A student measured her height to be 51 inches. What is the student's height in feet and inches?
Enter the numbers in the boxes provided.

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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The probability for the  random sample are estimated as:

a) P(13 ≤X ≤ 16) = P( 0.158 ≤  X ≤ 0.50)

b) P(X ≤ 13) =  P( X ≤  0.158)

c) P(X >22)  =  P( X > 0.9777 )

The random sample will consist of a sample mean that asymptotically follows the normal distribution regardless of the distribution of both the parent population if a sample of size (n) is obtained from the population and as the sample's number of participants keeps increasing.

Let's say a random variable is divided up with just some parameters (μ,σ).

X~N(16,3³)

Then,

mean μ = 16

standard deviation σ = 3

z score is: z = (x - μ)/σ

The probability are estimated as:

a) P(13 ≤X ≤ 16)

P(13 ≤X ≤ 16) = P( (13 - μ)/σ  ≤  X ≤  (16 - μ)/σ )

                     = P( (13 - 16)/3  ≤  X ≤  (16 - 16)/3 )

                     = P( -1  ≤  X ≤  0 )

                     = P(  0.158 ≤  X ≤ 0.50)

b) P(X ≤ 13)

P(X ≤ 13) = P( X ≤  (13 - μ)/σ )

               =  P( X ≤  (13 - 16)/3 )

               =  P( X ≤  -1 )

               =  P( X ≤  0.158)

c) P(X >22)

P(X >22) = P( X > (22- μ)/σ )

              =  P( X > (22- 16)/3 )

              =  P( X > 2 )

              =  P( X > 0.9777 )

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Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

Step-by-step explanation:

(4,8)..Its the only one in which x doesnt repeat

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Answer: 7

Step-by-step explanation:

15-8 is 7

Answer:

2nd one and the last one

Step-by-step explanation:

The pattern that this system detects is a four-digit number that is divisible by 3.

1. The system starts by taking an input of a four-digit number.

2. It then checks if the last digit of the input number is divisible by 3.

3. If it is, the system continues to check if the sum of the remaining three digits is divisible by 3.

4. If this turns out to be true, the system will output a signal indicating that the input number is divisible by 3.

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Given rational expression is

The given rational expression is undefined when

Hence, the value of d for which the rational expression is undefined is 0.5

Answer:

C: 2500

Step-by-step explanation:

1) Simplify the question down as much as you can

In the question we can simplify the \(10^{3}\) to 1000

We can also change the · into a ×

This means our final simplified question would be 2.5 × 1000

2) Solve

An easy way of doing 2.5 × 1000 is to move the decimal point however many zeros there are...

E.g. To move the decimal point 3 times we would go three points to the right which would be 2500

HINT:

Another way of doing it would be to use long multiplication!

Hope this helps, have a great day!

Answer:

a) According to probability theory, the following are possible:

(1) The probability that a customer will buy 5 items in a single purchase is 30%.  This represents a 0.30 chance of the customer buying 5 items.

(3) The probability that a customer will buy 3 items in a single purchase is 99%  This means that there a 0.99 chance that the customer will buy 3 items.

b) According to probability theory, the following are not possible:

2) The probability that a customer will buy 3 items in a single purchase is 101%.  Probability is always equal to 1 or 100%.  It cannot exceed 100%.

(4) The probability that a customer will buy 8 item.  This part lacks the necessary information to solve the problem.

Step-by-step explanation:

Probability describes the likelihood or chance of an event happening out of the many possible events that can take place.  The sum of all probabilities for a particular event is always equal to 1.  This shows that probability does not exceed 100%.

Answer:

$4320

Step-by-step explanation:

it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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Using the Leading Coefficient Test the end behavior of the given function f(x) = −x⁴ − 2x³ + 2x² − 5 is

The end behavior of function typically says the characteristics of the function at the ends

The given function is:

f(x) = −x⁴ − 2x³ + 2x² − 5

The end behavior is determined by the leading Coefficient =  −x⁴  and it is described as

x ⇒ ∞ f(x) ⇒ ∞

x ⇒ -∞ f(x) ⇒ -∞

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Answer:

20.943951023932 m^3

Step-by-step explanation:

v=1/3pi(r)^2h

v=1/3pi(2)^2(5)

v=20.943951023932 m^3

Answer:

62.8

Step-by-step explanation:

2 × 2 × 3.14 × 5 = 62.8

Answer: D

Step-by-step explanation:

Answer:

126 students are first-year students.

Step-by-step explanation:

The answer is 126 because 30% of 420 is 126.

P.S Can I have brainliest?

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

Both works will be repeated at 840km

Step-by-step explanation:

Given

Fills Petrol = Every 84km

Change Mobil = Every 120km

Required

Determine the distance where both works are done at the same time

This solution to this question is to solve for the LCM of 84 and 120

Start by factoring 84

\(84 = 2 * 2 * 3 * 7\)

Then, 120

\(120 = 2 * 2 * 2 * 3 * 5\)

Then the LCM is as follows;

\(LCM = 2 * 2 * 2 * 3 * 5 * 7\)

\(LCM = 840\)

Hence, both works will be repeated at 840km

Answer:

y = -2x + 6    2x + y = 6

Step-by-step explanation:

(3,0) (0,6)

6 - 0

0 - 3

= -6/3 = -2

2x + y = 6

Answer:

The answer is

Step-by-step explanation:

To find the percentage at which the number decreased we use the formula

From the question

The original number is 35

To find the change subtract the smaller number from the larger number

That's

Change = 35 - 33 = 2

Substitute the values into the above formula and solve.

That's

We have the final answer as

Therefore the number decreased by 5.7%

Hope this helps you

Answer:5.7

Step-by-step explanation:

Hope that helps

Answer:

16/3 in decimal form = 3 ˙ 5.

Step-by-step explanation:

16/3 into decimal form would be 5.3

Answer:

24

Step-by-step explanation:

150 x .84 =126 foreign

150-126=24 other stamps

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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