Find a and y
................

Answer:

6x+11=263

5x+13=138

Step-by-step explanation:

Evaluate 6x+11:

6(42)+11

252+11

=263

Evaluate 5x+13:

5(25)+13

125+13

=138

Answer: It's the 3rd one. Secant line

a. The probability of a randomly chosen freshman studying more than 8 hours is approximately 0.44. b. The shape of he distribution is approximately normal.

As long as the sample size is sufficient (usually, n 30), the Central Limit Theorem, a fundamental idea in statistics, stipulates that the sampling distribution of the mean of any independent, random sample will be about normal, regardless of the shape of the population distribution. Because it enables us to draw conclusions about a population from a sample of data, this theorem is significant in statistics.

Given that, mean of 7.2 hours and a standard deviation of 5.3 hours.

a. To calculate the probability that a randomly chosen freshman studies more than 8 hours:

z = (x - mu) / sigma

Substitute the values we have:

z = (8 - 7.2) / 5.3 = 0.15 = 0.44.

b. For samples of 55 randomly chosen freshmen, the sampling distribution of the mean weekly study time x-bar has a roughly normal shape.

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The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

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The term used for discovery sampling is statistical random sampling.

What is statistical random sampling?

A simple random sample is a subset of individuals chosen at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.

Here,

We have to find another term for discovery sampling.

We concluded that another term that is used for discovery sampling is statistical random sampling.

Hence, the term used for discovery sampling is statistical random sampling.

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Answer:

136.80 $

Step-by-step explanation:

34.20 * 4 = 136.80

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

205......

Step-by-step explanation:

maybe i tried.

a) The probability that A occurs exactly 3 times in 6 rolls of the die is 160/729. b) The probability that A occurs at least twice in 6 rolls of the die is 347/729.

a) To find the probability that A occurs exactly 3 times in 6 rolls of the die, we need to use the binomial distribution. Let X be the random variable representing the number of times A occurs in 6 rolls of the die. Then X follows a binomial distribution with parameters n = 6 and p = 1/3, since the probability of success (getting a face less than 3) is 1/3.

The probability mass function of X is given by:

P(X = k) = (6 choose k) * \((1/3)^k * (2/3)^{(6-k)\)

where (6 choose k) is the binomial coefficient, which represents the number of ways to choose k successes from 6 rolls.

To find the probability that A occurs exactly 3 times in 6 rolls, we need to evaluate P(X = 3):

P(X = 3) = (6 choose 3) * \((1/3)^3 * (2/3)^3\) = 20 * (1/27) * (8/27) = 160/729

Therefore, the probability that A occurs exactly 3 times in 6 rolls of the die is 160/729.

b) To find the probability that A occurs at least twice in 6 rolls of the die, we need to calculate the probability of 2, 3, 4, 5, or 6 successes.

P(X >= 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

We have already calculated P(X = 3) in part (a). To find the other probabilities, we can use the binomial distribution formula as before, but instead of calculating the probability for a specific number of successes, we can use the cumulative distribution function:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

P(X = 0) = (6 choose 0) * \((1/3)^0 * (2/3)^6\) = 1 * 1 * (64/729) = 64/729

P(X = 1) = (6 choose 1) * \((1/3)^1 * (2/3)^5\) = 6 * (1/3) * (32/243) = 64/243

Substituting these values into the formula for P(X >= 2), we get:

P(X >= 2) = 1 - 64/729 - 64/243 - 160/729 - 80/243 - 32/81

= 347/729

Therefore, the probability that A occurs at least twice in 6 rolls of the die is 347/729.

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A) The total cost of downloading B will be £13.3.

B) The total cost of downloading B for 5 tracks is less than 5 p.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Harry downloads album A which has 11 tracks.

The total cost of downloading A is £10.45

Now,

Since, Harry also downloads album B which has 14 tracks.

So, The total cost of downloading B = £10.45 x 14 / 11

The total cost of downloading B = £146.3 / 11

The total cost of downloading B = £13.3

And, The total cost of downloading B for 5 tracks =  £10.45 x 5 / 11

The total cost of downloading B for 5 tracks =  £52.25 / 11

The total cost of downloading B for 5 tracks =  £4.75

Therefore, The total cost of downloading B for 5 tracks is less than 5 p.

Thus,

A) The total cost of downloading B will be £13.3.

B) The total cost of downloading B for 5 tracks is less than 5 p.

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Answer:

A) is your answer = 23/40

Step-by-step explanation:

The value of the expression is -23/40.

None of the given option is correct.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A fractional expression,

1/4-1/5+ -3/4+1/8,

Simplifying,

(1/4 - 3/4) + 1/8 - 1/5,

= (-20 + 5 -8) / 40

= -23/40

Therefore, the correct value is -23/40.

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If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5. Also, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7. Therefore, it is clear that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

A Pythagorean triple is a set of three integers that satisfy the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or hypotenuse. For example, the triple (3, 4, 5) is a Pythagorean triple because 3^2 + 4^2 = 5^2.

Now let's talk about triangular numbers. A triangular number is the sum of the first n positive integers, and it can be represented by the formula Tn = 1 + 2 + 3 + ... + n = (n(n+1))/2. The first few triangular numbers are 1, 3, 6, and 10.

Interestingly, in the list of the first few Pythagorean triples, we can observe a pattern where the value of b is four times a triangular number. For example, in the Pythagorean triple (3, 4, 5), we have b = 4T1. In (5, 12, 13), b = 4T2. In (7, 24, 25), b = 4T3. And in (9, 40, 41), b = 4T4.

So the question is: is this pattern true for all triangular numbers? Let's investigate further.

a) To find a primitive Pythagorean triple (a, b, c) with b = 4T5, we need to find a value of a and c such that a^2 + b^2 = c^2 and b = 4T5. Using the formula for T5, we get T5 = (5(5+1))/2 = 15. Therefore, b = 4T5 = 60. We can use the Euclid's formula for generating Pythagorean triples, which states that for any two positive integers m and n with m > n, a Pythagorean triple (a, b, c) can be generated by a = m^2 - n^2, b = 2mn, and c = m^2 + n^2.

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5.

Similarly, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7.

b) Now, the question is whether there is a primitive Pythagorean triple (a, b, c) with b = 4Tn for any triangular number Tn. Let's assume this is true and try to prove it.

Using the same Euclid's formula, we can generate a primitive Pythagorean triple (a, b, c) with b = 4Tn by setting m = 2Tn+1 and n = Tn. This gives us a = 4Tn^2 + 1 and c = 4Tn^2 + 2Tn + 1, and we can verify that b = 4Tn using the formula for Tn.

Therefore, we have proven that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

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Answer for this system: (-1, 4)

So, the equation we could use to find Jeremy's age, j, if he is the younger man, is: j = x + 2, where x satisfies the equation x(x + 2) = 783.

An equation is a mathematical statement that asserts the equality of two expressions. In an equation, an expression is written on the left side of an equals sign (=), and another expression is written on the right side of the equals sign. The equals sign indicates that the two expressions have the same value.

Here,

Let's use algebra to solve this problem. We can start by representing Sam's age as x and Jeremy's age as x + 2, since they are consecutive odd integers. We know that the product of their ages is 783, so we can set up the following equation:

x(x + 2) = 783

We can simplify this equation by multiplying out the left side:

x² + 2x = 783

Now we have a quadratic equation in standard form. We can solve for x by using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 2, and c = -783, so we can substitute these values into the formula:

x = (-2 ± √(2² - 4(1)(-783))) / 2(1)

Simplifying the expression under the square root, we get:

x = (-2 ± √(3136)) / 2

x = (-2 ± 56) / 2

So, we have two possible values for x:

x = 27 or x = -29

We can reject the negative value, since it does not make sense in the context of the problem. Therefore, we have:

x = 27

Now we can use this value to find Jeremy's age, which is x + 2:

j = x + 2

= 27 + 2

= 29

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Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

Answer:

2nd graph above the one you chose

Answer:

$9

Step-by-step explanation:

We know

They start at 10:15 and end at 11:45. It is 1 hour 30 minutes long.

1 hour 30 minutes = 90 minutes

The boat rental costs $1.50 for every 15 minutes.

How much will they pay?

We Take

90 divided by 15, then time 1.50 = $9

So, they pay $9

Answer:

Scott and Tom will pay a total of $9 for the boat rental.

Step-by-step explanation:

If Scott and Tom rent the boat between 10:15 and 11:45, then the total time they rented the boat is 1 hour and 30 minutes.

To convert 1 hour and 30 minutes to units of 15 minutes, we can divide the total number of minutes by 15:

⇒ 1 hour = 60 minutes

⇒ 1 hour and 30 minutes = 60 + 30 = 90 minutes

⇒ 90 minutes / 15 minutes = 6

Therefore, there are 6 units of 15 minutes in 1 hour and 30 minutes.

Given the cost for renting the boat is $1.50 per 15-minute interval, the total cost for renting the boat is:

⇒ 6 × $1.50 = $9

Therefore, Scott and Tom will pay $9 for the boat rental.

Answer: \(y=-\frac{5}{4} x+5\)

Step-by-step explanation:

Please mark brainliest if this helped :)

Answer

the answer is y=2x-x

Answer:

2121 Items

Step-by-step explanation:

Multiply 303 by 7 To get the answer 2121.

Answer:

43 rows & 2 left over

Step-by-step explanation:

So first, we have to do long division for 303 by 7.

303 ÷ 7 = 43 R 2

So you have 43 rows and 2 left over.

Hope this helped! :)

Answer:

63.8ft

Step-by-step explanation:

Answer:

I think it's because it is easier to solve when put into equations.

Step-by-step explanation:

Answer:

You're grade would be 70%

10/10 would be 100%

9/10 would be 90%

8/10 would be 80%

7/10 would be 70%

and so on... you will notice a pattern that works with numbers like 10, 100, 1000, etc.

The solution to the inequality "four-thirds times the absolute value of the quantity one fourth times x plus 3 end quantity is less than 4" is: C. x > −24 and x < 0.

In order to determine the solution to the given inequality, we would first of all translate the word description into an absolute value function (inequality) as shown below.

The word description "Four-thirds times the absolute value of the quantity one fourth times x plus 3 end quantity is less than 4" is given by:

Expression = 4/3 × |x/4 + 3| < 4

Expression = 4/3|x/4 + 3| < 4

By solving the expression within absolute value symbol, we have:

x/4 + 3 = (x + 12)/4

4/3|(x + 12)/4| < 4

Multiplying both sides of the inequality by 3/4, we have the following:

4|(x + 12)/4| < 12

(x + 12)/4 < 3

x + 12 < ±12

x > -12 - 12

x > -24

x + 12 < ±12

x < -12 + 12

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Answer:

−24<x<0, so x > -24 and x < 0

Step-by-step explanation:

So its C if im wrong my bad

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Answer:

x-4

Step-by-step explanation:

you get the value of h(x) by dividing f(x)/g(x), so you only put they values for divide.

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

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Answer:

of

Step-by-step explanation:

maaf ya kalo jawaban nya salah

Answer:

C. x = -12 and x = 2

Step-by-step explanation:

-x²-10x+24=0     Original equation

x²+10x-24=0      Divide everything by -1

(x+12)(x-2)=0      Factor it out

x=-12,2               Solve so that the inside of the parentheses equals 0