Hey everyone
This' just a random math question
\(x + 5 - \cfrac{1}{3} = 12\)
​

Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer:

\(4 \frac{13}{56} = \frac{223}{56} \)

Step-by-step explanation:

-4 ¹/7 + 8 ⅜

-(4 + ¹/7) + 8 + ⅜

-4 - ¹/7 + 8 + ⅜

(-4 + 8) + (-¹/7 + ⅜)

4 + 13/56

\( = 4 \frac{13}{56} = \frac{223}{56} \)

\($-4\frac{1}{7} +8\frac{3}{8}\)  is equal to \($4\frac{29}{56}\).

We have -

\($-4\frac{1}{7} +8\frac{3}{8}\)

We have to solve it.

For any mixed fraction -  \($a\frac{x}{y}\) you can convert it into simple fraction by -

\($\frac{y\times a+x}{y}\).

According to the question, we have -

\($-4\frac{1}{7} +8\frac{3}{8}\)

Assume the sum to be equal to S.

S = \($\frac{-27}{7} +\frac{67}{8}\)  = \($\frac{253}{56} =4\frac{29}{56}\)

Hence -

\($-4\frac{1}{7} +8\frac{3}{8}\)  is equal to \($4\frac{29}{56}\).

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

From the question, we have the following parameters that can be used in our computation:

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

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Answer:

whats the question there no question.

Step-by-step explanation:

Answer:

7*(6) - 9*(4)   =

________

4 * 4 * 6        =

Step-by-step explanation:

Try to solve it from here

To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees

In a triangle, the sum of the interior angles in the triangle is 180 degrees

For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees

Assuming the other angles are x and y, then a side is 90 degrees

x + y + 90 = 180 (sum of interior angles on a triangle)

x + y = 180 - 90

x + y = 90 degrees

hence the sum of the interior angles is 90 degrees

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Answer:

To solve this problem, we need to determine how much lemonade mix and water will be in the tank at a given time after the dispensing machine has been running for a certain amount of time.

Let's start by figuring out the rate of change of the water and lemonade mix in the tank. The rate of change of the water in the tank is 10 gallons per minute, and the rate of change of the lemonade mix in the tank is 6 pounds per minute.

So if we let t represent the number of minutes that the dispensing machine has been running, then the amount of water in the tank after t minutes will be:

200 + 10t gallons

And the amount of lemonade mix in the tank after t minutes will be:

105 + 6t pounds

Now, let's say we want to know how much lemonade we can make with the current mixture in the tank. To do this, we need to know the ratio of water to lemonade mix. We can find this by dividing the amount of water by the amount of lemonade mix:

(200 + 10t) / (105 + 6t)

This gives us the ratio of water to lemonade mix at any given time t.

Let's say we want to make 500 gallons of lemonade. We can set up an equation to solve for the amount of time it will take to make that much lemonade:

500 = (200 + 10t) / (105 + 6t)

To solve for t, we can cross-multiply:

500(105 + 6t) = 200 + 10t

52,500 + 3,000t = 200 + 10t

2,800t = 52,300

t ≈ 18.68

So it will take approximately 18.68 minutes to make 500 gallons of lemonade with the current mixture in the tank.

Step-by-step explanation:

Step 1: Identify the given information and what we need to find

We are given that we have a mixing tank with 200 gallons of water and 105 pounds of powdered lemonade mix. We also know that we can add water to the tank at a rate of 10 gallons per minute and powdered lemonade mix at a rate of 6 pounds per minute. We need to determine how much lemonade we can make with the current mixture in the tank and how long it will take to make that much lemonade.

Step 2: Determine the rate of change of water and lemonade mix in the tank

Since we are adding water to the tank at a rate of 10 gallons per minute and powdered lemonade mix at a rate of 6 pounds per minute, the amount of water and lemonade mix in the tank will increase by those amounts for each minute that the dispensing machine is running.

So after t minutes, the amount of water in the tank will be:

200 + 10t

And the amount of lemonade mix in the tank will be:

105 + 6t

Step 3: Determine the ratio of water to lemonade mix

To find the ratio of water to lemonade mix in the tank at any given time t, we need to divide the amount of water by the amount of lemonade mix:

(200 + 10t) / (105 + 6t)

This gives us the ratio of water to lemonade mix at any given time t.

Step 4: Set up an equation to solve for the time it will take to make 500 gallons of lemonade

We are told that we want to make 500 gallons of lemonade. To solve for the time it will take to make 500 gallons of lemonade, we can set up an equation:

500 = (200 + 10t) / (105 + 6t)

Step 5: Solve for t

To solve for t, we can cross-multiply the equation:

500(105 + 6t) = 200 + 10t

52,500 + 3,000t = 200 + 10t

2,800t = 52,300

t ≈ 18.68

So it will take approximately 18.68 minutes to make 500 gallons of lemonade with the current mixture in the tank.

Answer:

a) 752 medical files should be included.

b) 372 medical files should be included.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

Question a:

This is n for which M = 0.03. We have no estimate, so we use \(\pi = 0.5\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)

\(0.03\sqrt{n} = 1.645*0.5\)

\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)

\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)

\(n = 751.67\)

Rounding up:

752 medical files should be included.

Question b:

Now we have that:

\(\pi = \frac{13}{90} = 0.1444\)

So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.645\sqrt{\frac{0.1444*0.8556}{n}}\)

\(0.03\sqrt{n} = 1.645\sqrt{0.1444*0.8556}\)

\(\sqrt{n} = \frac{1.645\sqrt{0.1444*0.8556}}{0.03}\)

\((\sqrt{n})^2 = (\frac{1.645\sqrt{0.1444*0.8556}}{0.03})^2\)

\(n = 371.5\)

Rounding up:

372 medical files should be included.

Hey there!

\(Answer:\boxed{-18.4}\)

\(Explanation:\)

\((-8)(2.3)\)

Multiply 18 by 2.3

\(-8*2.3=-18.4\)

\(\boxed{-18.4}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Therefore , the solution of the given problem of perimeter comes out to be  PQRS  = 29 units.

The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter.  The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.

Here,

Given : PQRS has the length 12

and TUVW has length 15.

thus ,

To find the perimeter of PQRS:

we find,

TUVW = 35 units

and

PQRS = 35 - 6

=> PQRS  = 29

Therefore , the solution of the given problem of perimeter comes out to be  PQRS  = 29 units.

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Based on the calculations, Tart & Sweet's total profit from April to June is equal to -2 dollars.

A bar chart can be defined as a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

In order to determine Tart & Sweet's total profit, we would simply add the amount of money (in dollars) generated from April to June as follows:

Total profit = -8 + 2 + 4

Total profit = -$2.

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Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

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Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,

3 inches = 0.25 foot

If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,

Volume of concrete = 650 ft² × 0.25 ft = 162.5 ft³

Now, one yard is equal to 3 feet, therefore,

1 cubic foot = 1/27 cubic yards

162.5 cubic feet = 6.0185 cubic yards

Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

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The graph of the given linear equation is the one that you can see below.

To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.

For x = 0 we have:

y = 15 - 4*0 = 15

So we have the point (0, 15).

For x = 1 we have the point:

y = 15 - 4*1 = 11

So we have the point (1, 11).

Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.

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Speed per hour = distance / time

Speed = 73 1/3 / 3/2

Speed = 220/3 / 3/2

Speed = 220/3 x 2/3

Speed = 440 /9

Speed = 48 8/9 miles per hour.

Answer: .01

Step-by-step explanation:

The situations described can be classified as experiment, and observational study.

An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.

An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.

Note: This question is incomplete because there is some information missing. Here is the information missing.

OPTIONS:

Does learner-centered instruction increase students' success rates in maths?

What proportion of registered women voters voted in the 2016 U.S. presidential election?

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Answer:

1. (28-2)x

2.(12+6)x

3.(15+1)x

Step-by-step explanation:

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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==========================================

Explanation:

Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.

There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.

The first slot has 20 choices

The second slot has 19 choices

The third has 18 choices

And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15

They multiply out to 20*19*18*17*16*15 = 27,907,200

This is the number of permutations where we choose 6 from a pool of 20.

With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.

So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get

(27,907,200)/(720) = 38,760

There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.

We'll use this later later, so let A = 38,760

------------------------------------------------------

Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.

We have our original total of 22 students. There are still 6 seats to fill.

We could follow the same steps as the prior section, but I'll use a different route.

Let n = 22 and r = 6. Plug these values into the nCr combination formula below

\(_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\\)

There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.

Let B = 74,613

------------------------------------------------------

To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier

A/B = (38,760)/(74,613) = 0.5194805

This value is approximate.

Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519

There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.

Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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Answer:

\(y = - 3x - 1\)

Step-by-step explanation:

shown in attachment

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The Graph shows the line function;

When the value of x is 0, y will be -3.

When the value of x is -1, y will be -2.

When the value of x is -2, y will be -1.

When the value of x is -3, y will be 0.

The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).

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The equation that relates x and y is given by y = 24x

y = k × x

Where,

k = constant of proportionality

x = 3

y = 72

y = k × x

72 = k × 3

72 = 3k

divide both sides by 3

k = 72/3

k = 24

Hence,

The equation that relates x and y is;

y = kx

y = 24x

.

In conclusion, y = 24x is the equation that relates x and y

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The inner loop of a graph can be described an an edge on the graph that connects the vertex of that graph to itself

This can be a single edge or a multiple edges

As seen below, all the loops connect to

We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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