In a shipment of 53 vials, only 13 do not have hairline cracks. if you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?

Answers

Answer 1

Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.

What is meant by probability?

The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.

The probability that there won't be any hairline cracks = 13/53

If you choose two vials at random from the delivery

Probability (avoiding hairline cracks) = 13 - 1/53 - 1

Probability (avoiding hairline cracks) = 12/52

To find the chance that neither of the two vials has a hairline crack is

(13/53) × (12/52) = 0.2452 × 0.2307

= 0.0565

The probability that none of the 2 vials have hairline cracks is 0.0565

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Related Questions

Solve the right triangle.​

Answers

Answer:

Step-by-step explanation:

awnser is a

Find the missing angle

Answers

Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!


A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° , what is the new wind direction?

Answers

A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.

A direction of 270 degrees would indicate a wind blowing in from the west.

How can a weathervane be used to detect wind?

An arrow and a tail make up the weathervane. The arrow points in the direction of where the wind is coming from, and the tail fin catches the wind. A north wind is present if the arrow on the weathervane is pointing toward the north.

What does a weathervane with a wind vane display?

A device used to indicate the direction of the wind is a wind vane, weather vane, or weathercock. It is frequently utilized as an architectural adornment at a building's highest point. The Old English word fana, which means "flag," is where the word vane originates.

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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Hannah needs to slice the equation for x
7x-11=3
Which would be the first step Hannah could make to slove the equation
View photo!

Answers

Answer:

d. add 11 to both sides of the equation

Step-by-step explanation:

7x - 11 = 3

Identify all values of x that make the equation true

Answers

Answer:

[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]


a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁=2, r=-2

Answers

The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32

The given parameters:

a₁ = 2, r = -2

r is the common ratio, hence, the given sequence is a geometric sequence.

In a geometric sequence, the formula for the nth term is given by:

       a(n) = a(1) . rⁿ⁻¹

We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,

       a(n) = a(n -1) . r

Let us start from n = 1

a(1) = 2  (given)

a(2) = a(1) . r = 2 . (-2) = -4

a(3) = a(2) . r = -4 . (-2) = 8

a(4) = a(3) . r = 8 . (-2) = -16

a(5) = a(4) . r = -16 . (-2) = 32

Thus, the first five terms are 2, -4, 8, -16, 32

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There are about

3 * 10^11

stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.

Answers

The number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

What is scientific notation?

Scientific Notation is the expression of a number in the form a x [tex]10^{b}[/tex]. where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.

We have,

Number of stars in  our galaxy = 3 x [tex]10^{11}[/tex]

Number of galaxies in the observable universe = 100 billion.

1 billion = 1,000,000,000 = [tex]10^{9}[/tex]

Number of stars in 100 billion galaxies:

= 3 x [tex]10^{11}[/tex] x 100 x  [tex]10^{9}[/tex]

= 3 x [tex]10^{11 + 2 + 9}[/tex]

= 3 x [tex]10^{22}[/tex]

Thus the number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

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Which is not a pair of congruent angels in the diagram below

Answers

The angles D and F are not congruent angles.

According to the statement

We have to find that the not a pair of congruent angles.

So, For this purpose, we know that the

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles

From the given information:

In this diagram we have to given the four angles which are E,F,G,D.

And out of these angles

The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.

So, The angles D and F are not congruent angles.

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I need to find the angle measure and am not sure how to

Answers

Answer:

angle TEA = 58 (which is 29 times 2) degrees

angle TEF = 37 (which is 74 divided by two 2) degrees

Step-by-step explanation:

The angle bisector divides a given angle into two equal parts



You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?

Answers

i think it would be 5.25 because if you multiply the 70$ times the 3% which is 0.03 you get 2.1 and then you multiply the 2.1x2.5

When you adjust one number and change another number in the problem to make a computation easier you use ?

Answers

To make a computation easier, you adjust one number and alter another number in the problem is called compensation.

What is termed as the compensation strategy?

Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.

Some students might choose this strategy over left-to-right addition or even the strategy of splitting up the second number.Compensation is an effective method for making calculations easier to solve. More likely, it encourages learners to think about numbers in a variety of ways.

Some examples of compensation are-

For example; 29 + 96We can alter the value of 29 to 30 by adding 1; as it is simpler to sum 30.Then,  30 + 96 = 126Now, the added value is then subtracted from obtained addition.126 - 1 = 125Hence, 29 + 96 = 125

Thus, this method is used in solving with simpler form.

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6−3+4x+1= no solution one
solution

Answers

Answer:

The answer is 4x+(any number other than 4)

Step-by-step explanation:

If there are no solutions, then the equation will be equal to 4x + (any number other than 4).

Examples: 4x + 1, 4x + 2, 4x + 3

Which expressions are equivalent to 7^-2 x 7^6

Answers

Step-by-step explanation:

first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6

F(x)=|x|+5; horizontal shrink of factor 3

Answers

the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

How to apply a horizontal shrink to a function?

For any function f(x), we define a horizontal shrink or compression by a scale factor K as:

g(x) = f(K*x)

In this case the function is:

f(x) = |x| + 5

And the scale factor is K = 3.

Then we can write the compression as:

g(x) = f(3*x)

Replacing the actual function we will get:

g(x) = f(3*x) = |3*x| + 5

Then the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

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What is the average speed of an
automobile trip of 275 miles that
began at 7:30 in the morning and
ended at 12:30 in the afternoon

Answers

Answer:

0.916...miles per hour

Step-by-step explanation:

speed = distance/ time

12:30 - 7:30 = 5hours

275/ 5x60

275/300

=0.9166666667 miles per hour

( you can round this depending on whether it's to the nearest mile or 3 sf or something)

hope this works :)

b. Write ³√81 in the form 3^n

Answers

[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]

Use the table to determine whether the relationship is proportional.
If so, write an equation for the relationship. represents.

Answers

The equation of the proportional relationship in the table attached below is: y = 40x.

How to Determine the Equation of a Proportional Relationship?

Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.

Distance in miles = y

Time in hours = x

k = y/x = 80/2 = 120/3 = 160/4 = 40.

The relation represented by the table is proportional because y/x is the same for all pairs of values.

Substitute k = 40 into y = kx

y = 40x.

Thus, the equation of the proportional relationship in the table attached below is: y = 40x.

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answer i cant figure this out

Answers

Answer:

I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time

Phillip has an 78% average on 4 tests. What does he need on his next test to raise his average to 82%?

Answers

Answer:

Below in bold.

Step-by-step explanation:

His total marks for the 4 tests

= 4*78

= 312,

For an average of 82% over 5 tests the total will have to be

82*5 = 410.

So, he needs to score 410 - 312

= 98% in his last test.


Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on blue)

Answers

The probability that the point of the spinner land on blue is 8.34%.

What is a pie chart?

A pie chart is a type of chart that shows data in a circular graph.

We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:

We use the following formula to calculate a percentage of the data set: (Frequency ÷ Total Frequency) × 100We use the following formula to convert the data to degrees:   (Given Data ÷ Total value of Data) × 360°

On complete rotation of circle forms 360 degrees at the centre.

The total percentage of the all the colours is 100%.

Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.

The total percentage of blue shown by the pointer of spinner is 30%.

Probability P (pointer landing on blue) = 30/3.6

Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)

Therefore, the probability that the pointer lands on the blue is 8.4.

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What are the numbers 1.9, 5/4,-1.2 , and √3 in order from greatest to least?

Answers

1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.

1.9  > √3 = 1.732 > 5/4 = 1.25 > -1.2

How to solve an equation?

To solve linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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solve 3(2x-5)=9(10-x)

Answers

3(2x - 5) = 9(10 - x)
distribute
6x - 15 = 90 - 9x
+ 15 + 15
6x = 105 - 9x
+ 9x + 9x
15x = 105
—— ——
15 15
x = 7

Answer:

x=7

Step-by-step explanation:


Write an equation of the line in point-slope form through each pair of points. (0,0) and (-4,7)

Answers

The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.

What is point-slope form?

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)

The point-slope form is given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (7- 0)/(-4 - 0) = -7/4

The value of m = -7/4.

y = -1.75x

Therefore, the point-slope form is y = - 1.75x

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If the midpoint of two points is 2,5 and one of the endpoints is 6,3, what is the y-coordinate of the other endpoint

Answers

Step-by-step explanation:

Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).

So, by using midpoint formula we have,

[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]

so the y - coordinate of the other end is y = 7

Which of the following expressions are equivalent to (z+0)+y+0?
Choose all answers that apply:
A
z+y
® 1+0+ (y+0)
B
None of the above

Answers

The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.

An algebraic expression is a simple and random combination of  constants and variables .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.

Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.

I.e, g+0=0 here the value of g does not change.

Given (z+0)+y+0

We know from the identity property of addition:

z+0=z and y+0=y

Therefore the value of the expression is (z+y) .

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the bearing of p from q is 270degree what is the bearing of q from p?​

Answers

Answer:      302 degrees

Step-by-step explanation:

Find the Missing Angle *

Answers

Answer:

53degree

82+45=127

We know

There is 180 degree in the angle

For the missing value

180-127= 53

Answer:

Answer is in the attached screenshot! :)

Step-by-step explanation:

Please let me know if you have any questions! :)

Brainliest, please explain how you got your answer, thank you

Multiply. What is the value of the first partial product?
26 × 107

Answers

Answer: 2782

Explanation: multipurpose

Service
Restaurant
Florist
Cab Fare
Dog
Groomer
Cost Gratuity Tax
$40
18%
$94
$32
12%
20%
8.5%
12%
0%
$62 26% 5.75%
Approximate the amount of tip for the florist by
rounding the cost and the percent gratuity to the
nearest ten.
$

Answers

Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9

What is the tip?

When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.

When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.

The approximate tip is:

= 10% x 90

= $9

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43. What is the momentum of a baseball with a mass of 1.5 kg being thrown at a velocity of 90 m/s towards the hitter? (2
pts)

Answers

Answer:

points

Step-by-step explanation:

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