Entrance tickets for a carnival are $6 for children and $11 for adults. If one evening 968 tickets were sold with total receipts of $7018, how many children and how many adults entered the carnival?​

Answer:

a) \(-225.000\,G\), b) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, c) El saldo fue menor durante 3 meses.

Step-by-step explanation:

a) Asumamos que la caja de ahorro es un recipiente, donde las entradas de dinero son positivas y las salidas negativas. Un descuento debe entenderse como negativa en tanto que se paga en función de no superar el saldo mínimo permitido en un período determinado. En consecuencia, el descuento sufrido por el padre de Leticia se describe como -225.000 G.

b) y c) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, es decir:

\(x = \frac{225.000\,G}{75.000\,\frac{G}{mes} }\)

\(x = 3\,meses\)

Answer:

easygtrderdcgfc

Step-by-step explanation:

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1321321

Answer:

What exactly does “ASAP” mean? Ok yes, it means as soon as possible, but in terms of actual time, it means nothing. Th

Answer:

Step-by-step explanation:

H(n)=91x(-1/7) n-1

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Hope it helps the answer is the 2nd one have a great day

Answer:

The 95% confidence interval for the mean tuition for all colleges and universities in the United States is between $15718 and $22882.

Step-by-step explanation:

Sample size greater than 30, which means that we use the normal distribution to find the interval.

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

α = (1 - 0.95) / 2

  = 0.025

Now, we have to find z in the table as such z has a pvalue of . So it is z with a pvalue of 1 - 0.025 = 0.975.

So, z = 1.96

Now, find M as such

M = z * (σ / √n )

In which σ is the standard deviation of the population and n is the size of the sample.

M = 1.96 * ( 10800 / √35 )

M = 3581.72

M ≈ 3582

The lower end of the interval is the sample mean subtracted by M. So it is 19300 - 3582  = $15718.

The upper end of the interval is the sample mean added to M. So it is  19300 + 3582  = $22882.

The 95% confidence interval for the mean tuition for all colleges and universities in the United States is between $15718 and  $22882.

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The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.

According to the question,

We have the following information:

Angle CAB = 2x

Angle CBA = 3x-20

And the given triangle is a right-angled triangle which means that one of its angle is 90°.

Now, we know that the sum of three angles of a triangle is 180°.

So, we have the following expression:

2x+3x-20+90 = 180°

5x+70 = 180

5x = 180-70

5x = 110

x = 110/5

x = 22°

Now, putting the value of x in given angles:

Angle CAB = 2x

Angle CAB = 2*22

Angle CAB = 44°

Angle CBA = 3x-20

Angle CBA = 3*22-20

Angle CBA = 66-20

Angle CBA = 46°

Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.

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The coefficient of variation for Bank A is approximately 8.04%, while the coefficient of variation for Bank B is approximately 25.55%.

To find the coefficient of variation for each set of data, we need to calculate the mean and standard deviation for each set. The coefficient of variation is then calculated by dividing the standard deviation by the mean and multiplying by 100.

Let's calculate the coefficient of variation for each set of data:

Bank A (single line):

Mean: Calculate the mean of the data set.

Mean = (6.5 + 6.6 + 6.7 + 6.7 + 7.1 + 7.4 + 7.5 + 7.7 + 7.7 + 7.7) / 10 = 7.03 minutes

Standard deviation: Calculate the standard deviation of the data set.

Standard deviation = √[(6.5 - 7.03)² + (6.6 - 7.03)² + ... + (7.7 - 7.03)²] / 10 ≈ 0.565 minutes

Coefficient of variation:

Coefficient of variation = (0.565 / 7.03) * 100 ≈ 8.04%

Bank B (individual lines):

Mean: Calculate the mean of the data set.

Mean = (4.0 + 5.4 + 5.9 + 6.2 + 6.8 + 7.7 + 7.7 + 8.5 + 9.4 + 9.8) / 10 = 7.5 minutes

Standard deviation: Calculate the standard deviation of the data set.

Standard deviation = √[(4.0 - 7.5)² + (5.4 - 7.5)² + ... + (9.8 - 7.5)²] / 10 ≈ 1.916 minutes

Coefficient of variation:

Coefficient of variation = (1.916 / 7.5) * 100 ≈ 25.55%

Comparing the variation:

The coefficient of variation for Bank A is approximately 8.04%, while the coefficient of variation for Bank B is approximately 25.55%. Since the coefficient of variation measures the relative variability of the data, we can conclude that the waiting times at Bank B (individual lines) have a higher variation compared to Bank A (single line).

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Answer:

600

Step-by-step explanation:

24 by 3 times 100

The number of milligrams of fat that one serving has is 8000 milligrams.

Firstly, it should be noted that

1000mg = 1 gram.

Since three servings of ice cream has 24g of fat, therefore, the fa that will be contained in each will be:

= 24/3

= 8g

Therefore, we'll convert 8 grams to milligrams and this will be:

= 8 × 1000

= 8000 milligrams.

Therefore, a serving has 8000 milligrams.

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Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Answer:

He should leave by 10:30 a.m

Step-by-step explanation:

If he drives 60 miles per hr it will take him 270÷60=4.5 (4 n half) hrs to reach there.

If he want to be there at 3p.m he should leave by 10:30 a.m

Answer:

B

Step-by-step explanation:

While reading, I felt like the quote was in an angry tone. It sounded like the author wanted the Devil to know that he was ready to attack him in vengeance and questioned why the Devil wasn't afraid.

Answer:

27 over 200

Step-by-step explanation:

27 ÷200= 0.135

Answer: 135/1000 = 27/200

Step-by-step explanation:

Answer:

184320 Cubic Cenimeters

Step-by-step explanation:

Answer: C

Step-by-step explanation: Brainliest please

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

$3.05

Step-by-step explanation:

Each box is $0.05

The shades boxes represent the value of coin in each pocket :

Number of shaded boxes on the left = 24

Value of coins in left pocket = 24 * $0.05 = $1.2

Number of shaded boxes on the right = 37

Value of coins in right pocket = 37 * $0.05 = $1.85

Tital value if coins :

$1.85 + $1.2

= $3.05

It looks like the inequality is

\(\bigg|x + 6 - |3x + 6|\bigg| + |x + 2| - x - 4 \le 0\)

or equivalently,

\(\bigg|x + 6 - 3 |x + 2|\bigg| + |x + 2| - x - 4 \le 0\)

Recall the definition of absolute value:

\(|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}\)

By this definition, we have

\(|x + 2| = \begin{cases} x + 2 & \text{if } x + 2 \ge 0 \\ -(x + 2) & \text{if } x + 2 < 0 \end{cases} = \begin{cases} x + 2 & \text{if } x \ge -2 \\ -x - 2 & \text{if } x < -2 \end{cases}\)

Suppose \(x < -2\). Then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (-x - 2)| + (-x - 2) - x - 4 \\\\ = |4x + 12| - 2x - 6\)

By definition of absolute value,

\(|4x + 12| = 4 |x + 3| = \begin{cases} 4x + 12 & \text{if } x \ge -3 \\ -4x - 12 & \text{if } x < -3 \end{cases}\)

so we further suppose that \(x < -3\). Then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (-4x - 12) - 2x - 6 \\\\ = -6x - 18 \le 0 \\\\ \implies x \ge -3\)

but this is a contradiction, so this case gives no solution.

If instead we have \(-3 \le x < -2\), then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (4x + 12) - 2x - 6 \\\\ = 2x + 6 \le 0 \\\\ \implies x \le -3\)

and \(-3 \le x\) and \(x \le -3\) means that \(\boxed{x = -3}\).

Now suppose \(x \ge -2\). Then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (x + 2)| + (x + 2) - x - 4 \\\\ = |-2x| - 2 \\\\ = 2 |x| - 2\)

If we further suppose that \(-2 \le x < 0\), then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = -2x - 2 \le 0 \\\\ \implies x \ge -1\)

Otherwise, if \(x \ge 0\), then

\(\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = 2x - 2 \le 0 \\\\ \implies x \le 1\)

Taken together, this case gives the solution \(\boxed{-1 \le x \le 1}\)

So, the overall solution to the inequality is the set

\(\boxed{\left\{ x \in \mathbb R : x = -3 \text{ or } -1 \le x \le -1 \right\}}\)

ANSWER :

The values of x are -8 and 8

EXPLANATION :

From the problem, we have the equation :

Add 47 to both sides :

Take the square root of both sides :

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

8

Step-by-step explanation:

Make x the answer the the equation by swapping the answer with x

6+2=x

Then solve and plug in the variables

8=x

8-6=2

Answer:

x = 8

Step-by-step explanation:

this is because

8-6=2

The unit rate for typing words is 66.67 words per minute.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You type 800 words in 12 minutes.

To find the unit rate:

The unit rate means, terms per 1 minute.

We have used minute for this particular expression.

Use division operation,

Unit rate = 800 / 12 words per minute.

Unit rate = 66.67 words per minute.

Therefore, 66.67 words per minute is the unit rate.

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Answer:

5(x+4) (x-2)

Step-by-step explanation:

5x^2 + 10x - 40

Factor out a 5

5(x^2 +2x - 8)

Looking at the inside of the parentheses

What 2 numbers multiply to -8 and add to 2

4 *-2 = -8

4+-2 = 2

5(x+4) (x-2)

Given.

\(5x^2+10x-40\)

Factor out the GCF.

\(5(x^2+2x-8)\)

Use AC method.

\(x^2+bx+c\)

\(x^2+2x-8\)

Find product of b (-8) and sum of c (2x).

(-2,4)

When you solve.

\(5((x-2)(x+4))\)

\(x7 - 2 \: or \: x \leqslant - 3\)

Answer:

6 units

Step-by-step explanation:

count squares from point B to D

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

m is

\( \frac{1}{28} \)

Answer:

0.625

Step-by-step explanation:

Answer:

the answer is 39

Step-by-step explanation:

you take 300 - 271 and you get 39

Answer:

29? or I'm just gullible.

Step-by-step explanation:

It seems like 29 so hopefully it is