\,weeks= 0.429\,weeks.

The probablity of having two claims in three days is:

P(y=2)=\frac{(7*(3/7))^2e^{-7*(3/7)}} {2!}=\frac{3^2*e^{-3}}{2}=\frac{9*0.05}{2}=0.225

The probability of having two claims in three days is 0.225.

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Explain how you can find the sign of the product of two or more rational numbers
Solnce55 [7]

Comparing two rational numbers

<span> Use fraction form: </span>

 

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

 

a/b=a*d/b*d

<span>  = ad/bd and c/d = c*b/d*b=bc/bd</span>

 

Now just compare the numerators : "ad" and "bc"

 

<span>Multiplying and Dividing Rational Numbers  </span>

 

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

 

Solution => 3.12*2.4=7.488

 

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

 

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

 

Example => 5/9 divided by 2/7 .

 

<span>Solution => 5/9 * 7/2 =  35/18 </span>

 

 

Adding Rational numbers

 

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

 

Example => -3.54+2.79=-0.75

 

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators. 

8 0
3 years ago
Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


6 0
2 years ago
Find g: 3g + 15 − 12 + 3 − 2g + 4 = 1
lisov135 [29]

Answer:Group of answer choices

Step-by-step explanation:

What you first want to do is like and unlike terms so basically liketerms are terms withthe same sign and unlike terms are terms with diferent signs for instinse 3g and 2g are like terms so -33 and -9 and -9 and 9 are unlike terms so you just have to find the like and unlike terms to answer the question!

6 0
2 years ago
Read 2 more answers
The first four terms of an arithmetic sequence are -11,-5,1,7. what is the equation for an
mr_godi [17]

Answer:

y = 6x - 11

Step-by-step explanation:

An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.

-11 + 6 = -5

-5 + 6 = 1

1 + 6 = 7

etc....

Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.

y = 6x - 11

7 0
3 years ago
HELP ME PLZZZZZ Now class test
Airida [17]

Answer: 0.59 cents per a pounds =y

Step-by-step explanation:I dont know if this is what you are talking about

7 0
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