In a shipment of 62 vials, only 14 do not have hairline cracks. if you randomly select 3 vials from the shipment, what is the probability that all 3 of the selected vials have hairline cracks?

Answers

Answer 1

The probability that all three of the selected vials have hairline cracks = 0.096

Total number of vials in the shipment = 62

Number of vials with hairline cracks = 14

Number of vials without hairline cracks = 48

Three from 62 vials are selected.

So total outcomes = 62C3

Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes

Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096

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Related Questions

the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?

Answers

90 different two-scoop ice cream cones we can make.

What do we mean by permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without substitute, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.

To find how many different two-scoop ice cream cones can you make:

We're picking two flavors out of ten, so we'll use [tex]\left(\begin{array}{c}10 \\2\end{array}\right)=45[/tex] different two-scoop cones.This time, there are more cones that were previously excluded, and we use permutation:[tex]\frac{10 !}{8 !}=90[/tex]

Therefore, 90 different two-scoop ice cream cones we can make.

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someone help me!!!
please...

Answers

Answer:students are the independent because he will get a number of cards depending on how many students there are so its

s independent and c dependent

Step-by-step explanation:

Answer:

s = independent

c = dependent

The number of cards depends on the number of students in his class.

Hope this helps :)

Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.

Answers

Answer:

9/7

Step-by-step explanation:

9 red for every 7 blue can't be reduced

Sergio and three friends went golfing two other friends rented clubs for six dollars each the total cost of the rented clubs in the green fees was $76 what was the cause of the green fees for each person

Answers

The cost of Green fees for each person is $16.

As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees  being $76.

We are required to calculate the cost of Green fees for each person.

Let us assume that the cost of Green fees for each person is "x".

We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.

[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]

That is, the cost of Green fees for each person is $16.

Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line, as the name "Linear" itself suggests. Here, each term is of exponent 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept.

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please help me!! i have no clue

Answers

Answer:

Step-by-step explanation:

in a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. how many like both coffee and tea?

Answers

Answer:

9

Step-by-step explanation:

An angle measures 26° more than the measure of its complementary angle. What is the
measure of each angle?
and

Answers

Answer:

An angle measures 26° more than the measure of its complementary angle.

Step-by-step explanation:

What is 17.1936 to the hundredths place?

Answers

Answer:

9

Step-by-step explanation:

The number 9 is in the hundredths place!

From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!

47=3-6y I can't do it some one helpppppp

Answers

Answer: 7.333

Step-by-step explanation:

first move the three over 47-3 = 6y

the divide by - 6 to get y by itself 44/-6 = y

Answer:
y=-7 1/3 or 22/3
Step-by-step explanation:
47=3-6y
1. Make the equation an addition equation.
47-3+(-6y)
2. Subtract 3 from both sides of the equation.
44=(-6y)
3. Divide each side by -6.
-22/3=y
4. (Optional) Turn the improper fraction into a mixed number.
-7 1/3=y
5. (Optional) Flip the equation around for a more concise and understandable answer.
y= -7 1/3

Evaluate the expression when b = -2 and x = 4.
b-3x

Answers

Answer:

- 14

Step-by-step explanation:

You can substitute the given values into the expression.

b - 3x

= -2 - 3(4)

= -2 - 12

= - 14

Hope this helped! ^^

Answer:

give the other person the brainliest the answer is -14

Step-by-step explanation:

If a population has 500 individuals in it in 2010, and the per capita birth rate is 0.3 and the per capita death rate is 0.2, is the population growing or shrinking?

Answers

The population is growing as the births are more than deaths in an year.

What is Population Growth?

Increases in a population's or a dispersed group's membership are referred to as population growth.

Given:

Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2

To find: Is population growing or shrinking?

Finding:

Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50

Hence the population is growing as the births are more than deaths in an year.

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Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?

Answers

Answer: The name of the algebraic expression is polynomial.

Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .

A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.

similarly;

algebraic expression which is having only one term is known as a monomial. example: 5x,10y.

an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

example: 8x³y - 11x²y² + xy³ +17.

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Answer:

Step-by-step explanation:  algebric expression of degree4.

I need help! Ignore the stuff on top and bottom

Answers

Answer:

Starting from the left, the points are plotted as:

-4.5, -√16,-4, √1, 80/25, 7/2.

The most common triathlon distance for bicycle route is 40 kilometers.

There are approximately 1.6 km in 1 mile. How many miles is the bicycle route of 40?

Answers

The cycle route  for the triathlon is of 26 miles

A triathlon is an athletic event which involves races which involves of swimming, cycling, and running over various distances

According to the given data,

The most common triathlon distance for Bicycle route is 40 kilometers

1 mile = 1 .6 kilometer

Now we know that 1.6 kilometer is 1 mile

So we are required to convert kilometers of triathlon race into  miles

Therefore, 40 kilometers in mile will be= 40/1.6 = 25 miles

Hence the cycle route is of 26 miles .

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The marching band is holding a fundraiser. The band is selling t-shirts for $20 and yearbooks for $24. The goal is to sell at least $2,400 in merchandise. Which of the following is a solution to this scenario?

50 t-shirts and 59 yearbooks
51 t-shirts and 57 yearbooks
60 t-shirts and 48 yearbooks
62 t-shirts and 48 yearbooks
The answer to this question is 50 t-shirts and 59 yearbooks

Answers

We get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.

Selling price of t shirts = $ 20

Selling price of year books = $ 24.

Let the number of t shirts sold be x and the number of yearbooks sold be y.

Goal to sell at least = $ 2400 in merchandise.

So, we get the equation as:

20 x + 24 y ≥ 2400

5 x + 6 y ≥ 600

Now, we are given some options:

50 t-shirts and 59 yearbooks

Substituting it, we get that:

5 ( 50) + 6 ( 59) ≥ 600

250 + 354 ≥ 600

604 ≥ 600

which is true.

51 t-shirts and 57 yearbooks

Substituting it, we get that:

5 ( 51) + 6 ( 57) ≥ 600

255 + 342 ≥ 600

597 ≥ 600

which is not true

60 t-shirts and 48 yearbooks

Substituting it, we get that:

5 ( 60) + 6 ( 48) ≥ 600

300 + 288 ≥ 600

588 ≥ 600

which is not true

62 t-shirts and 48 yearbooks

Substituting it, we get that:

5 ( 62) + 6 ( 48) ≥ 600

310 + 288 ≥ 600

598 ≥ 600

which is not true.

Therefore, we get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.

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Answer:

50 tshirts and 59 yearbooks is the correct answer.

Step-by-step explanation:

Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains. today, he ate 220grams of carbohydrates, and 55 grams were from whole grains.

Answers

Osvoldo did not meet his goal of getting at least 30% carbohydrates

Although a part of your question is missing, you might refer to this full question: Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Osvoldo meet his goal?

Total carbohydrates he ate = 220 grams

Carbohydrates intake from whole grains = 55 grams

Percentage of carbohydrates in whole grains = (Carbohydrates from whole grain/Total carbohydrate intake)*100

=(55/220)*100

=0.25*100

=25%

Osvoldo got 25% carbohydrates as against his goal of at least 30% carbohydrates

Hence, he did not meet his goal of getting at least 30% carbohydrates

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*PLS HELP*
Chris buys p pairs of pants and 4 more shirts than pairs of pants. Shirts cost $13 each and pairs of pants
cost $27 each. What does each term in the expression 27p + 13(p+4) represent? What does the entire
expression represent?
The term 27p represents the (select)
The term 13(p+4) represents the (select)
The expression 27p +13(p+4) represents the (select)

Answers

Answer:

The term 27p represents the total cost in dollars of pants

The term 13(p+4) represents the total cost in dollars of shirts

The expression 27p+13(p+4) represents the overall cost in dollars of the shirts and pants Christ buys

Step-by-step explanation:

Disclaimer: if the owner can include the options, I can give a better answer.

We know each pair of pants is $27. Since each pair of pants costs $27, we can say the total cost in dollars of pants is equal to 27*P. For each pair of pants Chris buys, he buys 4 shirts. P+4 is the total number of shirts Chris will buy. The price of these shirts in dollars is $13. So we can assume the total cost in dollars of shirts will be 13(P+4). The total expression is the total amount in dollars Chris spends.

graph the inequlity
y > |x-7| + 1

Answers

Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

help help help help help help help help help help help help help help help help help help help help help help help help ​

Answers

Answer:

1.(x-3)(x-5)

2.(y+2)(y+9)

3.(x+4)(x-5)

4.(x+1)(x+7)

5.(n-7)(n+8)

Which probability value indicates that there is statistical significance? 0.0345 0.4595 0.9534 0.9967

Answers

The probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

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.

As we know,

Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in addition to preset levels of confidence when testing the claim.

The value 0.0345 < 0.05

The probability value of 0.0345 indicates that there is statistical significance

Thus, the probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

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please help
15 points
need by end of today

Answers

Answer:

19. B

20. G

Step-by-step explanation:

19. De pendant Variable is the variable that changes relative to some other variable. In other words its dependent on some other variable and its value changes with that other variable (the independent variable)

In this case the daily cost of the rental car is dependent on the miles driven.

20. The pair will be on the graph if it satisfies the given equation. In other words if i plug in a given x or y, i should get the same x or y.

In this case, for F, if i plug in x=1, the equation gives me y=12 which is not the value of the ordered pair. It is the value of G, thus G is on the graph

Which+statement+is+true+regarding+a+95%+confidence+interval?+there+is+a+2.5%+chance+that+the+alternate+hypothesis+will+not+be+rejected.+there+is+a+95%

Answers

The statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

What is a confidence interval for population standard deviation?

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

The question is incomplete.

The complete question is:

Which statement is true regarding a 95% confidence interval?

a) A 95% confidence interval indicates that 95% of the data will not be related to the population mean.

b) A 95% confidence interval indicates that the null hypothesis will not be rejected 5% of the time.

c) A 95% confidence interval indicates that 5% of the data will always be rejected.

d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values.

If a population means is within a certain range of values, it is 95% certain that it is within that range, according to a 95% confidence interval.

Thus, the statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

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Matt and Ryan are playing an exciting round of Rock Paper Scissors: The Collectible Card Game. Matt is convinced that Rock can beat anything, so his deck consists only of 8 Rock cards. Ryan's deck consists of 5 Paper cards and 3 Scissors cards. In the game, Matt randomly selects 3 cards from his deck and places them on the table. Ryan then randomly selects 3 cards and places one on each of Matt's cards. If Rock beats Scissors, Scissors beats Paper, and Paper beats Rock, then what's the probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row?

Answers

Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786[/tex]

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

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Louie's recipe requires four eggs for every eight cups of flour. How
many eggs will she need if she uses twelve cups of flour?

SHOWS ME EVERY STEP PLS NEED TO SHOW MY WORK FOR HW!

Answers

If she needs 8 cups of flower for 4 eggs, when you could change that to needing 4 cups of flower for 2 eggs, now we know every 4 cups of flower is 2 eggs, and we already know 8 cups of flower is 4 eggs, so if we add 2 more eggs and that means 4 more cups of flower, the final answer is: 12 cups of flour is 6 eggs. To make it easier to remember, just remember if you have even numbers you can split them into pieces and just add those pieces over and over until you get it. We started with 8 cups of flour is four eggs, and if you put it to its smallest part It would be 4 cups of flower for 2 eggs, then you just have to remember how to count your 4’s and 2’s and it’s as easy as that

The midpoint of AB is M (0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Answer: B(-2,-7)

Step-by-step explanation:

[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]

solve: 5-3|2x-5| ≤-1

Answers

Answer:

[tex] \sf \large \: x≥ \frac{7}{2} or x≤ \frac{3}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

5−3(|2x−5|)≤−1

−3(|2x−5|)+5≤−1

Step 1: Add -5 to both sides.

−3(|2x−5|)+5+−5≤−1+−5

−3(|2x−5|)≤−6

Step 2: Divide both sides by -3.

−3(|2x−5|)/−3 ≤ −6/−3

|2x−5|≥2

Step 3: Solve Absolute Value.

|2x−5|≥2

We know either2x−5≥2or2x−5≤−2

2x−5≥2(Possibility 1)

2x−5+5≥2+5(Add 5 to both sides)

2x≥7

2x/2 ≥ 7/2

(Divide both sides by 2)

x≥7/2

2x−5≤−2(Possibility 2)

2x−5+5≤−2+5(Add 5 to both sides)

2x≤3

2x/2 ≤ 3/2

(Divide both sides by 2)

x≤ 3/2

solving factors finding answers for a b c and d

Answers

Step-by-step explanation:

a is 5, b is 24, c is 2 and d is 2

Nitrogen dioxide gas and nitrogen trioxide gas combine to produce dinitrogen pentoxide gas.
Write a balanced chemical equation for this reaction.

Answers

A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

This is further explained below.

What is a chemical equation?

Generally, A chemical reaction occurs that takes place when two or more molecules contact with the appropriate orientation and sufficient force to generate a new product.

This process is referred to as a chemical reaction. During this procedure, atomic bonds are both broken and formed in the course of the operation.

Synthesis, decomposition, from another, and double displacement reactions are the four primary categories of chemical reactions. Synthesis is the process of creating new molecules from existing ones.

In conclusion, A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

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Rewrite in the distributive property, please?

-3(5x-10)

Answers

Answer: -15x+30

Step-by-step explanation:

-3(5x-10)=

-3*5x-10(-3)=

-15x-(-30)=-15x+30

Answer:

-15x-30

Step-by-step explanation:

Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30

What is the value of (2.4)3?

Answers

Answer: 7.2

Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.

Answer:

13.824

Step-by-step explanation:

Raise 2.4 to the power of 3.

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