Assuming that 6 in 10 automobile accidents are due mainly to a speed violation, find the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation (a) by using the formula for the binomial distribution; (b) by using Table A.1.

Answers

Answer 1

Answer:

A ) 0.2090 B) .2090

Step-by-step explanation:

∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.

Lets consider it success if an accident is due to speed violation.

-Probability of a success in each trial is p = 6/10 = 0.6

-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60

Answer 2

The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

 

It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.

In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.

Probability =favorable outcome/ total outcome

Probability = 6/8

Probability =0.75

Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

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Related Questions

A stack of bricks has a
base with an area of 38
inches. If the height is 12
inches, then what is the
volume?

Answers

Answer: 456 inched cubed

The Explanation: Basically, we are going to take the base area which is 38 and multiply that by a height of 12.

38 x 12 = 456

Kira wants to buy a tablet computer for $600.she has already saved $275.she plans to save $40 every week until she has enough money to buy the tablet. In how many weeks will she be able to buy the tablet?

Answers

Answer:

600-275=325

325/40=8.125

Approximately she will buy the tablet in 9 weeks

You order a pizza for dinner. The circumference of the pizza is 31.4 inches. What are the radius and diameter of the pizza? What is the area of the pizza?

Answers

Answer:

Diameter: 10 inch

Radius: 5 inch

Area: 78.54 inch

I hope I'm right let me know

Adding and subtracting fractions with different denominators D:

Answers

Answer:

(I only did question 11 because the rest is just repetition)

Step-by-step explanation:

make the denominators the same by finding the LCM (lowest common multiple)

(I apologise if I do this incorrectly, the image is very blurry)

So what I did was make the denominator a number that both 2 and 3 can multiply to. (2x3=6 and 3x2=6)

Then whatever you do to the bottom you always do to the top.

- to go from 2 to 6, multiply by 3

- do that to the numerator

- to get from 3 to 6, multiply by 2

- do that to the numerator

= 17/6

Simplify to mixed fraction

HELP ME PLS This pattem follows the "add 3" rule What is the next number in the pattern? 3. 6. 9. 12, 15,​

Answers

Answer:

18

Step-by-step explanation:

Since it's an add 3 rule, you need to add 3 to 15

3+15=18

apply the distributive property 3(7x+1)

Answers

Answer:

[tex]\displaystyle 3 + 21x[/tex]

Step-by-step explanation:

[tex]\displaystyle 3[7x + 1] \hookrightarrow \boxed{21x + 3}[/tex]

I am joyous to assist you at any time.

The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it?
$4.87
$7.74
$9.74
$19.48

Answers

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

   y = 2 x + 9.74

→ Compare it with the form of the linear equation above

m = 2

b = 9.74

x represents the number of years that Consuelo has owned the coin

y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

   Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

The value of the coin when Consuelo originally purchased it is $9.74

Answer:

c

Step-by-step explanation:

Mrs. Williams is deciding between two field trips for her class. The Science Center
charges $114 plus $3 per student. The Dino Discovery Museum simply charges $6
per student. For how many students will the Science Center charge less than the
Dino Discovery Museum?
For more than
students.

HELP!!!!

Answers

Science Center: 114 + (3 * x)

Dino Museum: 6 * x

114+(3*x) = 6*x

114+(3*39) = 6*39

114+117 = 234

231 = 234

There needs to be at least 39 students for the science center to cost less than the dino discovery museum. Hope this helps! Please mark brainliest:)

ΔABC and ΔDEF appear to be similar. Which set of measurements prove that the two triangles are similar?

Answers

Answer:

  C.

Step-by-step explanation:

Similar triangles have congruent corresponding angles, and proportional corresponding sides.

The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)

__

The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)

The remaining choices have side ratios of ...

  B. DE : DF = 16 : 21 ≠ 3 : 4

  C. DE : DF = 12 : 16 = 3 : 4

The set of measurements that would make ΔABC ~ ΔDEF is ...

  DE = 12, DF = 16, and ∠D = 35°

1. Estelle went to the store and bought a box of crackers for $3.79 and a package of cheese for $4.59. About how much will this cost her?

Answers

Answer: It will cost Estelle roughly $8.86

Step-by-step explanation:

The other answer is wrong. It will cost Estelle $8.38.

$3.79+$4.59 = $8.38

The length of RT is 4x-4.Given that point S is between point R and T,
where the length of RS is 2x + 6 and the length of ST is 16, what is the
length of RS?

Answers

Answer:

RS = 32

Step-by-step explanation:

Set-up equation like this -- 2x+6+16=4x-4

Solve for x

Then plug x in for the length of RS. You should get 32 for RS.

Decide whether the function is linear, exponential,or neither

Answers

Answer:

C is nonlinear. D is linear

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A rectangle has an area of 24x + 6. What are all the possible side lengths of the rectangle.

Answers

2 and 12x +3, trust me

The required possible side lengths of the rectangle are B. 2 and 12x+3  and C. 3 and 8x + 2.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
The area of a rectangle is given by the formula A = l x w, where l is the length and w is the width of the rectangle.

We know that the area of the rectangle is 24x + 6, so we can set up the equation:

24x + 6 = l x w

We want to find all possible combinations of length and width that satisfy this equation.

One way to approach this is to factor the expression 24x + 6 and look for pairs of factors that multiply to give the same product.

24x + 6 = 6(4x + 1)

Now we can see that one possible set of dimensions is:

l = 6(4x + 1)

w = 1

This gives us an area of:

A = l x w = 6(4x + 1) x 1 = 24x + 6

Another possible set of dimensions is:

l = 2(12x + 3)

w = 3

This gives us an area of:

A = l x w = 2(12x + 3) x 3 = 24x + 6

So the possible side lengths of the rectangle are:

l = 6(4x + 1), w = 1

l = 2(12x + 3), w = 3

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On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).
What is the rule for the reflection?

A. rx-axis(x, y) → (–x, y)

B. ry-axis(x, y) → (–x, y)

C. rx-axis(x, y) → (x, –y)

D. ry-axis(x, y) → (x, –y)

Answers

Answer:

B. Ry-axis(x, y) → (–x, y)

Step-by-step explanation:

As per the graph we see that:

Reflection over y-axis, y- coordinates remain as is, x- coordinates change to opposite

So the rule is:

Ry-axis (x, y) → ( - x, y)

Correct option is B

Answer:

B. ry-axis(x, y) → (–x, y)

Step-by-step explanation:

Took the quiz, hope this helps! :)

How much sleep does a jaguar get in 1 year? The amount of sleep is ________ hours.

Chart jaguar 77 {usual hours per week}

Answers

Answer:

Jaguars sleep to about 15-18 hours a day so multiply that by how many days are in a year.

What is the solution to this inequality?

x/9 + 7 ≥ 10

Answers

Answer:

x ≥ 27

Step-by-step explanation:

x/9 + 7 ≥ 10

Subtract 7 from each side

x/9 + 7-7 ≥ 10-7

x/9  ≥ 3

Multiply each side by 9

x/9 *9 ≥ 3*9

x ≥ 27

Answer:

X>27

Step-by-step explanation:

Your Welcome

5 points
Your distance from lightning varies directly with the time it takes you to
hear thunder. If you hear thunder 10 seconds after you see the lightning,
you are about 2 miles from the lightning. Estimate how many seconds it
would take for the thunder to travel a distance of 4 miles? *

Answers

Answer:

d = 1/5t

Step-by-step explanation:

Since it is a direct variation , Let d represent the distance and t represent the time ,then

d ∝ t

introducing the proportionality constant, we have

d = kt

Substituting t = 10 and d = 2 , we have

2 = 10k

k = 1/5

substitute k = 1/5 into the original equation , we have

d = 1/5t

Step-by-step explanation:

Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?

Answers

Step-by-step explanation:

I don't see answer options, but I can very well guess what went wrong :

he used the area formula to calculate the perimeter.

the area would be length × width, in our case

6 × 5 = 30 units²

but the perimeter is 2×length + 2×width, in our case

2×6 + 2×5 = 12 + 10 = 22 units

Hello!

P= 6+5+6+5 =22u

or

2(6+5) =  2*11 => 22u

6*5 = 30 is area

1) Find the minimum and maximum values for the function with the given domain interval. Round your answers to the nearest thousandth. m(x) = ln x, given 1/10 ≤ x ≤ 1/5

Answers

The function m(x) = ln x is a natural logarithm function

The minimum value is -2.30 and the maximum value is - 1.61

How to determine the minimum and maximum values?

The function is given as:

m(x) = ln x

The domain is given as:

1/10 ≤ x ≤ 1/5

At x = 1/10, we have:

m(1/10) = ln (1/10)

m(1/10) = -2.30

At x = 1/5, we have:

m(1/5) = ln (1/5)

m(1/5) = -1.61

So, we have: -2.30 ≤ m(x) ≤ -1.61

Hence, the minimum value is -2.30 and the maximum value is - 1.61

Read more about functions at:

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Answer:

The minimum value is -2.303 and the maximum value is -1.609.

Step-by-step explanation:

In order to find the value of sin K in △JKL, which of the following ratios needs to be used?


A
JLJK

B
KLJL

C
JKKL

Answers

Answer:

Im pretty sure its B

Step-by-step explanation:

The ratio to be used to find sink is A. JL : JK

What is sine of an angle?

The sine of an angle is the ratio of perpendicular to its hypotenuse.

Mathematically,

Sine of an angle = Perpendicluar/Hypotenuse

Now, it is given that a △JKL.

To find sine K we need to find the hypotenuse and Perpendicular of the triangle.

Since, Sine of an angle = Perpendicluar/Hypotenuse

So, sin K = Perpendicluar/Hypotenuse

Since K is the angle given so opposite of the angle K must be the perpendicular.

So, Perpendicular of the △JKL = JL

So, Hypotenuse of △JKL = JK or KL.

Since from the given option, it can be concluded that JK is the hypotenuse of △JKL.

Therefore, sin K = JL/JK

Thus, the ratio to be used to find sink is A. JL : JK

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24% of 200 is what percent of 500

Answers

Answer:

9.6%

Step-by-step explanation:

Solve the equation using elimination
2x - 3y = 9
5x + 3y = 12

Answers

Answer:

Step-by-step explanation:

someone pls help me on my math

Answers

Answer:

SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)

Step-by-step explanation:

SA = 2lw + 2lh + 2wh

We know the length is 5 and the height is 8 and the width is 4

SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)


6. Știind că a·b+a:C= 100 și b+c= 20, atunci a este
egal cu:
a) 4
b) 200
C) 5
d) 80

Answers

B 200 .................

of 0.1 - ? 0.1 as a fraction

Answers

Answer:

0.1 as a fraction is 1/10

Step-by-step explanation:

Answer:

the answer is 1/10•••••••••

Which of the relations below is not a function?
Pleasure that’s for today
Thanks <3...

Answers

Answer:

C

Step-by-step explanation:

In the relation stated in C the x values repeat. This shows that each x value doesn't have its own y value. By the definition of functions, this means that C cannot be a function

Write each equation in slope-intercept form.
19. y - 4 = 3(x - 2)
20. y + 2 = -(x + 4)
21. y - 6 = -2(x + 2)
22. y + 1 = -5(x - 3)
23. y - 3 = 6(x - 1)
24. y - 8 = 3(x + 5)
Help me plz

Answers

Answer:

The picture is the answer. Hope it's all correct. Good luck

I’m stuck on a math problem. It’s asking..

You plan to purchase a house for $425,000 and you will make a 30% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.77% and a 15 year fixed mortgage at 2.15%. Your goal is to have a monthly payment that fits within your budget.

A. Which mortgage will give you the lowest monthly payment . What will that payment be. How much less will this be than the other monthly mortgage payment.

B. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest. What will that interest be? How much less will this be than the interest on on the other mortgage?

Answers

Answer:

  A. 30 years at 2.77%; $1217.67; $717.38 lower

  B. 30 years at 2.77%; $140861.72; $90,051.68 difference

Step-by-step explanation:

A suitable spreadsheet, calculator, or financial app can help you answer these questions. In the attachments, we show the result of using a TI-84 work-alike calculator's financial app.d

A.

The lowest monthly payment generally results from the longest-term mortgage, even when the interest rate is slightly higher. Here, the lowest payment is $1217.67 on the 30-year loan. It is $717.38 lower than the payment on the 15-year loan.

__

B.

The longer-term loan will generally require payment of more interest. Here, that is made worse by the higher rate on the longer loan. The interest is the sum of payments less the initial principal. The highest amount of interest is $140,861.72 on the 30-year loan. That is $90,051.68 more than for the 15-year loan. (The wording of the question seems to be confused.) The least interest amount is $50,810.04 on the 15-year loan.

Need help !!! Which figures demonstrate a reflection ? Select each correct answer.

Answers

Answer:

4th one

Step-by-step explanation:

They are both L's on either side.

Answer:

Ánswer 4th one ..I think

What’s the answer?
-6 x (-8)=____

Answers

Answer:

48 because when dividing, the negatives cancel out making it a positive. and the parentheses don't really matter.

Answer:

Multiply 8 by 6. It's 48.

The negatives cancel out when multiplying and dividing. However, it's different when adding or subtracting.

[tex]8*6=48[/tex]

Hope this helps!If it does, give thanks!

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