The probability that Sam wins in a game is 21/50.


Find the probability that Sam does not win.

The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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The cost of one knife will be 5.23 which is calculated by using the given information about knives and spoons.

From the given information in the question we can form two equations:

We will consider the variables representing the cost of spoons and knives as k and f respectively.

now we will build the equations to find out the relation between knives and spoons from the given information.

k = s + 3

As the cost of knives is three times more than spoons we add 3 to the cost of spoons

the other information given is about the sum of 9 spoons and 12 knives

which we will write as:

9s + 12k = 82.80

By substituting the first equation in the second equation we will get an equation containing only one variable which is easier to solve

9s + 12(s + 3) = 82.80

9s + 12s + 36 = 82.80

21s = 82.80 - 36

21s = 46.8

s = 46.8 / 21

s = 2.23

now by substituting the value of s in the first equation

k = s + 3

k= 2.23 + 3

k = 5.23

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The value of n is 15.The width of the right angled triangle is n + 3 cm while its height is 5 cm less than its width. We have to find the value of n.

Given that,Area of the right angled triangle = 120 cm²Width of the triangle = n + 3 cm Height of the triangle = width - 5 cm Area of the right angled triangle = (1/2) × base × height. Here, the base of the triangle is the width of the triangle, and the height of the triangle is the height of the triangle.So,120 cm² = \((1/2) × (n + 3) × (n + 3 - 5)120 cm² = (1/2) × (n + 3) × (n - 2)\)

Multiplying both sides by 2,240 cm² = (n + 3) × (n - 2)

Expanding the right hand side of the equation,n² + n - 6 = 240n² + n - 246 = 0

Solving for n by using quadratic formula,we get,n = ( -1 + √(1 + 4 × 246 × 1))/2 × 1   or n = ( -1 - √(1 + 4 × 246 × 1))/2 × 1n = 15 or n = - 16Discarding the negative value of n, the value of n is 15 cm.

The width of the right angled triangle is n + 3 cm while its height is 5 cm less than its width. We have to find the value of n.Given that,Area of the right angled triangle = 120 cm²Width of the triangle = n + 3 cmHeight of the triangle = width - 5 cmArea of the right angled triangle = (1/2) × base × heightHere, the base of the triangle is the width of the triangle, and the height of the triangle is the height of the triangle.So,120 cm² = (1/2) × (n + 3) × (n + 3 - 5)120 cm² = (1/2) × (n + 3) × (n - 2)Multiplying both sides by 2,240 cm² = (n + 3) × (n - 2)Expanding the right hand side of the equation,n² + n - 6 = 240n² + n - 246 = 0Solving for n by using quadratic formula,we get,n = ( -1 + √(1 + 4 × 246 × 1))/2 × 1   or n = ( -1 - √(1 + 4 × 246 × 1))/2 × 1n = 15 or n = - 16Discarding the negative value of n, the value of n is 15 cm. Therefore, the value of n is 15.

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Answer:

The linear equation is y = -5/8x+15 - Part A

15in - Part B

x = 24 - Part C

Step-by-step explanation:

Part A:

x = number of hours since she filled it

y = amount of ketchup remaining in the bottle

and knowing that we get the points (5, 11\(\frac{7}{8}\)) and (8, 10)

Now get the slope of these points.

1. Slope formula

m = y2-y1/x2-x1

2. plug it in and you should get:

m = -5/8

3. Then substitute m = -5/8 and (x1, y1) into the point slope formula then solve for y to write the equation in slope intercept form

4. Point Slope Form = y-y1 = m(x-x1)

y-10 = -5/8(x-8) - substitute

y-10 = -5/8x+5 - distribute

y =  -5/8x+15 -  add 10 on both sides

The linear equation is y = -5/8x+15

Part B:

x represents the hours since she filled it, x = 0 is when she filled the dispenser

= 15in

Part C:

y =  -5/8x+15

0 =  -5/8x+15

5/8x = 15

x = 24

Answer:

4 units

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 14 and h = 7 , then

\(\frac{1}{2}\) × 7b = 14 ( multiply both sides by 2 to clear the fraction )

7b = 28 ( divide both sides by 7 )

b = 4 units

Answer:

If both parties are over the age of 18, a lawsuit is likely to occur.

Step-by-step explanation:

Ben would likely try and sue Catalina for theft, however she wouldn't be found guilty because of the transfer of property, goods, and or services was entirely legal in this case.

Answer:

I think you are looking for what M and D are worth. I will give you the answer.

6m = -18

So 6 multiplied by M, = -18

6 x -3 = -18. M = -3

-32 = 16d

16 x D = -32

16 x -2 = -32. D = -2

Hope this helps

Answer:

1. d = -2

2. m= -3

Step-by-step explanation:

1. In pic

2. in pic

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

y= -2x-2

Step-by-step explanation:

Answer:

yes it's ok and I'm sorry I didn't get it

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

The probabilities of the states of nature after revising the prior probabilities based on sample information are called posterior probabilities.

The concept of posterior probabilities is fundamental in Bayesian statistics, which is a branch of statistics that deals with probability distributions of parameters based on prior knowledge and observed data. In Bayesian statistics, the prior probability represents the degree of belief in a hypothesis before new data is collected. The posterior probability, on the other hand, represents the updated degree of belief in the hypothesis after new data is collected.

The posterior probability is calculated using Bayes' theorem, which relates the conditional probabilities of the hypothesis and the data. The formula for Bayes' theorem is:

posterior probability = (prior probability x likelihood) / evid

The likelihood represents the probability of observing the data given the hypothesis, while the evidence is a normalizing constant that ensures the posterior probability integrates to one.

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Circumference= diameter × 3.14

C= 34 feet× 3.14= 106.76 feet

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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Answer:

The answer would be A.

Step-by-step explanation:

There are two possible outcomes of flipping a head on a coin. So it will be 1/2. So when you flip two coins to get head it will be  1/2*1/2=1/4.

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

sorry but i need some points right now so just ignore this

Step-by-step explanation:

Answer:

uhhh whats this for?

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

We know it increase 27% since it was last measured

100% + 27% = 127%

We have to find 1%

We take 63500 divided by 127 = 500

500 times 27 = 13500

Now we have to take 63500 and subtract by 13500 to find the previous population.

63500 - 13500 = 50000

So, the previous population is 50000

The most appropriate choice for Quadratic  equation will be given by -

Third option is correct

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

Here,

\(x^2 +2x=24\\x^2+2x-24=0\\x^2+6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\\)

\(x+ 6 = 0\) or \(x - 4 = 0\)

x = -6 or x = 4

Third option is correct

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Given that the length of one of the sides of the triangle is the radius, the length of the other leg of the triangle is also 6 units.

Therefore, this is an instance of a 45-45-90 triangle. The value of x can now be solve by

Given that the side length of the 45-45-90 triangle is 6 units, the length of the hypotenuse x is

Answer:

Less

Step-by-step explanation:

4 meters is 4000 mm. Since 4000>3821, you know that 3821 is less than 4 meters.

I think the answer is D

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

Step-by-step explanation:

The number of blue cars is 375.

What is a ratio?

Ratio is a relationship between two values, represented by numbers or percentage Which expresses which of the two value are bigger. And to find that we cancel the common factor between them.

We are given that the ratio of blue cars to red cars is 3:5

Also there are 600 cars in the parking lot

Now, Let the common factor between them be 'x'

Hence the number of red cars is 3x and number of blue cars is 5x

Hence the equation can be given as

3x+5x = 600

8x = 600

Dividing both sides by 8 we get

x= 75

Hence the number of blue cars is 5(75)= 375

The number of blue cars is 375

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Answer:

It will cost $65.

Step-by-step explanation:

A dozen is 12. To find how much it will cost, we can divide the bouquet by 12.

39 ÷ 12 = 3 r3

with the remainder, we can

12 ÷ 3 = 4

3 is 1/4 of 12.

So we can multiply the price of bouquet by 1/2 to find the remainder's price. The whole equation would look like this:

(3x20) + (1/4 x 12)

60 + (1/4 x 20)

60 + 5

65

The answer is 65.

Answer:

48

Step-by-step explanation:

Answer: The 80ml is the best deal

Step-by-step explanation:

Bc the half price of 45 is 22.5 so 45 + 22.5 equals $67.50 and the 80ml would equal 55.

Therefore the 80ml one is cheaper than the 50ml

Answer:

Step-by-step explanation:

80 ml bottle for 55 : 55/80= 11/6=0.6875

50 ml bottle the price ( buy one get half price off the second one) :

45+(45*50%)=67.5 for two bottles

price per ml for 50ml bottle: 67.5/100=0.675

comparing prices : 0.675 is less than 0.6875

it is better to buy 50 ml bottle

not a big difference

Answer: 4

Step-by-step explanation:

For the first fish population, we can model it with the equation y = 30x + 1250, where y represents the fish population and x represents the number of seasons plot the equations y = 30x + 1250 and y = 70x + 1100

To find the number of seasons it will take for the population to reach 1690 fish, we can set y equal to 1690 and solve for x:

30x + 1250 = 1690

30x = 440

x = 14.67

Since we can't have a fraction of season, we can round up to the nearest whole number. Therefore, it will take approximately 15 seasons for the population to reach 1690 fish.For the second fish population, we can model it with the equation y = 70x + 1100. To find the number of seasons when both populations have the same population, we can set the equations equal to each other:

30x + 1250 = 70x + 1100

40x = 150

x = 3.75

Again, rounding up to the nearest whole number, it will take approximately 4 seasons for both populations to have the same population. However, you can plot the equations y = 30x + 1250 and y = 70x + 1100 on a coordinate plane to visualize their graphs.

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