Lillian wants to give 1/3 of a pizza to each of six girls at her party

Answer:

x<3

Step-by-step explanation:

5(3-x)>-2x+6

15-5x>-2x+6

-5x>-2x-9

-3x>-9

x<3

Hope this helps

Answer and Step-by-step explanation:

The given function is:

F(y) =1 – 1/y2 ,  1 ≤ y < ∞

Verify function is valid

Limy->-∞f(y) = Limy->-∞ 0 = 0

Limy->∞f(y) = Limy->∞ 1 – 1/y2

                  = 1, for y ≤ 1

F(y) = 0 is constant. For y > 1, f”(y) = 2 / y3 > 0

So, function is increasing. Therefore f(y) is cdf.

Probability density function

The probability density function is

F(y) = d/dy f(y) = {(2/y2  if y>1o if y≤1 )}

z = 5(y+1)

F (z) = p (z ≤z) = p (5(y+1) ≤z)

 = p(y ≤ (z/5) – 1)

 F (z) ={(0 if z≤0 and 1-1/(z/5-1)2  if z>0 )

Answer:

27°

Step-by-step explanation:

Add the 2 given angle measures to get 153°, and then subtract that from 180° to get 27°. (Remember that all interior angles of a triangle will add up to 180°).

Hope this helped :)

The inequality that has the solutions represented by the graph?

2x - 5 > 3

The solution of the inequality represented by the graph is x > 4

The solution of the given inequalities are:

5 - x > 4;

solution: x < 1

2x + 1 ≥ 9;

solution: x ≥ 4

2x - 5 > 3

solution: x > 4

6x - 7 > 5

solution: x > 3

2. Considering the inequality statement given:

n ≤ 3: This is a solution.

If we substitute n with 3, we get 5 + 2(3) ≤ 11, which simplifies to 11 ≤ 11, which is true. And if we substitute n with any number less than 3, the inequality will still hold.

3 ≥ n: This is also a solution.

If we substitute n with 3, we get 5 + 2(3) ≤ 11, which simplifies to 11 ≤ 11, which is true. And if we substitute n with any number greater than 3, the inequality will still hold.

n ≤ 8: This is a solution.

If we substitute n with 8, we get 5 + 2(8) ≤ 11, which simplifies to 21 ≤ 11, which is false. But if we substitute n with any number less than or equal to 8, the inequality will still hold.

3 ≥ n: This is the same as the second representation, so it is also a solution.

Learn more about solutions of inequalities at: https://brainly.com/question/25944814

#SPJ1

Complete question:

Which inequality has solutions represented by the graph?

5 - x > 4

2x + 1 ≥ 9

2x - 5 > 3

6x - 7 > 5

Consider the inequality Five plus two times a number n is less than or equal to eleven. Indicate whether each representation is or is not a solution.

n ≤ 3

3 ≥ n

n ≤ 8

3 ≥ n

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

To more on Graph:
https://brainly.com/question/19040584
#SPJ8

Complementary angles have sum 90°

\(\\ \rm\Rrightarrow 5x+7x-6=90\)

\(\\ \rm\Rrightarrow 12x-6=90\)

\(\\ \rm\Rrightarrow 12x=96\)

\(\\ \rm\Rrightarrow x=8\)

Answer:

x = 8

Step-by-step explanation:

Complementary angles are two angles with measures that sum to 90°

Given:

⇒ m∠C + m∠D = 90°

⇒ 5x + 7x - 6 = 90

⇒ 12x - 6 = 90

⇒ 12x = 96

⇒ x = 8

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

7 schools have fewer than 50 classrooms.

Answer:

area of field = 146.24 m²

Step-by-step explanation:

Total area of field = I + II + III

Total area of field = 64 + 32 + 50.24

Total area of field = 146.24 m²

In probability, The qualifying speed would be 47.4 wpm.

What does a probability mean?

Let's find the z-score this way:

μ  = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

Learn more about  probability

brainly.com/question/24281002

#SPJ9

0.909 is the  absolute value of -0.909

A number system is defined as a system of writing to express numbers.

The given number is a decimal number

-0.909

Minus zero point nine zero nine

We need to find the absolute value of -0.909

Absolute value of a Decimal is its numeric value without its sign

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

0.909 is the  absolute value of -0.909

Hence,  0.909 is the  absolute value of -0.909

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

Hello,

Step-by-step explanation:

\(1 < x\leq 5 \ \\\Longrightarrow\ 4 < 4x \leq 20 \ \\\Longrightarrow\ -1 < 4x-5 \leq 15 \\\Longrightarrow\ -1 < f(x) \leq 15 \\\\range=]-1; 15]\)

The range of the function f(x) = 4x - 5 will range from -1 to 15.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that the function f(x) = 4x – 5 and the interval is  1 < x ≤ 5. The range will be calculated as,

1 < x ≤ 5

4 < 4x ≤ 20

4-5<4x - 5< 20-5

-1 < 4x - 5 < 15

Therefore, the range of the function f(x) = 4x - 5 will range from -1 to 15.

To know more about function and range follow

https://brainly.com/question/26098895

#SPJ2

Answer:

$1950.74

Step-by-step explanation:

step 1

x(1 + 0.06/12)^5=2000

step 2

x= 2000/(1 + 0.06/12)^5

= 1950.741337

Answer: 500

Step-by-step explanation:

formula for interest is

I= Principle x Rate x Time

2% as a decimal is 0.02

Answer:

\(n-1\)

Step-by-step explanation:

The amount of integers between \(a\) and \(b\) inclusive is always \(|a-b|-1\).

This means the amount of integers Michael wrote is \(|(3)-(n+5)|-1=|-2-n|-1=|n+2|-1\). Because \(n+5>=3\) , which gives \(n>=-2\), \(n+2\) is always non-negative. So, we can kick out the absolute value sign to get \(n+2-1=n-1\).

So, he wrote \(\boxed{n-1}\) integers and we're done!

Answer:

7(5m² - 9)

Step-by-step explanation:

35m² - 63 =

Factor our the greatest common factor, 7.

= 7(5m² - 9)

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

The best description of the pattern of association for the graph is that there is a positive nonlinear association.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We can see that as the amount of time spent studying for the exam increases, the exam score generally increases as well.

This suggests a positive association between the two variables.

Additionally, we can see that the relationship between the variables is not perfectly linear.

The points seem to follow a general upward trend, but there is some variability in the scores for a given amount of study time.

This suggests a positive nonlinear association.

Therefore, the best description of the pattern of association for the graph is that there is a positive nonlinear association.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer:

17.10

Step-by-step explanation:

Take the total cost and divide by the number of bottles

68.40/4

17.10

Answer:

yesss

Step-by-step explanation:

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

Find out more on domain here: https://brainly.com/question/26098895

#SPJ1

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

here ....x = 2 and y = 3

\( = xy - y + x \times x\)

\( = 2 \times 3 - 3 + 2 + 2 \times 2\)

\( = 6 - 3 + 2 + 4\)

\( = 12 - 3\)

\( = 9\)

Answer:

8/40 = 20%

Step-by-step explanation:

Simply count the cubes in the blue rectangle, then count the cubes in the red rectangle. Divide red by blue, multiply that by 100. Thus giving your percent.

Answer: C. t = p / s1-s2

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

shape can be made into a trapezoid and square

rectangle area= a*b

triangle = 1/2 a*b

rectangle  = 64

triangle = 4

64-4=60

Answer:

F. t = 6

Step-by-step explanation

5t - 3 = 3t + 9

add 3t to both sides

2t - 3 = 9

add 3 to both sides

2t = 12

divide both sides by 2

t = 6