An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week

Answers

Answer 1

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712


Related Questions

A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?

Answers

Answer:

Step-by-step explanation:

400 ÷ 16 = 25.

16 ÷ 16 = 1.

1 gallon = 25 miles.

275 ÷ 25 = 11

In conclusion, the car used 11 gallons for 275 miles.

Hope this helps!

Find the midpoint of the segment with the following endpoints.

(4,7) and (10,3)

Answers

Answer:

7, 5

Step-by-step explanation:

Answer:

I hope this may helps you

1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54

Answers

Answer:

56 / 8

Step-by-step explanation:

Let's compare two ant colonies: Ant Colony A and
Ant Colony B. We will use a function, a table, and a
graph to compare these two ant colonies.
Ant Colony A: The function a(x) = 210(1.12) represents
the number of ants in Ant Colony A, x days after an
experiment starts. There is also a table provided for Ant
Colony A on the whiteboard.
Ant Colony B: There is a graph on the whiteboard that
represents the number of ants in Ant Colony B during
the same time period.

Answers

Answer:

1.  There will be 20 more ants in Colony A than in Colony B

2.  2.35.2^x

Sorry but that's all I can give you.

Step-by-step explanation:

Answer:

3 is 30 i think

Step-by-step explanation: i am in that class i just used calc on first two numbers like the teacher told us to do U^U

hope i helped btw this is tiffany

Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.

Answers

Answer:

(b) the relationship between two quantitative variables

Step-by-step explanation:

Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.

You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?​

Answers

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4

Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?

Answers

2/8

If you are thinkinking logically, however, it's 50/50 since it's either you get them or not

Answer:he has a 75% chance of getting a piece without olives

Step-by-step explanation:

What is the least common denominator of 1/2,2/3 and 3/8 OA) 48 OB) 24 O C) 16 OD) 12 plz help me ​

Answers

Answer:

24

Step-by-step explanation:

The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

What is the least common denominator?

The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.

Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:

1/2 = (1/2) * (12/12) = 12/24

2/3 = (2/3) * (8/8) = 16/24

3/8 = (3/8) * (3/3) = 9/24

Check that the fractions have the same denominator:

12/24, 16/24, and 9/24

Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

Learn more about the least common denominator here: https://brainly.com/question/11221202
#SPJ7

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Find the value of x by filling in the blanks in the provided statement - reason solution.

I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!

Answers

Answer:

30

Step-by-step explanation:

What postulate/theorem can be used to prove the following triangles congruent?

Answers

Answer:

SAS

Step-by-step explanation:

2 sides and 1 angle are congurent

Answer:

The S.A.S rule can be used to prove the following triangles congruent.

Step-by-step explanation:

The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2  sides and angle of the other triangle, then u can considere that triangle congruent.

10 of 14
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

why in kilometers? 87.3 km/h

i will give brainliest<3

Answers

Answer:

4100

Step-by-step explanation:

If only the mens are 10%, The total is 100.

so we multiply 410 with 10 which gives 4100.

Omg I don’t get it look at the picture:(

Answers

Answer:

Cevap B

Step-by-step explanation:

fcxssazhgfxghfhdhddd

what is the sum

56+90=_____

Answers

Answer:

146

Step-by-step explanation:

the answer is 146!!!!!!

Maria receives a certain percentage, %, as a bonus, for each pair of shoes she sells. Last week she sold $10000 of shoes and earned $270 as a bonus. What was her bonus percentage?

2.7%
27%
2.07%
10%

Answers

——-It Should be 2.7

Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19

Answers


Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19

Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5

Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+

x
=
x
+
19
+

x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+

5
=
19
+

5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7

Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)

Answer:
x
=
7
and
y
=
26

15r-15s=
can you help

Answers

Answer:

i dlnt know 15 I think not sure

Answer: 0 i guess i dont know

Step-by-step explanation:

With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject

Answers

Answer:

We reject H₀ we found that at 5% significance level the single file causes shorther waiting times

Step-by-step explanation:

We will develop a chi-square test since it is a standard deviation test.

Conditions for chi-square test

1.-Population follows a normal distribution

2.-We have a random sample

Therefore

Test Hypothesis

Null hypothesis                           H₀            σ   =  7,2

Alternative hypothesis               Hₐ            σ   <  7,2

So it is a one tailed-test to the left

Sample size      n  = 25

Then df  =  25 - 1      df  = 24

Significance level  α = 5%    α = 0,05

With   df = 24  and   α = 0,05  we find

Χ₀ = 36,415  

Computing  X(s)

X(s)  = ( n - 1 ) * σ² / (7,2)²

X(s)  =  24* (3,5)² / 51,84

X(s)  =  294/51,84

X(s)  =  5,67

Comparing     Χ₀     and      Χ(s)

X(s) <   Χ₀

So X(s) is in the rejection region and we reject H₀

Quick I need help plz

Answers

Answer:

It's answer is 1/3 .

Hope it helps have a great time :)

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.

[tex]\frac{3}{10}[/tex]

Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].

Let' check.

If you divide 3 by 10, you will get the answer 0.3.

3 ÷ 10 = 0.3 (It's correct)

You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.

Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]

You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.

What is the equation of the line written in slope intercept form

Answers

Answer:

Where is the graph, once you upload it, I will change the answer

Step-by-step explanation:

Which are equivalent expressions?
Check all that are true.

A)8xy = 4x + 4y

B)x + 6x = 7x

C)x + 6y = 6xy

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

Answers

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Help with this problem

Answers

Answer:

18

Step-by-step explanation:

side length of triangle RST is 4 ✓ 3, 3 ✓ 3

So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18

sorry can u delete this my answer is wrong lol

TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW

Answers

I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one

-14 + 9x in standard form

Answers

Answer:

9x-14

Step-by-step explanation:

the format of the slope intercept formula mx+b

9x-14 in standard form. You’re welcome.

of the 8 friends sitting around the table at lunch, 6 brought their lunch from home. Which
grid represents the percent of the friends who brought their lunch from home?

Answers

You didn't provide any grid, but I can tell you how to turn fractions into percentages: just build the following proportion

[tex]6\div 8=x\div 100[/tex]

and solve for [tex]x[/tex]:

[tex]x=\dfrac{600}{8}=75[/tex]

So, 75% of the friends brought their lunch from home.

I have no idea how to solve this, please help with the answer

Answers

SAS similarity. the angle degree is the same. if you multiply 14 and 8 by a factor of 7 you get 98 and 56 which means the triangle have the same ratio making them similar. because of this ratio it makes the side similar therefore being a SAS similarity because the angle is between the sides.

Given sin theta and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.

Answers

Answer:

Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!

Answer:

sin theta in Quadrant III,

sin theta =√(1-cos²theta)

It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month. His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance. Guido’s mom said they have to spend the same amount. How many minutes can he talk?

Answers

Answer:

10 Minutes

Step-by-step explanation:

To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes

How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?

A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)

Answers

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

find the measure of the line segment TV​

Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

  EU·ES = ET·EV

  8·9 = (12x)(6x)

  72 = 72x^2

  x^2 = 1   ⇒   x = 1

Then the length of interest is ...

  TV = ET +EV = 12·1 +6·1

  TV = 18

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